CN113918962A - Optical information security system based on foveological duplex optical key - Google Patents

Optical information security system based on foveological duplex optical key Download PDF

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CN113918962A
CN113918962A CN202111040849.8A CN202111040849A CN113918962A CN 113918962 A CN113918962 A CN 113918962A CN 202111040849 A CN202111040849 A CN 202111040849A CN 113918962 A CN113918962 A CN 113918962A
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CN113918962B (en
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常军
纪钟晔
宋大林
黄翼
谢冰清
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Beijing Institute of Technology BIT
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Abstract

本发明提供了一种基于小凹二重光学秘钥的光学信息安全系统,包括光学信息加密模块和光学信息解密模块。光学信息加密模块中,第一加密空间光调制器在需要加密的成像区域生成小凹区,第二加密空间光调制器经由小凹区的作用进行二次加密,可实现对图像信息的局部及二重加密,提高了系统的灵活性、实时性及安全性。本发明拥有自己的成像光学模块,摆脱了当前技术对于平行光束的依赖,增加了实用性。同时,局部加密的方式,也有利于提高系统的实时性。本发明通过空间光调制器的作用引入了小凹区实现了图像信息的加密,由于小凹区的位置和模式可控,故本发明系统具有很大的密钥空间,可实现一次一密,以达到更高的安全性。

Figure 202111040849

The invention provides an optical information security system based on a concave double optical secret key, which includes an optical information encryption module and an optical information decryption module. In the optical information encryption module, the first encrypted spatial light modulator generates a small concave area in the imaging area that needs to be encrypted, and the second encrypted spatial light modulator performs secondary encryption through the action of the small concave area, which can realize the local and Double encryption improves the flexibility, real-time and security of the system. The present invention has its own imaging optical module, gets rid of the current technology's dependence on parallel light beams, and increases practicability. At the same time, the local encryption method is also beneficial to improve the real-time performance of the system. The invention introduces the small concave area through the function of the spatial light modulator to realize the encryption of image information. Since the position and mode of the small concave area are controllable, the system of the present invention has a large key space, and can realize one-time-one padding, to achieve higher security.

Figure 202111040849

Description

一种基于小凹二重光学秘钥的光学信息安全系统An optical information security system based on concave double optical key

技术领域technical field

本发明涉及光学仪器技术领域,具体涉及一种基于小凹二重光学秘钥的光学信息安全系统。The invention relates to the technical field of optical instruments, in particular to an optical information security system based on a concave double optical key.

背景技术Background technique

近年来,基于光学理论与方法的数据加密及信息隐藏技术是在国际上起步发展的新一代信息安全技术,采用该种技术的光学仪器被称为光学信息安全系统。In recent years, data encryption and information hiding technology based on optical theory and methods is a new generation of information security technology developed internationally. Optical instruments using this technology are called optical information security systems.

然而,目前的光学信息安全系统基本都以平行光束为信息载体,先要通过平行光束对事先生成的所要加密的图像进行照射,从而使平行光束携带有需要加密的明文信息,再利用光学加密系统对该部分平行光束携带的明文信息进行处理得到密文,导致光学成像系统无法直接成为光学信息安全系统的组成成分,极大影响了光学信息安全系统的实用性。同时,当前绝大多数的光学信息安全系统是对一整幅图像进行加密,这对于结合了数字计算的光学信息安全系统而言,无疑增加了其对计算机算力资源的需求,降低了系统的实时性。而对于剩余的少数可实现局部加密的光学信息安全系统,虽然其降低了系统的带宽要求,提高了系统的实时性,却也存在着局部加密区的面积、位置固定,数量单一,无法根据实际的加密需求,对同一幅图像中分布在不同区域、不同数量、不同面积的敏感信息进行并行加密的问题。However, the current optical information security systems basically use parallel light beams as the information carrier. First, the pre-generated images to be encrypted must be irradiated by the parallel light beams, so that the parallel light beams carry the plaintext information that needs to be encrypted, and then use the optical encryption system. The ciphertext is obtained by processing the plaintext information carried by this part of the parallel light beam, so that the optical imaging system cannot directly become a component of the optical information security system, which greatly affects the practicability of the optical information security system. At the same time, most of the current optical information security systems encrypt an entire image, which undoubtedly increases the demand for computer computing resources for optical information security systems that combine digital computing, and reduces the system's real-time. For the remaining few optical information security systems that can realize local encryption, although they reduce the bandwidth requirements of the system and improve the real-time performance of the system, there are also local encryption areas with fixed area, fixed location, and a single number, which cannot be based on actual conditions. The problem of parallel encryption of sensitive information distributed in different areas, different quantities, and different areas in the same image.

