However, their numerical implementations are more complex than that of the ADE with little accuracy improvement. It is based on the discretization of the dispersion relation with the convolutions that include current density convolution (JEC), recursive convolution (RC), and piecewise linear recursive convolution (PLRC). Different from the ADE method, the DC-DR method proposed in can model all dispersive media with a single general formulation. Among them, the ADE method is simple and applicable for handling linear and nonlinear dispersive media, and its capability can be enhanced greatly by using the complex- conjugate pole-residue pair (CC-PR), critical points (CP), and rational-fraction dispersion (RFM) techniques developed recently. In general, the FDTD schemes for modeling dispersive media can be divided into several categories: auxiliary differential equation (ADE) method, Z-transform technique, and discrete convolution of the dispersion relation (DC-DR) method.
Introductionĭue to its simplicity in directly discretizing Maxwell’s curl equations in time domain and its ability for obtaining a wideband response with a single run of simulation, the Finite-Difference Time-Domain method (FDTD) has been widely used for modeling various isotropic and anisotropic dispersive media and structures for RF to Optical applications. The numerical results verify the stability, accuracy and computational efficiency of the proposed one-step leapfrog ADI-FDTD algorithm in comparison with analytical results and the results obtained with the other methods. The adapted method is then applied to characterize (a) electromagnetic wave propagation in a rectangular waveguide loaded with a magnetized plasma slab, (b) transmission coefficient of a plane wave normally incident on a monolayer graphene sheet biased by a magnetostatic field, and (c) surface plasmon polaritons (SPPs) propagation along a monolayer graphene sheet biased by an electrostatic field. The final equations are presented in the form similar to that of the conventional FDTD method but with second-order perturbation. These currents are then solved with the auxiliary differential equation (ADE) and then incorporated into the one-step leapfrog ADI-FDTD method. It models material dispersive properties with equivalent polarization currents.
The one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method is reformulated for simulating general electrically dispersive media. Note: Author names will be searched in the keywords field, also, but that may find papers where the person is mentioned, rather than papers they authored.Use a comma to separate multiple people: J Smith, RL Jones, Macarthur.Use these formats for best results: Smith or J Smith.For best results, use the separate Authors field to search for author names.Use quotation marks " " around specific phrases where you want the entire phrase only.Question mark (?) - Example: "gr?y" retrieves documents containing "grey" or "gray".Asterisk ( * ) - Example: "elect*" retrieves documents containing "electron," "electronic," and "electricity".Improve efficiency in your search by using wildcards.Example: (photons AND downconversion) - pump.Example: (diode OR solid-state) AND laser.Note the Boolean sign must be in upper-case. Separate search groups with parentheses and Booleans.Keep it simple - don't use too many different parameters.
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