TW201905438A - Heterodyne interferometric configuration for measuring dynamic phase change wherein calculations of the phase delay and the optical axis angle are independent to each other - Google Patents
Heterodyne interferometric configuration for measuring dynamic phase change wherein calculations of the phase delay and the optical axis angle are independent to each otherInfo
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Abstract
Description
本發明係涉及一種可量測動態相位變化之外差干涉架構,係一套外差式干涉架構,以量測動態雙折射參數,藉由快速取樣,與電腦計算干涉訊號的即時振幅與相位,得以記錄待測雙折射材料的相位延遲Φ與光軸角度β的動態變化,且相位延遲的量測範圍可達[0,4π],光軸角度量測範圍為[0,π]。 The invention relates to a measurable dynamic phase change heterodyne interference architecture, which is a set of heterodyne interference architecture for measuring dynamic birefringence parameters, and by means of fast sampling, calculating the instantaneous amplitude and phase of the interference signal with a computer, The dynamic change of the phase delay Φ and the optical axis angle β of the birefringent material to be tested can be recorded, and the measurement range of the phase delay can reach [0, 4π], and the optical axis angle measurement range is [0, π].
雙折射現象是各向異性材料(Anisotropic material)所展現的一種特徵,這種特徵顯示偏振光波穿透這類材料時,偏振光波分為兩條路徑,這兩道路徑的光波偏振態互為垂直,且所經歷的材質折射率不同;這種現象乃因各向異性材料的分子結構具有特殊的對稱性,使得材料本身存在兩個互為垂直的軸向,一個稱為非常軸(Extraordinary axis),其折射率為ne,另一軸向稱為尋常軸(Ordinary axis),其折射率為no;當ne<no時,這類材質稱為負雙折射材料,反之當ne>no時,稱為正雙折射材料。 Birefringence is a feature exhibited by an anisotropic material. This feature shows that when a polarized light wave penetrates such a material, the polarized light wave is split into two paths, and the polarization states of the two paths are perpendicular to each other. And the refractive index of the material experienced is different; this phenomenon is due to the special symmetry of the molecular structure of the anisotropic material, so that the material itself has two mutually perpendicular axes, one called the extraordinary axis (Extraordina r y Axis, whose refractive index is n e , the other axis is called the Ordinary axis, and its refractive index is n o ; when n e <n o , this kind of material is called negative birefringent material, and vice versa. When n e >n o , it is called a positive birefringent material.
雙折射材料如石英,其耐高溫、耐腐蝕特性,已廣泛應用於半導體、光學、通訊、化工等工業領域;又如方解石,是冶金、水泥、塑料、玻璃、陶瓷、橡膠、造紙、合成纖維等多種工業的重要原料;而液晶也是一種雙折射材料,由於其雙折射特性可以透過外加電場施以操控,已廣泛應用於各種顯示器與光波調控裝置中。此外,生物材質如肌纖維、神 經組織等,亦顯示某種程度的雙折射現象;而原本不具有雙折射現象的各向同性材料(Isotropic material),在應力、或電磁場影響下,晶體分子排列些微的改變,亦會產生微弱的雙折射現象。 Birefringent materials such as quartz, which are resistant to high temperature and corrosion, have been widely used in semiconductor, optical, communication, chemical and other industrial fields; for example, calcite, metallurgy, cement, plastic, glass, ceramics, rubber, paper, synthetic fiber The liquid crystal is also a birefringent material. Because its birefringence property can be manipulated by an applied electric field, it has been widely used in various display and light wave control devices. In addition, biological materials such as muscle fibers, nerve tissue, etc., also show some degree of birefringence; while the isotropic material, which does not have birefringence, has a slight arrangement of crystal molecules under the influence of stress or electromagnetic field. The change will also produce a weak birefringence phenomenon.
由於雙折射材料光軸的物理特性,從光學角度定義兩個雙折射參數,一為光波偏振態與兩軸向平行且垂直兩軸向傳遞時產生的相位延遲Φ,
對於非破壞性探測,相位延遲Φ與光軸角度β將導致穿透光波、或由此類材料反射的光波,其偏振態有所改變,而定量分析光波偏振態的改變量,藉以計算Φ與β,可以深入瞭解雙折射材料的物理特性,或定量校準此類材料所製成之元件,如光學波片(Wave plate)、液晶面板;而探測分析生物材質反射光波的雙折射參數,亦可了解其生理或病理機制,以便作為用藥或治療的參考;而藉由偏振光波探測如玻璃、朔膠、矽晶片等工業產品微弱的雙折射參數分佈,得以分析產品的應力分佈,判斷產品的良窳、使用壽命等。因此,利用偏振光波非破壞性探測雙折射材料,並分析穿透光波的偏振態的改變量,是一項很重要技術領域。 For non-destructive detection, the phase delay Φ and the optical axis angle β will cause the light wave that penetrates the light wave or is reflected by such material to change its polarization state, and quantitatively analyze the change amount of the polarization state of the light wave, thereby calculating Φ and β, can deeply understand the physical properties of birefringent materials, or quantitatively calibrate components made of such materials, such as optical wave plates (Wave plates), liquid crystal panels; and detect and analyze the birefringence parameters of reflected light waves of biological materials, Understand the physiological or pathological mechanism for reference as a medication or treatment; and by measuring the weak birefringence parameter distribution of industrial products such as glass, tantalum, and tantalum wafers by polarized light waves, the stress distribution of the product can be analyzed to judge the product.窳, service life, etc. Therefore, it is an important technical field to use a polarized light wave to non-destructively detect a birefringent material and analyze the amount of change in the polarization state of the transmitted light wave.
