CN107886551A - The optical image encryption method of bicylindrical random phase encoding - Google Patents
The optical image encryption method of bicylindrical random phase encoding Download PDFInfo
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- CN107886551A CN107886551A CN201711110002.6A CN201711110002A CN107886551A CN 107886551 A CN107886551 A CN 107886551A CN 201711110002 A CN201711110002 A CN 201711110002A CN 107886551 A CN107886551 A CN 107886551A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T9/00—Image coding
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F21/60—Protecting data
- G06F21/602—Providing cryptographic facilities or services
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Abstract
The present invention proposes a kind of optical image encryption method of bicylindrical random phase encoding.This method includes optical image encryption process and decrypting process.Methods described is simply improved the Double random phase encryption technology of classics, plane phase plate is replaced using cylinder phase-plate, two secondary reflection relay type column face diffraction replace endless relay planar diffraction twice, utilize two secondary reflection relay type column face diffraction process and the asymmetry of reverse process, the security of encryption method can be greatly enhanced, can particularly resist the attack of phase recovery method.Using conjugate phase plate during encryption and correct cylinder diffraction system parameter during decryption, reversible diffraction is carried out, can correctly be decrypted.
Description
Technical field
The present invention relates to a kind of information security and information optical technical field, particularly optical image encryption method.
Background technology
The application study of Double random phase technology and optical interference theory in image encryption is that optics is believed in recent years
Cease the hot subject in security study field.Two experts of P. R é fr é gier and B. Javidi in the U.S. in 1995 propose
Double random phase technology be great utilization of the optical theory in information security field, the technology has obtained United States Patent (USP) guarantor
Shield.But there is this linear property, the security of system great hidden danger be present due to the system.Asymmet-ric encryption method is
The new focus that optical image encryption recent years field occurs, such encryption method have the energy of resistance phase recovery method attack
Power.Because the holographic propagation model from inside to outside of cylinder calculating and ecto-entad propagation model are considered as asymmetrical diffraction
Process, cylinder diffraction process have great potentiality and advantage in optical image encryption field as asymmetric encryption.
The content of the invention
The present invention is directed to the encryption technology of above-mentioned Double random phase due to encryption system safety caused by linear behavio(u)r
Hidden danger, proposes a kind of optical image encryption method of bicylindrical random phase encoding, and this method can be effective against phase recovery
The attack of method.This method is simply improved the Double random phase encryption technology of classics, uses cylinder phase-plate
Instead of plane phase plate, two secondary reflection relay type column face diffraction replace endless relay planar diffraction twice, utilize two secondary reflection relays
The asymmetry of cylinder diffraction process and reverse process, the security of encryption method can be greatly enhanced, can particularly resist phase
The attack of bit recovery method.The present invention includes two processes of optical encryption and decryption.
Optical encryption process of the present invention is as shown in figure 1, including a nucleus module --- A bicylindrical random phases
Coding module, three companion modules --- B, calculate processing and display module, C, laser lighting light source and refer to optical module, D, entirely
Breath imaging acquisition module.
Bicylindrical random phase encoding module of the present invention is by two secondary reflection relay type column face diffraction and is located at respectively
The bicylindrical random phase plate composition of input face and first reflective cylinder, including following two steps：
AE1, gray level image to be encrypted by laser lighting be converted into Object light wave (u 0), first by positioned at first internal reflection post
Face first cylinder random phase plate (M 1) coding, result is designated as after reflectionu 1, it is by once distanced 1, ecto-entad pass
The cylinder diffraction of model is broadcast, reaches another external reflectance cylinder, its wavefront is designated asu 2, specific calculating process is expressed as：
, (1)
WhereinR 1For random phase matrix,iFor imaginary unit, * represents conjugation, i.e. reflection process.FrOIP(.) represent by extroversion
The cylinder diffraction of interior propagation model, calculation formula are：
(2)
Wherein (θ R , z R ) and (θ r , z r ) for the angle and short transverse coordinate of internal reflection cylinder and external reflectance cylinder,r、RTo be interior
The radius of outer cylinder,CFor constant,dDistance between 2 points of meaning of taking up an official post for interior outer cylinder.