因此,目前亟需一种可以实现局部图像的二重加密的光学信息安全系统,能够在保证系统实时性和实用性的前提下,满足在同一幅图像中分布在不同区域、不同数量、不同面积的敏感信息进行并行加密的要求。Therefore, there is an urgent need for an optical information security system that can realize double encryption of local images, which can satisfy the requirements of being distributed in different areas, different numbers, and different areas in the same image under the premise of ensuring the real-time performance and practicability of the system. requirements for parallel encryption of sensitive information.

发明内容SUMMARY OF THE INVENTION

有鉴于此,本发明提供了一种基于小凹二重光学秘钥的光学信息安全系统,能够实现局部图像的二重加密,且不需要平行光束作为待加密图像的信息载体。In view of this, the present invention provides an optical information security system based on a concave double optical key, which can realize double encryption of partial images, and does not require parallel light beams as the information carrier of the image to be encrypted.

为实现上述发明目的,本发明的技术方案为:In order to realize the above-mentioned purpose of the invention, the technical scheme of the present invention is:

一种基于小凹二重光学秘钥的光学信息安全系统,包括光学信息加密模块和光学信息解密模块。An optical information security system based on a concave double optical key, comprising an optical information encryption module and an optical information decryption module.

光学信息加密模块由成像光学模块、第一加密空间光调制器、第一中继模块、第二加密空间光调制器、第二中继模块和加密光电探测器同轴依次放置构成。The optical information encryption module is composed of an imaging optical module, a first encrypted spatial light modulator, a first relay module, a second encrypted spatial light modulator, a second relay module and an encrypted photodetector placed coaxially in sequence.

光学信息解密模块由准直光源、第一解密空间光调制器、第二解密空间光调制器和解密光电探测器同轴依次放置构成。The optical information decryption module is composed of a collimated light source, a first decryption spatial light modulator, a second decryption spatial light modulator and a decryption photodetector placed coaxially in sequence.

光学信息加密模块中,第一加密空间光调制器位于成像光学模块的像面位置,图像光束通过第一加密空间光调制器,设置第一空间光调制分布函数对特定区域的图像光束进行相位调制,在需要加密的成像区域生成小凹区;第一中继模块对第一加密空间光调制器的输出像进行二次成像;第二加密空间光调制器位于二次像面位置,加密后的图像光束通过第二加密空间光调制器,设置第二空间光调制分布函数对特定区域的图像光束进行相位调制,在需要加密的成像区域生成小凹区,经由小凹区的作用对需要加密的成像区域进行二次加密;第二中继模块对第二加密空间光调制器的输出像进行三次成像,并在加密光电探测器上形成最终像面;加密光电探测器与PC端连接,解密光电探测器与PC端连接。In the optical information encryption module, the first encrypted spatial light modulator is located at the image plane position of the imaging optical module, the image beam passes through the first encrypted spatial light modulator, and the first spatial light modulation distribution function is set to perform phase modulation on the image beam in a specific area. , generate a small concave area in the imaging area that needs to be encrypted; the first relay module performs secondary imaging on the output image of the first encrypted spatial light modulator; the second encrypted spatial light modulator is located at the position of the secondary image plane, and the encrypted The image beam passes through the second encrypted spatial light modulator, and the second spatial light modulation distribution function is set to perform phase modulation on the image beam in a specific area, and a small concave area is generated in the imaging area that needs to be encrypted. The imaging area is encrypted twice; the second relay module images the output image of the second encrypted spatial light modulator three times, and forms the final image surface on the encrypted photodetector; the encrypted photodetector is connected to the PC terminal to decrypt the photoelectric The detector is connected to the PC terminal.

PC端根据已知的第一空间光调制分布函数、第二空间光调制分布函数和小凹区的位置分布进行数学运算,得到综合加密秘钥并对其取逆,得到解密秘钥;第一解密空间光调制器用于强度调制,使照明光束成为待解密图像;第二解密空间光调制器用于加载解密秘钥,对待解密图像进行解密。The PC terminal performs mathematical operations according to the known first spatial light modulation distribution function, the second spatial light modulation distribution function and the position distribution of the small concave area to obtain the comprehensive encryption key and inverse it to obtain the decryption key; the first The decryption spatial light modulator is used for intensity modulation, so that the illumination beam becomes the image to be decrypted; the second decryption spatial light modulator is used to load the decryption key to decrypt the image to be decrypted.

