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physics.optics2022★ 5 cited
On the Majorana representation of the optical Dirac equation
Mark R Dennis, Teuntje Tijssen, Michael Morgan
We consider the representations of the optical Dirac equation, especially ones where the Hamiltonian is purely real-valued. This is equivalent, for Maxwell's equations, to the Majo…
physics.optics2011★ 18 cited
Paraxial and nonparaxial polynomial beams and the analytic approach to propagation
Mark R Dennis, Joerg B Goette, Robert P King +2
We construct solutions of the paraxial and Helmholtz equations which are polynomials in their spatial variables. These are derived explicitly using the angular spectrum method and…