Before AE2, diffracted waveu 2By positioned at second external reflectance cylinder second cylinder random phase plate (M 2) coding, instead
Light field after penetrating is designated asu 3, it is by once distanced 2, propagation model from inside to outside cylinder diffraction, reach another cylinder note
Record face, its wavefront are designated asu 4, calculate detailed process and be expressed as：
(3)
WhereinR 2For random phase matrix,FrIOP(.) the cylinder diffraction of propagation model from inside to outside is represented, calculation formula is：
。 (4)
Three companion modules of the present invention are respectively：
B, processing and display module are calculated, is made up of computer 114 and display 115.
C, laser lighting light source is with referring to optical module, by 101 in Fig. 1：Laser, 102：Laser beam expanding lens, 103：Thoroughly
Mirror L1,104：Plane mirror M1,105：Amici prism BS1,106：Phase shift half-wave plate PZT, 107：Amici prism BS2,108：
Plane mirror M2 is formed, and provides lighting source and reference light for core encoder module, reference light is carried by phase shift half-wave plate PZT
For two kinds of reference lights that phase change is pi/2R 0WithR 1。
D, holographic imaging acquisition module, it is made up of photo-detector CCD113, diffraction light wave and 2 kinds of reference light shapes can be obtained
Into interference fringe amplitude, i.e. hologram ciphertextH 1WithH 2, its computational methods is：H 1=|R 0+u 4|2,H 2=|R 1+u 4|2。
Decrypting process of the present invention includes：
AD1, light fieldu 4Process of reconstruction, as a result foru 4'.Detailed process is：First calculate zero order light during interferenceI 0, specific meter
Calculating formula is：
, (5)
And meet condition 2R 1≧ max (|u 4|) + min (|u 4|), then the light field rebuildu 4' be：
。 (6)
AD2. imageu 0Decrypting process, as a result foru 0'.Detailed process is：The light field of reconstructionu 4' pass throughFrIOP(.) inverse spread out
Penetrate processIFrIOP(.), and by conjugate phase plateM 2* encode, then pass throughFrOIP(.) inverse diffraction processIFrOIP(.), and
By conjugate phase plateM 1* encode, form the image of decryptionu 0', its calculating process is：
。 (7)
The beneficial effects of the present invention are：Possess the good anti-attack ability of asymmetric encipherment system, resist phase recovery method
This special attack effect is particularly evident, and key number is more and sensitiveness is strong, and key space is big, and security is good.
4th, illustrate
Accompanying drawing 1 realizes schematic diagram for the system of the optical image encryption method of the bicylindrical random phase encoding of the present invention.
Encryption and decryption flow chart of the accompanying drawing 2 for the present invention.
Accompanying drawing 3 (a) artwork to be encrypted " Ruler " (512 × 512)；(b) hologram ciphertextH 1；(c) hologram is close
TextH 2；(d) image of decryption.
Shown by reference numeral in above-mentioned accompanying drawing is：
101：Laser, 102：Laser beam expanding lens, 103：Lens L1,104：Plane mirror M1,105：Amici prism BS1,
106：Phase shift half-wave plate PZT, 107：Amici prism BS2,108：Plane mirror M2,109：Inner prop surface reflector, 110：At random
Phase-plate mask RPM1,111：Random phase plate mask RPM2,112：Column jacket surface reflector, 113：Photo-detector CCD, 114：Meter
Calculation machine, 115：Display.
Note：Above-mentioned accompanying drawing is simply schematical, is not drawn to draw.
5th, embodiment
Implement the following detailed description of an a kind of typical case of optical image encryption method of bicylindrical random phase encoding of the present invention
Example, the present invention is further described specifically.It is necessarily pointed out that following examples be served only for the present invention do into
The explanation of one step, it is impossible to be interpreted as limiting the scope of the invention, skilled person is according to the invention described above for the art
Content makes some nonessential modifications and adaptations to the present invention, still falls within protection scope of the present invention.
