Abstract
Nondiffracting waves constitute a solid and fruitful national theoretical and experimental research field, with a variety of current studies in Physics and Electrical Engineering, viz. acoustics, microwaves and optics, free space communication, remote sensing, optical alignment, biomedical optics, medicine and so on. In particular, significant theoretical investigation have been recently carried out by prof. Leonardo A. Ambrosio with scalar Bessel beams (BB) and their discrete superpositions (the so-called Frozen Waves, FW), envisioning potential applications in optical trapping. As a consequence of research cooperation, an interesting interaction and knowledge exchange has emerged with the optical group of the University of Rouen, France, particularly with prof. emeritus Gérard Gouesbet, one of the most proeminet specialists in the world in electromagnetic scattering and responsable for most of the development of the so-called generalized Lorenz-Mie theory (GLMT) during the 80's. In view of that, this project aims to achieve a deeper theoretical and numerical analysis regarding the validity of the so-called "localized approximation" and efficient descriptions of FWs from vector approaches. Indeed, such an analysis started during 2016 with single BBs but, due to the significant ammount of work published at scientific journals and conferences on FWs as alternative light beams for optical trapping, the validity of those results so far obtained (or even a more efficient and reliable description of such optical wave fields) becomes imperative in the search for experimental verifications and confrontations. This project is intended to be developed during one and a half month at the dependencies of the University of Rouen, France, being located as a frontier in the search for accurate theoretical predictions for the introduction, in optical trapping systems, of this important and promising class of nondiffracting beams capable of overcoming both diffraction and attenuation.
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