Details
| Original language | English |
|---|---|
| Article number | 035603 |
| Number of pages | 11 |
| Journal | Journal of Optics (United Kingdom) |
| Volume | 24 |
| Issue number | 3 |
| Early online date | 31 Jan 2022 |
| Publication status | Published - Mar 2022 |
Abstract
Optical response of Mie-resonant nanoparticles can be modeled either by full-wave numerical simulations or by the widely used analytical coupled multipole method (CMM). However, an analytical solution in the framework of CMM can be obtained only in a limited number of cases. In this paper, a modification of the CMM in the framework of the Born series and its applicability for the simulation of light scattering by finite nanosphere structures, maintaining both dipole and quadrupole resonances, are investigated. The Born approximation simplifies an analytical analysis of various systems and helps shed light on physical processes ongoing in that systems. Using Mie theory and Green's functions approach, we analytically formulate the rigorous coupled dipole-quadrupole equations and their solution in the different-order Born approximations. We analyze in detail the resonant scattering by dielectric nanosphere structures such as dimer and ring to obtain the convergence conditions of the Born series and investigate the influence of the physical characteristics such as absorption in particles, type of multipole resonance, and geometry of ensemble on the convergence of Born series and its accuracy.
Keywords
- Born approximation, Born series, coupled multipoles, Mie resonances, multiple scattering, nanoparticles, perturbation theory
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Journal of Optics (United Kingdom), Vol. 24, No. 3, 035603, 03.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Multipole Born series approach to light scattering by Mie-resonant nanoparticle structures
AU - Ustimenko, Nikita A.
AU - Kornovan, Danil F.
AU - Baryshnikova, Kseniia V.
AU - Evlyukhin, Andrey B.
AU - Petrov, Mihail I.
N1 - Funding Information: Investigating conditions of the Born series convergence for nanosphere dimer was supported by the Russian Science Foundation grant No. 21-79-10190. The analysis of nanosphere ring was supported by the Russian Foundation for Basic Research and Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) grant No. 20-52-12062. A.B.E. acknowledges support from the DFG under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453). K.V.B. acknowledges support from the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.
PY - 2022/3
Y1 - 2022/3
N2 - Optical response of Mie-resonant nanoparticles can be modeled either by full-wave numerical simulations or by the widely used analytical coupled multipole method (CMM). However, an analytical solution in the framework of CMM can be obtained only in a limited number of cases. In this paper, a modification of the CMM in the framework of the Born series and its applicability for the simulation of light scattering by finite nanosphere structures, maintaining both dipole and quadrupole resonances, are investigated. The Born approximation simplifies an analytical analysis of various systems and helps shed light on physical processes ongoing in that systems. Using Mie theory and Green's functions approach, we analytically formulate the rigorous coupled dipole-quadrupole equations and their solution in the different-order Born approximations. We analyze in detail the resonant scattering by dielectric nanosphere structures such as dimer and ring to obtain the convergence conditions of the Born series and investigate the influence of the physical characteristics such as absorption in particles, type of multipole resonance, and geometry of ensemble on the convergence of Born series and its accuracy.
AB - Optical response of Mie-resonant nanoparticles can be modeled either by full-wave numerical simulations or by the widely used analytical coupled multipole method (CMM). However, an analytical solution in the framework of CMM can be obtained only in a limited number of cases. In this paper, a modification of the CMM in the framework of the Born series and its applicability for the simulation of light scattering by finite nanosphere structures, maintaining both dipole and quadrupole resonances, are investigated. The Born approximation simplifies an analytical analysis of various systems and helps shed light on physical processes ongoing in that systems. Using Mie theory and Green's functions approach, we analytically formulate the rigorous coupled dipole-quadrupole equations and their solution in the different-order Born approximations. We analyze in detail the resonant scattering by dielectric nanosphere structures such as dimer and ring to obtain the convergence conditions of the Born series and investigate the influence of the physical characteristics such as absorption in particles, type of multipole resonance, and geometry of ensemble on the convergence of Born series and its accuracy.
KW - Born approximation
KW - Born series
KW - coupled multipoles
KW - Mie resonances
KW - multiple scattering
KW - nanoparticles
KW - perturbation theory
UR - http://www.scopus.com/inward/record.url?scp=85125581910&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2108.11920
DO - 10.48550/arXiv.2108.11920
M3 - Article
AN - SCOPUS:85125581910
VL - 24
JO - Journal of Optics (United Kingdom)
JF - Journal of Optics (United Kingdom)
SN - 2040-8978
IS - 3
M1 - 035603
ER -