Abstract

Experimental studies have highlighted particularly interesting linear properties of pulses propagating in photonic band gap (PBG) structures of finite length. Examples are the measurement of superluminal group velocity at mid-gap frequencies [1], and the measurement of low group velocities near the band edge of a semiconductor heterostructure. These effects originate with the remarkable but peculiar dispersive properties of finite multiplayer stacks in both linear and nonlinear regimes. The dispersion in a finite 1-d PBG structure can be written as [2]: where $t_{\omega }=\sqrt{T(\omega )}\exp \left[i{\varphi }_t(\omega )\right]$ is the transmittance from the structure.

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