General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media
Abstract A new approach for using polynomial chaos‐based expansion finite‐difference time‐domain (PCE‐FDTD) is presented to calculate the uncertainty of electromagnetic wave propagation in dispersive materials. Based on the bilinear transform method, this approach performs polynomial expansion on ra...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-02-01
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| Series: | IET Microwaves, Antennas & Propagation |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/mia2.12040 |
| _version_ | 1811188172887949312 |
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| author | Jiangfan Liu Huiping Li Xiaoli Xi |
| author_facet | Jiangfan Liu Huiping Li Xiaoli Xi |
| author_sort | Jiangfan Liu |
| collection | DOAJ |
| description | Abstract A new approach for using polynomial chaos‐based expansion finite‐difference time‐domain (PCE‐FDTD) is presented to calculate the uncertainty of electromagnetic wave propagation in dispersive materials. Based on the bilinear transform method, this approach performs polynomial expansion on random electromagnetic fields by PCE‐FDTD method. The proposed algorithm has a simple formulation and is very easy to extend to isotropic dispersive material. It has a general form for different types of random dispersive materials and can efficiently calculate the mean value and the SD of electromagnetic field components in a single run. Two examples of different dispersive media with two random variables are listed to show the generality of the algorithm, and a radar cross‐section of a perfectly conducting cylinder coated by a layer of random plasma is illustrated as an example to show the practicability of the approach. The results are validated by comparing it with the Monte Carlo method. |
| first_indexed | 2024-04-11T14:15:05Z |
| format | Article |
| id | doaj.art-d4881e04917442a09fceff9100d610c1 |
| institution | Directory Open Access Journal |
| issn | 1751-8725 1751-8733 |
| language | English |
| last_indexed | 2024-04-11T14:15:05Z |
| publishDate | 2021-02-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Microwaves, Antennas & Propagation |
| spelling | doaj.art-d4881e04917442a09fceff9100d610c12022-12-22T04:19:33ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332021-02-0115222122810.1049/mia2.12040General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive mediaJiangfan Liu0Huiping Li1Xiaoli Xi2Electronic Engineering Department Xi'an University of Technology Xi'an People’s Republic of ChinaElectronic Engineering Department Xi'an University of Technology Xi'an People’s Republic of ChinaElectronic Engineering Department Xi'an University of Technology Xi'an People’s Republic of ChinaAbstract A new approach for using polynomial chaos‐based expansion finite‐difference time‐domain (PCE‐FDTD) is presented to calculate the uncertainty of electromagnetic wave propagation in dispersive materials. Based on the bilinear transform method, this approach performs polynomial expansion on random electromagnetic fields by PCE‐FDTD method. The proposed algorithm has a simple formulation and is very easy to extend to isotropic dispersive material. It has a general form for different types of random dispersive materials and can efficiently calculate the mean value and the SD of electromagnetic field components in a single run. Two examples of different dispersive media with two random variables are listed to show the generality of the algorithm, and a radar cross‐section of a perfectly conducting cylinder coated by a layer of random plasma is illustrated as an example to show the practicability of the approach. The results are validated by comparing it with the Monte Carlo method.https://doi.org/10.1049/mia2.12040chaosdispersive mediafinite difference time‐domain analysispolynomialselectromagnetic fieldsradar cross‐sections |
| spellingShingle | Jiangfan Liu Huiping Li Xiaoli Xi General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media IET Microwaves, Antennas & Propagation chaos dispersive media finite difference time‐domain analysis polynomials electromagnetic fields radar cross‐sections |
| title | General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media |
| title_full | General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media |
| title_fullStr | General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media |
| title_full_unstemmed | General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media |
| title_short | General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media |
| title_sort | general polynomial chaos based expansion finite difference time domain method for analysing electromagnetic wave propagation in random dispersive media |
| topic | chaos dispersive media finite difference time‐domain analysis polynomials electromagnetic fields radar cross‐sections |
| url | https://doi.org/10.1049/mia2.12040 |
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