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PROBLEM SET 1.7

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1 Run program fd1d_1_5.py to simulate a complex dielectric material. Duplicate the results of Fig. 1.6.

2 Verify that your calculation of the sine wave in the lossy dielectric is correct: That is, it is the correct amplitude going into the slab, and then it attenuates at the proper rate (Appendix 1.A).

3 How would you write an absorbing boundary condition for a lossy material?

4 Simulate a pulse hitting a metal wall. This is very easy to do, if you remember that metal has a very high conductivity. For the complex dielectric, just use σ = 1e6 or any large number. (It does not have to be the correct conductivity of the metal, just very large.) What does this do to the FDTD parameters ca and cb? What result does this have for the field parameters Ex and Hy? If you did not want to specify dielectric parameters, how else would you simulate metal in an FDTD program?

Electromagnetic Simulation Using the FDTD Method with Python

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