Strong localization of light in a random two-dimensional dielectric medium that is periodic on average

F. Pincemin; Alexei A. Maradudin; Arthur R. McGurn

doi:10.1117/12.171681

1 April 1994 Strong localization of light in a random two-dimensional dielectric medium that is periodic on average

F. Pincemin, Alexei A. Maradudin, Arthur R. McGurn

Proceedings Volume 2117, Modeling and Simulation of Laser Systems III; (1994) https://doi.org/10.1117/12.171681
Event: OE/LASE '94, 1994, Los Angeles, CA, United States

Abstract

We study the strong localization of light in a two-dimensional, randomly disordered, dielectric medium that is periodic on average. The medium consists of an infinite array of infinitely long, parallel, dielectric rods of square cross section embedded in vacuum. The intersections of the axes of these rods with a perpendicular plane form a square lattice. The dielectric constant of each rod, which is lossless, is an independent random variable whose values are distributed about an average value (epsilon) _(alpha ). The photonic band structure of the average periodic system has been calculated, and the edges of the band gaps have been found by a careful study of the convergence of the calculation. Maxwell's equations are integrated numerically in space and time to yield the electromagnetic field radiated by a line source emitting light at frequency (omega) whose current amplitude has a Gaussian shape in time. By looking in the disordered system at the electromagnetic energy stored between consecutive pairs of cylinders of radii m(Delta) R and (m + 1)(Delta) R, where m equals 0,1,2..., centered on the line source we show that the system displays strong localization of light. The localization length is found to be much smaller for frequencies in the gaps of the photonic band structure of the average periodic medium than for frequencies outside the gaps.

Citation Download Citation

F. Pincemin, Alexei A. Maradudin, and Arthur R. McGurn "Strong localization of light in a random two-dimensional dielectric medium that is periodic on average", Proc. SPIE 2117, Modeling and Simulation of Laser Systems III, (1 April 1994); https://doi.org/10.1117/12.171681

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