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 (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20190924-093444271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) | ||||||
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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 | ||||||
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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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