Iterative transform algorithm for the computation of optimal beams

Document Type

Article

Publication Date

1-1-2004

Abstract

The problem of maximizing the integrated-weighted intensity of a transmitted beam in a receiver plane is equivalent to the problem of finding the largest eigenvalue's eigenfunction for a particular Hermitian operator. Application of the power method for the determination of this eigenfunction, along with its associated eigenvalue, results in an iterative transform algorithm that can be applied to arbitrary apertures, nonnegative windows, and propagation media. The computational complexity of each iteration of this algorithm is equivalent to the numerical propagation of an arbitrary beam through the transmission medium. © 2004 Optical Society of America.

Publication Title

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

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