Optical models and symmetries

KB Wolf - Progress in Optics, 2017 - Elsevier
Among the mathematical methods used to describe optical models and compute the
particulars of their realization, the tools of the theory of Lie groups and algebras are rather …

Continuous versus discrete free Hamiltonian systems

KB Wolf - Journal of Physics A: Mathematical and Theoretical, 2013 - iopscience.iop.org
The Euclidean group contains two models of free Hamiltonian evolution: one has a
continuous configuration space in which the wavefunctions obey the Helmholtz equation …

Finite optical Hamiltonian systems

KB Wolf, NM Atakishiyev, LE Vincent… - 22nd Congress of …, 2011 - spiedigitallibrary.org
In this essay we finitely quantize the Hamiltonian system of geometric optics to a finite
system that is also Hamiltonian, but where signals are described by complex N-vectors …

Optical waveguide Hamiltonians leading to step-2 difference equations

J Rueda-Paz, KB Wolf - Journal of Physics: Conference Series, 2011 - iopscience.iop.org
We examine the evolution of an N-point signal produced and sensed at finite arrays of points
transverse to a planar waveguide, within the framework of the finite quantization of …

[PDF][PDF] Optical waveguide Hamiltonians leading to step-2 difference equations

JR Paz, KB Wolf - academia.edu
We examine the evolution of an N-point signal produced and sensed at finite arrays of points
transverse to a planar waveguide, within the framework of the finite quantization of …