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CN111819454B - Method and apparatus for measuring the direction of a magnetic field - Google Patents

Method and apparatus for measuring the direction of a magnetic field Download PDF

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CN111819454B
CN111819454B CN201980018727.3A CN201980018727A CN111819454B CN 111819454 B CN111819454 B CN 111819454B CN 201980018727 A CN201980018727 A CN 201980018727A CN 111819454 B CN111819454 B CN 111819454B
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magnetic field
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orientation
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CN111819454A (en
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F.普尔克尔
A.布伦奈斯
R.勒尔韦
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/20Arrangements or instruments for measuring magnetic variables involving magnetic resonance
    • G01R33/24Arrangements or instruments for measuring magnetic variables involving magnetic resonance for measuring direction or magnitude of magnetic fields or magnetic flux
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/20Arrangements or instruments for measuring magnetic variables involving magnetic resonance
    • G01R33/24Arrangements or instruments for measuring magnetic variables involving magnetic resonance for measuring direction or magnitude of magnetic fields or magnetic flux
    • G01R33/26Arrangements or instruments for measuring magnetic variables involving magnetic resonance for measuring direction or magnitude of magnetic fields or magnetic flux using optical pumping
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N24/00Investigating or analyzing materials by the use of nuclear magnetic resonance, electron paramagnetic resonance or other spin effects
    • G01N24/10Investigating or analyzing materials by the use of nuclear magnetic resonance, electron paramagnetic resonance or other spin effects by using electron paramagnetic resonance
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/20Arrangements or instruments for measuring magnetic variables involving magnetic resonance
    • G01R33/28Details of apparatus provided for in groups G01R33/44 - G01R33/64
    • G01R33/32Excitation or detection systems, e.g. using radio frequency signals
    • G01R33/323Detection of MR without the use of RF or microwaves, e.g. force-detected MR, thermally detected MR, MR detection via electrical conductivity, optically detected MR

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Abstract

本发明涉及一种用于测量外部磁场的磁场方向的方法,该方法具有步骤:将样品(2)引入(S1)到外部磁场中,其中样品(2)具有缺陷,所述缺陷预先规定样品(2)的相对应的取向方向;在样品(2)的区域中产生(S2)交变磁场,所述交变磁场具有预先规定的或者可预先规定的磁场方向;测量(S3)由于样品(2)与交变磁场的相互作用引起的自旋共振效应;和在使用所测量的自旋共振效应和使用交变磁场的磁场方向相对于样品(2)的取向方向的定向的情况下,测定(S4)外部磁场的磁场方向。

Figure 201980018727

The invention relates to a method for measuring the direction of the magnetic field of an external magnetic field, the method having the steps of introducing (S1) a sample (2) into an external magnetic field, wherein the sample (2) has a defect which predefines the sample ( 2) corresponding orientation direction; generating (S2) an alternating magnetic field in the region of the sample (2), said alternating magnetic field having a predetermined or predeterminable magnetic field direction; measuring (S3) due to the sample (2) ) spin resonance effect caused by the interaction with the alternating magnetic field; and using the measured spin resonance effect and using the orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample (2), determining ( S4) The magnetic field direction of the external magnetic field.

Figure 201980018727

Description

用于测量磁场方向的方法和设备Method and device for measuring the direction of a magnetic field

技术领域technical field

本发明涉及一种用于测量外部磁场的磁场方向的方法和一种相对应的设备。The invention relates to a method and a corresponding device for measuring the field direction of an external magnetic field.

背景技术Background technique

确定磁场在传感器技术中起到重要作用。例如,在车辆中或者利用便携式设备,可测定用于导航的方位。也为了对金属的或者磁的对象进行测位,需要高精度的磁场传感器。磁场的将来的可能应用可以是人机接口。借助磁场传感器,测量在大脑活动中形成的电流。Determining the magnetic field plays an important role in sensor technology. For example, in a vehicle or with a portable device, a position for navigation can be determined. High-precision magnetic field sensors are also required for the positioning of metallic or magnetic objects. A possible future application of magnetic fields could be human-machine interfaces. With the help of a magnetic field sensor, the electrical currents formed during brain activity are measured.

借助磁场脉冲确定磁场例如从WO 2016/118791 A1中已知。为此,采用带有具有氮空位中心(NV中心)的金刚石的样品。The determination of the magnetic field by means of magnetic field pulses is known, for example, from WO 2016/118791 A1. For this, samples with diamonds having nitrogen vacancy centers (NV centers) were used.

Balasubramanian的“Nanoscale imaging magnetometry with diamond spinsunder ambient conditions”(Nature,第455卷,第648-651页,2008年)提供了对NV中心的研究。"Nanoscale imaging magnetometry with diamond spins under ambient conditions" by Balasubramanian (Nature, vol. 455, pp. 648-651, 2008) provides a study of the center of the NV.

除了精确地确定磁场强度之外,对于许多应用而言也要求知晓磁场方向。因此存在对可小型化的和成本有利的传感器设备的需求,以确定磁场方向。In addition to accurately determining the magnetic field strength, knowledge of the magnetic field direction is also required for many applications. There is therefore a need for miniaturizable and cost-effective sensor devices for determining the direction of a magnetic field.

发明内容Contents of the invention

本发明提供了一种用于测量外部磁场的磁场方向的方法,并且提供了一种用于测量外部磁场的磁场方向的设备。The present invention provides a method for measuring the magnetic field direction of an external magnetic field, and provides an apparatus for measuring the magnetic field direction of an external magnetic field.

优选的实施形式也在下面给出。Preferred embodiments are also given below.

