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Ray Optics for Radiation Problems in Anisotropic Regions With Boundaries.
Author(s) -
Felsen Leopold B.,
Rosenbaum Shalom
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196728769
Subject(s) - saddle point , saddle , diffraction , anisotropy , point (geometry) , geometrical optics , connection (principal bundle) , physics , optics , physical optics , radiation , ray , computer science , mathematics , geometry , mathematical optimization
Rigorous generic integral solutions for the fields radiated by phased‐line distributions of electric or magnetic currents in the presence of two arbitrarily anisotropic half spaces are evaluated asymptotically by the saddle‐point technique. The resulting field constituents are shown to be interpretable invariantly as geometric‐optical (incident, reflected, and refracted) and diffracted (lateral‐wave) contributions. These fields are then derived directly from ray‐optical arguments, thereby providing a justification for thls procedure without intervention of the rigorous formulation. Because of the general validity of ray‐optical concepts in connection with asymptotic solutions in the far zone, use of ray techniques is then advocated also for more complicated configurations which are not amenable to rigorous analysis.