近20年來,利用偏振光探測分析雙折射元件或材料、或探測分析應力分佈,有眾多的研究成果及專利,如US 3177761A、US 3434786A、US 5644562A、US 6157448A、US 20030090673A1、US 72122891B1、WO 2004003652A1、US 6697157 B2、WO 2004036260A3、US 6947140 B2、US 6940595B1、US 8264675B1、CN 102998283A、WO 2016025278A3,但是這些架構與技術特徵只能量測[0,2π]的相位延遲Φ,而且部分架構,對於雙折射元件的光軸角度β有限制,或是必須在β已知條件下,方能完整量測相位延遲Φ,此外部份光學架構必須在量測過程中,調整某些光學元件的方位角,以致於無法達到即時量測雙折射參數的要求。 In the past 20 years, the use of polarized light detection to analyze birefringent elements or materials, or to detect analytical stress distribution, there are numerous research results and patents, such as US 3177761A, US 3434786A, US 5644562A, US 6157448A, US 20030090673A1, US 72122891B1, WO 2004003652A1 , US 6697157 B2, WO 2004036260A3, US 6947140 B2, US 6940595B1, US 8264675B1, CN 102998283A, WO 2016025278A3, but these architectures and technical features can only measure the phase delay Φ of [0, 2π], and part of the architecture, for the double The optical axis angle β of the refractive element is limited, or the phase delay Φ must be completely measured under the condition of β, and some optical structures must adjust the azimuth of some optical components during the measurement process. As a result, the requirement for real-time measurement of birefringence parameters cannot be achieved.
本發明的目地是提供一種可量測[0,4π]動態相位變化之外差干涉架構,以量測動態雙折射參數,量測過程中,光學元件不需做任何的調整,也不需考慮待測雙折射材料的光軸角度,藉由快速取樣,與電腦計算干涉訊號的即時振幅與相位(例如用傅立葉轉換、或最大相似等技巧),得以記錄待測雙折射材料的相位延遲Φ與光軸角度β的動態變化,且相位延遲Φ的量測範圍可達[0,4π],光軸角度β量測範圍為[0,π]。 The object of the present invention is to provide a non-difference interference structure capable of measuring [0, 4π] dynamic phase change to measure dynamic birefringence parameters, and the optical component does not need to be adjusted during the measurement process, and does not need to be considered. The optical axis angle of the birefringent material to be tested, by means of rapid sampling, and the computer calculates the instantaneous amplitude and phase of the interfering signal (for example, using Fourier transform, or maximum similarity), the phase delay Φ of the birefringent material to be tested is recorded. The dynamic change of the optical axis angle β, and the measurement range of the phase delay Φ can reach [0, 4π], and the measurement range of the optical axis angle β is [0, π].
為達到前述目的,本發明可量測動態相位變化之外差干涉架構包括:線偏振同調單頻雷射光的一入射光波,該入射光波的線偏振方向,調整為與水平X軸夾α度,且透過一入射分光裝置將光波分為兩個方向,穿透該入射分光裝置的為一訊號光波,由該入射分光裝置反射的為一參考光波;該訊號光波經過頻率略微調整後,經導引後依序穿透一第一偏振態轉換元件、一待測雙折射元件及一第二偏振態轉換元件,且該第一偏振態轉換元件與第二偏振態轉換元件光軸互為垂直;該參考光波經過另頻率略微調整後,經導引後穿透一線偏振元件,將入射的參考光波轉為線偏振光波,且線偏振角與X軸夾45度;前述訊號光波與前述參考光波在一分光裝置重 疊,該分光裝置以同軸傳遞方式,將混合光波導引至一偏振分光裝置,該偏振分光裝置允許水平偏振光波穿透但將垂直偏振光波反射,穿透該偏振分光裝置的水平偏振光波入射至一第一感測裝置,而由該偏振分光裝置反射之垂直偏振光波入射至一第二感測裝置,經訊號處裡後,即可計算該待測雙折射元件的雙折射參數相位延遲Φ與光軸角度β的計算。 To achieve the foregoing objective, the present invention can measure a dynamic phase change heterodyne interference architecture comprising: an incident light wave of linear polarization coherent single-frequency laser light, the linear polarization direction of the incident light wave being adjusted to be α degrees with the horizontal X-axis, And splitting the light wave into two directions through an incident spectroscopic device, wherein the incident light splitting device is a signal light wave, and the incident light splitting device reflects a reference light wave; the signal light wave is slightly adjusted after the frequency is guided And sequentially passing through a first polarization conversion component, a to-be-measured birefringence component, and a second polarization conversion component, and the optical axes of the first polarization conversion component and the second polarization conversion component are perpendicular to each other; After the reference light wave is slightly adjusted by another frequency, it is guided to penetrate a linear polarizing element, and the incident reference light wave is converted into a linearly polarized light wave, and the linear polarization angle is 45 degrees with the X-axis; the signal light wave and the reference light wave are in one The beam splitting device overlaps, and the beam splitting device guides the mixed light wave to a polarization beam splitting device in a coaxial transmission manner, the polarizing beam splitting device allows horizontally polarized light waves to penetrate but The vertically polarized light wave reflects, the horizontally polarized light wave that penetrates the polarization beam splitting device is incident on a first sensing device, and the vertically polarized light wave reflected by the polarizing beam splitting device is incident on a second sensing device, after being in the signal, The calculation of the birefringence parameter phase delay Φ and the optical axis angle β of the birefringent element to be tested can be calculated.