根据第一方面,本发明因此涉及一种用于测量外部磁场的磁场方向的方法。样品被引入到外部磁场中,其中该样品具有缺陷,所述缺陷预先规定样品的相对应的取向方向(Orientierungsrichtung)。在样品的区域中产生具有预先规定的或者可预先规定的磁场方向的交变磁场。由于样品与交变磁场的相互作用而形成自旋共振效应,并且测量这些自旋共振效应。在使用所测量的自旋共振效应和使用交变磁场的磁场方向相对于样品的取向方向的定向(Ausrichtung)的情况下,测定外部磁场的磁场方向。According to a first aspect, the invention therefore relates to a method for measuring the magnetic field direction of an external magnetic field. A sample is introduced into an external magnetic field, the sample having defects which predetermine a corresponding orientation direction of the sample. An alternating magnetic field with a predetermined or predeterminable magnetic field direction is generated in the region of the sample. Spin resonance effects are formed due to the interaction of the sample with the alternating magnetic field, and these spin resonance effects are measured. Using the measured spin resonance effect and using the orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample, the magnetic field direction of the external magnetic field is determined.

根据第二方面,本发明因此涉及一种用于测量外部磁场的磁场方向的设备,所述设备具有样品,所述样品可引入到外部磁场中。该样品具有缺陷,所述缺陷预先规定相对应的取向方向。所述设备进一步具有磁场装置,所述磁场装置可以在样品的区域中产生具有预先规定的或者可预先规定的磁场方向的交变磁场。该设备具有测量装置,所述测量装置测量自旋共振效应,所述自旋共振效应由样品与交变磁场的相互作用造成。最后,该设备具有评估装置,所述评估装置在使用所测量的自旋共振效应和使用交变磁场的磁场方向相对于样品的取向方向的定向的情况下来测定外部磁场的磁场方向。According to a second aspect, the invention thus relates to a device for measuring the field direction of an external magnetic field, said device having a sample which can be introduced into the external magnetic field. The sample has defects which predetermine a corresponding orientation direction. The device furthermore has a magnetic field arrangement which can generate an alternating magnetic field with a predetermined or predeterminable magnetic field direction in the region of the sample. The device has a measuring device which measures spin resonance effects which are caused by the interaction of a sample with an alternating magnetic field. Finally, the device has an evaluation device that determines the field direction of the external magnetic field using the measured spin resonance effect and the orientation of the field direction of the alternating magnetic field relative to the orientation direction of the sample.

本发明的优点Advantages of the invention

本发明能够实现,依据对具有缺陷的样品的调查,测量开头未知的外部磁场的磁场方向。交变磁场的磁场方向相对于样品的取向方向的定向是已知的,并且被考虑用于测定外部磁场的磁场方向。样品例如可以是具有预先规定的晶体结构的固体。在晶体生长时,可能出现确定的缺陷,其中缺陷的定向典型地限于少数几个通过晶体结构预先规定的方向。这些取向方向已经由于样品的制造方法而可能是已知的。然而根据其他实施形式,也可以在下面进一步描述的校准步骤中测定这些取向方向。The invention makes it possible, on the basis of investigations of samples with defects, to measure the magnetic field direction of an initially unknown external magnetic field. The orientation of the field direction of the alternating magnetic field relative to the orientation direction of the sample is known and taken into account for determining the field direction of the external magnetic field. A sample can be, for example, a solid with a predetermined crystal structure. During crystal growth, defined defects may appear, wherein the orientation of the defects is typically limited to a few directions predetermined by the crystal structure. These orientation directions may already be known due to the method of fabrication of the samples. According to other embodiments, however, these orientation directions can also be determined in a calibration step described further below.

与通过恒定电流产生的静态磁场相比,或与磁场脉冲相比,通过使用交变磁场可以实现明显更低的能量消耗。由此,本方法和本设备尤其是也适用于在移动应用中采用。By using an alternating magnetic field, significantly lower energy consumption can be achieved compared to a static magnetic field generated by a constant current, or compared to magnetic field pulses. The method and the device are therefore also suitable, in particular, for use in mobile applications.

根据本方法的优选的改进方案,测量自旋共振效应包括测量光探测磁共振(ODMR)和/或电探测磁共振(EDMR)。根据一实施形式,测量自旋共振效应可以包括:测量ODMR谱和/或EDMR谱。测定调节参量(即所施加的交变磁场的方向和数值)对电子自旋共振的谱的影响。谱的测量被理解为根据变量来测定测量参量,其中所述变量以优选地相同的步长变化。然而根据确定的实施形式,只测量谱中的确定的点。因此,并不一定要求完整确定该谱。According to a preferred development of the method, the measurement of the spin resonance effect comprises the measurement of optically detected magnetic resonance (ODMR) and/or electrically detected magnetic resonance (EDMR). According to an embodiment, measuring the spin resonance effect may comprise: measuring an ODMR spectrum and/or an EDMR spectrum. The influence of the adjustment variables (ie the direction and value of the applied alternating magnetic field) on the spectrum of the electron spin resonance was determined. The measurement of a spectrum is understood to mean the determination of a measurement variable as a function of a variable, wherein the variable is varied in preferably equal steps. According to certain embodiments, however, only certain points in the spectrum are measured. Therefore, it is not necessarily required to completely determine the spectrum.

根据其他实施形式,自旋共振效应也可以是核自旋共振效应。According to other embodiments, the spin resonance effect can also be a nuclear spin resonance effect.

根据本方法的优选的改进方案,样品是金刚石,其中缺陷是NV中心。取向方向对应于金刚石晶格中的NV中心的四个可能的定向中的至少一个定向。取向方向指的是从氮原子N和空位V的布局中得出的那个轴线。According to a preferred development of the method, the sample is diamond in which the defects are NV centers. The orientation direction corresponds to at least one of four possible orientations of NV centers in the diamond lattice. The orientation direction refers to that axis derived from the arrangement of nitrogen atoms N and vacancies V.

根据本方法的优选的改进方案,垂直于取向方向中的一个取向方向来设定(eingestellt)交变磁场的磁场方向。所测量的自旋共振效应的共振频率被测定,并且被分配给该取向方向。在使用分配给该取向方向的共振频率的情况下,确定磁场方向。According to a preferred development of the method, the magnetic field direction of the alternating magnetic field is set perpendicularly to one of the orientation directions. The resonance frequency of the measured spin resonance effect is determined and assigned to the orientation direction. The magnetic field direction is determined using the resonant frequency assigned to this orientation direction.

