Diffraction efficiency optimization for multilayered parametric holographic gratings

Multilayered diffraction gratings are an essential component in many optical devices due to their ability to engineer light. We propose a first-order optimization strategy to maximize diffraction efficiencies of such structures by a fast approximation of the underlying boundary integral equations for polarized electromagnetic fields. A parametric representation of the structure interfaces via trigonometric functions enables the problem to be set as a parametric optimization one while efficiently representing complex structures. Derivatives of the efficiencies with respect to geometrical parameters are computed using shape calculus, allowing a straightforward implementation of gradient descent methods. Examples of the proposed strategy in chirped pulse amplification show its efficacy in designing multilayered gratings to maximize their diffraction efficiency. (C) 2021 Optical Society of America

Automated summary

In this paper, a first-order optimization strategy is proposed to maximize the diffraction efficiencies of multilayered diffraction gratings by approximating the underlying boundary integral equations for polarized electromagnetic fields. The parametric representation of structure interfaces and calculation of derivatives using shape calculus allow for straightforward implementation of gradient descent methods, showing efficacy in designing multilayered gratings to maximize diffraction efficiency in chirped pulse amplification.