光学信息解密模块中,准直光源提供照明光束,第一解密空间光调制器根据加密光电探测器上的强度分布情况对照明光束进行强度调制,第二解密空间光调制器根据解密秘钥对调制后的照明光束进行相位调制,解密光电探测器接收解密后的照明光束形成的待解密图像,解密过程中,第二解密空间光调制器上生成的小凹区位置分布与二次加密后的小凹区位置分布相同。In the optical information decryption module, the collimated light source provides the illumination beam, the first decryption spatial light modulator performs intensity modulation on the illumination beam according to the intensity distribution on the encrypted photodetector, and the second decryption spatial light modulator modulates the illumination beam according to the decryption key. The deciphered illumination beam is phase-modulated, and the deciphering photodetector receives the deciphered image formed by the deciphered illumination beam. During the deciphering process, the position distribution of the small concave area generated on the second deciphering spatial light modulator is the same as that of the secondary encrypted small concave area. The location distribution of the concave areas is the same.

进一步的,第一加密空间光调制器上的小凹区位置分布由第一空间光调制分布函数决定,第二加密空间光调制器上的小凹区位置分布由第二空间光调制分布函数决定。Further, the position distribution of the small concave areas on the first encrypted spatial light modulator is determined by the first spatial light modulation distribution function, and the position distribution of the small concave areas on the second encrypted spatial light modulator is determined by the second spatial light modulation distribution function. .

进一步的,加密光电探测器放置在光学加密模块的像面处,解密光电探测器放置在光学解密模块的像面处。Further, the encryption photodetector is placed at the image plane of the optical encryption module, and the decryption photodetector is placed at the image plane of the optical decryption module.

进一步的,第一中继模块和第二中继模块为中继成像透镜组。Further, the first relay module and the second relay module are relay imaging lens groups.

进一步的,基于小凹二重光学秘钥的光学信息安全系统不需要平行光束作为待加密图像的信息载体。Further, the optical information security system based on the concave double optical key does not require parallel light beams as the information carrier of the image to be encrypted.

进一步的,准直光源提供照明光束,照明光束经两个凸透镜扩大口径,入射到第一解密空间光调制器上。Further, the collimated light source provides an illuminating beam, and the illuminating beam is enlarged by the two convex lenses and incident on the first decrypting spatial light modulator.

有益效果:本发明提供了一种基于小凹二重光学秘钥的光学信息安全系统,包括光学信息加密模块和光学信息解密模块,用于一般成像光学系统的光学信息加密,提高了光学信息安全系统的实用性。光学信息加密模块中,第一加密空间光调制器在需要加密的成像区域生成小凹区,第二加密空间光调制器经由小凹区的作用进行二次加密,其中小凹技术的引入,可实现对图像信息的局部及二重加密,提高了系统的灵活性、实时性及安全性。光学信息加密模块拥有自己的成像光学模块,摆脱了当前光学信息安全系统对于平行光束的依赖,增加了实用性。同时,局部加密的方式,也有利于提高系统的实时性。本发明通过空间光调制器的作用引入了小凹区实现了图像信息的加密,由于小凹区的位置和模式可控,对不同光区的光进行不同的加密,故本发明系统具有很大的密钥空间,可实现一次一密,以达到更高的安全性。Beneficial effects: The present invention provides an optical information security system based on a concave double optical key, including an optical information encryption module and an optical information decryption module, which are used for optical information encryption of general imaging optical systems and improve optical information security. Usability of the system. In the optical information encryption module, the first encrypted spatial light modulator generates a small concave area in the imaging area that needs to be encrypted, and the second encrypted spatial light modulator performs secondary encryption through the action of the small concave area. The local and double encryption of image information is realized, which improves the flexibility, real-time and security of the system. The optical information encryption module has its own imaging optical module, which gets rid of the current optical information security system's dependence on parallel beams and increases its practicability. At the same time, the local encryption method is also beneficial to improve the real-time performance of the system. The invention introduces the small concave area through the function of the spatial light modulator to realize the encryption of image information. Since the position and mode of the small concave area are controllable, the light in different light areas is encrypted differently, so the system of the present invention has a large The key space can realize one-time pad to achieve higher security.

附图说明Description of drawings

图1为本发明系统结构示意图。FIG. 1 is a schematic diagram of the system structure of the present invention.

图2为光学信息加密系统结构示意图。FIG. 2 is a schematic structural diagram of an optical information encryption system.

图3为光学信息解密系统结构示意图。FIG. 3 is a schematic structural diagram of an optical information decryption system.

