Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation
A space-domain integral equation method accelerated with adaptive cross approximation (ACA) is presented for the fast and accurate analysis of electromagnetic (EM) scattering from multilayered metallic photonic crystal (MPC). The method directly solves for the electric field in order to easily enabl...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2015/274307 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849397097569189888 |
|---|---|
| author | Jianxun Su Zengrui Li Xujin Yuan Yaoqing (Lamar) Yang Junhong Wang |
| author_facet | Jianxun Su Zengrui Li Xujin Yuan Yaoqing (Lamar) Yang Junhong Wang |
| author_sort | Jianxun Su |
| collection | DOAJ |
| description | A space-domain integral equation method accelerated with adaptive cross approximation (ACA) is presented for the fast and accurate analysis of electromagnetic (EM) scattering from multilayered metallic photonic crystal (MPC). The method directly solves for the electric field in order to easily enable the periodic boundary condition (PBC) in the spatial domain. The ACA is a purely algebraic method allowing the compression of fully populated matrices; hence, its formulation and implementation are independent of integral equation kernel (Green’s function). Therefore, the ACA is very well suited for accelerating integral equation analysis of periodic structure with the integral kernel of the periodic Green’s function (PGF). The computation of the spatial-domain periodic Green’s function (PGF) is accelerated by the modified Ewald transformation, such that the multilayered periodic structure can be analyzed efficiently and accurately. An effective interpolation method is also proposed to fast compute the periodic Green’s function, which can greatly reduce the time of matrix filling. Numerical examples show that the proposed method can greatly save the frequency sweep time for multilayered periodic structure. |
| format | Article |
| id | doaj-art-a929cd11d5134807a4e2fb24c3252aaf |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-a929cd11d5134807a4e2fb24c3252aaf2025-08-20T03:39:09ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/274307274307Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross ApproximationJianxun Su0Zengrui Li1Xujin Yuan2Yaoqing (Lamar) Yang3Junhong Wang4Electromagnetic Laboratory, Communication University of China, Beijing 100024, ChinaElectromagnetic Laboratory, Communication University of China, Beijing 100024, ChinaScience and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, ChinaDepartment of Computer and Electronics Engineering, University of Nebraska-Lincoln, Lincoln, NE 68182, USAInstitute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, ChinaA space-domain integral equation method accelerated with adaptive cross approximation (ACA) is presented for the fast and accurate analysis of electromagnetic (EM) scattering from multilayered metallic photonic crystal (MPC). The method directly solves for the electric field in order to easily enable the periodic boundary condition (PBC) in the spatial domain. The ACA is a purely algebraic method allowing the compression of fully populated matrices; hence, its formulation and implementation are independent of integral equation kernel (Green’s function). Therefore, the ACA is very well suited for accelerating integral equation analysis of periodic structure with the integral kernel of the periodic Green’s function (PGF). The computation of the spatial-domain periodic Green’s function (PGF) is accelerated by the modified Ewald transformation, such that the multilayered periodic structure can be analyzed efficiently and accurately. An effective interpolation method is also proposed to fast compute the periodic Green’s function, which can greatly reduce the time of matrix filling. Numerical examples show that the proposed method can greatly save the frequency sweep time for multilayered periodic structure.http://dx.doi.org/10.1155/2015/274307 |
| spellingShingle | Jianxun Su Zengrui Li Xujin Yuan Yaoqing (Lamar) Yang Junhong Wang Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation International Journal of Antennas and Propagation |
| title | Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation |
| title_full | Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation |
| title_fullStr | Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation |
| title_full_unstemmed | Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation |
| title_short | Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation |
| title_sort | integral equation analysis of em scattering from multilayered metallic photonic crystal accelerated with adaptive cross approximation |
| url | http://dx.doi.org/10.1155/2015/274307 |
| work_keys_str_mv | AT jianxunsu integralequationanalysisofemscatteringfrommultilayeredmetallicphotoniccrystalacceleratedwithadaptivecrossapproximation AT zengruili integralequationanalysisofemscatteringfrommultilayeredmetallicphotoniccrystalacceleratedwithadaptivecrossapproximation AT xujinyuan integralequationanalysisofemscatteringfrommultilayeredmetallicphotoniccrystalacceleratedwithadaptivecrossapproximation AT yaoqinglamaryang integralequationanalysisofemscatteringfrommultilayeredmetallicphotoniccrystalacceleratedwithadaptivecrossapproximation AT junhongwang integralequationanalysisofemscatteringfrommultilayeredmetallicphotoniccrystalacceleratedwithadaptivecrossapproximation |