Quantization of an electromagnetic field inside a high Q cubical cavity

Abstract EN

The electromagnetic field inside the hollow high Qcubical cavity is derived and quantized using the most popular method for the quantization of the fields.

This assumes that the fields are confined within optical cavity.

The quantization of these fields is performed in term of a complete set of discrete eigenmodes of the cavity using the radiation gauge for which the scalar potential l/J is zero and the vector potential A is transverse (l/J = 0, V .

A = 0).

The description is thus entirely in terms of a transverse vector potential A which satisfies V .

A = 0 everywhere, except at the cavity walls where, as usual, only boundary conditions are applied.

The optical cavity assumed to be a cubical cavity of side L and its walls are taken to be perfect conductors