Optimization of nonlinear dispersive APML ABC for the FDTD analysis of optical solitons

We have investigated the parameter optimization for the nonlinear dispersive anisotropic perfectly matched layer (A-PML) absorbing boundary conditions (ABCs) for the two- and the three-dimensional (2D and 3D) finite-difference time-domain (FDTD) analyses of optical soliton propagation. The proposed PML is applied to the FDTD method of the standard and the high-spatial-order schemes. We first searched for the optimum values of the loss factor, permittivity, and the order of polynomial grading for particular numbers of APML layers in a two-dimensional (2-D) setting with Kerr and the Raman nonlinearity and Lorentz dispersion, and then we applied the optimized APML to a full three-dimensional (3-D) analysis of nonlinear optical pulse propagation in a glass substrate. An optical pulse of spatial and temporal soliton profile has been launched with sufficient intensity of electric field to yield a soliton pulse, and a reflection of -60dB has been typically obtained both for the 2-D and the 3-D cases.     «

We have investigated the parameter optimization for the nonlinear dispersive anisotropic perfectly matched layer (A-PML) absorbing boundary conditions (ABCs) for the two- and the three-dimensional (2D and 3D) finite-difference time-domain (FDTD) analyses of optical soliton propagation. The proposed PML is applied to the FDTD method of the standard and the high-spatial-order schemes. We first searched for the optimum values of the loss factor, permittivity, and the order of polynomial grading for...     »

boundary-value problems, dispersion, permittivity, finite difference time-domain analysis, optimisation, wavelet, optical dispersion, optical losses, FDTD analysis, diffraction, nonlinearity, optical solitons, Lorentz dispersion, Raman spectra, anisotropic perfectly matched layer absorbing boundary conditions, Kerr nonlinearity, loss factor, nonlinear dispersive APML ABC, optical Kerr effect, parameter optimization, polynomial grading, Raman nonlinearity, finite difference time domain (FDTD), Lorentz, Debye, Kerr, perfectly matched layer (PML), Raman, soliton     «

boundary-value problems, dispersion, permittivity, finite difference time-domain analysis, optimisation, wavelet, optical dispersion, optical losses, FDTD analysis, diffraction, nonlinearity, optical solitons, Lorentz dispersion, Raman spectra, anisotropic perfectly matched layer absorbing boundary conditions, Kerr nonlinearity, loss factor, nonlinear dispersive APML ABC, optical Kerr effect, parameter optimization, polynomial grading, Raman nonlinearity, finite difference time domain (FDTD), Lo...     »