A one-dimensional random photonic lattice is studied both by the plane-wave method and by the transfer matrix approach for arbitrary contrast in its dielectric permittivity. The roles and competition of different scattering mechanisms such as Bragg diffraction, single-scatterer resonances, and Bragg remnants are investigated. The localization length, band-gap width, and middle-gap frequency are analyzed for both random and regular lattices in the higher-frequency bands. An analytical expression allowing the prediction of the existence of band-gap closing is obtained. It is shown not only that strong localization results from Bragg diffraction and disorder in the scatterers’ distribution but also that Bragg remnants produce localization for a medium with small contrast.
© 1996 Optical Society of America
Original Manuscript: February 28, 1995
Revised Manuscript: September 13, 1995
Manuscript Accepted: August 17, 1995
Published: March 1, 1996
Sergei A. Bulgakov and Manuel Nieto-Vesperinas, "Competition of different scattering mechanisms in a one-dimensional random photonic lattice," J. Opt. Soc. Am. A 13, 500-508 (1996)