Diffraction-Attenuation resistant beams in absorbing media

Abstract

In this work, in terms of suitable superpositions of equal-frequency Bessel beams, we develop a theoretical method to obtain nondiffractive beams in (weakly conductive) absorbing media capable to resist the loss effects for long distances.

Analytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures

“…(16), (18), and (20, 21), the on-axis evolution of a TNP depends only on the frequency spectrum S(ω) of its corresponding INP Ψ IN P , contrary to the Rayleigh-Sommerfeld formula (8) which depends on the explicit mathematical expression of Ψ IN P . We also have extended our method to describe the truncated versions of the ANPs.…”

“…On the other hand, the extension of our method to the cases of ANPs truncated by finite apertures can be performed in a very simple way, just by multiplying our fundamental equations (16), (18) and (20,21) by the S(b ′ ) under consideration, and performing the relevant integration over the parameter b.…”

Localized Waves: A Historical and Scientific Introduction

“…In such theoretical and application areas, a noticeable contribution is the one presented in refs. [45,46,77], wherein, by suitable superpositions of Bessel beams endowed with the same frequency but different longitudinal wavenumbers, stationary fields have been mathematically constructed in closed form, which possess a high transverse localization and, more important, a longitudinal intensity-shape that can be freely chosen inside a predetermined space-interval 0 ≤ z ≤ L. For instance, a high intensity field, with a static envelope, can be created within a tiny region, with negligible intensity elsewhere: Chapter 2 of the coming book [Localized Waves (J.Wiley; in press] will deal, among the others, with such "Frozen Waves".…”

Loss-proof self-accelerating beams and their use in non-paraxial manipulation of particles’ trajectories

“…Generally speaking, the issue of absorption in optics is usually only dealt with via external means (for example, amplifiers or appropriate sample design), and presently there are no generic optical beams that can maintain the peak intensity value and the structure of their main lobe in lossy media. Several avenues to overcome this limitation have been demonstrated [27][28][29][30] , but none targeted shape-preserving accelerating beams.…”