Abstract

The iterative Fourier transform algorithm (IFTA) is widely used in various optical communication applications based on liquid crystal on silicon spatial light modulators. However, the traditional iterative method has many disadvantages, such as a poor effect, an inability to select an optimization direction, and the failure to consider zero padding or phase quantization. Moreover, after years of development, the emergence of various variant algorithms also makes it difficult for researchers to choose one. In this paper, a new intelligent hybrid algorithm that combines the IFTA and differential evolution algorithm is proposed in a novel way. The reliability of the proposed algorithm is verified by beam splitting, and the IFTA and symmetrical IFTA algorithms, for comparison, are introduced. The hybrid algorithm improves the defects above while considering the zero padding and phase quantization of a computer-generated hologram, which optimizes the directional optimization in the diffraction efficiency and the fidelity of the output beam and improves the results of these two algorithms. As a result, the engineers’ trouble in the selection of an algorithm has also been reduced.

Highlights

  • In recent years, there has been an increasing demand for network transmission with the gradual popularization of social media

  • For the algorithm proposed in this paper, the diffraction efficiency is basically the same as symmetrical IFTA (SIFTA) under the overall optimization of m = n = 1, while the root–mean–square error is reduced to 21.05% of iterative Fourier transform algorithm (IFTA), and the fidelity of the output beam is further improved

  • It should be noted that the proposed algorithm does not further optimize the diffraction efficiency of IFTA results considering IFTA does not use amplitude freedom, because there is not enough room for optimization

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Summary

Introduction

There has been an increasing demand for network transmission with the gradual popularization of social media. Quan You et al have proposed an improved solution that increases the rotation of CGH and extends the beam splitting from 1D to 2D [15] This kind of scheme is simple and intuitive, with high diffraction efficiency, but it has some problems, such as insufficient flexibility, a small number of split beams and a susceptibility to proportional imbalance. While many algorithms can produce better optimization results, zero padding and phase quantization are not taken into account These operations must be carried out in calculating CGH in practical applications. |G (u)| exp{ iφ[G (u)] if u ∉ SW, where G (u) is the original complex amplitude distribution in the Fourier domain, F(u) is the complex amplitude distribution of the input beam, and SW is the signal window

The Differential Evolution Algorithm
The Proposed Algorithm
Results
Discussion and Conclusions
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