Prob 4 A dielectric and lossy B magnetic and lossy C dielectric and lossless D

Prob 4 a dielectric and lossy b magnetic and lossy c

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Prob. 4 A : dielectric and lossy; B : magnetic and lossy; C : dielectric and lossless; D : dielectric and lossy; E : magnetic and lossless. Prob. 5 The crystal is dielectric and lossless at this wavelength because the permittivity tensor is symmetric and Hermitian. By diagonalizing the permittivity tensor, the principal dielectric constants are found: 0 5.481 x = , 0 5.481 y = , and 0 5.053 z = . Note that by convention the unique dielectric constant that is different from the other two is assigned to be associated with the ˆ z principal axis. The eigenvectors define the principal axes. Thus the principal indices and the corresponding principal axes are 0 1 0 2 3 0 2 3 ˆ ˆ 2.341, ; 1 1 ˆ ˆ ˆ 2.341, ; 2 2 1 1 ˆ ˆ ˆ 2.248, . 2 2 x x y y z z n x x n y x x n z x x = = = = = = = = = + Because , x y z n n n = > the crystal is birefringent and is negative uniaxial with o 2.341 n = and e 2.248 n = .
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  • Winter '17
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  • Flux, Dielectric, time reversal, space inversion

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