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Periodic Structures On Curved Surfaces

Report Number: AFCRL 63-566
Author: Lean, Eric
Author: Gung-Hwa Ishimaru, Akira
Corporate Author: Washington Univ Seattle Coll Of Engineering
Laboratory: Air Force Cambridge Research Laboratories
Date of Publication: 1963-10
Pages: 27
Contract: AF 19(628)-2763
Project: 5635
Task: 563502
AD Number: AD0429755

Abstract:
An extension is presented of the theory developed for plane periodic structures to cylindrical structures having an azimuthal periodicity. The main object is obtaining k - v diagrams (where v is the complex azimuthal propagation constant). Since the cylindrical structures considered have azimuthal periodicity, the fields can be expanded, in accordance with Floquet's theorem, in space harmonics. Two particular structures are considered: (a) the curved corrugated surface and (b) the curved periodic slotted conductors. For (a) the characteristic equation for v is obtained by equating appropriate energies on the surface of the structure; for (b), the characteristic equation is obtained by using the transverse resonance condition. An approximate solution for v is found for structure (a). In this case, a perturbation technique permits obtaining the real and imaginary part of the azimuthal propagation constant for the slow region and for the n equals minus 1 leaky wave region.


Provenance:
Lockheed Martin Missiles & Fire Control
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