Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach
In this paper, the precorrected-FFT method is used to solve the electromagnetic scattering from two-dimensional cavities of arbitrary shape. The integral equation is discretized by the method of moments and the resultant matrix equation is solved iteratively by the generalized conjugate residual met...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | en_US |
| Published: |
2003
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/4001 |
| _version_ | 1826216882762416128 |
|---|---|
| author | Nie, Xiaochun Li, Le-Wei |
| author_facet | Nie, Xiaochun Li, Le-Wei |
| author_sort | Nie, Xiaochun |
| collection | MIT |
| description | In this paper, the precorrected-FFT method is used to solve the electromagnetic scattering from two-dimensional cavities of arbitrary shape. The integral equation is discretized by the method of moments and the resultant matrix equation is solved iteratively by the generalized conjugate residual method. Instead of directly computing the matrix-vector multiplication, which requires N² operations, this approach reduces the computation complexity to O(N log N) as well as avoids the storage of large matrices. At the same time, a technique known as the complexifying k is applied to accelerate the convergence of the iterative method in solving this resonance problem. Some examples are considered and excellent agreements of radar cross sections between these computed using the present method and those from the direct solution are observed, demonstrating the feasibility and efficiency of the present method. |
| first_indexed | 2024-09-23T16:54:39Z |
| format | Article |
| id | mit-1721.1/4001 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:54:39Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | mit-1721.1/40012019-04-10T12:16:20Z Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach Nie, Xiaochun Li, Le-Wei precorrected-FFT method method-of-moments electrical-field integral equation electromagnetic scattering cavity In this paper, the precorrected-FFT method is used to solve the electromagnetic scattering from two-dimensional cavities of arbitrary shape. The integral equation is discretized by the method of moments and the resultant matrix equation is solved iteratively by the generalized conjugate residual method. Instead of directly computing the matrix-vector multiplication, which requires N² operations, this approach reduces the computation complexity to O(N log N) as well as avoids the storage of large matrices. At the same time, a technique known as the complexifying k is applied to accelerate the convergence of the iterative method in solving this resonance problem. Some examples are considered and excellent agreements of radar cross sections between these computed using the present method and those from the direct solution are observed, demonstrating the feasibility and efficiency of the present method. Singapore-MIT Alliance (SMA) 2003-12-23T02:23:28Z 2003-12-23T02:23:28Z 2002-01 Article http://hdl.handle.net/1721.1/4001 en_US High Performance Computation for Engineered Systems (HPCES); 160248 bytes application/pdf application/pdf |
| spellingShingle | precorrected-FFT method method-of-moments electrical-field integral equation electromagnetic scattering cavity Nie, Xiaochun Li, Le-Wei Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach |
| title | Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach |
| title_full | Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach |
| title_fullStr | Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach |
| title_full_unstemmed | Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach |
| title_short | Electromagnetic Scattering by Open-Ended Cavities: An Analysis Using Precorrected-FFT Approach |
| title_sort | electromagnetic scattering by open ended cavities an analysis using precorrected fft approach |
| topic | precorrected-FFT method method-of-moments electrical-field integral equation electromagnetic scattering cavity |
| url | http://hdl.handle.net/1721.1/4001 |
| work_keys_str_mv | AT niexiaochun electromagneticscatteringbyopenendedcavitiesananalysisusingprecorrectedfftapproach AT lilewei electromagneticscatteringbyopenendedcavitiesananalysisusingprecorrectedfftapproach |