Modeling sources in the FDTD formulation and their use in quantifying source and boundary condition errors

The modeling of voltage and current sources as either added or replaced sources in FDTD simulations is described and their differences discussed in terms of a transmission line analogy. An infinitesimal current element (ICE) is used to illustrate the validation of added source modeling and to study the errors involved with modeling an infinitesimal element within the finite-sized FDTD grid. This model is also used to illustrate the behavior of radiation boundary conditions as their near-field position with respect to the source is varied. We characterize the errors due to modeling and boundary conditions and give guidelines for obtaining acceptable accuracy in simulations. >

[1]  Simon Ramo,et al.  Fields and waves in modern radio , 1944 .

[2]  E. Jordan,et al.  Electromagnetic Waves and Radiating Systems , 1951 .

[3]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[4]  Marcelo Alonso,et al.  Fields and waves , 1967 .

[5]  A. Taflove,et al.  Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations , 1975 .

[6]  G. Mur Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[7]  W. Scott,et al.  Accurate computation of the radiation from simple antennas using the finite-difference time-domain method , 1989, Digest on Antennas and Propagation Society International Symposium.

[8]  A. Reineix,et al.  Analysis of microstrip patch antennas using finite difference time domain method , 1989 .

[9]  M. Fusco,et al.  FDTD algorithm in curvilinear coordinates (EM scattering) , 1990 .

[10]  Dennis M. Sullivan,et al.  Three-dimensional computer simulation in deep regional hyperthermia using the finite-difference time-domain method , 1990 .

[11]  Jin Au Kong,et al.  Finite element and finite difference methods in electromagnetic scattering , 1990 .

[12]  Allen Taflove,et al.  The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures: Finite Element and Finite Difference Methods in Electromagnetic Scattering , 1990 .

[13]  Nicolaos G. Alexopoulos,et al.  Simple approximate formulas for input resistance, bandwidth, and efficiency of a resonant rectangular patch , 1991 .

[14]  C.H. Durney,et al.  Computer-aided design of two dimensional electric-type hyperthermia applicators using the finite-difference time-domain method , 1991, IEEE Transactions on Biomedical Engineering.

[15]  K. Yee,et al.  A subgridding method for the time-domain finite-difference method to solve Maxwell's equations , 1991 .

[16]  Dennis M. Sullivan,et al.  Comparison of measured and simulated data in an annular phased array using an inhomogeneous phantom , 1992 .

[17]  E. Tonye,et al.  Computer simulation of multimicrostrip patches antenna problem , 1992 .

[18]  A. Taflove,et al.  Initial results for automated computational modeling of patient-specific electromagnetic hyperthermia , 1992, IEEE Transactions on Biomedical Engineering.

[19]  P. A. Tirkas,et al.  Finite-difference time-domain method for antenna radiation , 1992 .

[20]  D. Roper,et al.  Analysis of overmoded waveguides using the finite-difference time domain method , 1992, 1992 IEEE Microwave Symposium Digest MTT-S.

[21]  O. Gandhi,et al.  Numerical simulation of annular-phased arrays of dipoles for hyperthermia of deep-seated tumors , 1992, IEEE Transactions on Biomedical Engineering.

[22]  Raj Mittra,et al.  Modeling three-dimensional discontinuities in waveguides using nonorthogonal FDTD algorithm , 1992 .

[23]  Nicolaos G. Alexopoulos,et al.  Radiation characteristics of Hertzian dipole antennas in a nonreciprocal superstrate-substrate structure , 1992 .

[24]  R. Luebbers,et al.  FDTD calculation of radiation patterns, impedance, and gain for a monopole antenna on a conducting box , 1992 .