RESONANCES IN THE SMITH–PURCELL EFFECT
- 1 June 1964
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 42 (6) , 1195-1211
- https://doi.org/10.1139/p64-109
Abstract
A rigorous solution is derived for the problem of radiation of the Smith–Purcell type (Smith and Purcell 1953) extracted from a radio-frequency bunched electric-current sheath, above a plane exhibiting a periodically varying surface reactance. The plane is regarded as a model of an optical reflection grating. The solution indicates that the presence of the grating will give rise to electromagnetic resonance effects which are closely related to the so-called Wood anomalies (Wood 1935; Twersky 1956; Hessel 1960; Hessel and Oliner 1962; Stewart and Gallaway 1962), encountered in optical-grating spectroscopy. Utilization of these resonances may be advantageous in the generation of millimeter waves.Keywords
This publication has 7 references indexed in Scilit:
- On the influence of complex poles on the radiation pattern of leaky-wave antennasIEEE Transactions on Antennas and Propagation, 1962
- Diffraction Anomalies in Grating SpectrophotometersApplied Optics, 1962
- A network approach to the analysis of Čerenkov radiation problems.Il Nuovo Cimento (1869-1876), 1961
- On the theory of some Čerenkovian effectsIl Nuovo Cimento (1869-1876), 1960
- On the scatttering of waves by an infinite gratingIEEE Transactions on Antennas and Propagation, 1956
- Mathieusche Funktionen und SphäroidfunktionenPublished by Springer Nature ,1954
- Zur Theorie der anomalen Reflexion von optischen StrichgitternThe European Physical Journal A, 1942