Reflection phase of photonic bands in finite bi-directional 1D photonic crystals using an effective medium approach

Abstract

The studies of photonic crystals had focused on the band structures and complete photonic bandgaps in past decades. However, properties of photonic bands in finite systems are more important for practical applications. Here we report the study of the reflection phase of photonic bands in finite bi-directional 1D dielectric photonic crystal modeled as a dielectric slab using an effective medium with a Fano-like dispersion. The reflection peaks/troughs of the finite photonic crystal slab are analyzed using an interference model to obtain the reflection phase for the photonic bands of the PC. We show that our model works very well in the photonic bands except very close to the band edges. Our work could shed light on practical applications in phase measurements and manipulations using photonic crystals.