8. Electromagnetic waves: Consider electromagnetic fields, E and B. in a non-conducting, linear, isotropic, and homogenous medium (with dielectric constant e, and permeability ). a) Derive, from Maxwell's equations, that the electromagnetic fields satisfy the wave equation. Proof that not all solutions to the wave equation satisfy Maxwell's equations. b)
8. Electromagnetic waves: Consider electromagnetic fields, E and B. in a non-conducting, linear, isotropic, and homogenous medium (with dielectric constant e, and permeability ). a) Derive, from Maxwell's equations, that the electromagnetic fields satisfy the wave equation. Proof that not all solutions to the wave equation satisfy Maxwell's equations. b)
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Please provide a detailed and understandable solution, especially to part b) which I do not know how to answer!
Transcribed Image Text:8. Electromagnetic waves:
Consider electromagnetic fields, E and B. in a non-conducting, linear, isotropic, and
homogenous medium (with dielectric constant e, and permeability µ).
Derive, from Maxwell's equations, that the electromagnetic fields satisfy the wave
Proof that not all solutions to the wave equation satisfy Maxwell's equations.
equation.
b)
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