Spontaneous emission in 1D band gap structure

Spontaneous emission of a quantum dot placed in a 1D photonic band gap structure is analytically studied. Part of energy which remains nonradiated is obtained. It is shown that decay first follows ~t
^-1/2
law changing to ~t
^-3/2
law. Analytical expression for the spectrum is obtained. Analytical theory of the Borrmann effect is developed.