Computational methods for electromagnetic and optical by John M. Jarem

By John M. Jarem

This article introduces and examines various spectral computational concepts - together with k-space concept, Floquet idea and beam propagation - which are used to research electromagnetic and optical problems.

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6 that a higher oscillation of ÀPWE ‡ PWM and Im…POUT † occurs than in Fig. 2. This higher internal re¯ection in the slab is caused by the high re¯ectivity of the EPC at the Region 2±3 interface. Figure 7 shows the plot of normalized re¯ected power (re¯ected power/incident power, db) of a uniform slab that results when a plane wave is normal to the slab. Region 3 is an EPC, and in Region 2, 2 ˆ 7 À Copyright © 2000 Marcel Dekker, Inc. Figure 5 Plots of the Re…Ex †, Im…Ex †, and jEx j plotted versus the distance y~ .

12 and 13 are shown. (solid line) are numerically indistinguishable from one another, showing that the numerical computations have been carried out accurately. Figure 14 also shows plots of Re…POUT †, which decrease as y~ out increases, and PD ˆ PDE ‡ PDM (PD is purely real), which increase as y~ out increases. As can be seen from Fig. 14, the sum of these two quantities, namely Re…POUT † ‡ PD adds to Re…PIN †, which is constant as y~out increases. It makes sense that the Re…POUT † decreases as y~ out increases, due to increased power loss as y~out increases.

11, the material slab represents a mismatched medium to the incident wave and thus the incident and re¯ected waves interfere in Region 1 forming a standing wave pattern. In Region 2, because the layer is lossy, one also observes that all three EM ®eld magnitudes Copyright © 2000 Marcel Dekker, Inc. Figure 11 Plots of the magnitudes of the Ex , Ey , and Uz ˆ 0 Hz electromagnetic ®elds in Regions 1±3 as a function of y ˆ Ày, which is the location of the ®eld relative to the incidence side of the Region 1±2 interface (see Fig.

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