MENP: An Open-Source MATLAB Implementation of Multipole Expansion for Applications in Nanophotonics

Abstract

In modern nanophotonics, multipolar interference plays an indispensable role to realize novel optical devices represented by metasurfaces with unprecedented functionalities. Not only to engineer sub-wavelength structures that constitute such devices but also to realize and interpret unnatural phenomena in nanophotonics, a program that efficiently carries out multipole expansion is highly demanded. MENP is a MATLAB program for computation of multipole contributions to light scattering from current density distributions induced in nanophotonic resonators. The main purpose of MENP is to carry out post-processing of a rigid multipole expansion for full-field simulations which in principle provide the information of all near- and far-field interactions (e.g. as a total scattering cross section). MENP decomposes total scattering cross sections into partial ones due to electric and magnetic dipoles and higher-order terms based on recently developed exact multipole expansion formulas. We validate the program by comparing results for ideal and realistic nanospheres with those obtained with the Mie theory. We also demonstrate the potential of MENP for analysis of anapole states by calculating the multipole expansion under the long-wavelength approximation which enables us to introduce toroidal dipole moments.

12 pages, 4 figures, the program is available from https://github.com/Hinamoooon/MENP

References in corpus (13)

• Directional visible light scattering by silicon nanoparticles
• Magnetic light
• Lasing action in active dielectric nanoantenna arrays
• An electromagnetic multipole expansion beyond the long-wavelength approximation
• Electromagnetic multipole theory for optical nanomaterials
• Optical anapoles in nanophotonics and meta-optics
• Transverse scattering and generalized Kerker effects in all-dielectric Mie-resonant meta-optics
• Silicon Mie Resonators for Highly Directional Light Emission from monolayer MoS2
• Excitation of radiationless anapole mode of isotropic dielectric nanoparticles with tightly focused radially polarized beam
• Multimode directionality in all-dielectric metasurfaces
• Multipolar interference effects in nanophotonics
• Strongly directional scattering from dielectric nanowires
• Origin of the anapole condition as revealed by a simple expansion beyond the toroidal multipole

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• Optical Kerr nonlinearity of dielectric nanohole array metasurface in proximity to anapole state
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• Generalizing the exact multipole expansion: Density of multipole modes in complex photonic nanostructures