47 citations · 47 across the 1 of their papers we have counts for
2 papers
math.GT2016★ 47 cited
Knotted fields and explicit fibrations for lemniscate knots
Benjamin Bode, Mark R Dennis, David Foster +1
We give an explicit construction of complex maps whose nodal line have the form of lemniscate knots. We review the properties of lemniscate knots, defined as closures of braids whe…
physics.optics2011
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…