I would like to design a micro lens to focus the output of various fibers onto an area of approximatel 5 square microns. The idea is to fabricate a roughly hemispherical lens on top of a nanowire based photon detector. Light will be delievered to the detecotr with a fiber that will be pressed against the fabricated lens.
Should I model the output of the fiber as a gauusian? Should the x- and y-span be the size of the fiber core? I am interested in a region a few micrometers away from the end of the fiber. Should I use the thin-lens option (instead of scalar approximation?) Is there a tutorial for this? (I looked but have not found one that's very helpful yet). Thanks!
If you are trying to fuse a lens onto a fibre, be aware that the fibre does not have a uniform refractive index across it (which is why it works). You could try a second short length of fibre with a slightly different refractive index. Look up the literature on graded-index lenses (GRINs). It should help. Your spot size is not much smaller thans the core of a single mode fibre so your task should not be difficult. If, however, you are using multimode fibre then the problem becomes a bit harder!
Best wishes
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