All-optical switching, bistability, and slow-light transmission
in photonic crystal waveguide-resonator structures
S. F. Mingaleev, A. E. Miroshnichenko, Yu. S. Kivshar, and K. Busch,
Phys. Rev. E 74, 046603-15 (2006).
[Full-text PDF (950 Kb)]
Abstract: We analyze the resonant linear and nonlinear transmission through a photonic crystal
waveguide sidecoupled to a Kerr-nonlinear photonic crystal resonator. First, we extend the
standard coupled-mode theory analysis to photonic crystal structures and obtain explicit
for the bistability thresholds and transmission coefficients which provide the basis for a
understanding of the possibilities associated
with these structures. Next, we discuss limitations of standard coupled-mode theory and pr
alternative analytical approach based on the effective discrete equations derived using a
method. We find that the discrete nature of the photonic crystal
waveguides allows a geometry-driven enhancement
of nonlinear effects by shifting the resonator location relative
to the waveguide, thus providing an
additional control of resonant waveguide transmission and Fano resonances. We further demo
nstrate that this
enhancement may result in the lowering of the bistability threshold and switching power of
by several orders of magnitude. Finally, we show that employing such enhancements is of pa
for the design of all-optical devices based on slow-light photoni
c crystal waveguides.
Copyright © by the respective publisher.
This article may be downloaded for personal use only.
Any other use requires prior permission of the author
and the publisher.