Effective refractive index when two transparent medium are joined in s

[jayeshtrivedi]

Dear All,

If two layers of thickness d1 and d2 stacked on each other and having their absolute refractive index n1 and n2 .

Can we find effective refractive index of the combination with this data?

Thanks in advance.

Jayesh.

 

[Simon Bridge]

This is something you should be able to figure out for yourself.
Define "effective refractive index".
Apply the definition.

i.e. http://physics.stackexchange.com/questions/69231/effective-refractive-index

 

[Claude Bile]

Yes, but the calculation is not straightforward, because it depends on the mode profile - which is generally found by solving wave-equations.

Once you know the mode profile, the calculation becomes relatively straightforward, essentially it is just an average of the two indices, weighted by the mode fraction in each layer.

Claude.

 

[my2cts]

It is quite easy to program the solution for any number of layers using transfer matrices.
See wikipedia or any promising search result:
http://sjbyrnes.com/fresnel-solver-sourcecode.pdf