Summary of the invention
The purpose of the invention is to provide a kind of distance measurement system of interference fringe using vectorial field and its answer
With, have measurement accuracy high, and structure is simple, it is easy for installation, it is cheap, it is applied widely the features such as.
The present invention is achieved through the following technical solutions: a kind of distance measurement system based on vectorial field, including vector
Light source, reflective mirror, double lens, double slit, convex lens, photodetector and signal processing system;Double slit is arranged in initial point
It sets, by photodetector setting in tested point position, the vector light source emits vector light to reflective mirror, and vector light is through reflective mirror
After reflection, after double lens adjusts optical path width, the light beam that radius is ε is formed, double slit is then injected, interference is generated, through convex lens
After mirror focuses, photodetector is injected, photodetector measures the light intensity I of any point P in interference pattern, and is input at signal
Reason system, signal processing system obtain initial point to the distance between tested point d=π bx/ (λ δ) by calculating, wherein and δ=
arccos[(I-2)/(2(cos2mθB))], m is topological charge number, and b is slit spacing, and x is water of the P point to interference pattern central point
Flat distance, θB=arccos (b/ (2 ε)), λ are vector optical wavelength.
Further, the double slit template is micro-structure double slit.
Further, the photodetector is planar array detector or linear array detector, can also be pixilated detectors.
A kind of application of distance measurement system in straight-line displacement sensing, the application be, by the photodetector and to
Object connection is surveyed, the double slit is arranged on the extended line of object under test linear motion, the light measured according to photodetector
The real-time displacement of object under test described in information acquisition.
The beneficial effects of the present invention are: it is high that the system has measurement accuracy, and structure is simple, and easy for installation, price is low
Honest and clean, applied widely feature.
Specific embodiment
As shown in figure 3, a kind of distance measurement system based on vectorial field, including vector light source 1, reflective mirror 2, double lens
3, double slit 4, convex lens 5, photodetector 6 and signal processing system 7;Double slit 4 is arranged in initial point position, by photodetection
The setting of device 6 emits vector light to reflective mirror 2 in tested point position, the vector light source 1, and vector light is after the reflection of reflective mirror 2, warp
After double lens 3 adjusts optical path width, the light beam that radius is ε is formed, double slit 4 is then injected, generate interference, planoconvex lens 5 focus
Afterwards, photodetector 6 is injected, the generation of interference fringe is realized by the following method:
The distribution of light intensity formula of known any mixed polarization states vectorial field are as follows:
Wherein r=(x2+y2)1/2, as through double lens 3 adjust optical path width after beam radius, r=ε, θ=arctan
(y/x), m is topological charge number, θ0For the initial phase of vector light, l/r0Change speed parameter for the polarization state of vector light radially.
exAnd eyUnit vector respectively on the direction x and the direction y, A0Amplitude is indicated, in next reckoning, it is believed that A is located at
Any point is steady state value on beam cross section.R indicates that on the x/y plane where slit, origin is to examining in cartesian coordinate system
Examine distance a little.θ is the azimuth of the polar coordinate system where beam cross-section.As shown in Figure 1, there are AB two on x/y plane
Slit, the distance between slit is b, while the distance of AB slit to origin is identical, and is parallel to each other, slit vertical with x-axis
Width is a.After monochromatic mixed polarization states vectorial field represented by by formula passes through two slits, it can be equivalent to two times
Grade linear light source, is finally overlapped on the plane of vision being parallel to after x/y plane.We take d be slit to plane of vision away from
From.Assuming that the width of slit is sufficiently small and infinite in length, furthermore the scale of slit spacing b be sewn to plane of vision distance d phase
It is more sufficiently small than also.
It decomposes vectorial field and carries out theoretical calculation:
Mixed polarization states vectorial field is decomposed into two component polarization light of x Yu the direction y, it is independent opposite to each other.Expression
Formula is write respectively
Ex(θ)=cos [+2 π l (r/r of m θ0)+θ0]
Ey(θ)=sin [+2 π l (r/r of m θ0)+θ0]
When light beam reaches AB slit, light beam can regard as shown in Figure 1, it can be seen from the figure that only lucky position
Light in slit position can just pass through slit.Slit AB is symmetrical about y-axis, therefore is located at y-coordinate value on two slits
The azimuth of origin corresponding to identical two points is respectively θ A and θ B.We can be found that θ A and θ B supplementary angle relationship, i.e. θ each other
A=π-θ B.When the x of decomposition and the polarized light field in the direction y pass through AB slit, expression formula be can be written as:
The light intensity expression Ix of the direction x polarization state component and the direction y polarization state component after interference can be write out respectively
With Iy.We enable first
Then the light intensity expression of Ix and Iy, which can simplify, is written as:
Wherein δ is to pass through the phase difference between two slit beam of AB.In Tomas Young's tow-slit experiment, as shown in figure 3-2,
If the initial phase of incident light source is φ 0 (t), it is the amount being randomly generated, and receives respectively at inspecting position P and comes from (QAP)
It is written as respectively with the phase of (QBP) two optical disturbances:
Then phase difference is
Total interference strength formula is
I (x, y)=Ix(x,y)+Iy(x, y)=2+2cos (2m θB)cosδ
The π bx/ of δ=2 (λ d)
Wherein d is distance of the plane where double slit to plane where photoelectric sensor, that is, measured required for us
Distance.
That is d=2 π bx/ (λ δ).
Below by the reliability of following experimental verification the method for the invention:
Test distance 5cm, 20cm, 1m are set, according to arrangement vector light source 1 shown in Fig. 3, reflective mirror 2, double
Lens 3, double slit 4, convex lens 5, photodetector 6 and signal processing system 7;Double slit 4 is arranged in initial point position, by photoelectricity
The setting of detector 6 emits vector light to reflective mirror 2 in tested point position, the vector light source 1, and vector light is reflected through reflective mirror 2
Afterwards, after double lens 3 adjusts optical path width, the light beam that radius is ε is formed, double slit 4 is then injected, generates interference, planoconvex lens 5
After focusing, photodetector 6 is injected, photodetector 6 measures the light intensity I of any point P in interference pattern, and is input at signal
Reason system 7, signal processing system 7 obtain initial point to the distance between tested point d=2 π bx/ (λ δ) by calculating, wherein δ
=arccos [(I-2)/(2 (cos2m θB))];
M is topological charge number, and b is slit spacing, and x is horizontal distance of the P point to interference pattern central point, θB=arccos
(b/ (2 ε)), λ are vector optical wavelength.
The result output of three measurement distances is as shown in the table:
| Set distance |
5cm |
20cm |
1m |
| Measurement result |
5.002cm |
19.998cm |
100.003cm |
The present invention also provides application of the above-mentioned distance measurement system in straight-line displacement sensing, which is, by the light
Electric explorer 7 is connect with object under test, the double slit 4 is arranged on the extended line of object under test linear motion, according to photoelectricity
The optical information that detector 7 measures obtains the real-time displacement of the object under test.