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In an anisotropic medium, permittivity varies with electric field direction, and is a property seen in most crystals. Consider a uniform plane wave propagating in the z direction in such a medium, and which enters the material with oqual field components along the x and y axes. The field phasor will take the form: E,(z) = E,(a, + a,elaßz)e-ißz Where Aß = B, - By is the difference in phase constants for waves that are linearly polarized in the x and y directions. Find distances into the material (in terms of AB) at which the field is (a) linearly polarized and (b) circularly polarized. (e) Assume intrinsic impedance n that is approximately constant with field orientation and find H,and <8»

In an anisotropic medium, permittivity varies with electric field direction, and is a property seen in most crystals. Consider a uniform plane wave propagating in the z direction in such a medium, and which enters the material with oqual field components along the x and y axes. The field phasor will take the form: E,(z) = E,(a, + a,elaßz)e-ißz Where Aß = B, - By is the difference in phase constants for waves that are linearly polarized in the x and y directions. Find distances into the material (in terms of AB) at which the field is (a) linearly polarized and (b) circularly polarized. (e) Assume intrinsic impedance n that is approximately constant with field orientation and find H,and <8»

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Q/n an anisotropic medium, permittivity varies with electric field direction, and is a property seen in most crystals. Consider a uniform plane wave propagating in the z direction in such a medium, and which enters the material with equal field components along the x and y axes. The field phasor will take the form: E,(2) = E(a, + a,elaRr)e-ißr Where Aß = B,-B, is the difference in phase constants for waves that are linearly polarized in the x and y directions. Find distances into the material (in terms of AB) at which the field is (a) linearly polarized and (b) circularly polarized. (e) Assume intrinsic impedance n that is approximately constant with field orientation and find H,and <S>.
Transcribed Image Text:Q/n an anisotropic medium, permittivity varies with electric field direction, and is a property seen in most crystals. Consider a uniform plane wave propagating in the z direction in such a medium, and which enters the material with equal field components along the x and y axes. The field phasor will take the form: E,(2) = E(a, + a,elaRr)e-ißr Where Aß = B,-B, is the difference in phase constants for waves that are linearly polarized in the x and y directions. Find distances into the material (in terms of AB) at which the field is (a) linearly polarized and (b) circularly polarized. (e) Assume intrinsic impedance n that is approximately constant with field orientation and find H,and <S>.
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