根据本方法的优选的改进方案,相继地针对所有取向方向,执行交变磁场的设定和共振频率的测定。在使用金刚石样品的情况下,因此针对四个取向方向重复这些测量。According to a preferred development of the method, the setting of the alternating magnetic field and the determination of the resonance frequency are carried out successively for all orientation directions. In the case of using diamond samples, these measurements were therefore repeated for the four orientation directions.

根据本方法的优选的改进方案,在使用交变磁场的情况下,在校准步骤中测定样品的取向方向。因此,不要求最初知晓样品的取向方向。According to a preferred development of the method, the orientation direction of the sample is determined in a calibration step using an alternating magnetic field. Therefore, initial knowledge of the orientation direction of the sample is not required.

根据本方法的优选的实施形式,校准步骤包括多个单个步骤。这样,样品被引入到外部测试磁场中,该外部测试磁场具有已知的磁场强度和磁场方向。交变磁场的磁场方向相对于外部测试磁场的磁场方向变化,并且测定自旋共振效应的最大值。在使用交变磁场的出现自旋共振效应的最大值的那些磁场方向的情况下,测定样品的取向方向。According to a preferred embodiment of the method, the calibration step comprises a plurality of individual steps. In this way, the sample is introduced into an external test magnetic field of known magnetic field strength and magnetic field direction. The field direction of the alternating magnetic field is changed relative to the field direction of the external test magnetic field, and the maximum value of the spin resonance effect is determined. The orientation direction of the sample is determined using those magnetic field directions of the alternating magnetic field in which the maximum value of the spin resonance effect occurs.

根据本方法的改进方案,与如下磁场方向正交地测定样品的取向方向之一:在所述磁场方向的情况下,出现自旋共振效应的最大值。According to a development of the method, one of the orientation directions of the sample is determined orthogonally to the magnetic field direction at which the maximum value of the spin resonance effect occurs.

根据本设备的优选的改进方案,磁场装置构造为,使所发出的交变磁场的磁场方向变化。According to a preferred development of the device, the magnetic field arrangement is designed to vary the field direction of the emitted alternating magnetic field.

附图说明Description of drawings

附图:Attached picture:

图1示出了根据本发明的实施形式的用于测量外部磁场的磁场方向的设备的示意性框图;Fig. 1 shows a schematic block diagram of a device for measuring the magnetic field direction of an external magnetic field according to an embodiment of the present invention;

图2示出了具有NV中心的金刚石晶格的示意性图解;Figure 2 shows a schematic illustration of a diamond lattice with NV centers;

图3示出了NV中心的基态和激发的能级的图解;Figure 3 shows a diagram of the ground state and excited energy levels of an NV center;

图4示出了在NV中心的取向方向、外部磁场和交变磁场之间的角度的图解;Figure 4 shows a diagram of the angle between the orientation direction of the NV center, the external magnetic field and the alternating magnetic field;

图5示出了本设备的磁场装置和样品的示意性横截面视图;Figure 5 shows a schematic cross-sectional view of the magnetic field arrangement and sample of the present device;

图6示出了本设备的磁场装置和样品的示意性斜视图;Fig. 6 shows the schematic oblique view of the magnetic field device and the sample of the device;

图7针对具有不同的磁场强度的外部磁场示出了单个NV中心的光探测磁共振;Figure 7 shows photodetection magnetic resonance of a single NV center for external magnetic fields with different magnetic field strengths;

图8示出了NV中心的系综(Ensemble)的光探测磁共振;Figure 8 shows photodetection magnetic resonance of an ensemble (Ensemble) of NV centers;

图9示出了交变磁场相对于NV中心的四个取向轴线的可能的角度位置的图解;Figure 9 shows a diagram of possible angular positions of the alternating magnetic field relative to the four orientation axes of the NV center;

图10示出了与在图9中所图解说明的角度位置相关的跃迁概率;和Figure 10 shows the transition probabilities associated with the angular positions illustrated in Figure 9; and

图11示出了根据本发明的实施形式的用于测量外部磁场的磁场方向的方法的流程图。FIG. 11 shows a flow chart of a method for measuring the magnetic field direction of an external magnetic field according to an embodiment of the invention.

在所有附图中,相同的或功能相同的元件和设备配备有同一附图标记。In all figures, identical or functionally identical elements and devices are provided with the same reference signs.

具体实施方式Detailed ways

图1示出了用于测量外部磁场的设备1的示意性框图。Fig. 1 shows a schematic block diagram of a device 1 for measuring an external magnetic field.

设备1具有样品2,其中所述样品2优选地是具有固定地预先规定的晶体结构的固体。样品2具有缺陷,所述缺陷预先规定相对应的取向方向。在最简单的情况下,可以涉及单个缺陷,比方说在金刚石样品2中的单个NV中心。然而,为了获得较强的信号,优选地涉及这样的缺陷的系综。尤其是,可以涉及具有多个NV中心的金刚石样品2。视晶格中的取向而定,NV中心可以具有四个不同的取向方向。The device 1 has a sample 2, wherein the sample 2 is preferably a solid with a fixedly predetermined crystal structure. Sample 2 has defects which predetermine a corresponding orientation direction. In the simplest case, a single defect may be involved, say a single NV center in diamond sample 2 . However, in order to obtain a stronger signal, an ensemble of such defects is preferably involved. In particular, diamond samples 2 with multiple NV centers may be involved. Depending on the orientation in the crystal lattice, NV centers can have four different orientation directions.

