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- W1505780964 abstract "We show show that the singularities of the Fresnel surface for Maxwell's equation on an anisotrpic material can be accounted from purely topological considerations. The importance of these singularities is that they explain the phenomenon of conical refraction predicted by Hamilton. We show how to de-singularise the Fresnel surface, which will allow us to use Morse theory to find lower bounds for the number of critical wave velocities inside the material under consideration. Finally, we propose a program to generalise the results obtained to the general case of hyperbolic differential operators on differentiable bundles." @default.
- W1505780964 created "2016-06-24" @default.
- W1505780964 creator A5083701533 @default.
- W1505780964 date "2013-11-04" @default.
- W1505780964 modified "2023-09-27" @default.
- W1505780964 title "Maxwell's Equations, The Euler Index and Morse Theory" @default.
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- W1505780964 hasPublicationYear "2013" @default.
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