{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:54:25Z","timestamp":1760147665226,"version":"build-2065373602"},"reference-count":59,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T00:00:00Z","timestamp":1677110400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"],"award-info":[{"award-number":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"]}]},{"name":"National Natural Science Foundation of China","award":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"],"award-info":[{"award-number":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"]}]},{"name":"Jilin Provincial Research Foundation for Basic Research, China","award":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"],"award-info":[{"award-number":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"]}]},{"name":"Foundation of Education Department of Liaoning Province, China","award":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"],"award-info":[{"award-number":["2019YFA0307700","2022YFE0134200","12074145","12204214","11627807","20220101003JC","LJKMZ20221435"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>By using the numerical solution of the time-dependent Schr\u00f6dinger equation, we theoretically explored the high-order harmonic generation process under the interaction of high-intensity two-color ultrashort driving laser pulses with atoms. The symmetry of the electric field of the laser pulse will be broken. The producing electric field was controlled at the subcycle level by an IR laser and its second harmonic, which has the unique characteristic that two sequential half-cycles become distinct, rather than merely opposite in sign. Compared with the case of the atom in the fundamental laser pulse, the harmonic efficiency showed an increase of 1\u223c2 orders of magnitude at specific harmonic order with this combined pulse action. Through the theoretical analysis with the \u201cthree-step model\u201d, it was demonstrated that the enhancement of the harmonic intensity is due to the fast ionization of electrons at the ionization moment and the short time from ionization to recombination of ionized electrons. In addition, effects of the peak field amplitude ratio, the full width at half maximum, the phase delay of the two-color pulses, the laser intensity and ionization probability on the harmonic efficiency enhancement were also investigated.<\/jats:p>","DOI":"10.3390\/sym15030580","type":"journal-article","created":{"date-parts":[[2023,2,23]],"date-time":"2023-02-23T03:25:56Z","timestamp":1677122756000},"page":"580","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["High-Intensity Harmonic Generation with Energy Tunability Produced by Robust Two-Color Linearly Polarized Laser Fields"],"prefix":"10.3390","volume":"15","author":[{"given":"Wendi","family":"Lan","sequence":"first","affiliation":[{"name":"Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China"},{"name":"Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China"}]},{"given":"Xinyu","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China"},{"name":"Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China"}]},{"given":"Yue","family":"Qiao","sequence":"additional","affiliation":[{"name":"Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China"},{"name":"Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China"}]},{"given":"Shushan","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China"}]},{"given":"Jigen","family":"Chen","sequence":"additional","affiliation":[{"name":"Zhejiang Provincial Key Laboratory for Cutting Tools, Taizhou University, Jiaojiang 318000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3039-6371","authenticated-orcid":false,"given":"Jun","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China"},{"name":"Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China"}]},{"given":"Fuming","family":"Guo","sequence":"additional","affiliation":[{"name":"Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China"},{"name":"Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China"}]},{"given":"Yujun","family":"Yang","sequence":"additional","affiliation":[{"name":"Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China"},{"name":"Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"173901","DOI":"10.1103\/PhysRevLett.105.173901","article-title":"Bright, coherent, ultrafast soft X-ray harmonics spanning the water window from a tabletop light source","volume":"105","author":"Chen","year":"2010","journal-title":"Phys. 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