样品2引入到设备1的磁场装置3中,或者可引入到所述磁场装置3中。磁场装置3构造为,产生共振的交变磁场,所述交变磁场可以激发样品的电子或者核子的自旋。激发的强度与交变磁场相对于样品2的取向方向的定向有关。该定向要么可以一开始已经是已知的,要么可以通过下面进一步描述的校准步骤来测定。激发的强度进一步与如下外部磁场的磁场强度和磁场方向有关:所述外部磁场要借助设备1来调查。The sample 2 is introduced into the magnetic field arrangement 3 of the apparatus 1 or can be introduced into said magnetic field arrangement 3 . The magnetic field device 3 is designed to generate a resonant alternating magnetic field which can excite the spins of the electrons or nuclei of the sample. The intensity of the excitation is related to the orientation of the alternating magnetic field relative to the orientation direction of the sample 2 . This orientation can either already be known initially or can be determined by a calibration step described further below. The intensity of the excitation is further dependent on the field strength and the field direction of the external magnetic field which is to be investigated by means of the device 1 .

(电子或者核子的)自旋的激发导致自旋共振效应,所述自旋共振效应由设备1的测量装置4来检测。测量装置4输出测量信号,所述测量信号由设备1的评估装置5来评估。Excitation of spins (of electrons or nuclei) leads to spin resonance effects, which are detected by measuring device 4 of device 1 . The measuring device 4 outputs a measuring signal, which is evaluated by the evaluating device 5 of the device 1 .

评估装置5构造为,在使用测量信号的情况下,以及在考虑交变磁场的磁场方向相对于样品的取向方向的定向的情况下,确定外部磁场的磁场方向。The evaluation device 5 is designed to determine the field direction of the external magnetic field using the measurement signal and taking into account the orientation of the field direction of the alternating magnetic field relative to the orientation direction of the sample.

设备1的示例性的构建方案依据下列图更详细地予以阐述。An exemplary construction of the device 1 is explained in more detail with reference to the following figures.

这样,样品2优选地是具有NV中心的金刚石样品。如在图2中所示出的那样,在这种情况下涉及氮原子N和空位V,所述氮原子N和空位V在金刚石的晶格中出现。由于金刚石的晶体结构,NV中心可以指向四个不同的方向,所述四个不同方向因此预先规定了样品2的突出的取向方向。Thus, sample 2 is preferably a diamond sample with NV centers. As shown in FIG. 2 , nitrogen atoms N and vacancies V are involved in this case, which occur in the crystal lattice of diamond. Due to the crystal structure of diamond, the NV centers can point in four different directions, which thus predetermine the orientation direction of the protrusions of sample 2 .

在图3中绘出了NV中心的电子的能级。基态3A形成自旋三重态,其中在不存在外部磁场的情况下,在m_s=0状态与m_s=+/-1状态之间的零场分裂(ZFS,zero fieldsplitting)具有为2.87GHz的值。如果样品2被引入到外部磁场中,这两个m_s=+/-1状态由于塞曼效应而分裂。In FIG. 3 the energy levels of the electrons of the NV centers are plotted. The ground state 3 A forms a spin triplet state in which the zero field splitting (ZFS) between the m_s=0 state and the m_s=+/-1 state has a value of 2.87 GHz in the absence of an external magnetic field . If sample 2 is introduced into an external magnetic field, the two m_s=+/−1 states split due to the Zeeman effect.

NV中心进一步具有受激的三重态状态3E,该受激的三重态状态3E具有相对应的量子数m_s=0、+/-1。最后,存在亚稳单重态状态1A。The NV center further has an excited triplet state 3 E with corresponding quantum numbers m_s= 0 , +/−1. Finally, there exists the metastable singlet state 1A .

磁场装置3在微波范围中的交变磁场产生NV中心的电子自旋的状态改变,并且因此导致电子自旋共振ESR。然而,本发明并不限于具有NV中心的金刚石。例如,具有SiV中心的SiC样品也是合适的。也可设想的是,利用具有不是极小的核自旋的核子的核自旋共振。The alternating magnetic field of the magnetic field device 3 in the microwave range produces a state change of the electron spins of the NV centers and thus leads to electron spin resonance ESR. However, the invention is not limited to diamonds with NV centers. For example, SiC samples with SiV centers are also suitable. It is also conceivable to use the nuclear spin resonance of nucleons with a nuclear spin that is not extremely small.

为了测量外部磁场,设备1运动进入该外部磁场中。优选地,在第一步骤中执行初始化。这样,电子一开始以基本上相同的概率处于基态3A的m_s=0、+/-1状态中。通过利用绿光激发,自旋被激发到受激态3E的相对应的自旋态中。最后,电子经由亚稳态1A达到m_s=0基态。在初始化之后,因此基本上所有电子都处于m_s=0基态中。In order to measure an external magnetic field, the device 1 is moved into this external magnetic field. Preferably, initialization is performed in a first step. Thus, electrons are initially in the m_s=0, +/−1 state of the ground state 3 A with substantially the same probability. By exciting with green light, the spins are excited into the corresponding spin states of the excited state 3E . Finally, the electrons reach the m_s=0 ground state via the metastable state 1 A. After initialization, essentially all electrons are therefore in the m_s=0 ground state.

在第二步骤中,执行对样品2的操纵。为此,通过磁场装置3施加交变磁场。交变磁场的波长或频率基本上对应于从基态3A的m_s=0状态到m_s=+/-1状态中的激发。In a second step, manipulation of the sample 2 is carried out. To this end, an alternating magnetic field is applied via the magnetic field device 3 . The wavelength or frequency of the alternating magnetic field corresponds essentially to the excitation from the m_s=0 state of the ground state 3 A into the m_s=+/−1 state.

在第三步骤中,借助测量装置4来检测自旋共振效应,并且通过评估装置5来评估自旋共振效应,所述评估装置5确定外部磁场的磁场方向。在这种情况下,外部磁场的磁场方向与在磁矩(就是说NV中心的优选方向或者取向方向)与静态的或者准静态的外部磁场之间的第一角度θ有关。这样,在磁矩μ(所述磁矩μ沿着取向方向之一指向)与外部磁场B之间的磁相互作用H_mag通过这两个矢量参量构成的乘积给出:In a third step, the spin resonance effect is detected by means of the measuring device 4 and evaluated by the evaluation device 5 , which determines the field direction of the external magnetic field. In this case, the magnetic field direction of the external magnetic field is related to a first angle θ between the magnetic moment (that is to say the preferred direction or orientation direction of the NV center) and the static or quasi-static external magnetic field. Thus, the magnetic interaction H_mag between the magnetic moment μ (which points along one of the orientation directions) and the external magnetic field B is given by the product of these two vector quantities:

H_mag=-μ·B=-|μ|·|B|·cos(θ)。H_mag=-μ·B=-|μ|·|B|·cos(θ).

