CN101067546A - Method and apparatus for reducing heterodyne interference nonlinear error first harmonic component - Google Patents
Method and apparatus for reducing heterodyne interference nonlinear error first harmonic component Download PDFInfo
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- CN101067546A CN101067546A CN 200610010189 CN200610010189A CN101067546A CN 101067546 A CN101067546 A CN 101067546A CN 200610010189 CN200610010189 CN 200610010189 CN 200610010189 A CN200610010189 A CN 200610010189A CN 101067546 A CN101067546 A CN 101067546A
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Abstract
The invention relates to a method of reducing the heterodyne interference non-linear error first harmonic component and its equipment, the existing kinds of system and the method are all very complex. The invention includes: the light beams which contains two frequencies, two polarization directions and sends out by the double frequency laser; this light beam divides into two bunches of light after the spectroscope, the reflected light forms the reference signal after the analyzer by the photo detector receive; the transmitted light enters the polarization spectroscope to divide into two bunches of light which includes the reflected light of polarization direction vertical paper surface and parallel paper surface transmitted light, the reflected light reflects to the polarization spectroscope after the reference pyramid prism, the transmitted light after survey pyramid prism installed on the swivel table also reflects the polarization spectroscope; above two bunches of light converge in the polarization spectroscope place, and formed the survey signal by the reflector reflection after the analyzer by the photo detector; swivel table axial revolves the survey pyramid prism along the survey pyramid prism heading, swivel table anti-clockwise or clockwise axial revolves 97 degree. The invention uses to increase the heterodyne interference measuring accuracy.
Description
Technical field
The invention belongs to the Technology of Precision Measurement field, particularly a kind of method and apparatus that reduces heterodyne interference nonlinear error first harmonic component.
Background technology
Laser heterodyne interferometer because have that measuring speed is fast, measuring accuracy is high, antijamming capability is strong, advantage such as good reproducibility, traceability are strong, be widely used in ultraprecise detection and nano measurement.Development along with microelectronics, micromechanics and ultraprecise processing, requirement to the displacement measurement precision has reached nanometer scale, yet because the existence of laser heterodyne interferometer nonlinearity erron, seriously restricted the further raising of its measuring accuracy, the existing method that reduces and compensate the difference interference nonlinearity erron requires electronic system or light path system all very complicated, and it is most important to study a kind of method that simply, effectively reduces the laser heterodyne interference nonlinearity erron.
Accompanying drawing 1 is depicted as the synoptic diagram of the light path system (10) of heterodyne ineterferometer displacement measurement, and light path system (10) comprises polarization spectroscope (11), fixing reference angle cone prism (12) and the measured angular cone prism (13) that moves.Light beam (14) is for comprising by the two-frequency laser outgoing that two bundle direction of vibration are mutually vertical, frequency is respectively f
1And f
2Linearly polarized light.Light beam (14) enters polarization spectroscope (11), and wherein the frequency of vertical vibration is f
1Linearly polarized light all reflex to fixing reference angle cone prism (12) in the ideal case, and the frequency of parallel vibration is f
2The whole transmissions of linearly polarized light enter measured angular cone prism (13), frequency is f
1And f
2Light beam converge through reference angle cone prism (12) and measured angular cone prism (13) reflected back polarization spectroscope (11) respectively and form light beam (16), yet owing to the reason such as imperfect that has alignment error, optical element, the different light of two bundle frequencies that light beam (14) comprises can not separate fully, exist and leak light beam (15), when measured angular cone prism (13) when the AB direction moves, because Doppler effect, the frequency of the Returning beam (16) of polarization spectroscope (11) becomes f
2+ f
1± Δ f
d, frequency is f
1The phase place of the Doppler shift correspondence that produces of light beam, be the nonlinearity erron of laser heterodyne interferometer.