其中,該入射光波線度偏振角度α在0度或90度時,穿透該偏振分光裝置的水平偏振光波的干涉訊號振幅,及垂直偏振光波之干涉訊號振幅,分別與|sin(Φ/2)|或|cos(Φ/2)|呈等比例。 Wherein, the incident light wave linear polarization angle α is 0 or 90 degrees, the interference signal amplitude of the horizontally polarized light wave penetrating the polarization beam splitting device, and the interference signal amplitude of the vertically polarized light wave, respectively, and |sin(Φ/2 )| or |cos(Φ/2)| is proportional.
實施上,當該入射光波選擇雙頻同調雷射,其偏振態互為垂直,透過一入射分光裝置將光波分為兩個方向後的訊號光波參考光波將不需要略微調整頻率的裝置,架構上省去調整頻率的裝置。可將該入射分光裝置改為具有與該偏振分光裝置相同功能之裝置,且不需要該第一頻率調整裝置及第二頻率調整裝置,只需預先校正穿透該入射分光裝置後之訊號光波的線偏振角為0度或90度,其餘光學架購及訊號處理方式,完全與前述相同。 In practice, when the incident light wave selects a dual-frequency coherent laser, and the polarization states thereof are perpendicular to each other, the signal light wave reference light wave after splitting the light wave into two directions through an incident beam splitting device does not need a device for slightly adjusting the frequency, and is structurally The device for adjusting the frequency is omitted. The incident beam splitting device can be changed to a device having the same function as the polarizing beam splitting device, and the first frequency adjusting device and the second frequency adjusting device are not required, and only the signal light wave after passing through the incident beam splitting device is corrected in advance. The linear polarization angle is 0 degree or 90 degree, and the rest of the optical frame purchase and signal processing methods are completely the same as the foregoing.
本案主要技術特徵在於利用外差式干涉架構設計,透過訊號光波依序穿透該第一偏振態轉換元件、待測雙折射元件及一第二偏振態轉換元件的核心架構,該偏振態轉換元件透過相位延遲作用,調整光波的偏振態成為圓偏振,且前後二個偏振態轉換元件的光軸互為垂直,將產生水平線偏振電場的干涉訊號,及垂直線偏振電場的干涉訊號,這兩組干涉訊號的振幅,分別與cos(Φ/2)及sin(Φ/2)成等比例,而這兩組干涉訊號的相位差,等於2倍的光軸角度β,因此相位延遲Φ與光軸角度β的計算,互為獨立。 The main technical feature of the present invention is that the heterodyne interference architecture is designed to sequentially penetrate the core structure of the first polarization state conversion element, the to-be-tested birefringence element and the second polarization state conversion element through the signal light wave, and the polarization state conversion element Through the phase delay effect, the polarization state of the light wave is adjusted to become circular polarization, and the optical axes of the two polarization conversion elements are perpendicular to each other, and an interference signal of a horizontal linear polarization electric field and an interference signal of a vertical linear polarization electric field are generated, and the two groups The amplitude of the interference signal is equal to cos(Φ/2) and sin(Φ/2), respectively, and the phase difference between the two sets of interference signals is equal to 2 times the optical axis angle β, so the phase delay Φ and the optical axis The calculation of the angle β is independent of each other.