在NV中心的情况下,该表达式对于塞曼分裂内容是:In the case of NV centers, the expression for Zeeman splitting is:

H_mag=γ·|B|·cos(θ),H_mag=γ·|B|·cos(θ),

其中γ对应于NV中心的陀螺比例,γ≈28.024GHz/T。如果交变磁场的所放射的频率f对应于附加的塞曼分裂:where γ corresponds to the gyroscopic scale of the NV center, γ≈28.024GHz/T. If the emitted frequency f of the alternating magnetic field corresponds to an additional Zeeman splitting:

omega=2πf=(D±γ·|B|·cos(θ)) (1),omega=2πf=(D±γ·|B|·cos(θ)) (1),

则发生磁共振。此处,D=2.87GHz对应于上面谈及的零场分裂(ZFS,参见图3)。magnetic resonance occurs. Here, D=2.87GHz corresponds to the above-mentioned zero-field splitting (ZFS, see FIG. 3 ).

进一步地,磁场方向与在交变磁场与取向方向之间的第二角度θ_RF有关。这样,交变磁场的耦合强度B_RF通过章动频率ω_nut给出。这与第二角度θ_RF有关:Further, the direction of the magnetic field is related to the second angle θ_RF between the alternating magnetic field and the orientation direction. The coupling strength B_RF of the alternating magnetic field is thus given by the nutation frequency ω_nut. This is related to the second angle θ_RF:

ωnut=|1/2·BRF sinθRF| (2)ω nut =|1/2·B RF sinθ RF | (2)

式子(2)适用于自旋1/2系统。自旋1系统的章动频率ω_nut大了为根号2=1.41的因子。Equation (2) is suitable for spin 1/2 system. The nutation frequency ω_nut of the spin 1 system is larger by a factor of root 2=1.41.

在共振微波激发时,章动频率ω_nut确定在基态3A中的能级m_s=0、±1之间的置乱。由此直接确定:多大可能进行NV中心的辐射荧光,那就是说从状态3E,m_s=0驰豫到状态3A,ms=0中;或者是否通过非辐射弛豫减小荧光,就是说从状态3E,ms=+/-1经由暗态1A驰豫到基态3A,m_s=0中。相对应地,以光学方式探测到的荧光信号的幅值与交变磁场的磁场强度|B_RF|和磁场方向或第二角度θ_RF有关。During resonant microwave excitation, the nutation frequency ω_nut determines the perturbation between the energy levels m_s=0, ±1 in the ground state 3 A. From this it is straightforward to determine: how likely is the radiative fluorescence of the NV center to proceed, that is to say relaxation from state 3 E, m_s = 0 into state 3 A, ms = 0; or whether the fluorescence is reduced by non-radiative relaxation, that is to say From state 3 E, ms=+/−1 relaxes via dark state 1 A into ground state 3 A, m_s=0. Correspondingly, the amplitude of the optically detected fluorescent signal is related to the magnetic field strength |B_RF| of the alternating magnetic field and the magnetic field direction or the second angle θ_RF.

交变磁场对基态中的置乱的影响可以通过相对应的传播子来计算。在共振激发时,该传播子对于交变磁场脉冲内容是:The effect of the alternating magnetic field on the scrambling in the ground state can be calculated by the corresponding propagators. When resonantly excited, the propagator for the alternating magnetic field pulse content is:

Figure GDA0004071171340000051
Figure GDA0004071171340000051

角度φ_p对应于所放射的交变磁场的相位。τ_p是如下持续时间:在所述持续时间期间,放射该交变磁场。R_i(φ)是如下高频脉冲的传播子:所述高频脉冲的传播子将二能阶系统围绕轴线i=x、y、z转动了角度φ。The angle φ_p corresponds to the phase of the radiated alternating magnetic field. τ_p is the duration during which the alternating magnetic field is emitted. R_i(φ) is the propagator of the high-frequency pulse that rotates the two-level system around the axis i=x, y, z by an angle φ.

光探测磁共振的幅值因此与第二角度θ_RF有关。在图4中图解说明了第一角度θ和第二角度θ_RF。The magnitude of the photodetection magnetic resonance is thus related to the second angle θ_RF. The first angle θ and the second angle θ_RF are illustrated in FIG. 4 .

样品2固定地布置在磁场装置3中。图5示出了对样品2和磁场装置3的示意性横截面视图,并且图6示出了对样品2和磁场装置3的示意性斜视图。这样,磁场装置3优选地具有三个彼此垂直的导体线圈或波导31、32、33。导体线圈或波导中的每个都承担了在样品2之内沿着一个空间方向产生交变磁场的任务。由此并且与导体线圈或波导组合地,可以产生任意方向的交变磁场(AC-Vektormagnet(AC矢量磁体))。由此,磁场装置3构造为,产生在任意方向上取向的交变磁场。然而根据其他实施形式,磁场装置3也可以具有仅两个彼此垂直的导体线圈,并且由此可以产生在一个平面之内可变化的交变磁场。The sample 2 is fixedly arranged in the magnetic field arrangement 3 . FIG. 5 shows a schematic cross-sectional view of the sample 2 and the magnetic field arrangement 3 , and FIG. 6 shows a schematic oblique view of the sample 2 and the magnetic field arrangement 3 . Thus, the magnetic field arrangement 3 preferably has three mutually perpendicular conductor coils or waveguides 31 , 32 , 33 . Each of the conductor coils or waveguides takes over the task of generating an alternating magnetic field within the sample 2 along a spatial direction. In this way and in combination with conductor coils or waveguides, an alternating magnetic field in any direction can be generated (AC-Vektormagnet (AC vector magnet)). The magnetic field device 3 is thus designed to generate an alternating magnetic field oriented in any direction. According to other embodiments, however, the magnetic field arrangement 3 can also have only two conductor coils perpendicular to one another and can thus generate an alternating magnetic field that is variable within a plane.

