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RF MODULE

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Subdomain Settings<br />

1 Open the Subdomain Settings dialog box from the Physics menu and specify the<br />

subdomain settings according to the following table. Prior to specifying the<br />

refractive index, n, it is necessary to click the Specify material properties in terms of<br />

refractive index option button.<br />

PROPERTY SUBDOMAIN 1 SUBDOMAIN 2<br />

n n_Air n_GaAs<br />

2 Click the Init tab and enter Ez in the Ez(t 0 ) edit field for both subdomains.<br />

3 Click OK.<br />

Integration Coupling Variables<br />

When the nonlinear solver calculates the eigenvalue it is necessary to provide a second<br />

equation to the system. This model uses a normalization taking the average value of<br />

the squared magnitude of the electric field over the entire domain. The average value<br />

is calculated using an integration coupling variable, and an ODE forces that variable<br />

equal to 1.<br />

1 From the Options menu choose Integration Coupling Variables>Subdomain Variables.<br />

2 In the dialog box that appears, define two variables according to the table below.<br />

Make sure that the Global destination check box is selected for both variables.<br />

NAME SUBDOMAIN EXPRESSION<br />

A 1,2 1<br />

nEz 1,2 Ez*conj(Ez)/A<br />

3 Click OK.<br />

BANDGAP ANALYSIS OF A PHOTONIC CRYSTAL | 247

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