CN203799117U - Phase mask plate and wavefront coding imaging system capable of adjusting quality of intermediate coding image - Google Patents

Phase mask plate and wavefront coding imaging system capable of adjusting quality of intermediate coding image Download PDF

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Publication number
CN203799117U
CN203799117U CN201420129085.9U CN201420129085U CN203799117U CN 203799117 U CN203799117 U CN 203799117U CN 201420129085 U CN201420129085 U CN 201420129085U CN 203799117 U CN203799117 U CN 203799117U
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phase mask
mask plate
function
phase
wavefront
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赵惠
魏静萱
雷广智
庞志海
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XiAn Institute of Optics and Precision Mechanics of CAS
Xidian University
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XiAn Institute of Optics and Precision Mechanics of CAS
Xidian University
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Abstract

The utility model relates to a phase mask board and can adjust wavefront coding imaging system of middle code image quality, this phase mask board's phase mask function is formed by two exponential function superpositions that have relative displacement volume, and its one-dimensional function expression is: q = α (x + m) · exp (β (x + m)2)+α(x+n)·exp(β(x+n)2) (ii) a In the formula: α, β, m and n are parameters of the phase distribution function, respectively; x is normalized coordinate, and the value range of x is [ -1, 1 [)]The ranges of the offsets m and n are [ -1, 1 [ ]]. The utility model provides a can effectively enlarge the system depth of field, adjust middle code image quality and acquire better phase mask board that recovers the filtering effect and provide help and can adjust the wavefront coding imaging system of middle code image quality.