Heterodyne ineterferometer exists nonlinearity erron at first to be proposed by the Quenelle of hewlette-packard, and finds the every variation one-period of interference fringe, and the nonlinearity erron journey cycle changes, and promptly has the first harmonic nonlinearity erron; Find that simultaneously two cycles of the every variation of interference fringe exist littler nonlinearity erron, i.e. second harmonic nonlinearity erron.Heterodyne ineterferometer exists nonlinearity erron to carry out experimental verification by Sutton.Because the inevitable defective of optical system, cause laser heterodyne interference in measuring process, to have nonlinearity erron, nonlinearity erron is several nanometers in the laser interferometer of high-quality, and in general laser interferometer, it is common that nonlinearity erron reaches tens nanometers.At present, the nonlinearity erron of measuring and compensate heterodyne ineterferometer has a lot of methods, and for example a kind of quarter-phase detection method of Hou and Wilkening proposition can be eliminated the first harmonic nonlinearity erron; Badami and Patterson utilize the mobile system that comprises ratemeter and frequency spectrograph directly to measure the size of first harmonic and second harmonic nonlinearity erron and compensate; TaeBong Eom and TaeYoungChoi etc. carry out integration and carry out the method compensating non-linear error that ellipse fits with the phase signal of lock-in amplifier to reference signal and measuring-signal, above method can both be under the situation that does not have the external reference interferometer compensating non-linear error, but require electronic system or light path system all very complicated.
Summary of the invention:
In order to overcome the weak point of above-mentioned prior art, to satisfy the demand of laser heterodyne interference in nano measurement, the present invention proposes to be installed on the universal stage by plated film entity measuring prism of corner cube, making universal stage is the method for axis shaft to the wheel measuring prism of corner cube with measured angular cone prism direction of motion, reaches the purpose that reduces heterodyne interference nonlinear error first harmonic component.The present invention also provides a kind of device that reduces heterodyne interference nonlinear error first harmonic component based on said method.
Above-mentioned purpose realizes by following technical scheme:
Reduce the method for heterodyne interference nonlinear error first harmonic component, the method includes the steps of:
(1) sends the light beam that contains two kinds of frequencies, two kinds of polarization directions by two-frequency laser; (2) this light beam is divided into two-beam behind spectroscope, and wherein beam reflected is received by photodetector through analyzer, forms reference signal; (3) light beam of transmission enters polarization spectroscope, the light that this bundle comprises two kinds of frequencies, two kinds of polarization directions is polarized spectroscope and is divided into two-beam, wherein the polarization direction is reflected perpendicular to the light beam of paper and is called folded light beam, the light beam that the polarization direction is parallel to paper is claimed transmission to be called transmitted light beam, described folded light beam is through fixing reference angle cone prism reflected back polarization spectroscope, and described transmitted light beam is through being installed in the also reflected back polarization spectroscope of measured angular cone prism on the universal stage; More than two bundles converge at the polarization spectroscope place through reference angle cone prism and measured angular cone prism beam reflected, after mirror reflects, receive by photodetector through analyzer, form measuring-signal; Described universal stage is along the axial wheel measuring prism of corner cube of measured angular cone prism direction of motion, and described universal stage axially rotates 97 degree counterclockwise or clockwise.
The described device that reduces heterodyne interference nonlinear error first harmonic component, comprise two-frequency laser, spectroscope, polarization spectroscope, fixing reference angle cone prism, catoptron, analyzer, photodetector, this device also comprises universal stage, and is installed in the measured angular cone prism on the universal stage.
This technical scheme has following beneficial effect:
1. reference angle cone prism and measured angular cone prism all use plated film angle of stereopsis cone prism among the present invention, and the measured angular cone prism is installed on the universal stage, only need to adjust the axial anglec of rotation of measured angular cone prism along its direction of motion by universal stage, need not complicated Circuits System and light path system, can realize reducing laser heterodyne interference nonlinearity erron first harmonic component, can not introduce external electrical and measure non-linear and optical nonlinearity error, this is one of innovative point of difference prior art;
2. only needing to adjust the measured angular cone prism by universal stage is 97 degree along the axial anglec of rotation of its direction of motion, then regardless of the error source size that causes the nonlinearity erron first harmonic, the nonlinearity erron first harmonic all will be reduced to minimum in the laser heterodyne interference measuring process, do not have nonlinear error compensation time-delay, this be the difference prior art innovative point two;
3. compared with the prior art, method of the present invention is very simple, structure is also very simple, purchasing and keep in repair, measure cost can reduce significantly, and laser heterodyne interference nonlinearity erron first harmonic component is reduced to minimum in the measuring-signal that obtains by the present invention, be about 0.049 times of original first harmonic component, effectively reduced the measurement nonlinearity erron.