The present invention proposes a kind of optical image encryption method of bicylindrical random phase encoding, and this method includes optical encryption
With two processes of decryption.
The present embodiment is by calculating processing and display module, laser lighting light source and reference optical module, double random cylinder phases
Plate encrypting module, holographic imaging acquisition module are formed and realized, as shown in accompanying drawing 1, including：101：Laser, 102：Laser expands
Shu Jing, 103：Lens L1,104：Plane mirror M1,105：Amici prism BS1,106：Phase shift half-wave plate PZT, 107：It is divided rib
Mirror BS2,108：Plane mirror M2,109：Inner prop surface reflector, 110：Random phase plate mask RPM1,111：Random phase plate
Mask RPM2,112：Column jacket surface reflector, 113：Photo-detector CCD, 114：Computer, 115：Display.Optics 101-
108 composition laser lighting light sources are with referring to optical module.Described device and optical element puts in order as shown in figure 1, Object light wave
Optical path difference with reference light should be equal, and the angle of inclination of cylindrical mirror should be equal to the one of the angle of cylindrical mirror 7 and 10
Half, to ensure that the incident beam of cylindrical mirror 7 is parallel with the reflected beams of cylindrical mirror 10.
In the example of the present invention, parameterH, r, R1, R2 be respectively set as 5,1,60,65mm.Wavelength X is 842nm.Vertical axis
To hits be 512, the sampling interval is then 5/512 mm.Circumference axial direction only takes the cylinder of 2 π/30, and sampling number is also 512,
Sampling interval is then 2 π/(30*512).
Bicylindrical random phase encoding module of the present invention is nucleus module, by two secondary reflection relay type column face diffraction and
Respectively positioned at input face and the bicylindrical random phase plate composition of first reflective cylinder, including following two steps, such as Fig. 2
（a）It is shown：
AE1, gray level image to be encrypted by laser lighting be converted into Object light wave (u 0), as shown in Fig. 3 (a), first by positioned at
First internal reflection cylinder first cylinder random phase plate (M 1) coding, result is designated as after reflectionu 1, it is by once distanced 1, ecto-entad propagation model cylinder diffraction, reach another external reflectance cylinder, its wavefront is designated asu 2, specific calculating process table
It is shown as：
, (1)
WhereinR 1For random phase matrix,iFor imaginary unit, * represents conjugation, i.e. reflection process.FrOIP(.) represent by extroversion
The cylinder diffraction of interior propagation model, calculation formula are：
(2)
Wherein (θ R , z R ) and (θ r , z r ) for the angle and short transverse coordinate of internal reflection cylinder and external reflectance cylinder,r、RTo be interior
The radius of outer cylinder,CFor constant,dDistance between 2 points of meaning of taking up an official post for interior outer cylinder.
Before AE2, diffracted waveu 2By positioned at second external reflectance cylinder second cylinder random phase plate (M 2) coding, instead
Light field after penetrating is designated asu 3, it is by once distanced 2, propagation model from inside to outside cylinder diffraction, reach another cylinder note
Record face, its wavefront are designated asu 4, calculate detailed process and be expressed as：
(3)
WhereinR 2For random phase matrix,FrIOP(.) the cylinder diffraction of propagation model from inside to outside is represented, calculation formula is：
。 (4)
Three companion modules of the present invention are respectively：
B, processing and display module are calculated, is made up of computer 114 and display 115.
