{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:27:00Z","timestamp":1760146020845,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2024,9,29]],"date-time":"2024-09-29T00:00:00Z","timestamp":1727568000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Satellite-borne electromagnetic pulse (EMP) detection technology plays an important role in military reconnaissance, space environment monitoring, and early warning of natural disasters. However, the complex ionosphere greatly distorts the waveform during propagation and poses a challenge to EMP detection. Therefore, it is necessary to conduct theoretical research on EMP propagation in the ionosphere. Conventional second-order pseudo-spectral time-domain (PSTD-2) algorithm has difficulties in keeping the stability and accuracy of waveforms in calculations over hundreds of kilometers of propagation. To overcome the difficulties, a fourth-order PSTD algorithm incorporating the moving window technique (MWPSTD-4) is proposed. In the numerical examples, the performance of MWPSTD-4 is compared with PSTD-4 and PSTD-2 in the long-distance propagation of EMP. The results show that the MWPSTD-4 improves efficiency while guaranteeing accuracy and is suitable for large-scale electromagnetic field simulation. The proposed method provides a basic algorithm to eliminate the numerical dispersion interference for calculating the long-distance propagation of EMP in complex spaces and is helpful for the design and calibration of satellite-borne EMP detectors.<\/jats:p>","DOI":"10.3390\/s24196317","type":"journal-article","created":{"date-parts":[[2024,9,30]],"date-time":"2024-09-30T07:19:37Z","timestamp":1727680777000},"page":"6317","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Efficient Fourth-Order PSTD Algorithm with Moving Window for Long-Distance EMP Propagation"],"prefix":"10.3390","volume":"24","author":[{"given":"Yongli","family":"Wei","sequence":"first","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Baofeng","family":"Cao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Zongxiang","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Tianchi","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Changjiao","family":"Duan","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"},{"name":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Xiao","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Xiaoqiang","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Peng","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of NBC Protection for Civilian, Beijing 102205, China"}],"role":[{"role":"author","vocab":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1029\/1998RS900043","article-title":"FORTE observations of lightning radio-frequency signatures: Capabilities and basic results","volume":"34","author":"Jacobson","year":"1999","journal-title":"Radio Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1029\/95GL00432","article-title":"Satellite observations of trans-ionospheric pulse pairs","volume":"22","author":"Holden","year":"1995","journal-title":"Geophys. 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