Description

Phase mask plate and can regulate the wavefront coded imaging systems of inter-coded pictures quality
Technical field
The utility model belongs to optical field, relates to a kind of phase mask plate and can regulate the wavefront coded imaging systems of inter-coded pictures quality.
Background technology
The depth of field of expansion optical system always is the focus of academia's research, since 20th century the mid-80, although panoramic method is proposed for depth of field expansion, but until after doctor Dowski of Univ Colorado-Boulder USA and Cathey teach and propose wavefront coded concept in nineteen ninety-five, depth of field continuation has just had breakthrough truly.
Taking one dimensional optical system as example, its out of focus optical transfer function OTF can obtain by the auto-correlation computation of generalized pupil function, as follows:
H ( u , W 20 ) = 1 2 · ∫ - ( 1 - | u | / 2 ) 1 - | u | / 2 exp ( j · ( 2 k W 20 ux + f ( x + u / 2 ) - f ( x - u / 2 ) ) ) dx
Wherein, u and x are respectively normalized spatial frequency and aperture plane lateral coordinates; W 20it is maximum defocus wave aberration coefficient; K is wave number; F represents phase mask plate universal expression formula.
For traditional imaging system, the f item in above formula does not exist, and the expression that therefore can easily obtain out of focus OTF is:
H ( u , W 20 ) = sin ( 2 kW 20 · ( 1 - | u | 2 ) ) 2 k W 20 u u ≠ 0
Can see, in the time that system is not introduced phase mask plate, its OTF is highstrung to out of focus, and can periodically occur in frequency space zero point, thereby causes irreversible information loss.Once but by cube phase mask plate (f (the x)=α x of doctor E.R.Dowski institute utility model 3) be incorporated on the entrance pupil face of optical system after, just can obtain a diverse out of focus OTF by static phase method of approximation, as follows:
H ( u , W 20 ) ≈ 1 2 · π | 3 αu | · exp ( j · ( αu 3 4 - k 2 u W 2 20 3 α ) + j · sgn ( u ) · π 4 ) u ≠ 0
Obviously, the now mould of out of focus OTF, MTF and out of focus wave aberration coefficient have nothing to do, and that is to say that cube phase mask plate can make system MTF insensitive to out of focus; Although the phase bit position of OTF and degree of blur W 20relevant, but as long as modulation factor α increases, it is to W 20dependency degree will significantly reduce.Most importantly simultaneously, after having added phase mask plate, MTF just has decline to a certain degree within effective frequency range in amplitude, and there is not zero point or nearly zero point, be that system is while occurring out of focus, the information that exceeds primal system field depth is not lost, and just can effectively be recovered afterwards by digital image restoration algorithm.Meanwhile, because logical light quantity and the resolution of phase mask plate to system can not impact, be a kind of novel field depth extension imaging technology that is different from very much reduced bore method, central obscuration method or apodization so wavefront coded.
As the core parts of wavefront coding technology, the phase mask plate that existing research institute relates to is inseparable obtaining mostly, after design typification, cannot dynamically change its physical aspect, therefore the quality of the corresponding inter-coded pictures of system is determined, in other words, intermediate code out of focus modulation transfer function is fixed with respect to the decline situation of diffraction limited system modulation transport function.But, physics scene to be imaged may be very complicated, such as the target of slight out of focus does not need over-compressed intermediate code out of focus modulation transfer function (corresponding inter-coded pictures fog-level is little), serious out of focus target needs to introduce the decline (corresponding inter-coded pictures fog-level is large) of larger modulation transfer function.Therefore, wavefront coded system should possess such ability: according to the height of the image-forming range dynamic adjustments out of focus transport function of estimating, thereby the quality of inter-coded pictures is carried out to the adjusting of realistic demand, and then offer help for obtaining high-quality recovery filter effect.
Utility model content
In order to solve the above-mentioned technical matters existing in background technology, the utility model provides a kind of can effectively be expanded the system depth of field, regulates inter-coded pictures quality and obtain the phase mask plate that better recovery filter effect offers help and the wavefront coded imaging systems that can regulate inter-coded pictures quality.
Technical solution of the present utility model is: the utility model provides a kind of phase mask plate, its special character is: the phase mask function of described phase mask plate is formed by stacking by two exponential functions with relative shift, and its one dimension function expression is:
Q(x)=α(x+m)·exp(β(x+m) 2)+α(x+n)·exp(β(x+n) 2)
In formula:
α, β, m and n are respectively the parameters of PHASE DISTRIBUTION function;
X is normalization coordinate, and the span of x is [1,1], and the span of side-play amount m and n is [1,1].
Based on the wavefront coded imaging systems that can regulate inter-coded pictures quality of phase mask plate as above, its special character is: the described wavefront coded imaging systems that can regulate inter-coded pictures quality comprises imaging lens, image detector, graphics processing unit and foregoing phase mask plate; Described imaging lens, phase mask plate and image detector are successively set in same light path; Described graphics processing unit is connected with image detector.
Above-mentioned phase mask plate is made up of two phase mask plate member with relative displacement.
Above-mentioned two phase mask plate member with relative displacement can be carried out translation independently centered by the aperture plane of imaging lens.
The utility model has the advantages that:
The wavefront coded imaging systems that the utility model proposes a kind of phase mask plate and can regulate based on this phase mask plate intermediate image quality.Phase mask plate is made up of two parts independently, and each part is an exponential function, but has certain displacement with respect to aperture plane center.Imageable target is passed through, after conventional imaging camera lens and above-mentioned phase mask plate, to form fuzzy intermediary image on image detector, and then graphics processing unit carries out deconvolution processing, and final formation focuses on image clearly.Different from coded system before conventional passive wave, to introduce by two parts in control phase mask plate critically side-play amounts, the inter-coded pictures quality that this system obtains can be controlled accordingly, thereby restores and offer help for follow-up filtering.When two parts in phase mask plate move to different directions, and when optimizing the side-play amount that obtains and move, the height of out of focus modulation transfer function just can be controlled effectively, and keeps the inhibiting effect to out of focus simultaneously.This just can play the effect of autotelic adjusting inter-coded pictures quality, restores and provides support for follow-up filtering.The phase mask plate that the utility model proposes not only can play the effect of the expanding system depth of field, and possesses the ability that regulates out of focus modulation transfer function size, thereby can realize the ACTIVE CONTROL to inter-coded pictures quality, can change as required the quality of inter-coded pictures, be the further excavation to the potential application power of wave-front coding imaging technology.
Brief description of the drawings
Fig. 1 has provided the adjustable wavefront coded system architecture of carrying novel phase place mask plate;
Fig. 2 has provided a α and β and has been chosen to be respectively 15 and the example of 1.2 o'clock;
Fig. 3 has provided for the different side-play amounts of Fig. 2 example and has combined corresponding phase function;
Fig. 4 has provided a α and β and has been chosen to be respectively 66 and the example of 0.84 o'clock;
Fig. 5 has provided for the different side-play amounts of Fig. 4 example and has combined corresponding phase function;
The situation of change of out of focus modulation transfer function when Fig. 6 has provided offset data that in table 1, optimization obtains and is strict odd symmetry by rounding up.
Embodiment
Related a kind of for regulating the phase mask plate of wavefront coded system intermediate image quality of the utility model, its special character is: described phase mask function is formed by stacking by two exponential functions with relative shift, and its one dimension function expression is:
Q(x)=α(x+m)·exp(β(x+m) 2)+α(x+n)·exp(β(x+n) 2)
In formula, α, β, m and n are the parameters of PHASE DISTRIBUTION function, x is normalization coordinate.The span of x is [1,1], and the span of side-play amount m and n is [1,1].
With reference to figure 1, in the system proposing at the utility model, imageable target 1 is passed through, after conventional imaging camera lens 2 and phase mask plate 3, to form fuzzy intermediary image on image detector 4, then graphics processing unit 5 carries out deconvolution processing, finally obtains focusing on image 6 clearly.
The utility model can be regarded as has increased a phase mask plate (being placed on pupil) in traditional optical imaging system, when light path is by after this phase mask plate, optical information is encoded, the modulation transfer function (MTF) that is whole optical system can change, although the mtf value after coding is less than the value before coding, but it there will not be null value in the situation that having defocusing amount, so can not cause the loss of image detail information.Being imaged on image detector (as CCD) is a width blurred picture, with digital information processing system, it is decoded, and now the mtf value of system also can correspondingly improve, thereby recovers sharp keen image clearly.
Although the related wavefront coded imaging systems of the utility model in version with conventional wave before coded system similar, its maximum characteristic is: phase mask plate 3 is made up of two parts independently.As shown in Figure 1, by regulating the side-play amount of two independent sectors with respect to aperture center, this system can effectively be controlled the height of out of focus modulation transfer function, thereby has realized effective adjusting of inter-coded pictures quality, and then provides favourable support for the recovery filtering in later stage.Therefore, the wavefront imaging system based on Separable combination phase mask plate the utility model proposes possesses function more flexibly, is further developing wave-front coding imaging technology.
Below in conjunction with Fig. 2, Fig. 3, table 1, Fig. 4, the characteristic of Fig. 5 and table 2 imaging system that the utility model proposed by two groups of examples and expection performance are elaborated:
As previously mentioned, the use of this novel imaging system is made up of 4 steps.First, given α and β, and initial value and the step-length of selection side-play amount; Secondly, make a part in phase mask plate produce skew arbitrarily, obtain the corresponding skew of another one part by the optimized algorithm based on Fisher information afterwards; Again, calculate the area that now out of focus modulation transfer function and frequency axis surround, characterize the height of modulation transfer function with this; Finally, repeat above-mentioned steps and obtain the corresponding relation look-up table between side-play amount combination and the sign amount of out of focus modulation transfer function height.Utilize this look-up table, the position phase that just can dynamically produce by changing phase mask plate as required, thus realize the adjusting to inter-coded pictures quality.
As shown in Figure 2, provide a α and β and be chosen to be respectively 15 and the example of 1.2 o'clock.First, by aforesaid 4 steps, the relation table of the area that acquisition intermediate code out of focus modulation transfer function and frequency coordinate axle surround and side-play amount combination, as shown in table 1.Afterwards, for each combination, get respectively in defocusing amount in 0,15 and 30 situation, draw out of focus modulation transfer function.Wherein, horizontal ordinate represents normalized spatial frequency, and ordinate represents normalized modulation transfer function.
Table 1 is for the optimization data of Fig. 2
At α and β, definite in the situation that, along with the changes of two part side-play amount combinations in phase mask plate, the size of out of focus modulation transfer function also changes thereupon, but it still has fabulous inhibiting effect to out of focus.(Fig. 3 has provided for the different side-play amounts of Fig. 2 example and has combined corresponding phase function Fig. 3.Wherein horizontal ordinate represents normalized aperture coordinate, and ordinate represents phase function.) provided different side-play amounts and combine the impact on phase mask plate phase function.Can see, the marked change of phase function edge slope is to cause the controlled true cause of intermediate code out of focus modulation transfer function height.Fig. 4 and Fig. 5 are also similar.
Fig. 4 has provided a α and β and has been chosen to be respectively 66 and the example of 0.84 o'clock.First, by aforesaid 4 steps, the relation table of the area that acquisition intermediate code out of focus modulation transfer function and frequency coordinate axle surround and side-play amount combination, as shown in table 2.Afterwards, for each combination, get respectively in defocusing amount in 0,15 and 30 situation, draw out of focus modulation transfer function.Wherein, horizontal ordinate represents normalized spatial frequency, and ordinate represents normalized modulation transfer function.
Table 2 is for the optimization data of Fig. 4
Fig. 5 has provided for the different side-play amounts of Fig. 4 example and has combined corresponding phase function.Wherein horizontal ordinate represents normalized aperture coordinate, and ordinate represents phase function.
But, have two problems to merit attention:
The first, in two groups of examples, selected start offset amount and step size increments are 0.2, but by comparison diagram 2 and Fig. 4, a marked difference has manifested out.In the time that side-play amount is increased to 0.5, α and β equal the out of focus transport function that 66 and 0.84 this group example is corresponding and have produced violent shake, and this is totally unfavorable for follow-up recovery filtering.In other words, for different α and β, the upper limit of the side-play amount of practical requirement is not identical, by reducing the step size increments of side-play amount, just can comparatively accurately obtain the bound of effective side-play amount.
The second, can be seen by table 1 and table 2, although two corresponding side-play amounts of ingredient are not identical in phase mask plate, but very close.This just means that phase mask plate that the utility model proposes is in the time carrying out splitting and reorganizing, substantially or carry out in odd symmetric mode.But, after the side-play amount that optimization in table 1 and table 2 is obtained rounds up, find, the stability of its corresponding out of focus modulation transfer function does not produce the very large variation (situation of change of out of focus modulation transfer function when as shown in Figure 6, Fig. 6 has provided offset data that in table 1, optimization obtains and is strict odd symmetry by rounding up.), this just can simplify the use-pattern of this system, and has reduced the accuracy requirement to side-play amount governor motion.