其中,1-成像光学模块,2-第一加密空间光调制器,3-第一中继模块,4-第二加密空间光调制器,5-第二中继模块,6-加密光电探测器,7-准直光源,8-第一解密空间光调制器,9-第二解密空间光调制器,10-解密光电探测器。Wherein, 1-imaging optical module, 2-first encrypted spatial light modulator, 3-first relay module, 4-second encrypted spatial light modulator, 5-second relay module, 6-encrypted photodetector , 7 - collimated light source, 8 - first decryption spatial light modulator, 9 - second decryption spatial light modulator, 10 - decryption photodetector.

具体实施方式Detailed ways

下面结合附图并举实施例,对本发明进行详细描述。The present invention will be described in detail below with reference to the accompanying drawings and embodiments.

如图1所示,本发明提供了一种基于小凹二重光学秘钥的光学信息安全系统,包括光学信息加密模块和光学信息解密模块,用于一般成像光学系统的光学信息加密,提高了光学信息安全系统的实用性。小凹技术的引入,可实现对图像信息的局部及二重加密,提高了系统的灵活性、实时性及安全性。As shown in FIG. 1, the present invention provides an optical information security system based on a concave double optical key, including an optical information encryption module and an optical information decryption module, which is used for optical information encryption of general imaging optical systems, and improves the Practicality of optical information security systems. The introduction of the concave technology can realize local and double encryption of image information, and improve the flexibility, real-time and security of the system.

如图2所示,光学信息加密模块由成像光学模块1、第一加密空间光调制器2、第一中继模块3、第二加密空间光调制器4、第二中继模块5和加密光电探测器6同轴依次放置构成。加密光电探测器6放置在光学加密模块的像面处。第一中继模块3和第二中继模块5为中继成像透镜组。As shown in Figure 2, the optical information encryption module consists of an imaging optical module 1, a first encrypted spatial light modulator 2, a first relay module 3, a second encrypted spatial light modulator 4, a second relay module 5 and an encrypted photoelectric The detectors 6 are arranged coaxially and sequentially. The encryption photodetector 6 is placed at the image plane of the optical encryption module. The first relay module 3 and the second relay module 5 are relay imaging lens groups.

成像光学模块1用于图像信息采集;第一加密空间光调制器2及第二加密空间光调制器4用于生成小凹区进行加密;第一中继模块3及第二中继模块5用于传递中间像;加密光电探测器6用于接收加密图像。The imaging optical module 1 is used for image information acquisition; the first encrypted spatial light modulator 2 and the second encrypted spatial light modulator 4 are used to generate small recessed areas for encryption; the first relay module 3 and the second relay module 5 are used for It is used to transmit the intermediate image; the encrypted photodetector 6 is used to receive the encrypted image.

第一加密空间光调制器2位于成像光学模块1的像面位置,图像光束通过第一加密空间光调制器2,设置第一空间光调制分布函数对特定区域的图像光束进行相位调制,在需要加密的成像区域生成小凹区;第一中继模块3对第一加密空间光调制器2的输出像进行二次成像;第二加密空间光调制器4位于二次像面位置,加密后的图像光束通过第二加密空间光调制器4,设置第二空间光调制分布函数对特定区域的图像光束进行相位调制,在需要加密的成像区域生成小凹区,经由小凹区的作用对需要加密的成像区域进行二次加密;第二中继模块5对第二加密空间光调制器4的输出像进行三次成像,并在加密光电探测器6上形成最终像面;加密光电探测器6与PC端连接,待解密图像由加密光电探测器6进行接收并传输到PC端。PC端有现有的光学驱动软件,控制空间光调制器的成像,根据图像的强度分布(即灰度分布),控制第一解密空间光调制器8的透过率,就可以令照明光束通过第一解密空间光调制器8后,强度分布与待解密图像一致。The first encrypted spatial light modulator 2 is located at the image plane position of the imaging optical module 1, the image beam passes through the first encrypted spatial light modulator 2, and the first spatial light modulation distribution function is set to perform phase modulation on the image beam in a specific area. The encrypted imaging area generates a small concave area; the first relay module 3 performs secondary imaging on the output image of the first encrypted spatial light modulator 2; the second encrypted spatial light modulator 4 is located at the position of the secondary image plane, and the encrypted The image beam passes through the second encryption spatial light modulator 4, and the second spatial light modulation distribution function is set to perform phase modulation on the image beam in a specific area, and a small concave area is generated in the imaging area that needs to be encrypted. The imaging area is encrypted twice; the second relay module 5 images the output image of the second encrypted spatial light modulator 4 three times, and forms the final image plane on the encrypted photodetector 6; the encrypted photodetector 6 and the PC The terminal is connected, and the image to be decrypted is received by the encrypted photodetector 6 and transmitted to the PC terminal. The PC has the existing optical driver software to control the imaging of the spatial light modulator, and control the transmittance of the first decrypted spatial light modulator 8 according to the intensity distribution of the image (that is, the grayscale distribution), so that the illumination beam can pass through. After the first decryption of the spatial light modulator 8, the intensity distribution is consistent with the image to be decrypted.

