Scattering from a penetrable sphere at short wavelengths
1961; Elsevier BV; Volume: 14; Linguagem: Inglês
10.1016/0003-4916(61)90059-8
ISSN1096-035X
Autores Tópico(s)Orbital Angular Momentum in Optics
ResumoA scalar plane wave incident on a penetrable sphere is considered in the short wavelength limit. A new representation of the scattering amplitude is introduced which is particularly appropriate in this limit, and which requires only the evaluation of certain integrals. Some of these may be evaluated asymptotically by the method of steepest descent and lead to the geometrical optics field contribution. Included in this is the bow field. The remainder of the integrals are evaluated by the method of residues and lead to the diffracted field contribution. This “diffracted ray” field is known from recent investigations in diffraction theory. An essential part of the analysis is the introduction of the parameter p, the number of internal refractions that a ray which hits the sphere undergoes. The results obtained are all in agreement with that which would be expected on the basis of geometrical diffraction theory.
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