Electromagnetic Scattering from Nanosized Bodies of Revolution with the Green's Function Surface Integral Equation Method
Author
Andersen, Niclas Mosskov
Term
4. term (FYS10)
Education
Publication year
2022
Submitted on
2022-06-02
Abstract
This thesis investigates electromagnetic scattering from nanoscale bodies of revolution using a Green’s function surface integral equation framework. Both the electric (EFIE) and magnetic (MFIE) formulations are addressed by expressing the unknown equivalent surface currents in cylindrical harmonics and computing them numerically with the method of moments via point matching. Exploiting rotational symmetry reduces the problem to one dimension, and both quadratic and cubic polynomial basis functions are used. A numerical implementation is developed for a homogeneous medium (layered reference structures were not pursued due to time constraints) and validated against known analytical solutions for a sphere. The results show that cubic basis functions improve accuracy over quadratic ones, and that good agreement with analytical solutions is achieved for a range of dielectric parameters with both EFIE and MFIE. For a perfectly electrically conducting (PEC) particle, only MFIE yielded stable solutions. The work thus provides an efficient route to accurate modeling of scattering from rotationally symmetric nanoparticles in homogeneous media, with potential for future extension to layered systems.
Dette speciale undersøger elektromagnetisk spredning fra nanoskalige rotationslegemer ved hjælp af Green’s function-baserede overfladeintegralligninger. Både den elektriske (EFIE) og magnetiske (MFIE) formulering behandles, hvor de ukendte ækvivalente overfladestrømme udtrykkes i cylindriske harmoniske og beregnes numerisk med momentmetoden ved punktmatching. Den rotationssymmetriske geometri reducerer problemet til én dimension, og der anvendes både kvadratiske og kubiske polynomielle basisfunktioner. En numerisk implementering udvikles for et homogent medium (lagdelte reference-strukturer blev fravalgt grundet tidsmæssige begrænsninger) og valideres mod kendte analytiske løsninger for en sfære. Resultaterne viser, at kubiske basisfunktioner forbedrer nøjagtigheden sammenlignet med kvadratiske, og at der opnås god overensstemmelse med de analytiske løsninger for en række dielektriske parametre for både EFIE og MFIE. For en perfekt elektrisk ledende (PEC) partikel gav kun MFIE stabile løsninger. Arbejdet demonstrerer dermed en effektiv tilgang til præcis modellering af spredning fra rotationssymmetriske nanopartikler i homogene medier, med perspektiv for fremtidig udvidelse til lagdelte systemer.
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