Pre-Quantum Electrodynamics

Boundary Conditions emsm.esm.D.bc

From GlD_int, using the usual Gaussian pillbox logic:

  • Gr (4.26)

\[ D^{\perp}_{above} - D^{\perp}_{below} = \sigma_f \tag{Dperp_disc}\label{Dperp_disc} \] Then, curlDcurlP gives

  • Gr (4.27)

\[ {\bf D}^{\parallel}_{above} - {\bf D}^{\parallel}_{below} = {\bf P}^{\parallel}_{above} - {\bf P}^{\parallel}_{below}. \tag{Dpar_disc}\label{Dpar_disc} \]



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Author: Jean-Sébastien Caux

Created: 2022-03-24 Thu 08:42