其次,當Φ值使得cos(Φ/2)或sin(Φ/2)為負時,由於訊號振幅無法顯示此負值,而會以π值相位跳躍出現於該訊號的相位值,因此可以由相位的π值跳躍,是由0到π、或由π到0,得以判斷對應之cos(Φ/2)及sin(Φ/2)變化是否小於零,而這個判斷可以藉由程式的計算獲得。將干涉訊號的振幅變化,依據前述原理做反纏擾(Unwrapping)後,產生正負值,然後計算兩振幅之比值,即可求得Φ值的動態變化。由於相位相減,共模相位雜訊得以消除,而振幅的共模雜訊,如光源功率的微弱變動,亦得以消除。本架構量測之動態變化上限,只受限於光學系統的調變頻率大小,以及取樣速度的快慢。 Secondly, when the Φ value is such that cos(Φ/2) or sin(Φ/2) is negative, since the signal amplitude cannot display the negative value, the phase value of the signal appears in the π value phase jump, so The π value jump of the phase is from 0 to π, or from π to 0, to determine whether the corresponding changes in cos(Φ/2) and sin(Φ/2) are less than zero, and this judgment can be obtained by calculation of the program. . The amplitude of the interference signal is changed, and after the unwrapping according to the foregoing principle, a positive and negative value is generated, and then the ratio of the two amplitudes is calculated, and the dynamic change of the Φ value can be obtained. Common-mode phase noise is eliminated due to phase subtraction, and amplitude common mode noise, such as weak variations in source power, is eliminated. The upper limit of the dynamic change of the measurement of this architecture is limited only by the modulation frequency of the optical system and the speed of the sampling speed.
100‧‧‧入射光波 100‧‧‧ incident light waves
110‧‧‧訊號光波 110‧‧‧ Signal Lightwave
120‧‧‧參考光波 120‧‧‧Reference light waves
200‧‧‧入射分光裝置 200‧‧‧ incident spectroscopic device
300‧‧‧第一頻率調整裝置 300‧‧‧First frequency adjustment device
310‧‧‧第一導引裝置 310‧‧‧First guiding device
320‧‧‧第一偏振態轉換元件 320‧‧‧First polarization conversion element
330‧‧‧待測雙折射元件 330‧‧‧Birefringent components to be tested
340‧‧‧第二偏振態轉換元件 340‧‧‧Second polarization conversion element
400‧‧‧第二頻率調整裝置 400‧‧‧second frequency adjustment device
410‧‧‧第二導引裝置 410‧‧‧Second guiding device
420‧‧‧線偏振元件 420‧‧‧linear polarizing elements
500‧‧‧分光裝置 500‧‧‧Splitting device
510‧‧‧偏振分光裝置 510‧‧‧Polarization beam splitter
610‧‧‧第一感測裝置 610‧‧‧First sensing device
620‧‧‧第二感測裝置 620‧‧‧Second sensing device
圖1為本案之光學干涉架構示意圖一。 Figure 1 is a schematic diagram 1 of the optical interference architecture of the present invention.
圖2為本案之待測雙折射元件架構示意圖。 FIG. 2 is a schematic diagram of the structure of the birefringent component to be tested in the present case.
圖3為本案之光學干涉架構示意圖二。 Figure 3 is a schematic diagram 2 of the optical interference architecture of the present invention.
圖4為本案之橢圓偏極化示意圖。 Figure 4 is a schematic diagram of the elliptical polarization of the present case.
圖5為本案液晶相位調變器的雙折射參數結果。 Figure 5 is the result of the birefringence parameter of the liquid crystal phase modulator of the present invention.
茲有關本發明之詳細內容及技術說明,現以實施例作進一步說明,但應瞭解的是,該等實施例僅為例示說明之用,而不應被解釋為本發明實施之限制。 The detailed description of the present invention and the technical description of the present invention are further illustrated by the embodiments, but it should be understood that these embodiments are for illustrative purposes only and are not to be construed as limiting.
本發明為一馬赫-曾德爾干涉儀(Mach-Zehnder Interferometer)的外差式干涉架構設計,將產生水平線偏 振電場的干涉訊號,及垂直線偏振電場的干涉訊號,這兩組干涉訊號的振幅,分別與cos(Φ/2)及sin(Φ/2)成等比例,而這兩組干涉訊號的相位差,等於2倍的光軸角度β,因此相位延遲Φ與光軸角度β的計算,互為獨立。其次,當Φ值使得cos(Φ/2)或sin(Φ/2)為負時,由於訊號振幅無法顯示此負值,而會以π值相位跳躍出現於該訊號的相位值,因此可以由相位的π值跳躍,是由0到π、或由π到0,得以判斷對應之cos(Φ/2)及sin(Φ/2)變化是否小於零,而這個判斷可以藉由程式的計算獲得。將干涉訊號的振幅變化,依據前述原理做反纏擾(Unwrapping)後,產生正負值,然後計算兩振幅之比值,即可求得Φ值的動態變化。由於相位相減,共模相位雜訊得以消除,而振幅的共模雜訊,如光源功率的微弱變動,亦得以消除。 The invention is designed as a heterodyne interference architecture of a Mach-Zehnder Interferometer, which will generate an interference signal of a horizontally linearly polarized electric field and an interference signal of a vertical linearly polarized electric field, the amplitudes of the two sets of interference signals, Is equal to cos(Φ/2) and sin(Φ/2), respectively, and the phase difference between the two sets of interference signals is equal to 2 times the optical axis angle β, so the calculation of the phase delay Φ and the optical axis angle β, Independent of each other. Secondly, when the Φ value is such that cos(Φ/2) or sin(Φ/2) is negative, since the signal amplitude cannot display the negative value, the phase value of the signal appears in the π value phase jump, so The π value jump of the phase is from 0 to π, or from π to 0, to determine whether the corresponding changes in cos(Φ/2) and sin(Φ/2) are less than zero, and this judgment can be obtained by calculation of the program. . The amplitude of the interference signal is changed, and after the unwrapping according to the foregoing principle, a positive and negative value is generated, and then the ratio of the two amplitudes is calculated, and the dynamic change of the Φ value can be obtained. Common-mode phase noise is eliminated due to phase subtraction, and amplitude common mode noise, such as weak variations in source power, is eliminated.
