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Optimal binary phase-only matched filters

1988; Optica Publishing Group; Volume: 27; Issue: 21 Linguagem: Inglês

10.1364/ao.27.004431

0003-6935

Michael W. Farn, Joseph W. Goodman,

Optical measurement and interference techniques

Many spatial light modulators and computer-generated hologram techniques can very efficiently implement binary phase-only filters. At present, almost all binary phase-only filters are designed by first designing a matched spatial filter and then binarizing it. There is no theoretical basis to expect that such a filter will be optimal. This paper first develops a theory for optimal binary phase-only filters and then presents a numerical algorithm which designs the optimal binary phase-only matched filter for a given image. The filter is optimal in the matched filter sense of maximizing SNR at the output origin. Characteristics of the optimal filter compared to conventional binary phase-only filters are discussed.