CN107102436A - A kind of wave plate group design method for compensating any optical phase put-off - Google Patents

A kind of wave plate group design method for compensating any optical phase put-off Download PDF

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Publication number
CN107102436A
CN107102436A CN201710332040.XA CN201710332040A CN107102436A CN 107102436 A CN107102436 A CN 107102436A CN 201710332040 A CN201710332040 A CN 201710332040A CN 107102436 A CN107102436 A CN 107102436A
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wave plate
plate group
optical phase
phase put
optical
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CN107102436B (en
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李旸晖
周辉
来邻
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China Jiliang University
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/0025Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/28Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
    • G02B27/286Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising for controlling or changing the state of polarisation, e.g. transforming one polarisation state into another

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Polarising Elements (AREA)

Abstract

The invention discloses a kind of wave plate group design method for compensating any optical phase put-off, including:1) wave plate group is placed in the front end or rear end of the optical system light path of optical phase put-off to be compensated;2) referred to the optical system of optical phase put-off to be compensated, the quick shaft direction of optical system is abscissa, sets up cartesian coordinate system;3) by corresponding Jones matrix successively premultiplication, the Jones matrix of the optical system after being modulated through wave plate group is obtained;4) by corresponding Jones vector successively premultiplication, the Jones vector of outgoing light wave is obtained;5) Jones vector of the outgoing light wave after modulation Jones vector corresponding with required outgoing optical polarization is compared, calculate need adjust wave plate group in each wave plate with reference frame abscissa angle;6) each wave plate in wave plate group is rotated with reference frame abscissa angle according to each wave plate in the wave plate group calculated, completes the compensation of optical phase put-off produced to optical phase put-off optical system to be compensated.

