By Dennis M. Sullivan
ISBN-10: 1118459393
ISBN-13: 9781118459393
An easy, easy-to-read creation to the finite-difference time-domain (FDTD) method
Finite-difference time-domain (FDTD) is without doubt one of the fundamental computational electrodynamics modeling recommendations on hand. because it is a time-domain process, FDTD options can hide a large frequency diversity with a unmarried simulation run and deal with nonlinear fabric houses in a ordinary way.
Written in an educational style, beginning with the easiest courses and guiding the reader up from one-dimensional to the extra advanced, third-dimensional courses, this booklet presents an easy, but accomplished advent to the main frequent process for electromagnetic simulation. This totally up to date variation offers many new functions, together with the FDTD approach getting used within the layout and research of hugely resonant radio frequency (RF) coils frequently used for MRI. each one bankruptcy incorporates a concise clarification of an important suggestion and guideline on its implementation into computing device code. initiatives that elevate in complexity are integrated, starting from simulations in unfastened area to propagation in dispersive media.
Simple to learn and classroom-tested, Electromagnetic Simulation utilizing the FDTD procedure is an invaluable reference for practising engineers in addition to undergraduate and graduate engineering scholars.
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Additional info for Electromagnetic Simulation Using the FDTD Method (2nd Edition)
Example text
3b) into a time domain difference equation for implementation into FDTD. The first task is to shift from the frequency domain to the time domain. 4) σ E(ω). 5) and substitute Eq. 4) into Eq. 3b): D(ω) = εr E(ω) + Taking the first term into the time domain is not a problem because it is a simple multiplication. In the second term, Fourier theory tells us that 1/j ω in the frequency domain is integration in the time domain, so Eq. 5) becomes D(t) = εr E(t) + σ j ωε0 t 0 E(t )dt . 23 REFORMULATION USING THE FLUX DENSITY We will want to go to the sampled time domain, so the integral will be approximated as a summation over the time step t: σ· t D = εr E + ε0 n n n Ei .
Vol. EMC-32, August 1990, pp. 222–227. 4. R. M. C. Hagness, and A. Taflove, Direct time integration of Maxwell’s equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses, Optic. , vol. 16, September 1991, pp. 1412–1411. 5. O. P. Gandhi, B. Q. Gao, and Y. Y. Chen, A frequency-dependent finite-difference time-domain formulation for general dispersive media, IEEE Trans. Microw. Theor. , vol. MTT-41, April 1993, pp. 658–665. 6. D. M. Sullivan, Frequency-dependent FDTD methods using Z transforms, IEEE Trans.
Theor. , vol. MTT-38, July 1990, pp. 919–927. 2. D. M. Sullivan, Mathematical methods for treatment planning in deep regional hyperthermia, IEEE Trans. Microw. Theor. , vol. MTT-39, May 1991, pp. 862–872. 3. R. Luebbers, F. Hunsberger, K. Kunz, R. Standler, and M. Schneider, S frequencydependent finite-difference time-domain formulation for dispersive materials, IEEE Trans. Electromagn. , vol. EMC-32, August 1990, pp. 222–227. 4. R. M. C. Hagness, and A. Taflove, Direct time integration of Maxwell’s equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses, Optic.
Electromagnetic Simulation Using the FDTD Method (2nd Edition) by Dennis M. Sullivan
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