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Modeling Photonic Crystals by Boundary Integral Equations and Dirichlet-to-Neumann
 

Summary: Modeling Photonic Crystals by Boundary
Integral Equations and Dirichlet-to-Neumann
Maps
Jianhua Yuan a
, Ya Yan Lu b,1
, Xavier Antoine c,d
aDepartment of Mathematics, Beijing University of Posts and Telecommunications
Beijing, China
bDepartment of Mathematics, City University of Hong Kong
Kowloon, Hong Kong
cInstitut Elie Cartan Nancy, Universit´e Henri Poincar´e Nancy 1
Vandoeuvre-l`es-Nancy Cedex, France
d D´epartement de G´enie Industriel
Ecole Nationale Sup´erieure des Mines de Nancy
Nancy Cedex, France
Abstract
Efficient numerical methods for analyzing photonic crystals (PhCs) can be devel-
oped using the Dirichlet-to-Neumann (DtN) maps of the unit cells. The DtN map
is an operator that takes the wave field on the boundary of a unit cell to its normal
derivative. In frequency domain calculations for band structures and transmission

  

Source: Antoine, Xavier - Institut de Mathématiques Élie Cartan, Université Henri Poincaré - Nancy 1

 

Collections: Mathematics