The whole‐line version of the Gelfand–Levitan–Marchenko (GLM) equation for a Dirac
system is studied. A new derivation of the GLM equation is given, under weaker hypotheses …

In this paper, we study the inverse scattering problem for ZS-AKNS systems on the half-line
with general boundary conditions at the origin. For the class of potentials with certain …

One-dimensional inversion is applied to neutron specular reflection for a model-
independent determination of the scattering-length density profile. The Marchenko equation …

A method is proposed for solving the phase problem in specular neutron reflection. A
differential equation for the reflection phase is derived and solved in terms of the reflectivity …

A discrete-time approach is introduced for the analysis of periodic waveguide gratings with
gain (or loss) extending concepts developed for transfer matrix and Gel'fand-Levitan …

A new method is developed to reconstruct the permittivity profile of a dielectric slab in a
guided wave formulation. The propagation constants of the slab eigenmodes are used as …

To understand the physical meaning of rational reflection coefficients in inverse-scattering
theory for optical waveguide design [J. Opt. Soc. Am. A6, 1206 (1989)], we studied the …

Gradient-index planar optical waveguides with exponential and sech^ 2x refractive-index
profiles are analyzed. By using a scattering framework, reflection and transmission …

In this paper, the relations among four finite-dimensional Hamiltonian systems associated
with the Dirac hierarchy are studied via three Poisson maps from the standard symplectic …

A guided wave optical interconnect has been designed which reduces or eliminates clock
skew by ensuring simultaneous delivery of clock pulses to chips mounted on a wafer. The …