Acoustic metamaterials: internal fields and scattering theory

• Grant number: 18/21694-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2019
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Alexandre Souto Martinez
• Grantee: José Renato Alcarás
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

Understanding the sound scattering dynamics for different structures, and different incident waves geometry, has shown to be a productive research field. However, the internal field to the scattering centers investigation still has a lot of important results that weren't yet approached: from material characterization to obtaining the amount of energy stored by the sound wave on the scattering process. With this formalism, we can investigate in details different types and models of viscoelastic solids, for applications in biological cells and some types of polymers. This project's goal is to deepen the topics initially approached during the candidate's masters project (FAPESP 2017/09354-0), on the understanding and formalization of the internal fields of acoustic scattering centers (fluids and solids), looking for unique properties and important characteristics for the development of acoustic metamaterials. Besides, we intent to characterize the acoustic fields at regions near the scattering centers, for applications such as acoustic tweezers. It also extends the scope of local scattering analysis of electromagnetic waves (FAPESP - 10/10052-0, 08/02069-0 and 2008/02069-0) for acoustic waves. Throughout the three years of the project, the candidate hopes to self develop not only in analytical and numerical techniques that encompass the problem, as well as obtaining skills and experience for the characterization of new acoustic materials applicable in research and industry. It is also hoped to be possible to do an international internship at a leading institution in this area ofresearch abroad.

Scientific publications

(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)

DOS SANTOS, LINDOMAR SOARES; ALCARAS, JOSE RENATO; DA COSTA, LUCAS MURILO; RAMOS SIMOES, MATEUS MENDONCA; MARTINEZ, ALEXANDRE SOUTO. Analytical Solutions of Microplastic Particles Dispersion Using a Lotka-Volterra Predator-Prey Model with Time-Varying Intraspecies Coefficients. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, v. 27, n. 4, p. 12-pg., 2022-08-01. (18/21694-4)

MARTINEZ, ALEXANDRE SOUTO; ALCARAS, JOSE RENATO; ARRUDA, TIAGO JOSE. A set of basis functions to improve numerical calculation of Mie scattering in the Chandrasekhar-Sekera representation. WAVES IN RANDOM AND COMPLEX MEDIA, MAR 2020. (18/21694-4, 15/21194-3)

MARTINEZ, ALEXANDRE SOUTO; ALCARAS, JOSE RENATO; ARRUDA, TIAGO JOSE. A set of basis functions to improve numerical calculation of Mie scattering in the Chandrasekhar-Sekera representation. WAVES IN RANDOM AND COMPLEX MEDIA, v. 31, n. 6, p. 2275-2289, NOV 2 2021. (15/21194-3, 18/21694-4)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ALCARÁS, José Renato. Acoustic metamaterials: internal fields and scattering theory. 2023. Doctoral Thesis - Universidade de São Paulo (USP). Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (PCARP/BC) Ribeirão Preto.