By Dennis M. Sullivan(auth.)
A elementary, easy-to-read advent to the finite-difference time-domain (FDTD) method
Finite-difference time-domain (FDTD) is among the fundamental computational electrodynamics modeling suggestions on hand. because it is a time-domain strategy, FDTD recommendations can hide a large frequency diversity with a unmarried simulation run and deal with nonlinear fabric homes in a average way.
Written in an instructional model, beginning with the best courses and guiding the reader up from one-dimensional to the extra advanced, third-dimensional courses, this e-book presents an easy, but finished advent to the main universal strategy for electromagnetic simulation. This totally up to date variation provides many new functions, together with the FDTD strategy getting used within the layout and research of hugely resonant radio frequency (RF) coils frequently used for MRI. every one bankruptcy encompasses a concise clarification of a necessary notion and guide on its implementation into computing device code. tasks that elevate in complexity are incorporated, starting from simulations in loose house to propagation in dispersive media. also, the textual content deals downloadable MATLAB and C programming languages from the booklet aid site.
Simple to learn and classroom-tested, Electromagnetic Simulation utilizing the FDTD Method is an invaluable reference for practising engineers in addition to undergraduate and graduate engineering students.
Content:
Chapter 1 One?Dimensional Simulation with the FDTD strategy (pages 1–19):
Chapter 2 extra on One?Dimensional Simulation (pages 21–52):
Chapter three Two?Dimensional Simulation (pages 53–84):
Chapter four Three?Dimensional Simulation (pages 85–111):
Chapter five Examples of Electromagnetic Simulation utilizing FDTD (pages 113–150):
Chapter 6 Quantum Simulation (pages 151–167):
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Additional resources for Electromagnetic Simulation Using the FDTD Method, Second Edition
Sample text
Does the result look the way you would expect. Particularly at 2000 THz? 5 Simulation of a wave propagating in free space and striking a plasma medium. The plasma has the properties of silver: fp = 2000 THz and νc = 57 THz. The propagating wave has a center frequency of 4000 THz. After 1000 time steps, it has completely passed through the plasma. 5 FORMULATING A LORENTZ MEDIUM The Debye model describes a single-pole frequency dependence. We now move to the next level, which is a two-pole dependence referred to as the Lorentz formulation: ε1 εr∗ (ω) = εr + .
48b) t · z−1 E(z). 5 1. c to simulate a Lorentz medium with the properties used in Fig. 6. Calculate the Fourier amplitudes at 50, 100, and 200 MHz. Considering Fig. 6, do you get the results you expect? 2. A. 3. FDTD simulation has been used extensively to model the effects of electromagnetic radiation on human tissue for both safety (8) and for therapeutic applications (9). Human muscle tissue is highly frequency dependent. 1 shows how the dielectric constant and the conductivity of muscle vary with frequency (10).
The upper limit is tT , the time at which the FDTD iteration is halted. Rewrite Eq. 12) can be divided into its real and imaginary parts t. 14a) imag_pt[m,k]= imag_pt[m,k]+ex[k]*sin(2*pi*freq(m)*dt*n). 14b) For every point k in the region of interest, we require only two computer words of memory for every frequency of interest fm . 15a) phase[m,k]= atanw(imag_pt[m,k],real_pt[m,k]). 15b) Note that there is an amplitude and phase associated with every frequency at each cell (1, 2). 2c at the end of the chapter calculates the 26 MORE ON ONE-DIMENSIONAL SIMULATION Ex 1 0 −1 Amp (a) Time Domain T = 200 20 40 60 80 100 120 140 160 180 200 Freq.