Journal ArticleDOI
FDTD analysis of wave propagation in nonlinear absorbing and gain media
A.S. Nagra,Robert A. York +1 more
TLDR
In this paper, an explicit finite-difference time-domain (FDTD) scheme for wave propagation in certain kinds of nonlinear media such as saturable absorbers and gain layers in lasers is proposed.Abstract:
An explicit finite-difference time-domain (FDTD) scheme for wave propagation in certain kinds of nonlinear media such as saturable absorbers and gain layers in lasers is proposed here. This scheme is an extension of the auxiliary differential equation FDTD approach and incorporates rate equations that govern the time-domain dynamics of the atomic populations in the medium. For small signal intensities and slowly varying pulses, this method gives the same results as frequency-domain methods using the linear susceptibility function. Population dynamics for large signal intensities and the transient response for rapidly varying pulses in two-level (absorber) and four-level (gain) atomic media are calculated to demonstrate the advantages of this approach.read more
Citations
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Journal ArticleDOI
Meep: A flexible free-software package for electromagnetic simulations by the FDTD method
Ardavan Oskooi,David Roundy,Mihai Ibanescu,Peter Bermel,John D. Joannopoulos,Steven G. Johnson +5 more
TL;DR: This paper describes Meep, a popular free implementation of the finite-difference time-domain (FDTD) method for simulating electromagnetism, and focuses on aspects of implementing a full-featured FDTD package that go beyond standard textbook descriptions of the algorithm.
Journal ArticleDOI
Lasing action in strongly coupled plasmonic nanocavity arrays
Wei Zhou,Montacer Dridi,Jae Yong Suh,Chul Hoon Kim,Chul Hoon Kim,Dick T. Co,Michael R. Wasielewski,George C. Schatz,Teri W. Odom +8 more
TL;DR: It is found that optically pumped, two-dimensional arrays of plasmonic Au or Ag nanoparticles surrounded by an organic gain medium show directional beam emission, and behave as arrays of nanoscale light sources in the near-field.
Journal ArticleDOI
Real-time tunable lasing from plasmonic nanocavity arrays
Ankun Yang,Thang B. Hoang,Montacer Dridi,Claire Deeb,Maiken H. Mikkelsen,George C. Schatz,Teri W. Odom +6 more
TL;DR: By integrating gold nanoparticle arrays within microfluidic channels and flowing in liquid gain materials with different refractive indices, dynamic tuning of the plasmon lasing wavelength is achieved.
Journal ArticleDOI
Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media
TL;DR: Extensions of finite-difference time domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media in this article.
Journal ArticleDOI
Finite-difference time-domain model of lasing action in a four-level two-electron atomic system
Shih-Hui Chang,Allen Taflove +1 more
TL;DR: The method proposed in this paper is more versatile than the conventional modal expansion of the electromagnetic field for complex inhomogeneous laser geometries constructed in photonic crystals or light-localizing random media and permits in principle a much more robust treatment of the overall lasing dynamics of four-level gain systems integrated into virtually arbitrary electromagnetic field confinement geometry.
References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Journal ArticleDOI
Ultrafast pulse interactions with two-level atoms
TL;DR: In this paper, an iterative predictor-corrector finite-difference time-domain method is used to solve the semiclassical Maxwell-Bloch system numerically without invoking any of the standard approximations such as the rotating-wave approximation.
Journal ArticleDOI
A treatment by the FD‐TD method of the dispersive characteristics associated with electronic polarization
Tatsuya Kashiwa,Ichiro Fukai +1 more
TL;DR: In this article, the formulation of dispersive characteristics associated with an electronic polarization is discussed, which is appropriate for use in the finite-difference-time-domain (FD-TD) method and is based on the equation of polarization.
Journal ArticleDOI
Direct Time Integration of Maxwell's Equations in Nonlinear Dispersive Media for Propagation and Scattering of Femtosecond Electromagnetic Solitons
Peter M. Goorjian,Allen Taflove +1 more
TL;DR: The present approach is robust and should permit the modeling of two- and three-dimensional optical soliton propagation, scattering, and switching from the full-vector Maxwell’s equations.