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Electromagnetic wave equations: dielectric without dispersion

Electromagnetic wave equations: dielectric without dispersion. Section 75. In Chapter 7, section 58, we had for variable E-M field in a conductor :. These equations require sufficiently slow variation that Ohm’s law holds with DC value of s.

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Electromagnetic wave equations: dielectric without dispersion

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  1. Electromagnetic wave equations: dielectric without dispersion Section 75

  2. In Chapter 7, section 58, we had for variable E-M field in a conductor: These equations require sufficiently slow variation that Ohm’s law holds with DC value of s

  3. This section: Variable E-M field in a dielectric • If the frequencies are low enough, D = D(E) and B = B(H) are the same as in the static case. • For example, linear isotropic case: D = eE and B = mH with static e & m values. • Dielectrics have s = 0, so all action is due to displacement current, and none is due to free current j.

  4. What is dispersion? • Electric & magnetic polarization are caused by separation of charge or alignment of moments. • These motions have certain natural frequencies. • When w of E-M field approaches such frequencies, polarization and loss are enhanced and differ from static case. • e and m change with frequency: dispersion

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