請參閱圖1及圖3,當一入射光波100為一線偏振同調單頻雷射光,且入射光波100的線偏振方向,調整為與水平X軸夾α度(X軸與紙面平行,如圖3所示),該入射光波100進入一個與光波偏振態無關的一入射分光裝置200,該入射分光裝置200將光波分為兩個方向,穿透該入射分光裝置200與原本入射光波100同一行進方向的光波,稱為訊號光波110,而由該入射分光裝置200反射之光波,稱為參考光波120。 Referring to FIG. 1 and FIG. 3, when an incident light wave 100 is a linear polarization coherent single-frequency laser light, and the linear polarization direction of the incident light wave 100 is adjusted to be α degrees with the horizontal X-axis (the X-axis is parallel to the paper surface, as shown in FIG. 3 As shown, the incident light wave 100 enters an incident beam splitting device 200 that is independent of the polarization state of the light wave. The incident beam splitting device 200 splits the light wave into two directions, and penetrates the incident beam splitting device 200 to the same traveling direction as the original incident light wave 100. The light wave is referred to as a signal light wave 110, and the light wave reflected by the incident beam splitting device 200 is referred to as a reference light wave 120.
該訊號光波110穿過一第一頻率調整裝置300後,光波頻率被該第一頻率調整裝置300略微調整為ω1,待穿透該第一頻率調整裝置300後,訊號光波110經由一第一導引裝置310導引依序穿透一第一偏振態轉換元件320、一待測雙折射元件330及一第二偏振態轉換元件340。該第一偏振態轉換元件320藉由相位延遲作用,調整該訊號光波110的偏振態成為圓偏振;該第一偏振態轉換元件320與第二偏振態轉換元件340具有相同功 能,在特定光軸角度下,可作光波線偏振態與圓偏振態之間的轉換,但在本發明架構中的第二偏振態轉換元件340,其光軸與第一偏振態轉換元件320的光軸互為垂直。而該待測雙折射元件330可以是一待測之光學相位調變器。 After the signal light wave 110 passes through a first frequency adjusting device 300, the light wave frequency is slightly adjusted to ω 1 by the first frequency adjusting device 300. After the first frequency adjusting device 300 is penetrated, the signal light wave 110 passes through a first The guiding device 310 guides through a first polarization conversion component 320, a birefringent component 330 to be tested, and a second polarization conversion component 340. The first polarization state conversion element 320 adjusts the polarization state of the signal light wave 110 to circular polarization by a phase delay function; the first polarization state conversion element 320 and the second polarization state conversion element 340 have the same function, in a specific optical axis. The angle between the polarization state of the optical wave and the circular polarization state can be made, but the optical axis of the second polarization state conversion element 340 in the architecture of the present invention is perpendicular to the optical axis of the first polarization state conversion element 320. . The birefringent component 330 to be tested may be an optical phase modulator to be tested.
該訊號光波穿該第二偏振態轉換元件340後,與參考光波120在一分光裝置500重疊。另,參考光波120先穿過一第二頻率調整裝置400後,將參考光波120的頻率略微調整為ω2,參考光波120再經由一第二導引裝置410導引至一線偏振元件420,該線偏振元件420可將任何偏振態光波轉換為線偏振光波,此處的線偏振元件420將入射的參考光波120轉為線偏振光波,其線偏振角與X軸夾45度。 After the signal light wave passes through the second polarization state conversion element 340, it overlaps with the reference light wave 120 in a light splitting device 500. In addition, after the reference light wave 120 passes through a second frequency adjusting device 400, the frequency of the reference light wave 120 is slightly adjusted to ω 2 , and the reference light wave 120 is further guided to the linear polarizing element 420 via a second guiding device 410. The linearly polarizing element 420 can convert any polarization light wave into a linearly polarized light wave, where the linear polarization element 420 converts the incident reference light wave 120 into a linearly polarized light wave having a linear polarization angle that is 45 degrees from the X-axis.
