By Dennis M. Sullivan(auth.)
A basic, easy-to-read advent to the finite-difference time-domain (FDTD) method
Finite-difference time-domain (FDTD) is likely one of the basic computational electrodynamics modeling recommendations to be had. because it is a time-domain process, FDTD strategies can disguise a large frequency variety with a unmarried simulation run and deal with nonlinear fabric homes in a usual way.
Written in an instructional style, beginning with the easiest courses and guiding the reader up from one-dimensional to the extra complicated, 3-dimensional courses, this ebook presents an easy, but entire creation to the main accepted approach for electromagnetic simulation. This totally up-to-date version offers many new functions, together with the FDTD strategy getting used within the layout and research of hugely resonant radio frequency (RF) coils usually used for MRI. each one bankruptcy includes a concise rationalization of a necessary proposal and guide on its implementation into computing device code. initiatives that elevate in complexity are integrated, starting from simulations in unfastened house to propagation in dispersive media. also, the textual content bargains 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 procedure (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 info for Electromagnetic Simulation Using the FDTD Method, Second Edition
Sample text
This is a similar situation. If the medium that we are trying to simulate has a Debye term with a time constant of t0 , we must be sure that our time steps are small compared to t0 , say t ≤ t0 /10. This insures that Eq. 27) is a fairly good approximation. 3 1. c implements the frequency-dependent formulation. Get this program running and repeat the results of Fig. 3. 4 MORE ON ONE-DIMENSIONAL SIMULATION FORMULATION USING Z TRANSFORMS If you have been studying the Z transform theory in Appendix A, or if you are already familiar with Z transforms, you will now know the advantage of using Z transforms for the FDTD formulation of frequency-dependent media (6).
The difference is that we avoided doing anything with integrals and their approximations. As we move to formulations that are more complicated, the advantage of the Z transform will become evident. 1 Simulation of Unmagnetized Plasma In this section, we will demonstrate the versatility of the methods we have learned in this chapter by simulating a medium completely different from the media we have been working with so far. 33) ωp = 2πfp ; fp = the plasma frequency; νc = the electron collision frequency.
The plasma has the properties of silver: fp = 2000 THz and νc = 57 THz. The propagating wave has a center frequency of 500 THz. After 1200 time steps, it has been completely reflected by the plasma. Of course, since we are simulating much higher frequencies, we will need a much smaller cell size. In the course of this problem, it will be necessary to simulate EM waves of 4000 THz (tera = 1012 ). 75 × 10−7 . 15 4 × 10 In following our rule of thumb of at least 10 points per wavelength, a cell size of 1 nm, that is, x = 10−9 , will be used.