Purcell effect in nonlinear photonic structures: a coupled mode theory analysis.
We develop a coupled mode theory (CMT) model of the behavior of a polarization source in a general photonic structure, and obtain an analytical expression for the resulting generated electric field; loss, gain and/or nonlinearities can also be modeled. Based on this treatment, we investigate the criteria needed to achieve an enhancement in various nonlinear effects, and to produce efficient sources of terahertz radiation, in particular. Our results agree well with exact finite-difference time-domain (FDTD) results. Therefore, this approach can also in certain circumstances be used as a potential substitute for the more numerically intensive FDTD method.
Hamam
Rafif E
RE
Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. rafif@mit.edu
Ibanescu
Mihai
M
Reed
Evan J
EJ
Bermel
Peter
P
Johnson
Steven G
SG
Ippen
Erich
E
Joannopoulos
J D
JD
Soljacic
Marin
M
D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D055095:Optics and Photonics; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation