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Multi-layer stacks can have complicated reflection and transmission patterns.  In the case of unpatterned slabs, there are simple analytic formulas for R and T as a function of angle for each polarization.  These example show how to measure the reflection and transmission of a multilayer stack with an FDTD simulation.  

 

In many cases, a 1D stack simulation is used an an initial starting point to verify the accuracy of the FDTD solution, since an analytic solution exists.  

 

Solvers

FDTD

See also

Transfer matrix RT calulator

stack_planewave_4layer_zoom74

 

Two approaches are available for studying 1D systems:  Use the analytic 1D stack RT script function or use a direct FDTD simulation.

Analytic 1D stack RT script function

The stackrt script function uses an analytic transfer matrix approach to calculate the complex reflection and transmission coefficients of a 1D stack.

 

For more information, see the Transfer matrix RT calulator page.  

 

Direct FDTD simulation

When the stackrt script function described above is not sufficient, an FDTD simulation can be used to study a 1D stack.  See the following pages for examples and more information.

 

RT of a 4 layer stack

Dipole technique

Evanescent coupling

Surface plasmon resonance

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