电子自旋共振可以经由荧光特性的改变来证明,就是说通过光探测磁共振ODMR来证明。这样,ODMR谱给出了关于要测量的场的幅值的说明。Electron spin resonance can be demonstrated via a change in fluorescence properties, that is to say by optical detection magnetic resonance ODMR. In this way, the ODMR spectrum gives an indication of the magnitude of the field to be measured.

在图7中,针对具有不同的磁场强度的外部磁场B,图解说明了针对唯一的NV中心的作为交变磁场的频率f的函数的ODMR谱。在不存在外部磁场的情况下(B=0,参见图7),如果交变磁场的频率对应于零场分裂,则m_s=+/-1状态退化,就是说仅出现唯一的共振。在施加磁场的情况下,出现两个共振频率ω_1和ω_2,这两个共振频率针对外部磁场的较大的磁场强度进一步彼此远离。在共振频率的情况下,ODMR谱的幅值A分别具有最小值或凹部(Dip),因为通过共振的交变磁场激发的状态经由亚稳态1A衰变并且因此在荧光谱中引起降低的幅值。因此,如果交变磁场的频率对应于基态3A的磁跃迁,例如对应于从m_s=0向m_s=1的跃迁,那么幅值正好减小。ODMR的作用原理在于,来自基态m_s=+/-1的光激发拥有非辐射地衰变到暗态1A中的高可能性,由此这些光激发在较长的时间内不可供荧光过程使用。由此,在利用交变磁场进行共振激发的情况下,荧光强度减小。In FIG. 7 , the ODMR spectrum as a function of the frequency f of the alternating magnetic field is illustrated for a unique NV center for an external magnetic field B with different magnetic field strengths. In the absence of an external magnetic field (B=0, see FIG. 7 ), the m_s=+/−1 state degenerates, ie only a single resonance occurs, if the frequency of the alternating magnetic field corresponds to zero field splitting. When a magnetic field is applied, two resonance frequencies ω_1 and ω_2 occur, which are further away from each other for greater magnetic field strengths of the external magnetic field. At the resonance frequency, the amplitude A of the ODMR spectrum has a minimum or a dip, respectively, because the state excited by the resonant alternating magnetic field decays via the metastable state 1 A and thus causes a reduced amplitude in the fluorescence spectrum value. Thus, if the frequency of the alternating magnetic field corresponds to a magnetic transition of the ground state 3 A, for example to a transition from m_s=0 to m_s=1, the amplitude decreases exactly. The principle of action of ODMR is that photoexcitations from the ground state m_s=+/−1 have a high probability of non-radiative decay into the dark state 1 A, so that these photoexcitations are not available for the fluorescence process for a longer period of time. Accordingly, in the case of resonant excitation using an alternating magnetic field, the fluorescence intensity decreases.

在图8中,图解说明了针对NV中心的系综的ODMR谱。NV中心的四个取向方向导致四对各有两个的凹部D1-D1至D4-D4连带相对应的共振频率对。凹部D1-D1至D4-D4的深度(就是说ODMR谱中的幅值A)与在交变磁场和相应的取向方向之间的第二角度θ_RF有关。In Figure 8, the ODMR spectrum for an ensemble of NV centers is illustrated. The four orientation directions of the NV centers result in four pairs of two dimples D1-D1 to D4-D4 each with corresponding pairs of resonant frequencies. The depth of the depressions D1 - D1 to D4 - D4 , that is to say the amplitude A in the ODMR spectrum, depends on the second angle θ_RF between the alternating magnetic field and the corresponding orientation direction.

在图9中图解说明了四个可能的取向方向A1至A4,其中第一取向方向A1沿着z轴走向。交变磁场示例性地具有相对于x轴的第三角度φ_RF,并且处于x-y平面之内。Four possible orientation directions A1 to A4 are illustrated in FIG. 9 , the first orientation direction A1 running along the z-axis. The alternating magnetic field illustratively has a third angle φ_RF with respect to the x-axis and lies within the x-y plane.

在图10中,图解说明了作为第三角度φ_RF的函数的跃迁概率P的相对应的相关性。跃迁概率P与ODMR谱中的共振幅值成比例。由于交变磁场垂直于第一取向方向A1走向,所以第一跃迁概率B1具有恒定的走向。章动频率对于z方向而言是最大的,因为交变磁场在x-y平面中振荡。与第三角度φ_RF无关地,л脉冲在该情况下将使占用概率逆转。第二到第四跃迁概率B2至B4分别具有彼此偏移的最小值C2至C4、就是说与第三角度φ_RF的特征性相关性。In FIG. 10 the corresponding dependence of the transition probability P as a function of the third angle φ_RF is illustrated. The transition probability P is proportional to the resonance amplitude in the ODMR spectrum. Since the alternating magnetic field runs perpendicular to the first orientation direction A1 , the first transition probability B1 has a constant course. The nutation frequency is maximal for the z direction because the alternating magnetic field oscillates in the x-y plane. Independently of the third angle φ_RF, the л pulse will in this case reverse the occupancy probability. The second to fourth transition probabilities B2 to B4 each have mutually offset minimum values C2 to C4 , that is to say a characteristic dependence on the third angle φ_RF.