Description

A kind of wave plate group design method for compensating any optical phase put-off
Technical field
The present invention relates to crystal Wave-front phase compensation technique field, polarization Modulation field, and in particular to one kind compensation The wave plate group design method of any optical phase put-off.
Background technology
With the development of the technologies such as Fibre Optical Communication Technology, super-resolution microtechnic, optical fiber sensing technology, to optical phase Accurate control brings higher requirement.Due to the presence of the various polarizers in optical system, optical phase can be induced and prolonged Late, then the polarization state of light is changed, finally directly affects the capacity usage ratio or imaging effect of optical system.Cause This, it is necessary to optical phase put-off caused by non-design factor in optical system is compensated for, with eliminate or reduction system in it is non- The influence for the optical phase put-off that design factor is introduced, so as to improve the operating efficiency and work quality of optical system.
In Wu Wendi et al. patent document《Dual wavelength optical phase delay device》, in Publication No. CN105700059A, There is provided a kind of wave plate combined for optical phase-retardation compensating, the patent document employs monolithic birefringent filter group Close, by calculating the thickness for the birefringent filter that need to compensate optical phase, change the thickness of birefringent filter to obtain Need optical phase difference.But the present invention has limitation, it can only be compensated for fixed optical phase put-off.In optics phase Limitation is larger in terms of the delay compensation of position, and the patented technology need to adjust the thickness of birefringent filter to change optical phase Difference, complex operation realizes that difficulty is big.And in Zhao Shuqing et al. patent document《Optical phase delay device》, Publication No. In CN1387071A, light beam is split using birefringece crystal, a branch of is ordinary light, and another beam is extraordinary ray, then This two beams polarised light is coupled using parallel beam splitter piece, the angle of two beam splitting chip optical axises of control can obtain required optics phase Position delay, but still there are some defects:First, using the method for birefringece crystal beam splitting, optical phase put-off can be caused Accuracy of measurement is not high;Second, in optical phase put-off needed for producing, it is necessary to realized by changing the thickness of parallel beam splitter piece, Complex operation, cost is higher, and universality is poor.
The content of the invention
The present invention is poor for existing optical phase-retardation compensating device universality, versatility, flexibility, for optical system The middle optical phase-retardation compensating excessively complicated and not high technical problem of compensation precision, it is proposed that any optics of one kind compensation The wave plate group design method of phase delay.The optical phase produced using the wave plate group being made up of half-wave plate and quarter-wave plate Difference, is compensated to the optical phase put-off that non-design factor is produced in the optical system of optical phase put-off to be compensated, this Compensation way just can be realized to optics by adjusting the angle of half-wave plate and quarter-wave plate and reference frame abscissa The compensation of the arbitrary optical phase put-off produced in system.
A kind of wave plate group design method for compensating any optical phase put-off, it is characterised in that comprise the following steps:
1) wave plate group is placed in the front end or rear end of the optical system light path of optical phase put-off to be compensated, wave plate group is vertical Light wave propagation direction is placed in light path, is prolonged for compensating the optical phase that the optical system of optical phase put-off to be compensated is produced Late;
2) referred to the optical system of optical phase put-off to be compensated, the quick shaft direction of optical system is abscissa, light The slow-axis direction of system is ordinate, sets up cartesian coordinate system;
3) by the Jones matrix and step 1 of the optical system of optical phase put-off to be compensated) in wave plate group Jones matrix According to light wave incidence order in light path successively premultiplication, the Jones matrix of the optical system after being modulated through wave plate group is obtained;
4) by step 3) in through wave plate group modulate after optical phase put-off to be compensated optical system Jones matrix with Incident light wave Jones vector premultiplication successively, obtains the optical system through optical phase put-off to be compensated, going out after the modulation of wave plate group Penetrate the Jones vector of light wave;
5) by step 4) in the optical system through optical phase put-off to be compensated, wave plate group modulation after outgoing light wave fine jade This vector Jones vector corresponding with required outgoing optical polarization is compared, and calculates each in the wave plate group for needing to adjust Wave plate is with reference frame abscissa angle;
6) according to step 5) in the wave plate group that calculates each wave plate with reference frame abscissa angle, rotate wave plate The wave plate of each in group, completes the compensation of optical phase put-off produced to optical phase put-off optical system to be compensated.
Step 1) in, preferably, the wave plate group is the combination of linear polarizer, half-wave plate and quarter-wave plate;
It is linearly polarized light that the linear polarizer, which is used to regulate and control incident light wave,;
The optical phase put-off is to pass through optical phase put-off to be compensated between the vertical component and parallel component of light wave Optical system after the phase difference that produces.
Step 2) in, the fast axle of the optical system of the optical phase put-off to be compensated is the inclined of the fast light wave components of propagation Shake direction, and its vertical direction is slow-axis direction.
Step 3) in, the fast axle of quarter-wave plate and reference frame abscissa angle are θ, half-wave in the wave plate group The fast axle of piece and the angle of reference frame abscissa are α, the optics phase of the optical system generation of optical phase put-off to be compensated Position delay is η;
Half-wave plate, quarter-wave plate fast axis correspond in half-wave plate and quarter-wave plate propagate respectively in the wave plate group The polarization direction of fast light wave components, its vertical direction corresponds to the direction of half-wave plate and a quarter slow axis respectively;
The two-dimentional square formation that linear transformation of the Jones matrix to characterize polarizer is acted on;
The Jones matrix of Jones matrix of the Jones matrix comprising half-wave plate and quarter-wave plate in the wave plate group;
The Jones matrix of the half-wave plate is:
The Jones matrix of the quarter-wave plate is:
The Jones matrix of the optical system of the optical phase put-off to be compensated is:
It is described modulated through wave plate group after the Jones matrix of optical system be:
