Non-diffracting waves, frozen waves and diffraction-attenuation resistant beams for millimeter and micrometer applications

• Grant number: 14/04867-1
• Support Opportunities: Regular Research Grants
• Duration: July 01, 2014 - June 30, 2016
• Field of knowledge: Engineering - Electrical Engineering
• Principal Investigator: Leonardo Andre Ambrosio
• Grantee: Leonardo Andre Ambrosio
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated researchers: Erasmo Recami ; Michel Zamboni Rached

Abstract

Non-diffracting waves have been, during the last decade, objects of intense analysis and investigation by several research groups worldwide, with plenty of potential applications being envisioned such as in acoustics, microwaves and optics, mechanics, geophysics, biomedical optics, medicine and even in elementary particle physics and gravitational waves. In view of the most recent theoretical and experimental demonstrations of Frozen Waves (FW) and of the so-called DARBs (Diffraction-Attenuation Resistant Beams), which are formed by suitable superposition of Bessel beams for achieving beams extremally resistant to diffraction and absorption, there comes a natural tendency of fiding appropriate descriptions and solutions, besides potential applications, for these solutions of the scalar (or vector) wave equation at the millimeter and micrometer scales, such as in the current research areas of the main researcher, viz., optical trapping and manipulation. The project here proposed thus aims to transform into theoretical and numerical reality the use of FWs, DARBs and other new classes of non-diffracting waves in electromagnetic propagating and scattering problems, taking advantage of their particular and significant properties of longitudinal intensity pattern modulation in addition to their well-known (self-reconstruction and diffraction-resistance) characteristics. The schedule, which has been split into three-month stages, predicts periods of theoretical studies and numerical treatments in order to put such beams as alternative and efficient electromagnetic fields in a variety of electromagnetic problems at the millimeter and micrometer scales. (AU)

Scientific publications

(7)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

AMBROSIO, LEONARDO ANDRE. Symmetry relations in the generalized Lorenz-Mie theory for lossless negative refractive index media. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, v. 180, p. 147-153, SEP 2016. (14/04867-1)

ZAMBONI-RACHED, MICHEL; DE ASSIS, MARIANA CAROLINA; AMBROSIO, LEONARDO A.. Diffraction-resistant scalar beams generated by a parabolic reflector and a source of spherical waves. APPLIED OPTICS, v. 54, n. 19, p. 5949-5955, JUL 1 2015. (13/26437-6, 14/04867-1)

GOUESBET, GERARD; LOCK, J. A.; AMBROSIO, L. A.; WANG, J. J.. On the validity of localized approximation for an on-axis zeroth-order Bessel beam. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, v. 195, n. SI, p. 18-25, JUL 2017. (14/04867-1)

AMBROSIO, LEONARDO ANDRE; MACHADO VOTT, LUTZ FELIPE; GOUESBET, GERARD; WANG, JIAJIE. Assessing the validity of the localized approximation for discrete superpositions of Bessel beams. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, v. 35, n. 11, p. 2690-2698, NOV 1 2018. (17/10445-0, 14/04867-1, 16/11174-8)

AMBROSIO, LEONARDO A.; WANG, JIAJIE; GOUESBET, GERARD. On the validity of the integral localized approximation for Bessel beams and associated radiation pressure forces. APPLIED OPTICS, v. 56, n. 19, p. 5377-5387, JUL 1 2017. (16/11174-8, 14/04867-1)

LEONARDO A. AMBROSIO. Extracting Metamaterial Properties of Negative-Index and Plasmonic scatterers from the Mie Coefficients. J. Microw. Optoelectron. Electromagn. Appl., v. 15, n. 2, p. 146-156, 2016-06-00. (14/04867-1)

AMBROSIO, LEONARDO ANDRE; ZAMBONI-RACHED, MICHEL. Analytical approach of ordinary frozen waves for optical trapping and micromanipulation. APPLIED OPTICS, v. 54, n. 10, p. 2584-2593, APR 1 2015. (13/26437-6, 14/04867-1)