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Originally Posted by Turtle
Your mention of permiability brings to mind the area of math called "Percolation Theory". In this field one investigates the spread of phenomena; ie. forest fires or oil deposits, through a medium(a forest or a rock formation). Since you have described a situation in which it appears light is percolating through a medium, perhaps some of the equations from this area may serve to model light as well. 
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Thanks for the pointer.
On first inspection, it would appear that there may some mileage in using percolation.