該分光裝置500的功能同該入射分光裝置200,將光波分為兩道,且其分光與光波偏振態無關,當訊號光波110與參考光波120在該分光裝置500重疊後,該分光裝置500以同軸傳遞方式,將混合光波導引至一偏振分光裝置510,該偏振分光裝置510允許水平偏振光波穿透但將垂直偏振光波反射,如圖1所示,穿透該偏振分光裝置510的水平偏振光波入射至一第一感測裝置610,而由該偏振分光裝置510反射之垂直偏振光波入射至一第二感測裝置620,透過感測裝置內轉阻放大器(Tramsimpedance Amplifier,TIA)的放大功能,先將前述水平偏振光波和垂直偏振光波的功率轉換為光電流,再將光電流以電壓方式作為輸出。此二輸出電壓訊號經訊號處裡後,即可計算該待測雙折射元件330的雙折射參數Φ與β。 The function of the spectroscopic device 500 is the same as that of the incident spectroscopic device 200, and the optical wave is divided into two paths, and the splitting is independent of the polarization state of the optical wave. After the signal light wave 110 and the reference light wave 120 overlap the light splitting device 500, the light splitting device 500 In the coaxial transmission mode, the mixed light wave is guided to a polarization beam splitting device 510, which allows horizontally polarized light waves to penetrate but reflects vertically polarized light waves, as shown in FIG. 1, through the horizontal polarization of the polarization beam splitting device 510. The light wave is incident on a first sensing device 610, and the vertically polarized light wave reflected by the polarization beam splitting device 510 is incident on a second sensing device 620, and is amplified by a transimpedance amplifier (TIA) in the sensing device. First, the power of the horizontally polarized light wave and the vertically polarized light wave are first converted into a photocurrent, and the photocurrent is output as a voltage. After the two output voltage signals pass through the signal, the birefringence parameters Φ and β of the birefringent element 330 to be tested can be calculated.
請再參閱圖2,本發明在實施上,若入射光波100光源選擇雙頻同調雷射,此類光源不同頻率的光波其偏振態互為垂直,可將該入 射分光裝置200改為具有與該偏振分光裝置510相同功能之裝置,且不需要該第一頻率調整裝置300及第二頻率調整裝置400,如圖2所示;只需預先校正穿透該入射分光裝置200後之訊號光波110的線偏振角為0度或90度,其餘光學架購及訊號處理方式,完全與前述相同。 Referring to FIG. 2 again, in the implementation of the present invention, if the incident light wave 100 source selects a dual-frequency coherent laser, the light waves of different frequencies of the light source have their polarization states perpendicular to each other, and the incident beam splitting device 200 can be changed to have The device of the same function as the polarization splitting device 510 does not need the first frequency adjusting device 300 and the second frequency adjusting device 400, as shown in FIG. 2; only the signal light wave 110 after passing through the incident beam splitting device 200 is corrected in advance. The linear polarization angle is 0 degree or 90 degree, and the rest of the optical frame purchase and signal processing methods are completely the same as the foregoing.
接下來為本發明原理說明,請再參閱圖3,假設當訊號光波110(一線偏振單頻同調光波),入射於圖3中的光學元件架構,待測雙折射元件330以任意光軸角安置於兩片具有1/4波片功能之第一偏振態轉換元件320及第二偏振態轉換元件340之間,這種架構安排是本發明案的核心架構。入射之訊號光波110(線偏振光波)與水平X軸夾α角,如圖3左側所示,其前進方向為Z軸,且與第一偏振態轉換元件320及第二偏振態轉換元件340垂直,而第一偏振態轉換元件320及第二偏振態轉換元件340的光軸角互為垂直,分別為α+45度與α-45度,或是α-45度與α+45度;由於入射的訊號光波110為單頻同調光波,同時考慮第一偏振態轉換元件320及第二偏振態轉換元件340與待測雙折射元件330皆沒有去偏振化(Depolarization)效應,且光波功率衰減與偏振態無關,故採用瓊斯(Jones)矩陣描述這三個元件與光波偏振的變化。假設入射光波的瓊斯矩陣Jin可表示為
首先,考慮第一偏振態轉換元件320及第二偏振態轉換元件340的光軸角為α-45度與α+45度,當線偏振光波穿過第一片第一偏振態轉換元件320後,光波轉為圓偏振態,圓偏振態光波穿過待測雙折射元件330後形成橢圓偏振態,而穿過第二偏振態轉換元件340後的光波仍然是橢圓偏振,根據光波穿過元件的順序,輸出電場的瓊斯矩陣,可以由下式說明
另,當核心架構中的第一偏振態轉換元件320及第二偏振態轉換元件340的光軸角安排為α+45度與α-45度時,藉由相同的推導過程,可以得到
