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Boundary Conditions and Fresnel Equations for Weakly Spatially Dispersive Media

Jansen, Erlend Grøndahl
Master thesis
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URI
http://hdl.handle.net/11250/2453092
Date
2017
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  • Institutt for elektroniske systemer [1548]
Abstract
Although usually negligible for natural materials for optical and lower frequencies, spatial dispersion is a significant effect for metamaterials. In this thesis the electromagnetics of such media are investigated using a second order in k approximation for the polarisation and assuming centro-symmetric inclusions. Boundary conditions derived by Lange and Raab to electric-octopole - magnetic quadrupole order are taken a step further by also accounting for multipole surface effects. Yaghjian and Silveirinha s boundary conditions and Fresnel equations are taken a step further by also accounting for dipolarisations for a medium with a non-zero electric quadrupolarisation. Lastly, two attempts at modelling interface behaviour for a general second order spatially dispersive medium are made. For one of the attempts, Fresnel equations are obtained.
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NTNU

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