Ahmed M. Elshamy¹, Aziza I. Hussein^2,3, Hesham F. A. Hamed², M. A.Abdelghany² and Hamdy M. Kelash⁴, ¹Fujairah University, UAE, ²Minia University, Egypt, ³Effat University, KSA and ⁴Menoufia University, Egypt

This paper presents an optical image encryption system based completely on amplitude modulation, phase modulation in the discrete Fourier transform and modified chaotic logistic map. Amplitude modulation and phase modulation are accomplished by the use of spatial light modulator (SLM). SLMs are normally used to control incident light in amplitude-best, phasebest or the mixture (amplitude-phase). The random amplitude modulation based on a chaotic Baker map is carried out in time domain, while the random phase modulation is accomplished in the frequency domain. In this paper, we proposed a technique to regulate and enhance protection in a chaotic logistic map method leading to increased variety of key space of the logistic map. This causes our encryption system to become exceptionally sturdy against brute pressure. An exhaustive analysis of the proposed encryption system is undergone and shows positive results in encryption metrics when compared to several different photo encryption techniques. The analysis demonstrates the highly valued security and immunity to noise of the photograph encryption. The proposed modified logistic map with amplitude and phase modulation is suitable for real-time application.

Image Encryption, Fourier Transform, Security, Chaotic Logistic Map, Chaotic Baker Map