Contours of Constant Principal Angle in the Complex Dielectric Plane

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The contours of the constant principal angle in the complex dielectric plane can be determined by eliminating the principal azimuth from the equation . This gives , which is a circle with center at on the real axis and radius . The figure shows constant principal-angle contours for . As approaches , these contours approach concentric circles with center at .

Contributed by: Siva Perla (March 2011)
Open content licensed under CC BY-NC-SA


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The usual notation for the principal angle, , and principal azimuth, , has been modified for visual clarity.

R. M. A. Azzam, "Contours of constant principal angle and constant principal azimuth in the complex ϵ plane," Journal of the Optical Society of America, 71(12), 1981 pp. 1523-1528.



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