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Recently, we have developed the method of broadband Green's function with low wavenumber extraction (BBGFL) to investigate the problem of arbitrary shaped waveguides [1]. In the past, the Boundary Integral-the Resonant Mode Expansion (BIRME) [2, 3] method was applied to calculate the modes of an arbitrary shaped waveguide with a homogenous dielectric. In BIRME, a DC extraction is applied to remove...
Ultrashort laser interactions with dielectrics are numerically investigated by using a multi-physics approach based on Maxwell's equations coupled with a multiple rate free carrier density equation and with the integrated two-temperature model describing the energy transfer from the conduction band electrons to lattice. The model accounts for a complete Keldysh photoionization rate, impact ionization...
Results from numerical simulations to detect small dielectric inclusions surrounded by dielectric random scatterers have shown the feasibility of the MUltiple SIgnal Classification (MUSIC) algorithm, but further improvements must be made. In this paper, we consider the success of the multi-frequency MUSIC algorithm in detecting such inhomogeneities. Furthermore, we introduce the weighted multi-frequency...
Although Kirchhoff and subspace migration algorithms have been shown to be feasible for detecting various types of inhomogeneities, this has only been confirmed for cases where the inhomogeneities are located in a homogeneous medium. In this paper, we apply Kirchhoff and subspace migrations for the detection of small dielectric inhomogeneities enclosed by small randomly distributed dielectric scatterers...
In this contribution, we apply MUltiple SIgnal Classification (MUSIC) algorithm to the imaging of extended dielectric inhomogeneities that are completely embedded in an inhomogeneous medium with a smooth boundary. This application is based on the so-called physical factorization of the collected Multi-Static Response (MSR) matrix. Various numerical experiments are presented to demonstrate the pros...
Recently, nonlinear optical responses of the graphene have attracted much attention [1]. In this work, we theoretically investigate second harmonic generation (SHG) from bilayer-graphene (BLG) embedded in photonic crystals (PCs) using the transfer-matrix method [2]. Two kinds of cases are considered. One is a single BLG layer embedded in the defective PC (Fig. 1(a)), the other is a stack of BLG layers...
We have studied the propagation of the TE and TM modes and the photon density of states (PDOS) for a periodic multilayer heterostructure in a rectangular waveguide. A transfer matrix approach is employed to discretize the dielectric function profile of the dielectric multilayer heterostructures and the transmission functions are calculated by matching the boundary conditions at each interfaces. In...
The computation of scattering from multilayer dielectric bodies is studied by using the combined tangential formulation (CTF) of surface integral solution. Different from homogeneous bodies, the formulation of multilayer dielectric bodies includes the interaction between equivalent currents on different interfaces. The previous preconditioners for solution of homogeneous bodies are not efficient any...
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