Correlation with a spatial light modulator having phase and amplitude cross coupling

Abstract

In correlation filtering a spatial light modulator is traditionally modeled as affecting only the phase or only the amplitude of light. Usually, however, a single operating parameter affects both phase and amplitude. An integral constraint is developed that is a necessary condition for optimizing a correlation filter having single parameter coupling between phase and amplitude. The phase-only filter is shown to be a special case.

Modified minimum-distance criterion for blended random and nonrandom encoding

“…Blending by either approach leads to significant improvements in performance over that originally reported in Ref. 24 for PRE and MDE used individually. Especially significant is the 2ϫ-3ϫ increase in diffraction efficiency over that with PRE alone as a result of blending.…”

“…The earliest applications of design optimization using a few parameters appear in the work of Farn and Goodman 23 and in Juday 17,24 on the design of singleobject correlation filters for limited-modulation-range SLM's. 17,23,24 Reference 17 presents this problem in its most general form. A fully complex filter is specified that optimizes a given performance metric.…”

Performance models of correlators with random and systematic phase errors

“…These general equations are rewritten here to specifically represent diffraction from the filter plane to the correlation plane. Equation (5) The general expression for the expected correlation plane intensity is (I(x)) = (A (x)A (x)) (10) This expression separates into 2 plus additional terms that result from the term A1(x) not being statistically independent from itself (i.e., terms in the double summation for which i =j). The general expression for the standard deviation of the correlation plane intensity distribution under the assumption that the A,(x) are statistically independent is Zj, a…”

Optical pattern recognition with the real-time phase-only filters and wavelet matched filters

“…IH(su,sv)I2 (7) where 40(u,v) is the phase function of the Fourier transform of ç(x,y). The resolution for the coefficients oc., of the CWMF is similar to that for the composite filter.…”