Abstract

Several theorems are formulated, regarding symmetry relations between two monochromatic fields that propagate either into the same half-space (z > 0) or into two complementary half-spaces (z > 0 and z < 0) and that satisfy one of two simple phase-conjugacy conditions in a cross sectional plane z = constant. The theorems are rigorously valid for fields whose two-dimensional spatial-frequency spectrum in the cross sectional plane is bandlimited to a circle of radius equal to the wave number of the field. One of the theorems elucidates some recently predicted symmetry properties of focused fields.

© 1980 Optical Society of America

Inverse Diffraction and a New Reciprocity Theorem*

J. R. Shewell and E. Wolf
J. Opt. Soc. Am. 58(12) 1596-1603 (1968)

Phase conjugation and symmetries with wave fields in free space containing evanescent components

Manuel Nieto-Vesperinas and Emil Wolf
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Diffracted Wave Fields Expressible by Plane-Wave Expansions Containing only Homogeneous Waves*

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Evanescent Waves and the Electromagnetic Field of a Moving Charged Particle*

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Generalization of the Angular Spectrum of Plane Waves and the Diffraction Transform*

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