TY - JOUR
T1 - An efficient contour integral based eigensolver for 3D dispersive photonic crystal
AU - Huang, Tsung Ming
AU - Liao, Weichien
AU - Lin, Wen Wei
AU - Wang, Weichung
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/10/15
Y1 - 2021/10/15
N2 - Numerical simulations play a significant role in studying the properties of dispersive metallic photonic crystals. The dispersive photonic crystals are modeled by the Maxwell equations, and the equations are then discretized by the widely-used Yee's scheme. After applying certain similarity transformations to the discretized system, the original simulation problem becomes a non-Hermitian eigenvalue problem with clustered eigenvalues. An efficient contour integral (CI) based eigensolver is developed to overcome the difficulties of applying existing methods to solve eigenvalues in designated regions. This efficient method combines the contour integral, the fast matrix–vector multiplication, and efficient linear system solver. The numerical results illustrate the efficiency of our algorithm.
AB - Numerical simulations play a significant role in studying the properties of dispersive metallic photonic crystals. The dispersive photonic crystals are modeled by the Maxwell equations, and the equations are then discretized by the widely-used Yee's scheme. After applying certain similarity transformations to the discretized system, the original simulation problem becomes a non-Hermitian eigenvalue problem with clustered eigenvalues. An efficient contour integral (CI) based eigensolver is developed to overcome the difficulties of applying existing methods to solve eigenvalues in designated regions. This efficient method combines the contour integral, the fast matrix–vector multiplication, and efficient linear system solver. The numerical results illustrate the efficiency of our algorithm.
KW - Contour integral based eigensolver
KW - Discrete single-curl operator
KW - Dispersive photonic crystal
KW - Fast matrix–vector multiplication
KW - The Maxwell equations
UR - http://www.scopus.com/inward/record.url?scp=85105690843&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85105690843&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2021.113581
DO - 10.1016/j.cam.2021.113581
M3 - Article
AN - SCOPUS:85105690843
SN - 0377-0427
VL - 395
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
M1 - 113581
ER -