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In this paper, we present the theoretical studies of a refractive index mapto implement a Gauss to J0-Bessel-Gauss convertor. We theoretically demonstratethe viability of such device by solving the inverse electromagnetic problem.The computed conversion efficiency is 90%. The theoretical results, obtainedfrom the beam conversion efficiency, self-regeneration, and propagation throughan opaque obstruction; demonstrate that a 2D graded index map of the refractiveindex can be used to transform a Gauss beam into a J0-Bessel-Gauss beam. To thebest of our knowledge, this is the first demonstration of such beamtransformation by means of a 2D index-mapping which is fully integrable insilicon photonics based planar lightwave circuits (PLC). The concept device issignificant for the eventual development of a new array of technologies, suchas micro optical tweezers, optical traps, beam reshaping and non-linear beamdiode lasers.

Generation of J0-Bessel-Gauss Beam by an heterogeneous refractive index map