不論哪種安排,輸出合成電場尖端的軌跡,在X-Y平面 上,形成一個橢圓,以(9a)式為例如圖4所示,為橢圓偏極化示意圖,橢圓率角χ及橢圓方位角ψ,表示橢圓的狀態。根據C.Brosseau,Fundamentals of polarized light,statistical approach,John Wiley and Sins Inc.,1998.,代表橢圓狀態的橢圓率角度χ及橢圓方位角ψ,與Φ及β的關係為tan(2ψ)=tan(2Φ)cos(2β),sin(2χ)=sin(2Φ)cos(2β) (11) Regardless of the arrangement, the trajectory of the synthetic electric field tip is output, and an ellipse is formed on the XY plane, and the equation (9a) is, for example, as shown in FIG. 4, which is an elliptical polarization diagram, an ellipticity angle χ and an elliptical azimuth angle ψ, Indicates the state of the ellipse. According to C.Brosseau, Fundamentals of polarized light, statistical approach , John Wiley and Sins Inc., 1998., the ellipticity angle χ and the elliptical azimuth angle 代表 representing the elliptical state, and the relationship between Φ and β is tan(2ψ)=tan (2Φ)cos(2β), sin(2χ)=sin(2Φ)cos(2β) (11)
但根據(9a)式或(10a)式
或根據(9b)式或(10b)式
因此,當調整圖3核心架構之待測雙折射元件330的Φ或β時,輸出電場的偏振態亦隨之改變,在本干涉架構中,為保持兩干涉訊號的振幅比及相位差如(12)式,將核心架構的輸出電場與45度線偏振之參考光波120電場產生干涉,如圖1所示,該線偏振光波的頻率與穿過核心架構的光波頻率略有差異,因此產生外差干涉訊號,訊號頻率Ω等於兩光波頻率的差值,由於線偏振光波的線偏振角與水平X軸成45度,因此干涉時,可維持振幅比不受線偏振光波功率大小的影響。 Therefore, when the Φ or β of the birefringent component 330 to be tested in the core architecture of FIG. 3 is adjusted, the polarization state of the output electric field also changes. In the interference architecture, in order to maintain the amplitude ratio and phase difference of the two interfering signals, 12), the output electric field of the core structure interferes with the electric field of the reference light wave 120 of the 45-degree linear polarization, as shown in FIG. 1 , the frequency of the linearly polarized light wave is slightly different from the frequency of the light wave passing through the core structure, thus generating an external The differential interference signal, the signal frequency Ω is equal to the difference between the two optical wave frequencies. Since the linear polarization angle of the linearly polarized light wave is 45 degrees from the horizontal X-axis, the amplitude ratio can be maintained without being affected by the power of the linearly polarized light wave during the interference.
參考光波120電場EREF經過該線偏振元件420後,與訊號光波110重疊時的瓊斯矩陣EREF為
當sin(Φ/2)或cos(Φ/2)因Φ值改變而為負值時,因為V610與V620的振幅皆為正值,故無法顯示此負值的變化,不過干涉訊號的相位卻可忠實呈現,並以相位π的瞬間變化代表此負值的變化。若sin(Φ/2)或cos(Φ/2)由正變為負瞬間,對應的干涉訊號相位出現正π相位跳躍;反之,若sin(Φ/2)或cos(Φ/2)由負變為正瞬間,對應的干涉訊號相位出現負π相位跳躍。因此V610與V620的干涉訊號可表示為
本發明係一套外差式干涉架構,以量測動態雙折射參數,量測過程中,光學元件不需做任何的調整,也不需考慮待測雙折射元件330的光軸角度,藉由快速取樣,與電腦計算干涉訊號的即時振幅與相位(例如用傅立葉轉換、或最大相似等技巧),得以記錄待測雙折射材料的相位延遲Φ與光軸角度β的動態變化,且相位延遲Φ的量測範圍可達[0,4π],光軸角度β量測範圍為[0,π]。本架構量測之動態變化上限,只受限於光學系統的調變頻率大小,以及取樣速度的快慢。 The invention is a set of heterodyne interference architecture for measuring dynamic birefringence parameters. During the measurement process, the optical component does not need to be adjusted, and the optical axis angle of the birefringent component 330 to be tested is not considered. Quick sampling, and computer calculation of the instantaneous amplitude and phase of the interfering signal (for example, using Fourier transform, or maximum similarity), can record the dynamic change of the phase delay Φ and the optical axis angle β of the birefringent material to be tested, and the phase delay Φ The measurement range is up to [0, 4π], and the optical axis angle β is measured in the range [0, π]. The upper limit of the dynamic change of the measurement of this architecture is limited only by the modulation frequency of the optical system and the speed of the sampling speed.
為驗證上述原理說明,將一液晶相位調變器,安置於圖1的待測雙折射元件330位置,量測其雙折射參數隨著驅動電壓的增加而變化,結果如圖5所示。 In order to verify the above principle description, a liquid crystal phase modulator is placed at the position of the birefringent element 330 to be tested of FIG. 1, and the birefringence parameter is measured to change as the driving voltage increases. The result is shown in FIG. 5.