优选地,因而选择由磁场装置3施加的垂直于取向方向A1至A4之一的交变磁场,并且紧接着,磁场方向在该平面之内变化。通过测定最小值C2至C4,可以确定第三角度φ_RF,并且由此确定在ODMR谱中的取向方向A2至A4。由此,凹部对D1-D1至D4-D4或相对应的共振频率可以被分配给相应的取向方向。Preferably, an alternating magnetic field applied by the magnetic field device 3 perpendicular to one of the orientation directions A1 to A4 is thus selected, and subsequently the direction of the magnetic field changes within this plane. By determining the minima C2 to C4 the third angle φ_RF and thus the orientation directions A2 to A4 in the ODMR spectrum can be determined. Thereby, the pairs of recesses D1-D1 to D4-D4 or the corresponding resonance frequencies can be assigned to the respective orientation directions.

原则上可能的是,通过在唯一的第三角度φ_RF的情况下进行测量,测定取向方向。在该情况下,交变磁场的磁场不一定必须是可变的。然而由于针对固定的第三角度φ_RF经常只能困难地区分不同的跃迁概率B1至B4,所以第三角度φ_RF的变化是有利的。In principle, it is possible to determine the orientation direction by measuring at a single third angle φ_RF. In this case, the magnetic field of the alternating magnetic field does not necessarily have to be variable. However, since the different transition probabilities B1 to B4 can often only be distinguished with difficulty for a fixed third angle φ_RF, a variation of the third angle φ_RF is advantageous.

一般而言,为此,二维RF磁体已经适合作为磁场装置3。然而优选地,磁场装置3的交变磁场在所有三个空间方向上都是可设定的。由此,可以提高方向确定的精度。优选地,因此针对所有取向方向A1至A4,相继地执行本方法。In general, two-dimensional RF magnets are already suitable as magnetic field means 3 for this purpose. Preferably, however, the alternating magnetic field of the magnetic field arrangement 3 is settable in all three spatial directions. Thereby, the accuracy of direction determination can be improved. Preferably, the method is therefore carried out successively for all orientation directions A1 to A4.

如果交变磁场与四个可能的取向方向中的一个取向方向正交地定向,则共振线具有与另外三个共振线相比更强的与交变磁场的相关性。共振因此展现出在谱中的最大信号幅值。就是说,在ODMR谱中的相对应的凹部是极值的(最小值)。由此,可以给出现的共振线分配绝对方向。根据等式(1),评估装置5可以测定磁场的数值和方向。除了磁场强度之外,因此也可以确切地确定外部磁场的磁场方向。If the alternating magnetic field is oriented orthogonally to one of the four possible orientation directions, the resonance line has a stronger dependence on the alternating magnetic field than the other three resonance lines. The resonance thus exhibits the largest signal amplitude in the spectrum. This means that the corresponding depressions in the ODMR spectrum are extremal (minimum). As a result, absolute directions can be assigned to occurring resonance lines. According to equation (1), the evaluation device 5 can determine the magnitude and direction of the magnetic field. In addition to the magnetic field strength, the field direction of the external magnetic field can thus also be determined exactly.

因此,由于交变磁场的矢量控制、就是说交变磁场的磁场方向的可设定性,本发明能够实现将ODMR谱中的峰值分配给绝对的空间轴线。The invention thus makes it possible to assign peaks in the ODMR spectrum to absolute spatial axes due to the vector control of the alternating magnetic field, that is to say the settable nature of the magnetic field direction of the alternating magnetic field.

根据一实施形式,已经已知了交变磁场的磁场方向相对于样品2的取向方向的定向。例如,由于样品2的制造方法,已经可以已知样品2的取向方向的位置。样品2以固定的取向与磁场装置3连接,或被插入到该磁场装置3中。依据流经导体线圈31、32、33的电流,评估装置5此外还可以始终计算由磁场装置3施加的交变场的精确的磁场方向。依据这些信息,评估装置5因此可以计算交变磁场的磁场方向相对于样品2的取向方向的定向。According to one embodiment, the orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample 2 is already known. For example, due to the manufacturing method of sample 2, the position of the orientation direction of sample 2 is already known. The sample 2 is connected with a fixed orientation to the magnetic field device 3 or is inserted into the magnetic field device 3 . Depending on the currents flowing through conductor coils 31 , 32 , 33 , evaluation device 5 can also always calculate the exact magnetic field direction of the alternating field applied by magnetic field device 3 . From this information, the evaluation device 5 can therefore calculate the orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample 2 .

然而根据其他实施形式,可以在开头执行的校准步骤中确定该定向。在该设备1初次投入运行之前或者在每次测量外部磁场之前,可以执行该校准步骤。According to other embodiments, however, this orientation can be determined in an initially performed calibration step. This calibration step can be carried out before the device 1 is put into operation for the first time or before each measurement of an external magnetic field.

因此,样品首先被引入到外部测试磁场中,所述外部测试磁场具有已知的磁场强度和磁场方向。该测试磁场的磁场强度例如可以为1mT。由此防止了,电子自旋共振的如下四对D1-D1至D4-D4退化:这四对D1-D1至D4-D4对应于在金刚石中的NV中心的四个可能的定向。Thus, the sample is first introduced into an external test magnetic field with a known field strength and field direction. The magnetic field strength of the test magnetic field may be 1 mT, for example. This prevents the four pairs D1-D1 to D4-D4 of the electron spin resonance from degenerating: these four pairs D1-D1 to D4-D4 correspond to the four possible orientations of the NV centers in the diamond.

现在,交变磁场的磁场方向相对于外部测试磁场的磁场方向变化。例如,第二角度θ_RF和第三角度Φ_RF可以以为10°的步长变化。借助测量装置4,产生ODMR谱。所记录的ODMR谱在共振的幅值方面被分析。尤其是,测定如下这些角度对(θ_RF,Φ_RF):对于所述角度对,ODMR谱中的幅值取最大值。这例如可以通过拟合计算(Ausgleichsrechnung)进行。这样测定的角度对撑开如下平面:所述平面与相对应的晶体方向或取向方向正交。针对所有四个取向方向,可以执行本方法。由此,所有相关的角度是已知的,并且标识出在金刚石点阵中的NF中心的四个可能的取向方向。Now, the field direction of the alternating magnetic field changes with respect to the field direction of the external test magnetic field. For example, the second angle θ_RF and the third angle Φ_RF may vary in steps of 10°. With the aid of the measuring device 4 , an ODMR spectrum is generated. The recorded ODMR spectra were analyzed in terms of the amplitude of the resonances. In particular, those angle pairs (θ_RF, Φ_RF) for which the amplitude in the ODMR spectrum takes a maximum are determined. This can be done, for example, by a fitting calculation. The angle pairs determined in this way span planes which are perpendicular to the corresponding crystallographic direction or orientation direction. The method can be performed for all four orientation directions. From this, all relevant angles are known, and four possible orientation directions of the NF centers in the diamond lattice are identified.

