Abstract
We present a band-gap engineering approach for obtaining a finite photonic-band-edge-resonant stratified periodic dielectric structure in the presence of material dispersion. When the structure contains second-order nonlinear optical materials, enhanced phase-matched optical second-harmonic (SH) generation may be obtained. Using a transfer-matrix technique, we computed the transmitted and reflected SH power for a GaAs/AlAs Bragg grating and found that a substantial enhancement of the SH power is obtained for a modest number of periods. Asymptotically for a large number of periods, we found the SH power to scale as the eighth power of the total structure thickness.
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