Leiden University Student Repository

Gevaert, Wout (2019)

Construction of electromagnetic fields using complex conformal transformations

Bachelor thesis | Natuurkunde (BSc)

In this thesis, we will investigate the transformation of electromagnetic fields under conformal maps. When a conformal map is applied to such a field, the resulting field is again a valid electromagnetic field. Even when the conformal map is complex, i.e. it mixes real and complex points of space, the resulting field is valid. To better understand complex conformal maps, we introduce Dirac spinors and Twistor space. Using these concepts, we find a nicer expression for a — possibly complex — conformal transformation. This could ease the calculation of the transformed electromagnetic field.

Maxwell

Hopfion

twistor

spinor

conformal transformation

complex manifold

maxwell in vacuum

Author

Gevaert, Wout

Faculty

Faculty of Science

Specialisation

Physics & Mathematics

Supervisors

Dalhuisen, Jan Willem
Veen, Roland van der

ECTS Credits

3

Language

en