Accession Number:

AD0261387

Title:

EIGENWAVES ON A LATTICE OF SMALL SCATTERERS

Descriptive Note:

Research rept.

Corporate Author:

POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

Personal Author(s):

Report Date:

1961-07-17

Pagination or Media Count:

21.0

Abstract:

Previously, the quantum mechanical Bloch waves in a cubic crystal were analyzed by a cavity or structure constant approach by J. Korringa, W. Kohn Physica 13392, 1947 and N. Rostoker, et al. Phys. Rev. 941111, 1954. In the present report, the above method is reformulated to permit th analysis of electromagnetic Bloch waves in artificial dielectrics as well as electromagn tic surface waves on open periodic structures. The analysis, which is particularly appropriate for small scatterers, proceeds as follows. It is shown that a lossless scatterer embedded in a lossless medium can be characterized by a Hermitian matrix R. The lattice struc ure is then characterized by a structure constant matrix gamma which, in the eigenwave region, is also Hermitian. A dispersion relation for eigenwaves is then obtained as the condition that the determinant of R-gamma vanishes. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE