Optimal design of diffractive optical elements with functional relationship between phase and amplitude modulations using nonlinear optimization methods

Hwi Kim; Byoungho Lee

doi:10.1117/12.615568

23 August 2005 Optimal design of diffractive optical elements with functional relationship between phase and amplitude modulations using nonlinear optimization methods

Hwi Kim, Byoungho Lee

Author Affiliations +

Proceedings Volume 5876, Laser Beam Shaping VI; 587611 (2005) https://doi.org/10.1117/12.615568
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

In this paper, the optimal design problem of diffractive optical elements having a functional relationship between phase and amplitude modulations is investigated by using nonlinear optimization methods. Comparative analysis on formulations and performances of three important iterative methods (iterative Fourier-transform algorithm, nonlinear conjugate gradient method, and Gauss-Newton-Levenberg-Marquardt method) is provided. The detailed design equations of each method are described and numerical results are presented. The stable convergences of three investigated algorithms are confirmed. In our design problem, the conventional phase-only modulation is not assumed but the inherent functional relationship between phase and amplitude modulations of real diffractive optical elements are taken into account. It is shown that considering the functional relationship of phase and amplitude modulations in the design of diffractive optical elements leads to improvements in uniformity and diffraction efficiency.

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Hwi Kim and Byoungho Lee "Optimal design of diffractive optical elements with functional relationship between phase and amplitude modulations using nonlinear optimization methods", Proc. SPIE 5876, Laser Beam Shaping VI, 587611 (23 August 2005); https://doi.org/10.1117/12.615568

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