Step 4) in, the incident light wave is modulated to linearly polarized light after linear polarizer;
The Jones vector of outgoing light wave after the modulation is:
Wherein, A, B, C, D, K are:
Step 5) in, the required outgoing optical polarization is the focal plane for the optical system for wanting to enter into phase to be compensated Light wave polarization state, can for linearly polarized light, circularly polarized light or elliptically polarized light etc. random polarization state polarised light, its Jones Vector representation is:
Wherein, a, b, c, d take appropriate value to represent the polarised light of any correspondence polarization state, will be through optics phase to be compensated Position delay optical system, wave plate group modulation after outgoing light wave Jones vector E1It is corresponding with required outgoing optical polarization Jones vector EoutIt is compared, calculates the fast axle and reference frame abscissa angle theta of quarter-wave plate0And half-wave plate Fast axle and reference frame abscissa angle α0
Wave plate includes with reference frame abscissa angle in the wave plate group for needing to adjust:Quarter-wave plate it is fast Axle and reference frame abscissa angle theta and the fast axle of half-wave plate and the angle α of reference frame abscissa.
Step 6) in, the modulator approach of each wave plate is in the rotation wave plate group:Quarter-wave plate is rotated simultaneously Fast axle and reference frame abscissa angle are θ0, the fast axle of half-wave plate and the angle of reference frame abscissa be α0
Relative to prior art, the present invention has following beneficial technique effect:
The wave plate group that the present invention is made up of wave plates such as the linear polarizers, half-wave plate, quarter-wave plate to introducing, is placed The correct position in optical system, and the optical phase of the non-design factor generation of optical element introducing in optical system is prolonged Measure late, by being precisely calculated, show that each wave plate needs the angle adjusted in wave plate group, finally to by linear polarization The wave plate group of the wave plates such as device, half-wave plate, quarter-wave plate composition makees corresponding adjustment, realizes to optical element in optical system The compensation for the optical phase put-off that the non-design factor introduced is produced.The present invention can be in a series of measurements relatively easily realized After calculating, relatively simple adjustment is made to the wave plate group being made up of wave plates such as linear polarizer, half-wave plate, quarter-wave plates, And on the premise of extra phase difference is not introduced, it compensate for what the non-design factor that optical element is introduced in optical system was produced Any optical phase put-off.Any optical phase put-off method of present invention compensation is flexible and changeable, simple and easy to operate, and embodiment party Method is cheap, applied widely.
Brief description of the drawings
Fig. 1 is applied to laser scanning confocal micro- scope for a kind of wave plate group design method for compensating any optical phase put-off The structural representation of system;
Fig. 2 is the optical phase put-off figure of dichroscope reflected light.
Embodiment
Illustrate the present invention below in conjunction with the accompanying drawings, but the present invention is not limited thereto.
It is a kind of wave plate group design method of any optical phase put-off of compensation of one embodiment of the invention as shown in Figure 1 Applied to the structural representation of laser scanning confocal micro- scope system, the system of the embodiment includes:1st, laser;2nd, linear polarization Device;3rd, total reflective mirror;4th, half-wave plate;5th, quarter-wave plate;6th, dichroscope;7th, object lens;8th, sample cell;9th, photodetector. Laser 1 export light wave, be modulated to linearly polarized light through linear polarizer 2, incided after total reflective mirror 3 from half-wave plate 4 and two to Look mirror 6, shines after then being modulated through quarter-wave plate 5 from the sample stimulated luminescence in the arrival sample cell 8 of object lens 7, sample cell 8 Penetrate, the detection light emitted reaches photodetector 9 respectively through object lens 7, dichroscope 6, by half in wave plate group Wave plate 4 and quarter-wave plate 5 are adjusted, and optical phase put-off is mended caused by the non-design factor introduced to dichroscope 6 Repay, so as to regulate and control to the exciting light for inciding object lens 7, to obtain output light-wave of the polarization state as circularly polarized light, finally reach To the purpose for improving microscopic system resolution ratio.
The wave plate group being made up of linear polarizer 2, half-wave plate 4, quarter-wave plate 6 is positioned over dichroic as shown in Figure 1 The front end or rear end of mirror 5.
Set up cartesian coordinate system by x-axis of the fast axle of dichroscope 6, the angle of quarter-wave plate fast axis and x-axis is θ, The angle of half-wave plate fast axle and x-axis is α;The wavelength of the output exciting light of laser 1 is 550 nanometers, is adjusted to by linear polarizer 2 Linearly polarized light.Half-wave plate 4, Jones vector E of the exciting light after the modulation of half-wave plate 4 are incided by total reflective mirror 30For:
E0From the outgoing of half-wave plate 4, incide on dichroscope 6, as shown in Fig. 2 wavelength is incident for 550 nanometers of exciting light Optical phase put-off η=0.0332 caused by the non-design factor introduced to dichroscope 6.By the Jones matrix of dichroscope 6 Jones matrix with quarter-wave plate obtains the light after being modulated through wave plate group according to light wave incidence order in light path successively premultiplication The Jones matrix of system is:
By Jones matrix and the incident light wave Jones vector of the optical system after being modulated through wave plate group successively premultiplication, obtain through The Jones vector E of outgoing light wave after dichroscope 6, the modulation of wave plate group1For:
Wherein:
Required circularly polarized light Jones vector is:
Wherein:
A=0, b=1, c=0, d=1;
Will after linear polarizer 2, half-wave plate 4, dichroscope 6, quarter-wave plate 5 are modulated, the exciting light of outgoing Jones vector E1With required circularly polarized light Jones vector EoutIt is compared, calculates the fast of the quarter-wave plate 6 that needs are adjusted The fast axle of angle theta and half-wave plate 4 and the angle α of x-axis of axle and x-axis be:
α=0 °, θ=45 ° or α=90 °, θ=- 45 °.
Rotate simultaneously the fast axle of quarter-wave plate 6 and the angle theta of x-axis be 45 °, the angle of the fast axle of half-wave plate 4 and x-axis α is 0 °;Or, while rotate the fast axle of quarter-wave plate 6 and the angle theta of x-axis be -45 °, the fast axle of half-wave plate 4 and x-axis Angle α is 90 °.Now, the Jones vector E of the outgoing light wave after modulation1For:
Wherein:
Now, by linear polarizer 2, half-wave plate 4, quarter-wave plate 5 modulation, complete and dichroscope 6 introduced Non- design factor caused by optical phase put-off compensation, so as to obtain E1The circularly polarized light for needed for.

