Synthesis of Optical Fields Characterized by Their Mutual Intensity Functions

Kutay, Mehmet Alper, TÜBITAK National Research Institute of Electronics and Cryptology; Ozaktas, Haldun M., Bilkent Univ.; Yüksel, Serdar, ASELSAN A.S.

doi:10.1117/3.2265058.ch6

Book: Optical Information Processing: A Tribute to Adolf Lohmann

Editor(s): H. John Caulfield

Author(s): Mehmet Alper Kutay, Haldun Ozaktas, Serdar Yüksel

Published: 2002

https://doi.org/10.1117/3.2265058.ch6

Author Affiliations +

Abstract

In some applications we want to synthesize a discrete signal from another discrete signal by designing a system that maps the signal we have to the desired one. The problem of obtaining a specific output g corresponding to a specific input f is not an interesting problem if all entries of f are nonzero, because we may recover g from f by using only a single multiplicative filter h. However, in the event that some of the entries of f are zero, the problem is no longer trivial and a number of iterative algorithms have been proposed. A distinct problem arises when, rather than specifying a specific output for a specific input, an input-output relation is specified. This is the system synthesis problem, as opposed to the signal synthesis problem.