Electromagnetic Simulation Using the FDTD Method (2nd by Dennis M. Sullivan

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By Dennis M. Sullivan

An easy, easy-to-read creation to the finite-difference time-domain (FDTD) method
Finite-difference time-domain (FDTD) is likely one of the basic computational electrodynamics modeling strategies to be had. because it is a time-domain procedure, FDTD options can hide a large frequency diversity with a unmarried simulation run and deal with nonlinear fabric homes in a normal way.

Written in an instructional model, beginning with the best courses and guiding the reader up from one-dimensional to the extra complicated, 3-dimensional courses, this publication offers an easy, but finished creation to the main established strategy for electromagnetic simulation. This totally up to date variation provides many new purposes, together with the FDTD process getting used within the layout and research of hugely resonant radio frequency (RF) coils frequently used for MRI. each one bankruptcy includes a concise clarification of a vital notion and guideline on its implementation into computing device code. initiatives that raise in complexity are incorporated, starting from simulations in unfastened house to propagation in dispersive media.

Simple to learn and classroom-tested, Electromagnetic Simulation utilizing the FDTD process is an invaluable reference for practising engineers in addition to undergraduate and graduate engineering scholars.

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Extra resources for Electromagnetic Simulation Using the FDTD Method (2nd Edition)

Example text

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. Antenn. , vol. AP-40, October 1992, pp. 1223–1230. 7. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering, Englewood Cliffs, NJ: Prentice Hall, 1991. 8. D. M. Sullivan, Use of the finite-difference time-domain method in calculating EM absorption in human tissues, IEEE Trans.

Suppose now that we are asked to calculate the E field distribution at every point in a dielectric medium subject to illumination at various frequencies. One approach would be to use a sinusoidal source and iterate the FDTD program until a steady state is reached and determine the resulting amplitude and phase at every point of interest in the medium. This would work, but then we must repeat the process for every frequency of interest. According to system theory, we can get the response to every frequency if we use an impulse as the source.

16–19. c. c. ; } Fourier Trans. 2f \n",T,pulse,dx[5]); /* Calculate Ex from Dx */ for ( k=0; k < KE-1; k++ ) { ex[k] = ga[k]*(dx[k] - ix[k] ) ; ix[k] = ix[k] + gb[k]*ex[k] ; } /* Calculate the Fourier transform of Ex. 3. ; /* Fourier Trans. ; /* Make sure tau is > 0. 2f \n",T,pulse,dx[5]); /* Calculate Ex from Dx */ for ( k=0; k < KE-1; k++ ) { ex[k] = ga[k]*(dx[k] - ix[k] - sx[k]) ; ix[k] = ix[k] + gb[k]*ex[k] ; sx[k] = del_exp*sx[k] + gc[k]*ex[k] ; } /* Calculate the Fourier transform of Ex. 1f \n",T); } } 3 TWO-DIMENSIONAL SIMULATION This chapter introduces two-dimensional simulation.

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