Regular Paper

[OPTICAL REVIEW Vol. 2, No. 5 (1995) 347-351]

Spectrum Invariance for a Particular Class of Optical Fields Propagated in Far Zone

Yoshihiro OHTSUKA

Department of Engineering Science, Faculty of Engineering, Hokkaido University, Sapporo, 060 Japan

(Received June 30, 1995; Accepted August 1, 1995)

This paper describes invariance of the normalized optical spectrum for a particular class of optical fields propagated in the far zone from a secondary, spatially, partially coherent source. The optical field across the secondary planar source is inhomogeneous to give the complex degree of spectral coherence such that ｵ=h{αω(ρ₁?ρ₂)}exp{iεω(ρ₁²?ρ₂²)}, where α, ε are constants, ω is optical frequency, and ρ₁, ρ₂ denote two points in the secondary source. This expression for ｵ is the same as obtained in the Fresnel zone from a primary, spatially incoherent source. The invariance law does not hold for the spectrum of the light propagated from the primary source.

Key words : spectrum invariance on propagation, inhomogeneous optical fields, particular complex degree of spectral coherence

OPTICAL REVIEW HomePage

© 1994-2009 The Optical Society of Japan (An Affiliate of the Japan Society of Applied Physics)
Produced, Developed, and Maintained by The Optical Society of Japan (An Affiliate of the Japan Society of Applied Physics)
Printed in Japan by Daishowa Printing Co., Ltd.

mail to Editorial Office, OPTICAL REVIEW