Claims (6)

1. a kind of wave plate group design method for compensating any optical phase put-off, it is characterised in that comprise the following steps:
1) wave plate group is placed in the front end or rear end of the optical system light path of optical phase put-off to be compensated, wave plate group is perpendicular to light Light wave propagation direction is placed in road, for compensating the optical phase put-off that the optical system of optical phase put-off to be compensated is produced;
2) referred to the optical system of optical phase put-off to be compensated, the quick shaft direction of optical system is abscissa, optical system The slow-axis direction of system is ordinate, sets up cartesian coordinate system;
3) by the Jones matrix and step 1 of the optical system of optical phase put-off to be compensated) in wave plate group Jones matrix according to Light wave incidence order premultiplication successively in light path, obtains the Jones matrix of the optical system after being modulated through wave plate group;
4) by step 3) in modulated through wave plate group after optical phase put-off to be compensated optical system Jones matrix with it is incident Light wave Jones vector premultiplication successively, obtains the optical system through optical phase put-off to be compensated, the emergent light after the modulation of wave plate group The Jones vector of ripple;
5) by step 4) in the optical system through optical phase put-off to be compensated, wave plate group modulation after outgoing light wave Jones arrow Amount Jones vector corresponding with required outgoing optical polarization is compared, and calculates each wave plate in the wave plate group for needing to adjust With reference frame abscissa angle;
6) according to step 5) in the wave plate group that calculates each wave plate with reference frame abscissa angle, rotate in wave plate group Each wave plate, completes the compensation of optical phase put-off produced to optical phase put-off optical system to be compensated.
2. a kind of wave plate group design method for compensating any optical phase put-off according to claim 1, it is characterised in that: Step 1) described in wave plate group be linear polarizer, half-wave plate and quarter-wave plate combination.
3. a kind of wave plate group design method for compensating any optical phase put-off according to claim 1, it is characterised in that: Step 2) described in optical phase put-off to be compensated optical system fast axle to propagate the polarization direction of fast light wave components, its Vertical direction is slow-axis direction.
4. a kind of wave plate group design method for compensating any optical phase put-off according to claim 1, it is characterised in that: Step 3) described in Jones matrix of the Jones matrix comprising half-wave plate in wave plate group and quarter-wave plate Jones matrix.
5. a kind of wave plate group design method for compensating any optical phase put-off according to claim 1, it is characterised in that: Step 5) described in need regulation wave plate group in wave plate include with reference frame abscissa angle:Quarter-wave plate it is fast Axle and the fast axle of reference frame abscissa angle and half-wave plate and the angle of reference frame abscissa.
6. a kind of wave plate group design method for compensating any optical phase put-off according to claim 1, it is characterised in that: Step 6) described in rotate the modulator approach of each wave plate in wave plate group and be:Fast axle and the reference of quarter-wave plate are rotated simultaneously The fast axle of coordinate system abscissa angle and half-wave plate and the angle of reference frame abscissa.
CN201710332040.XA 2017-05-10 2017-05-10 Wave plate set design method for compensating any optical phase delay Expired - Fee Related CN107102436B (en)

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CN109932827A (en) * 2019-03-29 2019-06-25 惠州学院 The full fiber waveguide device of polarization information and strength information is utilized based on collaboration
CN110146993A (en) * 2018-02-13 2019-08-20 李卫 A kind of method and apparatus for the biasing of fibre ring interferometer passive phase
CN111708168A (en) * 2019-07-19 2020-09-25 业成科技(成都)有限公司 Head-mounted virtual reality display device and optical system thereof
CN112219143A (en) * 2018-03-02 2021-01-12 加里夏普创新有限责任公司 Retarder stack pair for polarization basis vector conversion
CN112558332A (en) * 2020-12-30 2021-03-26 山西大学 Automatic phase compensation device and use method thereof
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CN105700059A (en) * 2016-05-03 2016-06-22 曲阜师范大学 Dual-wavelength optical phase delayer
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CN110146993A (en) * 2018-02-13 2019-08-20 李卫 A kind of method and apparatus for the biasing of fibre ring interferometer passive phase
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CN112558332A (en) * 2020-12-30 2021-03-26 山西大学 Automatic phase compensation device and use method thereof

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