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EPIPPROP

A WDM/DWDM model for AWGs and Echelle Gratings

Surface Roughness

Model the effect of variations of the layer thicknesses

Epipprop allows you to model the effect of surface roughness in echelle gratings and planar concave gratings to a first order approximation, i.e. the effect of smooth variations in the thickness of the layers of the epitaxy.

Any variation in the layer thicknesses will lead to a loss of phase coherence due to the spatial modulation of the effective index of the guiding modes across the free propagation region. This effect can be quite strong in high index contrast platforms with thin guiding layers. Epipprop gives you the tools to simulate this effect for a randomised surface characterised by a coherence length and root mean squared thickness variation.

Here we show a demonstration of the effect of surface roughness in an SOI platform device with 300um thick Si. The roughness is applied to the Si layer in the free propagation region. 

No surface roughness:

Design and response without roughness

(left) The device layout with the grey region marking where surface variation occurs
and (right) resulting spectrum with no surface variation.

Surface roughness, coherence length 5um:

Design and response without roughness

(left) 3D view of the surface variation (position of interface across the free space region)
for a coherence length of 5μm and rms thickness of 0.5nm and (right) the resulting device performance.

Surface roughness, coherence length 25um:

Design and response without roughness

(left) 3D view of the surface variation (position of interface across the free space region)
for a coherence length of 25μm and rms thickness of 0.5nm and (right) the resulting device performance.