4. after adopting above-mentioned technology, measurement mechanism has following distinguishing feature:
1) uses the device that reduces the heterodyne interference nonlinear error first harmonic component method of the present invention, avoided the shortcoming of existing nonlinear error compensation method light path system and Circuits System complexity, system realizes simple, realizes the lifting significantly of system accuracy with extremely low cost;
2) before measuring, be about to the measured angular cone prism and adjust, in measuring process, do not exist and measure the nonlinear error compensation time-delay along the axial anglec of rotation of its direction of motion.
5. for the scientific foundation of the present invention is described, more corresponding for the technical progress effect that architectural feature of the present invention and its invention are brought, this part principle of the present invention, effect and advantage are documented in the corresponding contents of embodiment, no longer repeat at this.
Description of drawings:
Fig. 1 is the synoptic diagram of the light path system of heterodyne ineterferometer displacement measurement (among the figure: 10. the measured angular cone prism 14. laser emitting light beams 15. that move of heterodyne ineterferometer light path system 11. polarization spectroscopes 12. fixing reference angle cone prisms 13. leak light beams 16. Returning beams).
Fig. 2 is the front view of measured angular cone prism.
Fig. 3 is that the structural representation of apparatus of the present invention is (among the figure: 20. apparatus of the present invention system architectures, 21. two-frequency lasers, 22. spectroscopes, 23. polarization spectroscopes, 24. reference angle cone prisms, 25. measured angular cone prisms, 26. universal stages, 27. reflective mirrors, 28. analyzers, 29. photodetectors, 30. analyzers, 31. photodetectors).
Fig. 4 is that the measured angular cone prism axially rotates the simulation curve that the nonlinearity erron first harmonic is influenced along direction of motion.Fig. 5 is the light path synoptic diagram of apparatus of the present invention.
The specific embodiment of the present invention:
Embodiment 1:
Below in conjunction with accompanying drawing the method that reduces heterodyne interference nonlinear error first harmonic component that the present invention proposes is specifically addressed.
Entity (glass) prism of corner cube plating metal on surface film, establishing glass refraction is n
1, the complex index of refraction of metal is
Order
Then incide the reflectivity r of the light beam of prism of corner cube inside on the glass-metal surface
sAnd r
pBe respectively
Build coordinate system for 2 with reference to the accompanying drawings, in formula (1) and (2),
Because of prism of corner cube plating metal on surface film, so reflectivity r
sAnd r
pBe plural number.
The basal plane incident of laser beam vertical angle cone prism is established the incident beam electric field and is
A*a+b*b=1 wherein,
Be the vector of unit length of vertical incidence plane (basal plane),
It is the vector of unit length of parallel plane of incidence.Then the light beam of vertical angle cone prism incident according to the total reflection theory, and supposes that the reflectivity of all reflectings surface is identical after the reflection of three right angles of prism of corner cube face, and then the light wave electric field by the prism of corner cube basal reflection is
Wherein,
And have
The synoptic diagram (10) of the light path system of the displacement measurement of heterodyne ineterferometer shown in 1 with reference to the accompanying drawings, the light beam that incides entity measuring prism of corner cube (13) basal plane of metal-coated membrane is a linearly polarized light, the parallel plane of incidence of its direction of vibration, rectangular edge OC is at the direction of motion AB of the projection vertical survey prism of corner cube (13) of basal plane when making measured angular cone prism (13) place, and parallel with the Z axle.When measured angular cone prism (13) when being axis shaft to rotation γ angle with direction of motion AB, measured angular cone prism (13) reflecting light electric field is
By formula (8) as can be seen, because angle of stereopsis cone prism plating metal on surface film, when linearly polarized light incides prism of corner cube, its reflected light becomes elliptically polarized light, and the axial rotation of prism of corner cube can change the polarization of reflected light characteristic.
