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Applications of the nonlinear finite difference time domain (NL‐FDTD) method to pulse propagation in nonlinear media: Self‐focusing and linear‐nonlinear interfaces
Author(s) -
Ziolkowski Richard W.,
Judkins Justin B.
Publication year - 1993
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/93rs01100
Subject(s) - finite difference time domain method , nonlinear system , gaussian beam , beam propagation method , maxwell's equations , physics , finite difference method , optics , pulse (music) , solver , nonlinear medium , beam (structure) , photonics , kerr effect , electromagnetic pulse , nonlinear optics , time domain , computer science , mathematics , classical mechanics , quantum mechanics , mathematical optimization , refractive index , detector , thermodynamics , computer vision
In an effort to meet an ever increasing demand for more accurate and realistic integrated photonics simulations, we have developed a multidimensional, nonlinear finite difference time domain (NL‐FDTD) Maxwell's equations solver. The NL‐FDTD approach and its application to the modeling of the interaction of an ultrashort, optical pulsed Gaussian beam with a Kerr nonlinear material will be described. Typical examples from our studies of pulsed‐beam self‐focusing, the scattering of a pulsed‐beam from a linear‐nonlinear interface, and pulsed‐beam propagation in nonlinear waveguides will be discussed.