CN104698801B - Method for eliminating digital holographic zero-order image through one-step fixed angle phase shift - Google Patents
Method for eliminating digital holographic zero-order image through one-step fixed angle phase shift Download PDFInfo
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Abstract
The invention provides a method for eliminating a digital holographic zero-order image through one-step fixed angle phase shift. According to the method, a linkage double-reference light rectangular light path is firstly proposed, a parallel opposite reflector set loaded on a micromotion translation platform in the light path guarantees that the phase-shift magnitude of two beams of reference light is opposite numbers when the micromotion translation platform conducts displacement, and the feature can make certain digital holographic technologies be easier and convenient to operate. An interfering device is composed of double reference lights, the actual phase-shift magnitude can be accurately measured, meanwhile, a phase-shift is fed back, and the accuracy of fixed angle phase shift is ensured. On the basis of the light path feature, a matched algorithm is proposed, an existing phase-shift zero-elimination-level digital homographic technique is changed from multiple steps to one-step phase shift, accordingly the error caused by the multiple steps is eliminated, and the phase shift technology is made to be easier and more convenient to use and higher in operability.
Description
Technical field
The present invention relates to Digital Holography field, more particularly to a kind of to eliminate zero-order image by a step fixed angles phase shift
Off-axis or coaxial digital holography method.
Background technology
British scientist gal cypress proposes first setting for holography when the resolving power for improving electron microscope is engaged in
Think, and hologram and its reproduction image were obtained first using mercury vapor lamp in 1948.Holography has information capacity big, reproduction image
The advantages of being 3 D stereo, but at the same time its zero-order image of this in-oline holography is also coaxial with the reproduction image of original field, from
And make reproduction image Quality Down.For this profit this et al. propose off-axis gaussian beam and overcome impact of the zero-order image to reproduction image, but from
The holographic requirement to hologram recording beam path, environmental vibration and recording medium of axle is higher.
In recent years, with the development of computer and high resolution CCD, Digital Holography and its application are subject to extensive
Concern.Digital hologram is to replace photographic plate recording hologram with optoelectronic sensor (such as CCD or CMOS), is then stored in hologram
Computer, is realized being recorded the reconstruction of hologram and the process of object with computer simulated optical diffraction process.Digital hologram and biography
System optical holographic is compared with low manufacture cost, and image taking speed is fast, the advantages of recording and reproduce flexible.But with conventional coaxial light
Learn holography to be similar to, the reproduction image of coaxial digital holography art is similarly subjected to the impact of zero-order image.
Coaxial digital holography art mainly using the phase-shifting technique proposed by Yamaguchi to eliminate reproduction image in zero-order image
Affect, wherein conventional four-step phase-shifting holography.But because air, vibrations etc. affect that phase-shifter will be made to produce after phase shift
Random error, each step all produces error, and four-step phase-shifting will have adverse effect on to result.
The content of the invention
The present invention seeks to solving traditional multistep phase shift has larger error thus by asking for having a negative impact to result
Topic, proposes a kind of digital hologram method that zero-order image is eliminated by a step fixed angles phase shift.
The inventive method completes the shooting of several holograms so as to eliminate the impact of zero-order image by a step fixed angles phase shift,
The harmful effect that multistep phase shift is produced to reproduction image is efficiently reduced, while reducing experimental procedure, the time is shortened, this
It is bright to have devised a kind of rectangle two reference beams experiment light path, change the phase of two beam reference lights simultaneously by adjusting fine motion translation stage
Position, and phase-shift phase is kept for opposite number, two reference beams composition interference device can accurately measure actual phase-shift phase, while to phase
Move device to be fed back, it is ensured that the precision of fixed angles phase shift.Propose an a kind of step fixed angles phase shift based on the test light path to disappear
Zero level method.And the method can be used in off-axis gaussian beam and in-line holographic.
The method that digital hologram zero-order image is eliminated by a step fixed angles phase shift that the present invention is provided, the concrete step of the method
It is rapid as follows：
1st, reference light is divided into by two beams by beam splitter, using three speculums through reflecting to form rectangle light path.
2nd, a fine motion translation stage, the direction of displacement of fine motion translation stage and the optical path direction weight are placed in rectangle light path
Close, be provided with fine motion translation stage back to reflected in parallel microscope group, two speculums in the speculum group mutually back to and it is parallel,
Speculum is mutually perpendicular to light path, realizes two reference beams backtracking.
3rd, the mesh for adjusting two reference beams phase place simultaneously is reached back to reflected in parallel microscope group by the movement of fine motion translation stage
, phase changing capacity makes the distance of two-way reference light to record plane identical conversely, adjusting translation stage each other, and two reference lights
Angle between the direction of propagation and the direction of propagation of object light is consistent.The initial phase for remembering two reference lights isThis
When write down two-way reference light and be concerned with the hologram of generation：
Wherein,WithThe respectively amplitude of two beam reference lights；
4th, it is concerned with this two beams reference light and object light respectively, two width holograms can be obtained.Wherein AoIt is object light
Amplitude,It is the phase place of object light.
