The effect of thin coatings on second harmonic generation
The effect of thin coatings of nonlinear material on second harmonic generation is studied in this paper. Asymptotic expansions of the fields inside a thin nonlinear coating are performed. The convergence of these formal expansions is established. Our asymptotic analysis reveals the physical nature...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1999-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/36/abstr.html |
| _version_ | 1811282906005372928 |
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| author | Habib Ammari Gang Bao Kamel Hamdache |
| author_facet | Habib Ammari Gang Bao Kamel Hamdache |
| author_sort | Habib Ammari |
| collection | DOAJ |
| description | The effect of thin coatings of nonlinear material on second harmonic generation is studied in this paper. Asymptotic expansions of the fields inside a thin nonlinear coating are performed. The convergence of these formal expansions is established. Our asymptotic analysis reveals the physical nature of this nonlinear problem. It also provides an effective method for overcoming the computational difficulties that arise in thin nonlinear coatings. |
| first_indexed | 2024-04-13T02:00:55Z |
| format | Article |
| id | doaj.art-ba9f13a407f849aebb6235e302d362da |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T02:00:55Z |
| publishDate | 1999-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-ba9f13a407f849aebb6235e302d362da2022-12-22T03:07:37ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911999-09-01199936113The effect of thin coatings on second harmonic generationHabib AmmariGang BaoKamel HamdacheThe effect of thin coatings of nonlinear material on second harmonic generation is studied in this paper. Asymptotic expansions of the fields inside a thin nonlinear coating are performed. The convergence of these formal expansions is established. Our asymptotic analysis reveals the physical nature of this nonlinear problem. It also provides an effective method for overcoming the computational difficulties that arise in thin nonlinear coatings.http://ejde.math.txstate.edu/Volumes/1999/36/abstr.htmlThin coatingssecond harmonic generationasymptotic analysis. |
| spellingShingle | Habib Ammari Gang Bao Kamel Hamdache The effect of thin coatings on second harmonic generation Electronic Journal of Differential Equations Thin coatings second harmonic generation asymptotic analysis. |
| title | The effect of thin coatings on second harmonic generation |
| title_full | The effect of thin coatings on second harmonic generation |
| title_fullStr | The effect of thin coatings on second harmonic generation |
| title_full_unstemmed | The effect of thin coatings on second harmonic generation |
| title_short | The effect of thin coatings on second harmonic generation |
| title_sort | effect of thin coatings on second harmonic generation |
| topic | Thin coatings second harmonic generation asymptotic analysis. |
| url | http://ejde.math.txstate.edu/Volumes/1999/36/abstr.html |
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