A local time-splitting method (LTSM) is developed to design absorbing boundary conditions for numerical solutions of time-dependent nonlinear Schrödinger equations associated with open boundaries. These boundary conditions are significant for numerical simulations of propagations of nonlinear waves in physical applications, such as nonlinear fiber optics and Bose-Einstein condensations. Numeric...

Rankine vortex characteristics of a partially coherent optical vortex are explored using classical and physical optics. Unlike a perfectly coherent vortex mode, the circulation is not quantized. Excess circulation is predicted owing to the wave nature of composite vortex fields. Based on these findings, we propose a vortex stellar interferometer.

Coupled nonlinear Schrödinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of concentrating solutions of a singularly perturbed coupled nonlinear Schrödinger system, in presence of potentials. We show how the location of the concentra...

During the last decade, new unusual physical phenomena have been discovered in studying optics of dielectric mesoscale particles an arbitrary three-dimensional shape with Mie size parameter near 10 (q~10). The paper provides a brief overview these from to terahertz, plasmonic and acoustic ranges. different particle configurations (isolated, regular or Janus) are discussed, possible applications...

An exact line integral representation is derived for the magnetic physical optics field scattered by a perfectly electrically conducting planar plate illuminated by electric or magnetic Hertzian dipoles. The positions of source and observation points can be almost arbitrary. Numerical examples are presented to illustrate the exactness of the line integral representation.

Dmitri K. Gramotnev,1 David F. P. Pile,2 Michael W. Vogel,1 and Xiang Zhang2 1Applied Optics Program, School of Physical and Chemical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia 2NSF Nano-scale Science and Engineering Center (NSEC), 5130 Etcheverry Hall, University of California, Berkeley, Berkeley, California 94720-1740, USA Received 12 November 2...

Particles or structures of size comparable to the incident wavelength and located on flat substrates may hold much smaller defects, whose detection and characterization is numerically analyzed. For metallic scattering systems, calculations based on the Extinction Theorem of the physical optics show that geometrical information about the defect can be obtained by partially integrating the backsc...

A digital method of calculating the radar backscattering diagrams is presented. The method uses a digital model of an arbitrary scattering object in the 3D graphics package " OpenGL " and calculates the backscattered signal in the physical optics approximation. The backscattering diagram is constructed by means of rotating the object model around the radar-target line.

Focus shift and process latitude of contact holes on attenuated phase-shifting masks, " Proc. Reaction diffusion in deep-UV positive tone resist systems, " Proc. Three-dimensional reflective-notching simulation using multipole accelerated physical-optics approximation, " Proc. Extracting solid conductors from a single triangulated surface representation for interconnect analysis, " IEEE Trans.

Inverse elastic-wave scattering problems are shown to be ill-posed in general. Standard simplifying assumptions--the first Born approximation, the physical optics approximation, and the stopping power approximation of tomography--are shown to reduce to the same ill-posed mathematical problem, that of inverting a Fourier transform. Practical implications of this fact are illustrated with examples.