PC端根据已知的第一空间光调制分布函数、第二空间光调制分布函数和小凹区的位置分布进行数学运算,得到综合加密秘钥并对其取逆,得到解密秘钥并加载到第二解密空间光调制器9上。具体的数学运算方法为:将特定的小凹区位置代入对应的空间调制分布函数,生成相位图,将两幅相位图做卷积运算,得到综合加密秘钥。The PC terminal performs mathematical operations according to the known first spatial light modulation distribution function, the second spatial light modulation distribution function and the position distribution of the small concave area, obtains the comprehensive encryption key and inverts it, obtains the decryption key and loads it into on the second decrypted spatial light modulator 9 . The specific mathematical operation method is as follows: Substitute the position of a specific small concave area into the corresponding spatial modulation distribution function, generate a phase map, and perform a convolution operation on the two phase maps to obtain a comprehensive encryption key.

如图3所示,光学信息解密模块由准直光源7、第一解密空间光调制器8、第二解密空间光调制器9和解密光电探测器10同轴依次放置构成。准直光源7提供照明光束,PC端将加密光电探测器6上的强度分布加载到第一解密空间光调制器8上,使照明光束在经过第一解密空间光调制器8上时受到强度调制成为强度分布与光学信息加密模块最终像面强度分布一致的待解密图像。光学信息解密模块中,第一解密空间光调制器8根据加密光电探测器6上的强度分布对照明光束进行强度调制,第二解密空间光调制器9根据解密秘钥对调制后的照明光束进行相位调制,解密光电探测器10接收解密后的照明光束形成的图像,解密过程中,第二解密空间光调制器9上生成的小凹区位置分布与二次加密后的小凹区位置分布相同。As shown in FIG. 3 , the optical information decryption module is composed of a collimated light source 7 , a first decryption spatial light modulator 8 , a second decryption spatial light modulator 9 and a decryption photodetector 10 which are placed coaxially in sequence. The collimated light source 7 provides the illumination beam, and the PC terminal loads the intensity distribution on the encrypted photodetector 6 to the first decrypted spatial light modulator 8, so that the illumination beam is subjected to intensity modulation when passing through the first decrypted spatial light modulator 8 It becomes an image to be decrypted whose intensity distribution is consistent with the intensity distribution of the final image plane of the optical information encryption module. In the optical information decryption module, the first decryption spatial light modulator 8 performs intensity modulation on the illumination beam according to the intensity distribution on the encrypted photodetector 6, and the second decryption spatial light modulator 9 performs intensity modulation on the modulated illumination beam according to the decryption key. Phase modulation, decryption photodetector 10 receives the image formed by the decrypted illumination beam, during the decryption process, the position distribution of the small concave area generated on the second decrypted spatial light modulator 9 is the same as the position distribution of the small concave area after the secondary encryption .

本发明实施例中,第一加密空间光调制器2上的小凹区位置分布由第一空间光调制分布函数决定,第二加密空间光调制器4上的小凹区位置分布由第二空间光调制分布函数决定。In the embodiment of the present invention, the position distribution of the small concave areas on the first encrypted spatial light modulator 2 is determined by the first spatial light modulation distribution function, and the position distribution of the small concave areas on the second encrypted spatial light modulator 4 is determined by the second spatial light modulation distribution function. The light modulation distribution function is determined.

本发明系统的具体工作方式为:外界物体光线经过成像光学模块1后汇聚在放置在中间像位置的第一加密空间光调制器2上,第一加密空间光调制器2在需要加密的区域生成小凹区,引入像差对球面波波面进行调制,受调制球面波经由第一中继模块3进行二次成像,所成的二次像在第二加密空间光调制器4上,经由小凹区的作用,对图像实现二重局部加密,完成二重局部加密后,由第二中继模块5将发散的球面波再次汇聚到加密光电探测器6上,完成加密图像的获取过程。The specific working mode of the system of the present invention is as follows: the light from the external object passes through the imaging optical module 1 and then converges on the first encrypted spatial light modulator 2 placed at the intermediate image position, and the first encrypted spatial light modulator 2 generates the generated light in the area that needs to be encrypted. In the small concave area, aberration is introduced to modulate the spherical wave surface, and the modulated spherical wave is subjected to secondary imaging through the first relay module 3, and the formed secondary image is on the second encrypted spatial light modulator 4, through the small concave. After the double local encryption is completed, the second relay module 5 converges the diverging spherical wave on the encrypted photodetector 6 again to complete the acquisition process of the encrypted image.

