• Mathematics
• Published 1988
• DOI:10.1063/1.528151

Solutions of Maxwell’s equations with boundary conditions on the hyperplane z−ct=0

@inproceedings{Hillion1988SolutionsOM,
  title={Solutions of Maxwell’s equations with boundary conditions on the hyperplane z−ct=0},
  author={Pierre Hillion},
  year={1988}
}

• Pierre Hillion

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In homogeneous free space the electromagnetic field may be represented by a second rank spinor, each component of which is a solution of the wave equation. This makes it possible to solve the boundary value problem for the electromagnetic field when the data given on the hyperplane z−ct=0 are entire functions. Two particular cases of boundary conditions that are not entire functions and that lead to a relativistic solution of Young’s experiment are discussed.