Backscattering from Wide-Angle and Narrow-Angle Cones
- 1 February 1955
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 26 (2) , 138-151
- https://doi.org/10.1063/1.1721952
Abstract
Solutions are obtained for the diffraction of the waves radiated by scalar and vector point sources on the axis of a semi-infinite cone. The scalar problems are solved by the method of characteristic Green's functions to yield directly various alternative representations whose different convergence properties are discussed; the vector problem is solved by an application of spherical transmission line theory. To evaluate the plane wave scattering observed far from the cone tip, a highly convergent contour integral representation is selected and evaluated approximately for the special case of backscattering from cones having large and small apex angles. The results for the large-angle cone exhibit the transition from a backscattered spherical wave to a plane wave as the cone degenerates into an infinite plane.This publication has 4 references indexed in Scilit:
- Slot Coupling of Rectangular and Spherical Wave GuidesJournal of Applied Physics, 1953
- Field representations in spherically stratified regionsCommunications on Pure and Applied Mathematics, 1951
- The diffraction of electric waves by the earthProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1918
- The scattering of sound waves by a coneMathematische Annalen, 1914