Field theory for generalized bidirectional reflectivity: derivation of Helmholtz’s reciprocity principle and Kirchhoff’s law - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 1998

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

Résumé

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.
Fichier non déposé

Dates et versions

hal-01621408 , version 1 (23-10-2017)

Identifiants

Citer

Jean-Jacques Greffet, Manuel Nieto-Vesperinas. Field theory for generalized bidirectional reflectivity: derivation of Helmholtz’s reciprocity principle and Kirchhoff’s law. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 1998, 15 (10), pp.2735-2744 ⟨10.1364/JOSAA.15.002735⟩. ⟨hal-01621408⟩
61 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More