Abstract

Describing the transmission of a filter by a complex transmission function implies a point-to-point relationship between the signals just in front of and just behind the filter. In general, this relationship is valid only for very thin filters. A set of two sufficient conditions is derived that allows a thin-filter description of pure phase filters with a thickness large compared to the wavelength of the incident light. Only filters that consist of two adjacent layers with varying thicknesses and constant refractive indices are considered.

© 1975 Optical Society of America

Optimum conditions for heterodyne detection of light*

L. Mandel and E. Wolf
J. Opt. Soc. Am. 65(4) 413-420 (1975)

Class of optimum spatial filters

N. C. Gallagher and B. Liu
J. Opt. Soc. Am. 65(2) 182-187 (1975)

Fresnel region for spatially band-limited signals

P. Matthijsse and P. J. G. Hammer
J. Opt. Soc. Am. 65(2) 188-190 (1975)

Coupling in doubly exposed, thick holographic gratings

R. Alferness and S. K. Case
J. Opt. Soc. Am. 65(6) 730-739 (1975)

Enhancement of multiple images by sampling spatial filtering using additional auxiliary sampling

A. Kalestyński
J. Opt. Soc. Am. 65(12) 1443-1447 (1975)