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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Additional info for Computational methods for electromagnetic and optical systems
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 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 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 0 Hz electromagnetic ®elds in Regions 1±3 as a function of y Ày, which is the location of the ®eld relative to the incidence side of the Region 1±2 interface (see Fig.