由于在第一加密空间光调制器2与第二加密空间光调制器4上,对球面波进行调制时使用的加密密钥不同但调制过程相同,故此处原理部分只对第一加密空间光调制器2上的调制原理进行介绍。Since on the first encrypted spatial light modulator 2 and the second encrypted spatial light modulator 4, the encryption keys used to modulate the spherical wave are different but the modulation process is the same, so the principle part here only modulates the first encrypted spatial light. The modulation principle on device 2 is introduced.

本系统的加密过程为物面上的物点发出球面波经过成像光学模块1后,又以球面波的形式汇聚在一次像面上先成一次中间像。考虑到实际成像中含有像差,故此处为简化分析过程,将成像光学模块1等效成一个带像差的等效透镜,则其复振幅透过率为:The encryption process of this system is that after the spherical wave emitted by the object point on the object surface passes through the imaging optical module 1, it converges on the primary image surface in the form of spherical wave to form an intermediate image first. Considering that there are aberrations in actual imaging, in order to simplify the analysis process, the imaging optical module 1 is equivalent to an equivalent lens with aberrations, then its complex amplitude transmittance is:

Figure BDA0003249160310000071
Figure BDA0003249160310000071

其中,(ξ,η)为透镜所处的坐标系,P(ξ,η)为光瞳函数,f为等效透镜焦距,W(ξ,η)为成像光学模块1像差引入的相位延迟函数。Among them, (ξ,η) is the coordinate system where the lens is located, P(ξ,η) is the pupil function, f is the equivalent lens focal length, W(ξ,η) is the phase delay introduced by the aberration of the imaging optical module 1 function.

设物点所在坐标系为(x0,y0),物面上的复振幅分布函数为U0(x0,y0)且其距离等效透镜的距离为d0,设一次像面所在坐标系为(x1,y1),其上的复振幅分布函数为U1(x1,y1)且其距离等效透镜的距离为d1,利用菲涅尔衍射公式,建立U1(x1,y1)与U0(x0,y0)的对应关系,经过化简,可得到:The coordinate system where the object point is located is (x 0 , y 0 ), the complex amplitude distribution function on the object surface is U 0 (x 0 , y 0 ) and the distance from the equivalent lens is d 0 , and the primary image plane is The coordinate system is (x 1 , y 1 ), the complex amplitude distribution function on it is U 1 (x 1 , y 1 ) and the distance from the equivalent lens is d 1 . Using the Fresnel diffraction formula, U 1 is established The corresponding relationship between (x 1 , y 1 ) and U 0 (x 0 , y 0 ), after simplification, can be obtained:

Figure BDA0003249160310000072
Figure BDA0003249160310000072

其中,

Figure BDA0003249160310000073
为成像光学模块1等效透镜的放大倍数,h1(x1,y1)为
Figure BDA0003249160310000074
的傅里叶变换,即含像差成像光学模块1的脉冲响应函数。in,
Figure BDA0003249160310000073
is the magnification of the equivalent lens of the imaging optical module 1, h 1 (x 1 , y 1 ) is
Figure BDA0003249160310000074
The Fourier transform of , that is, the impulse response function of the imaging optical module 1 with aberration.

因此,经过含像差的成像光学模块1后,本系统一次像面上的光场分布等价于几何光学理想像与系统脉冲响应的卷积。系统自身所带像差的作用方式为将系统的光瞳函数转化成复数域内的光瞳函数,并最终以系统脉冲响应函数的方式实现对入射光场复振幅分布的调制。Therefore, after passing through the imaging optical module 1 with aberration, the light field distribution on the primary image plane of the system is equivalent to the convolution of the geometrical optics ideal image and the system impulse response. The function of the aberration of the system itself is to convert the pupil function of the system into a pupil function in the complex domain, and finally realize the modulation of the complex amplitude distribution of the incident light field by means of the system impulse response function.

