Modelling the longitudinal intensity pattern of diffraction resistant beams in stratified media
Grazielle de A. Louren\c{c}o-Vittorino, Michel Zamboni-Rached

TL;DR
This paper presents a theoretical method for controlling the longitudinal intensity pattern of diffraction resistant beams, specifically Frozen Wave beams, in stratified media, accounting for multiple reflections and transmissions across layers.
Contribution
It introduces a matrix-based approach to shape diffraction resistant beams in stratified media and discusses minimizing reflections using thin films, advancing beam control in complex layered environments.
Findings
Successful control of beam intensity patterns after multiple layer interactions
Development of a matrix method for stratified media with many layers
Potential applications in remote sensing, medicine, and defense
Abstract
In this paper, we study the propagation of the Frozen Wave type beams through non-absorbing stratified media and develop a theoretical method capable to provide the desired spatially shaped diffraction resistant beam in the last material medium. In this context, we also develop a matrix method to deal with stratified media with large number of layers. Additionally, we undertake some discussion about minimizing reflection of the incident FW beam on the first material interface by using thin films. Our results show that it is indeed possible to obtain the control, on demand, of the longitudinal intensity pattern of a diffraction resistant beam even after it undergoes multiple reflections and transmissions at the layer interfaces. Remote sensing, medical and military applications, noninvasive optical measurements, etc., are some fields that can be benefited by the method here proposed.
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