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Three-Dimensional Lattices with Isotropic Dielectric Properties

Kaprielian, Zohrab A. (1957) Three-Dimensional Lattices with Isotropic Dielectric Properties. Caltech Antenna Laboratory Technical Report, 10. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190924-093444271

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Abstract

Expressions are derived for the constitutive dielectric parameters of a cubical lattice whose elements consist of a triad of mutually perpendicular polarizable elements. The analysis gives the fundamental relations for the simulation by suitably disposed dipoles, of three-dimensionally isotropic dielectrics with dielectric constants greater than, equal to, and less than unity. Three different approaches have been used. One of these is a complete and rigorous solution which gives the dielectric tensor for the general case of unrestricted spacing to wavelength ratio. This rigorous analysis shows that the Clausius-Mosotti relation often used in predicting the properties of such lattices is a satisfactory approximation only if the spacing is very small with respect to wavelength. Using the general principles developed in the paper, conditions are derived for the realizability of reflectionless media.


Item Type:Report or Paper (Technical Report)
Additional Information:This research was supported by the U. S. Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command, under Contract No. AF18(600)-1113. The author would like to thank Professor C. H. Papas and Dr. Georges Weill for many helpful discussions.
Group:Caltech Antenna Laboratory
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)AF 18(600)-1113
Other Numbering System:
Other Numbering System NameOther Numbering System ID
AFOSRTN-57-115
ASTIAAD 120 468
Series Name:Caltech Antenna Laboratory Technical Report
Issue or Number:10
DOI:10.7907/2FZZ-AW07
Record Number:CaltechAUTHORS:20190924-093444271
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190924-093444271
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98826
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:24 Sep 2019 20:52
Last Modified:03 Oct 2019 21:44

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