Several theorems are known concerning symmetry relations between monochromatic wave fields that propagate either into the same half-space (z > 0) or into complementary half-spaces (z > 0 and z < 0) and that are complex conjugates of each other in some cross-sectional plane z = constant. The theorems derived up to now apply only to wave fields that do not contain inhomogeneous (evanescent) components. In the present paper two of the main theorems are generalized to a wider class of fields. It is found that homogeneous and inhomogeneous components of a wave field have quite different symmetry properties under phase conjugation. The results are illustrated by a discussion of the behavior of plane waves, both homogeneous and evanescent ones, which undergo phase conjugation followed by transmission or by reflection.
© 1985 Optical Society of America
Original Manuscript: December 4, 1984
Manuscript Accepted: May 10, 1985
Published: September 1, 1985
Manuel Nieto-Vesperinas and Emil Wolf, "Phase conjugation and symmetries with wave fields in free space containing evanescent components," J. Opt. Soc. Am. A 2, 1429-1434 (1985)