Field theory for generalized bidirectional reflectivity: derivation of Helmholtz's reciprocity principle and Kirchhoff's law

被引:188
作者
Greffet, JJ [1 ]
Nieto-Vesperinas, M
机构
[1] CNRS, Ecole Cent Paris, Lab Energet Mol & Macroscop, F-92295 Chatenay Malabry, France
[2] CSIC, Inst Ciencia Mat, E-28049 Madrid, Spain
关键词
D O I
10.1364/JOSAA.15.002735
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A generalized bidirectional distribution function (BRDF) that relates the specific intensity of the scattered light from a semi-infinite medium to the specific intensity of the incident light is introduced in the framework of coherence theory. This derivation allows us to obtain from first principles several fundamental properties: First, it is established that the generalized BRDF takes the form of a nonlocal relation between the incident and the scattered specific intensities. This nonlocal structure allows us to account naturally for the lateral shift of a beam. Second, the generalized BRDF is the Fourier transform of the correlation function that describes the memory effect. Third, the Helmholtz principle for specific intensities is derived as a theorem from the reciprocity property of the scattering operator for wave fields. This result allows us to prove Kirchhoff's law. (C) 1998 Optical Society of America.
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页码:2735 / 2744
页数:10
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