因此,评估装置5可以确定样品2的四个可能的取向方向。由此可能的是,在测量运行中,与取向方向正交地选择交变磁场。Thus, the evaluation device 5 can determine four possible orientation directions of the sample 2 . This makes it possible to select the alternating magnetic field orthogonally to the orientation direction during the measurement operation.

在图11中,图解说明了用于测量外部磁场的磁场方向的方法的流程图,该方法尤其是可以利用上面所描述的设备1来执行。可选地,首先可以执行对该设备1的刚才所描述的校准。In FIG. 11 , a flow chart of a method for measuring the field direction of an external magnetic field is illustrated, which method may be carried out in particular with the device 1 described above. Optionally, the just described calibration of the device 1 can first be carried out.

在方法步骤S1中,现在样品2被引入到外部磁场中,其中样品2具有缺陷和相对应的取向方向。In method step S1 , sample 2 is now introduced into an external magnetic field, sample 2 having defects and corresponding orientation directions.

在方法步骤S2中,产生交变磁场,其中磁场方向可预先规定地并且优选地可变地是可设定的。磁场方向优选地可以至少在一个平面中变化。优选地,磁场方向在所有三个空间维度中是可设定的。In method step S2 , an alternating magnetic field is generated, wherein the direction of the magnetic field is predeterminable and preferably variably settable. The direction of the magnetic field can preferably vary at least in one plane. Preferably, the magnetic field direction is settable in all three spatial dimensions.

在方法步骤S3中,测量自旋共振效应,所述自旋共振效应由样品2与交变磁场的相互作用造成。尤其是,为此可以检测ODMR谱。In method step S3 , spin resonance effects are measured which are caused by the interaction of the sample 2 with the alternating magnetic field. In particular, ODMR spectra can be detected for this purpose.

在方法步骤S4中,根据所测量的自旋共振效应,测定外部磁场的磁场方向。为此,考虑交变磁场的磁场方向相对于样品2的取向方向的定向。精确的计算可以包括上面所阐述的步骤。In method step S4 , the magnetic field direction of the external magnetic field is determined on the basis of the measured spin resonance effect. For this, the orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample 2 is taken into account. A precise calculation may include the steps set forth above.

Claims (10)

1. A method for measuring a magnetic field direction of an external magnetic field, having the steps of:
introducing (S1) a sample (2) into the external magnetic field, wherein the sample (2) has a defect which predefines a corresponding orientation direction of the sample (2);
generating (S2) an alternating magnetic field in the region of the sample (2), the alternating magnetic field having a predefined or predefinable magnetic field direction;
measuring (S3) a spin resonance effect due to the interaction of the sample (2) with the alternating magnetic field; and
determining (S4) the magnetic field direction of the external magnetic field using the measured spin resonance effect and using an orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample (2).
2. The method of claim 1, wherein measuring spin resonance effects comprises measuring optical detection magnetic resonance and/or electrical detection magnetic resonance.
3. Method according to claim 1 or 2, wherein the sample (2) is diamond, wherein the defect is a NV centre, and wherein the orientation direction corresponds to at least one of four possible orientations of NV centres in a diamond lattice.
4. Method according to claim 1 or 2, wherein the magnetic field direction of the alternating magnetic field is set perpendicular to one of the orientation directions and the resonance frequency of the measured spin resonance effect is determined and assigned to the orientation direction, and wherein the magnetic field direction is determined using the resonance frequency assigned to the orientation direction.
5. The method according to claim 4, wherein the setting of the alternating magnetic field and the determination of the resonance frequency are performed successively for all orientation directions.
6. Method according to claim 1 or 2, wherein the orientation direction of the sample (2) is determined in a calibration step by means of the alternating magnetic field.
7. The method of claim 6, wherein the calibrating step comprises the steps of:
introducing the sample (2) into an external test magnetic field having a known magnetic field strength and magnetic field direction;
changing the magnetic field direction of the alternating magnetic field relative to the magnetic field direction of the external test magnetic field and determining a maximum value of the spin resonance effect; and
determining the orientation direction of the sample (2) using those magnetic field directions of the alternating magnetic field in which a maximum of the spin resonance effect occurs.
8. Method according to claim 7, wherein one of the orientation directions of the sample (2) is determined orthogonally to the following magnetic field directions: in the case of the magnetic field direction, a maximum of the spin resonance effect occurs.
9. A device (1) for measuring a magnetic field direction of an external magnetic field, having:
a sample (2), which sample (2) can be introduced into the external magnetic field, wherein the sample (2) has a defect, which specifies a corresponding orientation direction in advance;
a magnetic field device (3), wherein the magnetic field device (3) is designed to generate an alternating magnetic field in the region of the sample (2), wherein the alternating magnetic field has a predefined or predefinable magnetic field direction;
a measuring device (4), the measuring device (4) being configured to measure a spin resonance effect due to an interaction of the sample (2) with the alternating magnetic field; and
an evaluation device (5), the evaluation device (5) being configured to determine the magnetic field direction of the external magnetic field using the measured spin resonance effect and using an orientation of the magnetic field direction of the alternating magnetic field relative to the orientation direction of the sample (2).
10. Device (1) according to claim 9, wherein the magnetic field means (3) are configured to vary the magnetic field direction of the emitted alternating magnetic field.
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