EIGENWAVES ON A LATTICE OF SMALL SCATTERERS
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 13:392, 1947) and N. Rostoker, et al. (Phys. Rev. 94:1111, 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 17, 1961
- Accession Number
- AD0261387
Entities
People
- Herbert Kurss
Organizations
- New York University Tandon School of Engineering