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[仿真]2[FDTD][Taflove-2003]nitial three-dimensional finite-difference time-domain phenomenology

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登录：2008-11-25
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0楼发表于: 2008-11-25 22:51:17

Initial three-dimensional finite-difference time-domain phenomenology study of the transient response of a large vertically coupled photonic racetrack 8&G9 ?n`I5
Jethro H.Greene and Allen Taf love
Department of Electrical and Computer Engineering,Northwestern University,2145 Sheridan Road,Evanston,Illinois 60208
Received March 31,2003
We report the initial three-dimensional finite-difference time-domain modeling of a vertically coupled photonic
racetrack.The modeling reveals details of the full suite of space–time behavior of electromagnetic-wave
phenomena involved in guiding,coupling,multimoding,dispersion,and radiation.This behavior is not easily
obtainable by analytical or full-vector frequency-domain methods,measurements of terminal properties,or
near-field scanning optical microscopy.?2003 Optical Society of America

The f inite-difference time-domain(FDTD)solution
method for Maxwell’s equations has been exten-
sively applied to model and design microwave and
photonic devices and circuits.1 FDTD models of
waveguiding photonic devices have used the effective
refractive-index approximation to reduce large-scale
three-dimensional(3-D)simulations to computation-
ally tractable two-dimensional(2-D)problems.Rele-
vant examples include reported FDTD models of
micrometer-scale rings,racetracks,and disk reso-
nators of various shapes.1–4 However,the very
nature of 2-D modeling prevents simulation of the
important class of guided-wave photonic structures
wherein the waveguide-to-resonator coupling occurs
in the vertical direction rather than sideways in the
plane of the resonator.
Recent progress in parallel computing now permits
direct full-wave FDTD modeling of 3-D photonic de-
vices and circuits.In this regard,this Letter reports
the formulation and results of what we believe to be
the f irst fully 3-D FDTD model of vertical waveguide
coupling and subsequent optical beam confinement in a
photonic racetrack.The present work extends to the
vertical coupling case previous efforts that used 2-D
FDTD modeling to obtain the phenomenology of side-
ways coupling.1,2 Furthermore,this Letter points the
way toward routine usage of 3-D FDTD modeling for
designing large,complex,micro-optical circuits.Such
modeling can reveal the full suite of space–time be-
havior of electromagnetic-wave phenome ..

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