Efficient descriptions of discrete superpositions of scalar Bessel beams (Frozen Waves) in generalized Lorenz-Mie theory for applications in optical trapping

• Grant number: 16/11174-8
• Support Opportunities: Scholarships abroad - Research
• Start date: January 02, 2017
• End date: February 16, 2017
• Field of knowledge: Engineering - Electrical Engineering
• Principal Investigator: Leonardo Andre Ambrosio
• Grantee: Leonardo Andre Ambrosio
• Host Investigator: Gerard Gouesbet
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Université de Rouen, France

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.

Scientific publications

(9)

(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)

ZAMBONI-RACHED, MICHEL; AMBROSIO, LEONARDO ANDRE; DORRAH, AHMED H.; MOJAHEDI, MO. Structuring light under different polarization states within micrometer domains: exact analysis from the Maxwell equations. Optics Express, v. 25, n. 9, p. 10051-10056, MAY 1 2017. (15/26444-8, 16/11174-8)

AMBROSIO, LEONARDO ANDRE; IEEE. Analytical Descriptions of Finite-Energy Bessel Beams in the Generalized Lorenz-Mie Theory. 2018 SBFOTON INTERNATIONAL OPTICS AND PHOTONICS CONFERENCE (SBFOTON IOPC), v. N/A, p. 5-pg., 2018-01-01. (17/10445-0, 16/11174-8)

CHAFIQ, A.; AMBROSIO, L. A.; GOUESBET, G.; BELAFHAL, A.. On the validity of integral localized approximation for on-axis zeroth-order Mathieu beams. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, v. 204, p. 27-34, JAN 2018. (16/11174-8)

AMBROSIO, LEONARDO ANDRE. Circularly symmetric frozen waves: Vector approach for light scattering calculations. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, v. 204, p. 112-119, JAN 2018. (16/11174-8)

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. (14/04867-1, 16/11174-8)

SANTOS, AMELIA MOREIRA; JUSTINO DA SILVA ARANTES, PEDRO PAULO; AMBROSIO, LEONARDO ANDRE; IEEE. Circularly Symmetric Frozen Waves and their Optical Forces in Optical Tweezers Using a Ray Optics Approach. 2017 SBMO/IEEE MTT-S INTERNATIONAL MICROWAVE AND OPTOELECTRONICS CONFERENCE (IMOC), v. N/A, p. 5-pg., 2017-01-01. (16/11174-8)

VALDIVIA, NEREIDA L.; AMBROSIO, LEONARDO ANDRE; IEEE. On Analytical Descriptions of Finite-Energy Paraxial Frozen Waves in Generalized Lorenz-Mie Theory. 2017 SBMO/IEEE MTT-S INTERNATIONAL MICROWAVE AND OPTOELECTRONICS CONFERENCE (IMOC), v. N/A, p. 5-pg., 2017-01-01. (16/11174-8)

AMBROSIO, LEONARDO ANDRE; DA SILVA SANTOS, CARLOS HENRIQUE; LAGES RODRIGUES, IVAN EDUARDO; IEEE. On the accuracy of approximate descriptions of discrete superpositions of Bessel beams in the generalized Lorenz-Mie theory. 2017 SBMO/IEEE MTT-S INTERNATIONAL MICROWAVE AND OPTOELECTRONICS CONFERENCE (IMOC), v. N/A, p. 5-pg., 2017-01-01. (16/11174-8)