由于本系统中所有的空间光调制器紧贴一次像面放置,故认为所有的空间光调制器对一次像面上的复振幅分布进行了点对点的调制,忽略空间光调制器的厚度。则经过空间光调制器的调制后,其输出光场的复振幅分布函数可表示为:Since all the spatial light modulators in this system are placed close to the primary image plane, it is considered that all the spatial light modulators modulate the complex amplitude distribution on the primary image plane point-to-point, ignoring the thickness of the spatial light modulator. Then after the modulation of the spatial light modulator, the complex amplitude distribution function of the output light field can be expressed as:

U'1(x1,y1)=U1(x1,y1)SLM(x1,y1) (3)U' 1 (x 1 , y 1 ) = U 1 (x 1 , y 1 ) SLM(x 1 , y 1 ) (3)

其中,SLM(x1,y1)表示空间光调制器的调制分布函数,在该函数的作用下,系统一次像面上的光场复振幅分布函数发生了变化,即实现了局部像差的引入过程。Among them, SLM(x 1 , y 1 ) represents the modulation distribution function of the spatial light modulator. Under the action of this function, the complex amplitude distribution function of the light field on the primary image plane of the system changes, that is, the local aberration is realized. introduction process.

U1(x1,y1)受到空间光调制器调制后,在像差的作用下,以畸变球面波的形式经由加密系统中的中继模块在成像在二次像面上,再次利用菲涅尔衍射公式,可得到二次像面上的复振幅分布函数为:After U 1 (x 1 , y 1 ) is modulated by the spatial light modulator, under the action of aberration, it is imaged on the secondary image plane in the form of a distorted spherical wave through the relay module in the encryption system, and the phosphine is used again. According to the Neel diffraction formula, the complex amplitude distribution function on the quadratic image plane can be obtained as:

Figure BDA0003249160310000081
Figure BDA0003249160310000081

其中,

Figure BDA0003249160310000082
M2为后端系统的放大率,(x2,y2)为二次像面所在坐标系,h2为中继模块的脉冲响应函数。in,
Figure BDA0003249160310000082
M 2 is the magnification of the back-end system, (x 2 , y 2 ) is the coordinate system where the secondary image plane is located, and h 2 is the impulse response function of the relay module.

联立式(2)与(4),整理可得:Combining equations (2) and (4), we can get:

Figure BDA0003249160310000083
Figure BDA0003249160310000083

因此,通过像差实现图像的加密,实质上是一个利用空间光调制器引入像差对后端系统脉冲响应函数进行控制,最终在像面上得到所需光场复振幅分布的过程。Therefore, the encryption of the image through aberration is essentially a process of using the spatial light modulator to introduce aberration to control the impulse response function of the back-end system, and finally obtain the required complex amplitude distribution of the light field on the image plane.

由于所有的空间光调制器可在其任意区域上生成特定的相位模式,故利用空间光调制器可在特定局部区域上生成小凹区,即不同的小凹区将会有不同的空间光调制器调制分布函数。空间光调制器调制分布函数的作用下,可实现球面波相位信息的修改,最终实现对球面波所携带图像信息进行模糊处理的目的。且在本系统中,使用空间光调制器对系统脉冲响应函数进行了二次控制,即实现本信息安全系统所提的二重光学密钥加密效果。Since all spatial light modulators can generate a specific phase pattern in any area, the use of spatial light modulators can generate small dimples in a specific local area, that is, different dimples will have different spatial light modulations the modulation distribution function. Under the action of the modulation distribution function of the spatial light modulator, the phase information of the spherical wave can be modified, and finally the purpose of blurring the image information carried by the spherical wave can be realized. And in this system, the spatial light modulator is used to control the impulse response function of the system twice, that is, the double optical key encryption effect proposed by this information security system is realized.

由上述原理可知,本发明将一般成像系统作为光学信息安全系统的组成部分,摆脱了当前光学信息安全系统对于平行光束的依赖,增加了其实用性。同时,局部加密的方式,也有利于提高系统的实时性。本发明通过空间光调制器的作用引入了小凹区实现了图像信息的加密,该加密方法是对小凹技术的逆用。由于小凹区的位置和模式可控,对不同光区的光进行不同的加密,故本发明系统具有很大的密钥空间,可实现一次一密,以达到更高的安全性It can be seen from the above principles that the present invention uses the general imaging system as a component of the optical information security system, which gets rid of the current optical information security system's dependence on parallel light beams and increases its practicability. At the same time, the local encryption method is also beneficial to improve the real-time performance of the system. The invention introduces the small concave area through the function of the spatial light modulator to realize the encryption of image information, and the encryption method is the reverse of the small concave technology. Since the position and mode of the small concave area are controllable, the light in different optical areas is encrypted differently, so the system of the present invention has a large key space, and can realize one-time pad, so as to achieve higher security.

进行解密时,由于本系统采用了二次加密的过程,则需要在解密系统中的第二解密空间光调制器9上生成两种正确的小凹区,才能实现对图像的完全解密,否则,只能得到部分正确的图像或者完全错误的图像。When decrypting, since the system adopts the process of secondary encryption, it is necessary to generate two correct small concave areas on the second decryption spatial light modulator 9 in the decryption system to achieve complete decryption of the image, otherwise, Only partially correct images or completely wrong images are obtained.

