What is the available technique used for fabricating micro-convex lens at the fiber tip?

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Radosław Chrapkiewicz

One possible way to print an arbirary stucture on a fiber tip, in particular a lens, is the Nanoscribe printing, see attatched paper as an example. Maybe somebody at your univeristy has such device.

http://www.nanoscribe.de/en/

Article Microstructured gradient-index antireflective coating fabric...

C.G Treviño-Palacios

Chemical polishing may be the easiest way. Dip the fiber in a mixure of hydrofloric and sulfuric acid. This tend to round tips and corners in glass. I have use HF for micropolishing and have round clean surfaces using a 30% diluted acid and kept it for 20-40 min - this may work on a fiber tip and obtain a microlens. Try and error, good luck. Post the results.