In one minute

R. J. Churchill and T. G. Philbin model a semi-infinite dielectric whose susceptibility has several spatially dispersive resonances. The surface is described by an arbitrary reflection coefficient for polarisation waves, whose specific values correspond to different additional boundary conditions for Maxwell's equations. They derive exact electromagnetic reflection and transmission coefficients and apply them to materials with multiple exciton bands. They find a better single-band approximation for heavy and light exciton bands and extend the model to the linear-in-k dispersion found in uniaxial crystals. Finally they calculate the spectral energy density of thermal and zero-point radiation for many multi-resonance models and boundary conditions.

Reflection and transmission in nonlocal susceptibility models with multiple resonances