Optical bistability in a nonlinear Cantor corrugated waveguide

Nonlinear distributed-feedback structures as passive optical limiters

“…The modeling was done using the transfer matrix method 23,24 adapted to the case of nonlinear materials. [25][26][27] The relation between the coefficients a of the forward-propagating wave and b of the backwardpropagating wave in layers j and j ϩ 1 may be written 23,24 as in which k ϭ ͓2(n 0 ϩ n nl I)͔/ is the propagation constant, the intensity is given by I ϭ ͉a n ͉ 2 ϩ ͉b n ͉ 2 , is the wavelength of the light, and t is the layer thickness. We designate the matrix-relating layers j and j ϩ 1 by M jϩ1 ; thus the electric field at the beginning of the multilayer structure is related to the field at the far end by…”

Optical properties of quasi-periodic (self-similar) structures

“…If a triadic-Cantor structure is considered, the -above formula remain valid but the fractional content changes as (3N _2N)db 2Nda (3N _2N)db (11) where da and db are the thickness of the smaller layers of the structure. …”

Tunable resonance transmission modes in hybrid heterostructures based on porous silicon

“…Important applications for quasicrystal-type structures, such as band-edge lasing [ 12 ], optical frequency-selective filters [ 13 ], efficient nonlinear filters [ 14 ], bistability [ 15 ], and switching [ 16 ], have been suggested. In optical sensor applications based on PCs, the sensitivity is associated with the capacity for binding analyte molecules to the surface of the layers [ 17 ].…”