Claims (4)

1. a phase mask plate, is characterized in that: the phase mask function of described phase mask plate is formed by stacking by two exponential functions with relative shift, and its one dimension function expression is:
Q(x)=α(x+m)·exp(β(x+m) 2)+α(x+n)·exp(β(x+n) 2)
In formula:
α, β, m and n are respectively the parameters of PHASE DISTRIBUTION function;
X is normalization coordinate, and the span of x is [1,1], and the span of side-play amount m and n is [1,1].
2. the wavefront coded imaging systems that can regulate inter-coded pictures quality based on phase mask plate as claimed in claim 1, is characterized in that: the described wavefront coded imaging systems that can regulate inter-coded pictures quality comprises imaging lens, image detector, graphics processing unit and phase mask plate as claimed in claim 1; Described imaging lens, phase mask plate and image detector are successively set in same light path; Described graphics processing unit is connected with image detector.
3. the wavefront coded imaging systems that can regulate inter-coded pictures quality according to claim 2, is characterized in that: described phase mask plate is made up of two phase mask plate member with relative displacement.
4. the wavefront coded imaging systems that can regulate inter-coded pictures quality according to claim 3, is characterized in that: described in there is relative displacement two phase mask plate member can centered by the aperture plane of imaging lens, carry out translation independently.
CN201420129085.9U 2014-03-20 2014-03-20 Phase mask plate and wavefront coding imaging system capable of adjusting quality of intermediate coding image Expired - Lifetime CN203799117U (en)

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103885176A (en) * 2014-03-20 2014-06-25 中国科学院西安光学精密机械研究所 Phase mask plate and wavefront coding imaging system capable of adjusting quality of intermediate coding image
US10795168B2 (en) 2017-08-31 2020-10-06 Metalenz, Inc. Transmissive metasurface lens integration
US11906698B2 (en) 2017-05-24 2024-02-20 The Trustees Of Columbia University In The City Of New York Broadband achromatic flat optical components by dispersion-engineered dielectric metasurfaces
US11927769B2 (en) 2022-03-31 2024-03-12 Metalenz, Inc. Polarization sorting metasurface microlens array device
US11978752B2 (en) 2019-07-26 2024-05-07 Metalenz, Inc. Aperture-metasurface and hybrid refractive-metasurface imaging systems

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103885176A (en) * 2014-03-20 2014-06-25 中国科学院西安光学精密机械研究所 Phase mask plate and wavefront coding imaging system capable of adjusting quality of intermediate coding image
US11906698B2 (en) 2017-05-24 2024-02-20 The Trustees Of Columbia University In The City Of New York Broadband achromatic flat optical components by dispersion-engineered dielectric metasurfaces
US10795168B2 (en) 2017-08-31 2020-10-06 Metalenz, Inc. Transmissive metasurface lens integration
US11579456B2 (en) 2017-08-31 2023-02-14 Metalenz, Inc. Transmissive metasurface lens integration
US11988844B2 (en) 2017-08-31 2024-05-21 Metalenz, Inc. Transmissive metasurface lens integration
US11978752B2 (en) 2019-07-26 2024-05-07 Metalenz, Inc. Aperture-metasurface and hybrid refractive-metasurface imaging systems
US11927769B2 (en) 2022-03-31 2024-03-12 Metalenz, Inc. Polarization sorting metasurface microlens array device

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