Cryptanalysis of an "asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition"

Area of Science:

• Optical cryptography
• Image processing
• Information security

Background:

• A recent asymmetric optical cryptosystem utilizes coherent superposition and equal modulus decomposition.
• This cryptosystem's security relies on the difficulty of recovering the original image from ciphertext and public keys.

Purpose of the Study:

• To analyze and present a feasible attack scheme against the specified asymmetric optical cryptosystem.
• To demonstrate the vulnerability of the cryptosystem to image recovery attacks.

Main Methods:

• The attack employs an amplitude-phase retrieval algorithm.
• Two constraints are utilized: the public key and an additional constraint derived from cryptosystem analysis.
• Simulations are performed to validate the attack's effectiveness.

Main Results:

• The proposed attack successfully recovers the original image using only the ciphertext and public keys.
• The analysis confirms the feasibility of recovering the image through the amplitude-phase retrieval algorithm.
• Simulation results validate the attack's practical viability.

Conclusions:

• The asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition is vulnerable to the presented attack.
• The security of such cryptosystems needs re-evaluation considering the demonstrated image recovery capabilities.
• Amplitude-phase retrieval algorithms, with appropriate constraints, pose a significant threat to optical cryptosystems.