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Prob. 4A: dielectric and lossy;B: magnetic and lossy;C: dielectric and lossless;D: dielectric and lossy;E: magnetic andlossless.Prob. 5 The crystal is dielectric and lossless at this wavelength because the permittivity tensor is symmetric andHermitian.By diagonalizing the permittivity tensor, the principal dielectric constants are found:05.481x=,05.481y=, and05.053z=. Note that by convention the unique dielectric constant that is different fromthe other two is assigned to be associated with theˆzprincipal axis. The eigenvectors define the principal axes.Thus the principal indices and the corresponding principal axes are01023023ˆˆ2.341,;11ˆˆˆ2.341,;2211ˆˆˆ2.248,.22xxyyzznxxnyxxnzxx=========−+Because,xyznnn=>the crystal is birefringent and is negative uniaxial witho2.341n=ande2.248n=.