H. Rigneault et al., SPONTANEOUS EMISSION IN MULTILAYER MICROCAVITIES - MODAL-THEORY EXTENDED WITH FOURIER-GREEN ANALYSIS FOR DISSIPATIVE STRUCTURES, Pure and applied optics, 7(3), 1998, pp. 549-563
Two rigorous theories are presented and compared to describe the inter
action with the electromagnetic field of localized sources confined wi
thin microcavities. Both the light which can escape the structure and
the embedded radiation are taken into account by these formalisms. The
modal theory describes the field in terms of modal functions and is l
imited to lossless structures. On the other hand, the Green approach c
an naturally cope with lossy cavities and considers the coupling of th
e sources with a continuum of waves with spatial frequencies ranging f
rom zero to infinity. The two theories are compared and the consequenc
es of losses are investigated in the case of a current source located
in the spacer of a resonant multilayer structure. It is shown that the
modal theory gives correct predictions when the imaginary part of the
refractive index is as large as 10(-4), whereas the Green approach be
comes necessary to describe the emission in lossy structures. In this
last case, we show that the spontaneous emission factor beta is not st
rongly affected by losses, although the emitted power is decreased due
to absorption.