18 citations · 42 across the 6 of their papers we have counts for
6 papers
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…
Velocity Gauge Potentials in Electrodynamics
D. V. Giri, Frederick M. Tesche, Michael A. Morgan
Vector and scalar potentials are used for convenience in solving boundary value problems involving electromagnetic (EM) fields. The potentials are made unique by choosing a non-uni…
Anisotropic covering of fractal sets
M. Wilkinson, H. R. Kennard, M. A. Morgan
We consider the optimal covering of fractal sets in a two-dimensional space using ellipses which become increasingly anisotropic as their size is reduced. If the semi-minor axis is…
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…
Shock fragmentation model for gravitational collapse
M. Wilkinson, B. Mehlig, M. A. Morgan
A cloud of gas collapsing under gravity will fragment. We present a new theory for this process, in which layers shocked gas fragment due to their gravitational instability. Our mo…
Non-adiabatic transitions in multi-level systems
Michael Wilkinson, Michael A. Morgan
In a quantum system with a smoothly and slowly varying Hamiltonian, which approaches a constant operator at times , the transition probabilities between adiabatic…