在本发明实施例中,与现有的光学信息加密系统需以平行光为信息载体不同,本光学信息加密系统包含了成像系统,无需平行光生成器件,信息载体为非平行光,可广泛应用于激光通信、银行安全认证等领域。In the embodiment of the present invention, unlike the existing optical information encryption system which needs to use parallel light as the information carrier, the optical information encryption system includes an imaging system, no parallel light generating device is required, and the information carrier is non-parallel light, which can be widely used In the fields of laser communication, bank security certification, etc.

综上所述,以上仅为本发明的较佳实施例而已,并非用于限定本发明的保护范围。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。To sum up, the above are only preferred embodiments of the present invention, and are not intended to limit the protection scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims (6)

1. An optical information security system based on a foveal duplex optical key is characterized by comprising an optical information encryption module and an optical information decryption module;
the optical information encryption module is formed by coaxially and sequentially placing an imaging optical module (1), a first encryption spatial light modulator (2), a first relay module (3), a second encryption spatial light modulator (4), a second relay module (5) and an encryption photoelectric detector (6);
the optical information decryption module is formed by coaxially and sequentially placing a collimation light source (7), a first decryption spatial light modulator (8), a second decryption spatial light modulator (9) and a decryption photoelectric detector (10);
in the optical information encryption module, a first encryption spatial light modulator (2) is positioned at the image surface position of the imaging optical module (1), an image beam passes through the first encryption spatial light modulator (2), a first spatial light modulation distribution function is set to perform phase modulation on the image beam in a specific area, and a small concave area is generated in an imaging area needing to be encrypted; the first relay module (3) carries out secondary imaging on an output image of the first encryption spatial light modulator (2); the second encryption spatial light modulator (4) is located at the position of a secondary image surface, the encrypted image light beam passes through the second encryption spatial light modulator (4), a second spatial light modulation distribution function is set to perform phase modulation on the image light beam in a specific area, a small concave area is generated in an imaging area needing to be encrypted, and secondary encryption is performed on the imaging area needing to be encrypted under the action of the small concave area; the second relay module (5) images the output image of the second encryption spatial light modulator (4) for three times, and a final image surface is formed on the encryption photoelectric detector (6); the encryption photoelectric detector (6) is connected with a PC end, and the decryption photoelectric detector (10) is connected with the PC end;
the PC terminal performs mathematical operation according to the known first spatial light modulation distribution function, the known second spatial light modulation distribution function and the known position distribution of the small concave area to obtain a comprehensive encryption key and inverts the comprehensive encryption key to obtain a decryption key; the first decryption spatial light modulator (8) is used for intensity modulation, so that the illumination light beam becomes an image to be decrypted; the second decryption spatial light modulator (9) is used for loading a decryption key and decrypting an image to be decrypted;
in the optical information decryption module, a collimation light source (7) provides an illumination light beam, a first decryption spatial light modulator (8) performs intensity modulation on the illumination light beam according to the intensity distribution condition on an encryption photoelectric detector (6), a second decryption spatial light modulator (9) performs phase modulation on the modulated illumination light beam according to a decryption key, a decryption photoelectric detector (10) receives an image to be decrypted formed by the decrypted illumination light beam, and in the decryption process, the position distribution of small concave regions generated on the second decryption spatial light modulator (9) is the same as the position distribution of small concave regions subjected to secondary encryption.
2. The system according to claim 1, wherein the distribution of the location of the pits on the first encrypting spatial light modulator (2) is determined by a first spatial light modulation distribution function and the distribution of the location of the pits on the second encrypting spatial light modulator (4) is determined by a second spatial light modulation distribution function.
3. The system according to claim 2, characterized in that said encryption photodetector (6) is placed at the image plane of said optical encryption module and said decryption photodetector (10) is placed at the image plane of said optical decryption module.
4. A system according to claim 3, characterized in that said first relay module (3) and second relay module (5) are relay imaging lens groups.
5. The system of claim 1, wherein the foveal duplex optical key-based optical information security system does not require a parallel beam of light as an information carrier for an image to be encrypted.
6. A system as claimed in claim 1, characterized in that the collimated light source (7) provides an illumination beam which is enlarged in aperture by two convex lenses and is incident on the first decrypting spatial light modulator (8).
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CN115051842A (en) * 2022-06-02 2022-09-13 北京理工大学 Optical video encryption system based on local distributed aberration theory
CN115051842B (en) * 2022-06-02 2023-05-05 北京理工大学 Optical video encryption system based on local distributed aberration theory

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