Numerical Solution of Initial Boundary Value Problems Involving Maxwell's Equations in Isotropic Media. Yee, K. S. IEEE Transactions on Antennas and Propagation, 14(3):302–307, May, 1966.
doi  abstract   bibtex   
Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
@Article{         Yee_1966aa,
  abstract      = {Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.},
  author        = {Yee, Kane S.},
  doi           = {10.1109/TAP.1966.1138693},
  file          = {Yee_1966aa.pdf},
  group         = {casper},
  issn          = {0018-926X},
  journal       = {IEEE Transactions on Antennas and Propagation},
  keywords      = {field,fd,physics},
  langid        = {english},
  month         = may,
  number        = {3},
  pages         = {302--307},
  title         = {Numerical Solution of Initial Boundary Value Problems Involving {Maxwell}'s Equations in Isotropic Media},
  volume        = {14},
  year          = {1966},
  shortjournal  = {IEEE Trans. Antenn. Propag.}
}

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