The Time Evolution of Photonic Crystal Bandgaps
The concept of a scaled group delay time is applied to a finite one-dimensional periodic array of dielectrics as a means of obtaining a group velocity. The scaling factor is shown to be the physical distance and this derived group velocity is compared to the group velocity of an infinitely periodic structure. Joint time-frequency analysis is performed on the response of a one-dimensional structure and the time-to-formation of the pass bands is shown to be determined by the peak group velocity in a given band. These concepts are then extended to three-dimensional photonic crystals and shown to give good agreement.
KeywordsPhotonic Crystal Group Velocity Dispersion Curve Periodic Structure Pass Band
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