5th, mobile Double sided mirror, makes the position difference that π is produced between two beam reference lights.Then between object light and two beam reference lights
Position differsWithNow between two beam reference lights, can be formed between object light and two beam reference lights
Three width holograms.
Due to the presence of phase-shifter itself error and ambient influnence so that the phase-shift phase of Double sided mirror can not possibly be strictly
The interference pattern of two reference lights before and after by gathering phase shift, you can be calculated actual phase-shift phase, the phase-shift phase is fed back to phase
Moving device can be modified to the actual phase shift amount of phase-shifter so that phase-shift phase isSo as to overcome ectocine, phase shift essence is improved
Degree；
6th thus the complex amplitude of object light be represented by：
Advantages of the present invention and good effect：
Present invention firstly provides a kind of linkage two reference beams rectangle light path, is carried in flat on fine motion translation stage in light path
Row can be when fine motion translation stage carries out displacement back to speculum group, it is ensured that the phase-shift phase of two beam reference lights opposite number each other, double
Reference light constitutes interference device, actual phase-shift phase is can accurately measure, while feeding back to phase-shifter, it is ensured that fixed angles phase shift
Precision.This characteristic can make some Digital Holographies more simple and easy to do.
On the basis of the characteristics of optical path, supporting algorithm is proposed, by existing phase shift zero suppression level Digital Holography by multistep
Suddenly a step phase shift is improved to, it is thus eliminated that the error that multi-step causes, reduces fixed step size or unique step phase shift to phase shift
The necessary high-precision requirement of device, and make that phase-shifting technique is easier, operability is higher, and also the present invention is not only suitable for coaxially
Holography, is also applied for off-axis gaussian beam.
Description of the drawings：
Fig. 1 is the light path design figure of the present invention；
In figure, 1- LASER Light Sources, 2- expand device, 3- beam splitters, 4- speculums, 5- beam splitters, 6- speculums, 7- fine motions
Translation stage and fixed thereon two parallel back to speculum, 8- speculums, 9- speculums, 10-CCD, 11～13- shadow shields, 14-
Object under test；
Fig. 2 is the image of Nankai University's school badge, as object in simulated experiment；
Fig. 3 is the object light pattern of holographic experiment；
Fig. 4 is the interference pattern of two initial reference light in holographic experiment；
Fig. 5 is the interference pattern of initial reference light 1 and object light in holographic experiment；
Fig. 6 is the interference pattern of initial reference light 2 and object light in holographic experiment；
Fig. 7 is the interference pattern of dephased two reference light in holographic experiment
Fig. 8 is the interference pattern of dephased reference light 1 and object light in holographic experiment；
Fig. 9 is the interference pattern of dephased reference light 2 and object light in holographic experiment；
Figure 10 is the recovery pattern of object light；
Specific embodiment
Below in conjunction with the accompanying drawings the present invention is further described with MATLAB examples of simulation.
Light path design figure of the present invention refer to Fig. 1, and the present embodiment is can effectively to suppress zero-order image for transmission-type object
Off-axis digital holography method, after light source 1 is through expanding the beam-expanding collimation of device 2, through 3 points of beam splitter be object light and reference light,
Reference light is divided into two again after beam splitter 5, is defined as reference light one and reference light two.Thus, there are two beams in the light path
Reference light, places in the optical path the speculum (6,8 and 9) in 45 degree of 3 face, by reflecting to form rectangle light path, in rectangle light path
A fine motion translation stage 7 is placed, that what is placed on fine motion translation stage 7 reflects back to reflected in parallel microscope group, hidden by placing
Tabula rasa (11 or 12) makes reference light one or reference light two be interfered with object light respectively.
Embodiment 1：The digital hologram method of one step fixed angles phase shift zero suppression level
Firstth, object light is built by thing of Nankai's university signs in MATLAB.Rectangular coordinate system x- is set up in record plane
Y, with amplitude as 3V/m, the direction of propagation along x-axis parallel light irradiation Nankai University school badge, then transmitted light be object light, AoIt is thing
The amplitude of light,Be the position phase of object light, the wherein image of thing and object light as shown in Figures 2 and 3.
Secondth, build phase place opposite number each other, two directional lights that amplitude is not waited as reference light, wherein, reference light 1 shakes
Width AR1=1V/m, the amplitude A of reference light 2R2The angle of=2V/m, reference light 1 and reference light 2 and x-axisThe wavelength for arranging two beam reference lights is 800nm, and is rememberedThen two
The position of reference light is mutually
3rd, make two beam reference lights, reference light 1 and object light, reference light 2 and object light be concerned with respectively, only need in MATLAB
The complex amplitude of two-beam is added, then the result being added is carried out with abs orders delivery be obtained it is strong after two-beam is concerned with
Degree, the intensity difference according to formula (1), (2), (3), after two beam reference lights, reference light 1 and object light, reference light 2 and object light are relevant
For I1、I2And I3, then the intensity after being concerned with is converted into gray level image with mat2gray orders, respectively such as Fig. 4, Fig. 5, Fig. 6 institute
Show.
