Optimal control approach to gradient-index design for beam reshaping

J. Adriazola, R. H. Goodman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)907-915
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number5
StatePublished - May 2022

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition


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