Slab waveguide output divergence

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I have a question regarding the use a of slab waveguide.

 A light source ( LED ) is coupled into a slab waveguide, after a few
millimeters of propagation in the guide, I m wondering how to get beam
parameters at the output of the guide when it's free space propagation

Is there a link between input and output beam divergence or does it
only depends on the  waveguide geometry ?

Thank you for your answers,


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