Dielectric Media. Identify the media described by the following equations, regarding lin- earity, dispersiveness, spatial dispersiveness, and homogeneity. Assume that all media are isotropic. (a) P = EXEaVx E, (b) P+ aP² = €。ε, (c) α₁ вP/Ət² + a₂ ƏP/ât + P = €。XE, (d) P = €。{a₁ + a₂ exp[−(x² + y²)]}E, where x, a, a₁, and a2 are constants.

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Dielectric Media. Identify the media described by the following equations, regarding lin-
earity, dispersiveness, spatial dispersiveness, and homogeneity. Assume that all media are
isotropic.
(a) P = coxEaVxE,
(b) P + ap² = €ε,
(c) α₁ ²P/Ət² + a₂ ƏP/ôt + P = €。XE,
(d) P = €{a₁ + a₂ exp[-(x² + y²)]}Ɛ,
where x, a, a₁, and a₂ are constants.
Transcribed Image Text:Dielectric Media. Identify the media described by the following equations, regarding lin- earity, dispersiveness, spatial dispersiveness, and homogeneity. Assume that all media are isotropic. (a) P = coxEaVxE, (b) P + ap² = €ε, (c) α₁ ²P/Ət² + a₂ ƏP/ôt + P = €。XE, (d) P = €{a₁ + a₂ exp[-(x² + y²)]}Ɛ, where x, a, a₁, and a₂ are constants.
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