# 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} }

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.

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