Electromagnetic Radiation from Wave-Guides and Horns

Abstract

RECENTLY, Levine and Schwinger¹ have obtained a rigorous solution of the problem of radiation of sound from an unflanged circular pipe. Their method hinges on the solution of a certain integral equation, which they solve by a decomposition of its Fourier transform into two parts, each of which can be shown, from its behaviour at infinity, to be a constant. This method of decomposition seems to be successful in a large number of problems in which integral equations of a certain type appear, and I have applied it to the radiation of electromagnetic waves from rectangular wave-guides. A number of useful and interesting results have been obtained, which seem worth recording.