Because laser cavity exists birefringence and dichromatism, there is the nonopiate and elliptical polarization phenomenon of polarization in the two bundle polarized lights that laser instrument sends, and the nonlinearity erron that these two kinds of nonlinearity erron sources cause is a first harmonic.For simplifying the analysis, only consider that there is the non-orthogonal situation of polarization in laser beam, does not exist other nonlinearity erron source.Suppose that the bundle of two in the laser emitting light beam (14) frequency differs vibration equation very little, the mutually perpendicular linearly polarized light of direction of vibration and is respectively
Suppose that frequency is f
1Linearly polarized light to depart from the orthogonal directions angle be α, measured angular cone prism (13) is that the axis axial angle is γ with direction of motion AB, reference angle cone prism (12) and measured angular cone prism (13) are the prism of corner cube of solid object surface metal-coated membrane, the two-beam that behind polarization spectroscope (11), is divided into of laser emitting light beam (14) then, this two-beam is respectively through reference angle cone prism (12) and measured angular cone prism (13) reflection, and locate to converge at polarization spectroscope (11) and form irradiating light beam (16), the measuring-signal light intensity that obtains after photelectric receiver receives is
Wherein, (| c
11|, δ
11), (| c
21|, δ
21), (| c
22|, δ
22) be respectively c
11, c
21, c
22Amplitude and phase place, Δ f=f
2-f
1, Δ φ has comprised the displacement information that measured angular cone prism (13) moves, Δ φ for measuring the phase increment of light path relative reference light path
NonlBeing plated film angle of stereopsis cone prism reflected light polarization characteristic and measured angular cone prism (13) is the nonlinearity erron that the axial rotation of axis causes with its direction of motion AB, and its model is
Wherein,
A=|c
11||c
21|sinγsin(δ
11-δ
21)+|c
11||c
22|cosγsin(δ
11-δ
22) (12)
B=|c
21|
2sin
2γ+|c
22|
2cos
2γ+2|c
21||c
22|sinγcosγcos(δ
22-δ
21) (13)
C=|c
11||c
21|sinγcos(δ
11-δ
21)+|c
11||c
22|cosγcos(δ
11-δ
22) (14)
Is the influence of the axial rotation of axis to the heterodyne interference nonlinear error in order to analyze plated film angle of stereopsis cone prism reflected light polarization characteristic and measured angular cone prism (13) with its direction of motion AB, if reference angle cone prism (12) and measured angular cone prism (13) plating metal on surface silver, its complex index of refraction is 0.067-4.05i, and the angle of stereopsis cone prism adopts BK7 glass to make.
The nonlinearity erron size simulation curve that accompanying drawing 3 causes under anglec of rotation γ in disalignment for plated film angle of stereopsis cone prism reflected light polarization characteristic and measured angular cone prism (13) according to formula (11) calculating, the nonopiate angle α of linearly polarized light polarization of the two bundle frequency differences that comprise of curve 1 expression laser emitting light beam (14), direction of vibration quadrature=3 ° wherein, curve 2 expression α=6 °, curve 3 expression α=9 °.When measured angular cone prism (13) is that axis shaft is when anglec of rotation γ is 0 ° with direction of motion AB, α is that the heterodyne interference nonlinear error first harmonic component of 3 °, 6 °, 9 ° correspondences is respectively 2.64nm, 5.30nm, 8.00nm, when the axial anglec of rotation γ of measured angular cone prism was 97 °, α was that the heterodyne interference nonlinear error first harmonic of 3 °, 6 °, 9 ° correspondences is respectively 0.13nm, 0.26nm, 0.39nm.From simulation result as can be seen, no matter why the nonopiate angle α of laser emitting light beam polarization is worth, plated film entity measuring prism of corner cube is that axis shaft is when rotation 97 is spent with direction of motion AB, can make nonlinearity erron first harmonic component be reduced to minimum, and be about 0.049 times of original nonlinearity erron first harmonic component, realize reducing to measure the purpose of nonlinearity erron, and had significant effect.
A kind of device that reduces heterodyne interference nonlinear error first harmonic component.
Below in conjunction with accompanying drawing the device that reduces heterodyne interference nonlinear error first harmonic component provided by the invention is specifically addressed.
The structural representation of the device that reduces heterodyne interference nonlinear error first harmonic component provided by the invention as shown in Figure 4.Comprise two-frequency laser (21), spectroscope (22), polarization spectroscope (23), reference angle cone prism (24), measured angular cone prism (25), universal stage (26), catoptron (27), analyzer (28), photodetector (29), analyzer (30), photodetector (31), reference angle cone prism (24) and measured angular cone prism (25) are entity plated film prism of corner cube.
