Optimal control approach to gradient-index design for beam reshaping

Document Type

Article

Publication Date

5-1-2022

Abstract

We address the problem of reshaping light in the Schrödinger optics regime fromthe perspective of the optimal control theory. In technological applications, Schrödinger optics is often used to model a slowly varying amplitude of a para-axially propagating electric field where the square of the waveguide's index of refraction is treated as the potential. The objective of the optimal control problem is to find the controlling potential which, together with the constraining Schrödinger dynamics, optimally reshapes the intensity distribution of Schrödinger eigenfunctions from one end of the waveguide to the other. This work considers reshaping problems found in work byKunkel and Leger, and addresses computational needs by adopting tools from the quantum control literature. The success of the optimal control approach is demonstrated numerically.

Identifier

85128936271 (Scopus)

Publication Title

Journal of the Optical Society of America A Optics and Image Science and Vision

External Full Text Location

https://doi.org/10.1364/JOSAA.450257

e-ISSN

15208532

ISSN

10847529

PubMed ID

36215452

First Page

907

Last Page

915

Issue

5

Volume

39

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