C, laser lighting light source is with referring to optical module, by 101 in Fig. 1：Laser, 102：Laser beam expanding lens, 103：Thoroughly
Mirror L1,104：Plane mirror M1,105：Amici prism BS1,106：Phase shift half-wave plate PZT, 107：Amici prism BS2,108：
Plane mirror M2 is formed, and provides lighting source and reference light for core encoder module, reference light is carried by phase shift half-wave plate PZT
For two kinds of reference lights that phase change is pi/2R 0WithR 1。
D, holographic imaging acquisition module, it is made up of photo-detector CCD113, diffraction light wave and 2 kinds of reference light shapes can be obtained
Into interference fringe amplitude, i.e. hologram ciphertextH 1WithH 2, its computational methods is：H 1=|R 0+u 4|2,H 2=|R 1+u 4|2, its result
Such as Fig. 3（b）With（c）It is shown.
Decrypting process of the present invention such as Fig. 2（b）It is shown, including：
AD1, light fieldu 4Process of reconstruction, as a result foru 4'.Detailed process is：First calculate zero order light during interferenceI 0, specific meter
Calculating formula is：
, (5)
And meet condition 2R 1≧ max (|u 4|) + min (|u 4|), then the light field rebuildu 4' be：
。 (6)
AD2, imageu 0Decrypting process, as a result foru 0'.Detailed process is：The light field of reconstructionu 4' pass throughFrIOP(.) inverse spread out
Penetrate processIFrIOP(.), and by conjugate phase plateM 2* encode, then pass throughFrOIP(.) inverse diffraction processIFrOIP(.), and
By conjugate phase plateM 1* encode, form the image of decryptionu 0', its calculating process is：
。 (7)
Obtained encryption figure such as Fig. 3 (d).Only in random phase plate informationM 1WithM 2, and the parameter of cylinder encryption system（It is high
Degree, internal diameter and external diameter）In the case of key is correct, the correct decrypted result as shown in Fig. 3 (d) can be just accessed.
Claims (5)
- A kind of 1. optical image encryption method of bicylindrical random phase encoding, it is characterised in that methods described adds including optics Close and two processes of decryption.
- 2. the optical image encryption method of bicylindrical random phase encoding according to claim 1, described optical encryption Process includes a nucleus module --- bicylindrical random phase encoding module, three companion modules --- calculate processing and display Module, laser lighting light source is with referring to optical module, holographic imaging acquisition module.
- 3. the optical image encryption method of bicylindrical random phase encoding according to claim 1, described optical encryption Process, described bicylindrical random phase encoding module be, by two secondary reflection relay type column face diffraction and respectively positioned at input face and The bicylindrical random phase plate composition of first reflective cylinder, including following two steps：Gray level image to be encrypted is through too drastic Optical illumination be converted into Object light wave (u 0), first by positioned at first internal reflection cylinder first cylinder random phase plate (M 1) compile Code, result is designated as after reflectionu 1, it is by once distanced 1, ecto-entad propagation model cylinder diffraction, it is outer anti-to reach another Cylinder is penetrated, its wavefront is designated asu 2, specific calculating process is expressed as：, whereinR 1For random phase square Battle array,iFor imaginary unit, * represents conjugation, i.e. reflection process,FrOIP(.) represent ecto-entad propagation model cylinder diffraction, meter Calculating formula is,Wherein (θ R , z R ) and (θ r , z r ) for the angle and short transverse coordinate of internal reflection cylinder and external reflectance cylinder,r、RTo be interior The radius of outer cylinder,CFor constant,dDistance between 2 points of meaning of taking up an official post for interior outer cylinder；Before diffracted waveu 2By anti-outside second Penetrate cylinder second cylinder random phase plate (M 2) encode, the light field after reflection is designated asu 3, it is by once distanced 2, by interior The cylinder diffraction of outside propagation model, reaches another cylinder recording surface, its wavefront is designated asu 4, calculate detailed process and be expressed as：, whereinR 2For random phase matrix,FrIOP(.) the cylinder diffraction of propagation model from inside to outside is represented, calculation formula is：。
