Technical Issues - Designs on Multiple Substrates II

Continuation of Design on Multiple Substrates I
See also Wedge Mode Massive Layers

Consider a design with 0.02% transmittance. The same stack is deposited on the second parallel surface of a nonabsorbing substrate. The total transmittance is 0.01% instead of 0.0004%. This is correct and the result of multiple internal incoherent reflections between massive surfaces. A way to increase blocking is to substitute wedge for parallel. In that way, energy walks off the assembly. While examples below refer to coatings on a single substrate, it applies equally to assemblies with multiple substrates.

DESIGN 2.61.3101 added Side 2 mode FWD Wedge. The mode applies only to designs with massive layers and is otherwise disabled. Prior to DESIGN 2.61.4517 Option 6 was enabled but equivalent to Option 1 when no massive layers.

By eliminating reflections from secondary surfaces, a wedged substrate increases blocking of filters containing coatings on multiple surfaces. Another method is to utilize a slightly absorbing substrate.


Image at right: design with massive layers


Wedge mode assumes there are no reflections between massive surfaces. Reflectance is the reflectance of the first surface only while transmittance is the product of each element. When activated  Wedge  is displayed in the status bar. In actual practice, the wedge angle must be sufficient for reflections to walk off he assembly.
 
Note: FWD Wedge is not the same as FWD Side 2 T only wherein %T is measured through the optic while %R is measured with its uncoated surface treated to eliminate reflection.

As example we consider the IR bandpass Fnum.faw design (included in the FilmStar installation) centered at 1640 nm. A second (Side 2) design is centered at 1630 nm. We set k = 0.0001 for both L and H materials.

Wedge mode is equivalent to multiplying two separate filters in FWD ignore Side 2 mode. Reflectance is Side 1 reflectance (R1) while transmittance is given by T1*T2. The Side 2 calculation sets substrate thickness to zero; otherwise substrate absorption would be counted twice. Example: Download Fnum-Diab.faw (Side 1), Fnum-1630.faw (Side 2) and run BASIC program TwoSideWedge.bas. Finally open Fnum-Diab-1630-1640.faw and evaluate in Side 2 mode 1 (Parallel) and mode 6 (Wedge). As seen in the plot below, Both Sides and Wedge traces overlap as expected.

TwoSideWedge.bas provides an alternative for users who do not need to simultaneously design coatings on both sides. Want to test absorption in the substrate (massive layer)? Set SUB k = 0.00001 in Fnum-Diab.faw and Fnum-1630.faw. Set massive material G k = 0.00001 in Fnum-Diab-1630-1640.faw and regenerate the curves shown below. Not sure what a massive layer is? No idea how to run a BASIC program? Contact FTG Software for an explanation via ZOOM. When substrate k>0 the BASIC program requires DESIGN 2.61.3058 or newer. (Contact FTG for a workaround.)

The green Both Sides plot is covered by the teal Wedge plot. Using FSPlot zoom (see below) we find that blocking is improved by a factor ~200. If you try the suggested exercise (substrate k = 0.00001) you will note much less improvement because blocking is already increased by the absorbing substrate.

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Last updated on October 11, 2023