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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
S4:A free electromagnetic solver for layered periodic structures
Computational electromagnetics Maxwell solver Fourier modal method
2012/8/7
We describe S4, a free implementation of the Fourier modal method (FMM), which has also been commonly referred to as rigorous coupled wave analysis (RCWA), for simulating electromagnetic propagation t...
Almost periodic structures and the semiconjugacy problem
periodic structures semiconjugacy problem Dynamical Systems
2011/7/25
Abstract: The description of almost periodic or quasiperiodic structures has a long tradition in mathematical physics, in particular since the discovery of quasicrystals in the early 80's. Frequently,...
A mathematical framework for reducing the domain in the mechanical analysis of periodic structures
A mathematical framework mechanical analysis of periodic structures
2010/12/15
A theoretical framework is developped leading to a sound derivation of Periodic Boundary Conditions (PBCs) for the analysis of domains smaller then the Unit Cells (UCs), named reduced Unit Cells (rUCs...
Properties of the angular gap in one-dimensional periodic structures containing left-handed metamaterials
left-handed metamaterials photonic gaps optical bistability
2010/9/7
Wave propagation is investigated in one-dimensional periodic structures containing layers of
left-handed metamaterials. For a special choice of parameters, an angular gap appears due to total
intern...
Periodic Structures of Rossby Wave under Influence of Dissipation
rKdV equation elliptic equation
Jacobi elliptic function periodic structure rational form
2007/8/15
2007Vol.47No.1pp.35-40DOI:
Periodic Structures of Rossby Wave under Influence of Dissipation
CHEN Zhe,1,2 LI Chong-Yin,1,3 and FU Zun-Tao4,5
1 LASG, Institute of Atmosp...
Multiple omnidirectional reflection bands from half-wave layered periodic structures
thin films multilayers filters bandgaps 1D photonic crystals
2005/2/26
The paper is concerned with one-dimensional multilayers that exhibit multiple bands of omnidirectional reflection, which means complete reflection regardless of incidence angle and polarization. The t...