Two-frequency laser (21) sends the light beam that includes two kinds of frequencies, two kinds of polarization directions, and this light beam is divided into two-beam behind spectroscope (22), and wherein folded light beam is received by photodetector (29) through analyzer (28), forms reference signal; Transmitted light beam enters polarization spectroscope (23), and the light that this bundle comprises two kinds of frequencies, two kinds of polarization directions is polarized spectroscope (23) and is divided into two-beam, and wherein the polarization direction is reflected perpendicular to the light beam of paper, and the polarization direction is parallel to the light beam of paper by transmission; Be polarized spectroscope (23) beam reflected through fixing reference angle cone prism (24) reflected back polarization spectroscope (23), the light beam that is polarized spectroscope (23) transmission is through measured angular cone prism (25) also reflected back polarization spectroscope (23), two bundles are located to converge at polarization spectroscope (23) through reference angle cone prism (24) and measured angular cone prism (25) beam reflected, after catoptron (27) reflection, receive by photodetector (31) through analyzer (30), form measuring-signal.
Measured angular cone prism (25) is installed on the universal stage (26), incide vertical its basal plane incident of light beam of measured angular cone prism (25), measured angular cone prism (25) when placing one bar rectangular edge at the direction of motion A ' B ' of the projection vertical survey prism of corner cube (25) of basal plane, and it is parallel with Z ' axle, universal stage (26) is along the axial wheel measuring prism of corner cube (25) of measured angular cone prism (25) direction of motion A ' B ', universal stage (26) axially rotates 97 degree counterclockwise or clockwise, when measuring with device of the present invention, when being measured angular cone prism (25) motion, heterodyne interference nonlinear error first harmonic component is reduced to minimum in the measuring-signal that obtains, be about 0.049 times of original first harmonic component, effectively reduced the measurement nonlinearity erron.
Claims (6)
1. method that reduces heterodyne interference nonlinear error first harmonic component, the method includes the steps of:
(1) sends the light beam that contains two kinds of frequencies, two kinds of polarization directions by two-frequency laser; (2) this light beam is divided into two-beam behind spectroscope, and wherein beam reflected is received by photodetector through analyzer, forms reference signal; (3) light beam of transmission enters polarization spectroscope, the light that this bundle comprises two kinds of frequencies, two kinds of polarization directions is polarized spectroscope and is divided into two-beam, wherein the polarization direction is reflected perpendicular to the light beam of paper and is called folded light beam, and the light beam that the polarization direction is parallel to paper is called transmitted light beam by transmission
It is characterized in that: described folded light beam is through fixing reference angle cone prism reflected back polarization spectroscope, and described transmitted light beam is through being installed in the also reflected back polarization spectroscope of measured angular cone prism on the universal stage; More than two bundles converge at the polarization spectroscope place through reference angle cone prism and measured angular cone prism beam reflected, after mirror reflects, receive by photodetector through analyzer, form measuring-signal; Described universal stage is along the axial wheel measuring prism of corner cube of measured angular cone prism direction of motion, and described universal stage axially rotates 97 degree counterclockwise or clockwise.
2. the method that reduces heterodyne interference nonlinear error first harmonic component according to claim 1, it is characterized in that: basal plane was perpendicular to incident beam when described measured angular cone prism was placed, a rectangular edge of described measured angular cone prism is at the direction of motion A ' B ' of the vertical described measured angular cone prism of the projection of its basal plane, and is parallel with Z ' axle.
3. the method that reduces heterodyne interference nonlinear error first harmonic component according to claim 1 is characterized in that the measured angular cone prism is the axial rotation of axis with direction of motion A ' B '.
4. claim 1 or the 2 or 3 described devices that reduce heterodyne interference nonlinear error first harmonic component, comprise two-frequency laser, spectroscope, polarization spectroscope, fixing reference angle cone prism, catoptron, analyzer, photodetector, it is characterized in that: this device also comprises universal stage, and is installed in the measured angular cone prism on the universal stage.
5 devices that reduce heterodyne interference nonlinear error first harmonic component according to claim 4 is characterized in that: described reference angle cone prism and/or described measured angular cone prism plating metal on surface film, and be the angle of stereopsis cone prism.
6 according to claim 4 or the 5 described devices that reduce heterodyne interference nonlinear error first harmonic component, it is characterized in that: it is that axis shaft is to positive and negative 97 degree of rotation that the corner of described measured angular cone prism on described universal stage is defined as with direction of motion A ' B '.
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