A development of isogeometric boundary element method for three-dimensional doubly-periodic electromagnetic scattering problems regarding dielectric scatterers

2018 ◽  
Vol 2018.31 (0) ◽  
pp. 176
Author(s):  
Tetsuro HIRAI ◽  
Toru TAKAHASHI ◽  
Hiroshi ISAKARI ◽  
Toshiro MATSUMOTO
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Electromagnetic Scattering ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Element Method

scholarly journals FAST MULTIPOLE BOUNDARY ELEMENT METHOD FOR THREE DIMENSIONAL ELECTROMAGNETIC SCATTERING PROBLEM

2012 ◽  
Vol 01 (04) ◽  
pp. 1250038 ◽  
Author(s):  
S. B. WANG ◽  
H. H. ZHENG ◽  
J. J. XIAO ◽  
Z. F. LIN ◽  
C. T. CHAN
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Triangular Grid ◽  
Fast Multipole ◽  
Electromagnetic Plane Wave ◽  
Element Method

We developed a fast numerical algorithm for solving the three-dimensional vectorial Helmholtz equation that arises in electromagnetic scattering problems. The algorithm is based on electric field integral equations and is essentially a boundary element method. Nyström's quadrature rule with a triangular grid is employed to linearize the integral equations, which are then solved by using a right-preconditioned iterative method. We apply the fast multipole technique to accelerate the matrix-vector multiplications in the iterations. We demonstrate the broad applications and accuracy of this method with practical examples including dielectric, plasmonic and metallic objects. We then apply the method to investigate the plasmonic properties of a silver torus and a silver split-ring resonator under the incidence of an electromagnetic plane wave. We show the silver torus can be used as a trapping tool to bind small dielectric or metallic particles.

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