4th, the position of two beam reference lights mutually changed respectivelyRise and adjust fine motion translation stage, make back to reflected in parallel microscope group
ProducePhase change effect, then the phase place of reference light 1 be
Position difference change i.e. between two beam reference lights turns to π, is made after phase shift between two beam reference lights by cutting the method for light, dephased
Interfered between reference light 1 and object light, between dephased reference light 2 and object light, according to formula (4), (5), (6), correspondence
It is relevant after intensity be I4、I5And I6, then the intensity after being concerned with is converted into gray level image with mat2gray orders, respectively such as
Shown in Fig. 7, Fig. 8, Fig. 9.
5th, according to the recovery formula (7) of object light, the recovery figure of object light is obtained, as shown in Figure 10.
Therefore, validity of the transposition in holographic zero suppression level by experimental verification.Also demonstrate simultaneously, the experiment
The reasonability of supporting algorithm.
Claims (1)
1. a kind of method for eliminating digital hologram zero-order image by a step fixed angles phase shift, the method is comprised the following steps that：
1st, reference light is divided into by two beams by beam splitter, using three speculums through reflecting to form rectangle light path；
2nd, a fine motion translation stage is placed in rectangle light path, the direction of displacement of fine motion translation stage overlaps with the optical path direction, micro-
Be provided with dynamic translation stage back to reflected in parallel microscope group, two speculums in the speculum group mutually back to and it is parallel, reflection
Mirror is mutually perpendicular to light path, realizes two reference beams backtracking；
3rd, the purpose for adjusting two reference beams phase place simultaneously, phase are reached back to reflected in parallel microscope group by the movement of fine motion translation stage
Position variable quantity makes the distance of two-way reference light to record plane identical conversely, adjusting translation stage each other, and the propagation of two reference lights
Angle between direction and the direction of propagation of object light is consistent, and the initial phase for remembering two reference lights isNow remember
Lower two-way reference light is concerned with the hologram of generation：
Wherein,WithThe respectively amplitude of two beam reference lights；
4th, by cutting light, two beam reference lights can interfere respectively with object light, obtain two width holograms, wherein AoIt is the amplitude of object light,It is the phase place of object light；
5th, mobile Double sided mirror, makes the position difference that π is produced between two beam reference lights, then the position phase between object light and two beam reference lights
Difference isWithNow between two beam reference lights, three width can be formed between object light and two beam reference lights complete
Breath figure：
Due to the presence of phase-shifter itself error and ambient influnence so that the phase-shift phase of Double sided mirror can not possibly be strictlyBy adopting
The interference pattern of two reference lights, i.e., can be calculated actual phase-shift phase before and after collection phase shift, and the phase-shift phase is fed back to phase-shifter
The actual phase shift amount of phase-shifter can be modified so that phase-shift phase isSo as to overcome ectocine, phase shift essence is improved
Degree；
6th, the Complex Amplitude of object light is：
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105338218B (en) * | 2015-11-13 | 2019-07-16 | 福建师范大学 | A kind of the zero-order image suppressing method and its circuit of digital hologram |
| CN105404129B (en) * | 2015-12-18 | 2017-12-05 | 南开大学 | The method that any phase shift of three steps based on inner product algorithm eliminates digital hologram zero-order image |
| CN105467609B (en) * | 2016-01-15 | 2017-12-15 | 南开大学 | A kind of the reference light beam-splitting method and its special purpose device of the spatially angular multiplexing holography based on Wollaston prism |
| CN105700322B (en) * | 2016-04-29 | 2018-05-04 | 南开大学 | A kind of method that off-axis code multiplexed holograms zero-order image is eliminated based on iterative numerical |
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| US20070127099A1 (en) * | 2003-09-24 | 2007-06-07 | Tdk Corporation | Holographic recording method, apparatus therefor, and holographic recording and reproducing apparatus |
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| CN103955126A (en) * | 2014-05-16 | 2014-07-30 | 北京大学 | Digital holograph collecting and processing method based on phase shift interference |
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Patent Citations (5)
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| CN1373397A (en) * | 2001-02-28 | 2002-10-09 | 南开大学 | One-step method for making bulk holographic element without astigmation |
| US20070127099A1 (en) * | 2003-09-24 | 2007-06-07 | Tdk Corporation | Holographic recording method, apparatus therefor, and holographic recording and reproducing apparatus |
| JP2009104138A (en) * | 2007-10-23 | 2009-05-14 | Thomson Licensing | Holographic storage system |
| CN102944989A (en) * | 2012-10-23 | 2013-02-27 | 深圳大学 | Phase-shift digital holographic high-speed imaging method and system |
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