- 4. the optical image encryption method of bicylindrical random phase encoding according to claim 1, described optical encryption Process, described three companion modules are respectively：Processing and display module are calculated, is made up of computer and display；Laser shines Mingguang City source is with referring to optical module, laser, laser beam expanding lens, lens L1, plane mirror M1, Amici prism BS1, phase shift half-wave Piece PZT, Amici prism BS2, plane mirror M2 compositions, lighting source and reference light, reference light are provided for core encoder module Two kinds of reference lights that phase change is pi/2 are provided by phase shift half-wave plate PZTR 0WithR 1；Holographic imaging acquisition module, by optical detection Device CCD is formed, and can obtain the interference fringe amplitude that diffraction light wave and 2 kinds of reference lights are formed, i.e. hologram ciphertextH 1WithH 2, its Computational methods are：H 1=|R 0+u 4|2,H 2=|R 1+u 4|2。
- 5. the optical image encryption method of bicylindrical random phase encoding according to claim 1, described decrypting process Including：Light fieldu 4Process of reconstruction, as a result foru 4', detailed process is first to calculate zero order light during interferenceI 0, it is specific to calculate public affairs Formula is：, and meet Condition 2R 1 ≧ max (|u 4|) + min (|u 4|), then the light field rebuildu 4' be：；Imageu 0Decrypting process, as a result foru 0', detailed process It is the light field of reconstructionu 4' pass throughFrIOP(.) inverse diffraction processIFrIOP(.), and by conjugate phase plateM 2* encode, Ran Houjing CrossFrOIP(.) inverse diffraction processIFrOIP(.), and by conjugate phase plateM 1* encode, form the image of decryptionu 0', it is calculated Process is：。
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Cited By (6)
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| CN108596989A (en) * | 2018-04-28 | 2018-09-28 | 四川大学 | A kind of optical image encryption method based on detour cylinder diffraction and compressed sensing |
| CN109451198A (en) * | 2018-10-18 | 2019-03-08 | 四川大学 | A kind of image encryption method based on cylinder diffraction and principle of interference |
| CN110210235A (en) * | 2019-05-24 | 2019-09-06 | 四川大学 | A kind of asymmetric more image encryption methods based on cylinder diffraction and phase truncation |
| WO2019218243A1 (en) * | 2018-05-16 | 2019-11-21 | 深圳大学 | Method and device for constructing deep neural network model |
| CN111897196A (en) * | 2020-08-13 | 2020-11-06 | 中国科学院大学 | Method and system for hiding and extracting digital holographic information |
| CN111897197A (en) * | 2020-08-18 | 2020-11-06 | 四川大学 | Fourier phase hologram generation method based on double-phase encoding |
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Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108596989A (en) * | 2018-04-28 | 2018-09-28 | 四川大学 | A kind of optical image encryption method based on detour cylinder diffraction and compressed sensing |
| CN108596989B (en) * | 2018-04-28 | 2019-03-08 | 四川大学 | A kind of optical image encryption method based on detour cylinder diffraction and compressed sensing |
| WO2019218243A1 (en) * | 2018-05-16 | 2019-11-21 | 深圳大学 | Method and device for constructing deep neural network model |
| CN109451198A (en) * | 2018-10-18 | 2019-03-08 | 四川大学 | A kind of image encryption method based on cylinder diffraction and principle of interference |
| CN109451198B (en) * | 2018-10-18 | 2019-07-02 | 四川大学 | A kind of image encryption method based on cylinder diffraction and principle of interference |
| CN110210235A (en) * | 2019-05-24 | 2019-09-06 | 四川大学 | A kind of asymmetric more image encryption methods based on cylinder diffraction and phase truncation |
| CN110210235B (en) * | 2019-05-24 | 2022-10-21 | 四川大学 | Asymmetric multi-image encryption method based on cylindrical diffraction and phase truncation |
| CN111897196A (en) * | 2020-08-13 | 2020-11-06 | 中国科学院大学 | Method and system for hiding and extracting digital holographic information |
| CN111897197A (en) * | 2020-08-18 | 2020-11-06 | 四川大学 | Fourier phase hologram generation method based on double-phase encoding |
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