By John M. Jarem
This article introduces and examines various spectral computational strategies - together with k-space thought, Floquet thought and beam propagation - which are used to research electromagnetic and optical problems.
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Extra resources for Computational methods for electromagnetic and optical systems
25 is a result of the fact that the outward normal on the y~ end cap is a y . Using Eqs. , and to normalize the complex Poynting sionless coordinates x k0 x, H 2 ~ theorem equations p by an amount of power PFS INC ÁS= 20 E0 =1 p (watts), where 0 ~ 0 =~0 377 , 1 ~ 1 =~1 =0 (dimensionless), and H E02 =1 1 volt2 =m2 . With this normalization, and also carrying out all integrals in Eqs. 22, 24, 25, each term in Eq. 26 can be written as Copyright © 2000 Marcel Dekker, Inc.
This box is assumed to have end faces that have the cross section ÁS~ and are parallel to the interfaces of the slab. For this box we ®rst note that in the power ¯ow integral Pf , the integral over the lateral portion of the box (the portion between the end faces of the box) is zero. This follows since there is no variation in the EM ®elds or power ¯ow in the x- and z-directions. Thus the power ¯ow integral can be written as a sum of the power ¯ows as calculated over the two end faces of the box.
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. Figure 14 shows plots of Im POUT and the energy difference term ÀPWE PWM . As can be seen from Fig.