圖5(a)為兩干涉訊號相位量測的結果,可觀察到3處π相位跳躍,再根據這3處π相位跳躍,將對應的兩組干涉振幅做反纏繞,如(b)所示,其中實線為反纏繞後的干涉振幅(正負值),虛線表量測的干涉振幅(正值)。藉由計算反纏繞後的振幅比,得到相位延遲Φ隨驅動電壓變化的量測結果,如(c)所示,其相位由1伏特的383.85度,降到10伏特的-14.60度,變化範圍398.45度,其次消除3處相位跳躍,即可得到液晶相位調變器的光軸角度β,隨著驅動電壓的增加而改變的結果,如(d)所示。 Figure 5(a) shows the results of the phase measurement of the two interfering signals. Three π phase jumps can be observed, and the corresponding two sets of interference amplitudes are inversely entangled according to the three π phase jumps, as shown in (b). , where the solid line is the interference amplitude (positive and negative value) after the anti-winding, and the interference amplitude (positive value) measured by the broken line table. By calculating the amplitude ratio after the anti-winding, the measurement result of the phase delay Φ as a function of the driving voltage is obtained. As shown in (c), the phase is reduced from 383.85 degrees of 1 volt to -14.60 degrees of 10 volts, and the range of variation At 398.45 degrees, the three phase jumps are eliminated, and the optical axis angle β of the liquid crystal phase modulator is obtained, which is changed as the driving voltage increases, as shown in (d).
其中上述各光學裝置的功能說明如下: The functions of the above optical devices are as follows:
一、該入射分光裝置200與分光裝置500為分光功能裝置,學理上其分光功能與光波偏振態無關,分光後的訊號光波110之光功率與參考光波120功率比值,除了0及∞以外,可為任意值,只要入射分光裝置200的穿透率與反射率與分光裝置500相同,經過(22)式的計算,穿透率與其反射率可以抵消,學理上不影響本發明架構之功能與目標,若該入射分光裝置200與分光裝置500的穿透率及反射率不同,必須經過測試與校正,方能應用(23)兩式計算Φ值。 1. The incident spectroscopic device 200 and the spectroscopic device 500 are spectroscopic functional devices. Theoretically, the spectroscopic function is independent of the polarization state of the optical wave, and the ratio of the optical power of the split signal light wave 110 to the reference optical wave 120 power, except 0 and For any value, as long as the transmittance and reflectance of the incident beam splitting device 200 are the same as those of the spectroscopic device 500, the transmittance and the reflectance can be offset by the calculation of the formula (22), and the function and the target of the architecture of the present invention are not theoretically affected. If the incident spectroscopic device 200 and the spectroscopic device 500 have different transmittances and reflectances, they must be tested and corrected before the (23) two equations can be used to calculate the Φ value.
二、該第一偏振態轉換元件320及第二偏振態轉換元件340將線偏振態的入射光波110,轉變為圓偏振態光波,故該裝置可為傳統的1/4波片,或其他具相同功能之光學元件,但量測過程中第一偏振態轉換元件320與第二偏振態轉換元件340的光軸角已知且互為垂直。 2. The first polarization state conversion element 320 and the second polarization state conversion component 340 convert the incident light wave 110 of the linear polarization state into a circular polarization light wave, so the device can be a conventional quarter wave plate, or other Optical elements of the same function, but the optical axis angles of the first polarization state conversion element 320 and the second polarization state conversion element 340 are known and perpendicular to each other during measurement.
三、該第一頻率調整裝置300與第二頻率調整裝置400可以是聲光元件,藉由聲光效應改變光波的頻率,或其他具有相同頻率調整功能之材料所裝配之光學元件。 3. The first frequency adjusting device 300 and the second frequency adjusting device 400 may be an acousto-optic element, which changes the frequency of the light wave by the acousto-optic effect, or an optical component assembled by other materials having the same frequency adjusting function.
四、該第一導引裝置310與第二導引裝置410,具有改變光波行進方向之功能,學理上該功能與光波的偏振態及光功率無關,實施應用上該裝置可為傳統之光學平面反射鏡。 4. The first guiding device 310 and the second guiding device 410 have the function of changing the traveling direction of the light wave. The function is not related to the polarization state and the optical power of the light wave, and the device can be a traditional optical plane. Reflector.
五、該第一感測裝置610及第二感測裝置620,可為傳統意義的光感測器,不論直流耦合或交流偶合皆可,而其響應頻寬範圍須涵括外差頻率Ω。 5. The first sensing device 610 and the second sensing device 620 can be traditional light sensors, whether DC coupling or AC coupling, and the response bandwidth range must include the heterodyne frequency Ω.
以上所述者,僅為本發明之較佳實施例而已,當不能以此限定本發明實施之範圍,即大凡依本發明申請專利範圍及發明說明內容 所作之簡單的等效變化與修飾,皆仍屬本發明專利涵蓋之範圍內。 The above is only the preferred embodiment of the present invention, and the scope of the invention is not limited thereto, that is, the simple equivalent changes and modifications made by the scope of the invention and the description of the invention are all It is still within the scope of the invention patent.
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