Nonlinear harmonic generation and devices in doubly resonant Kerr cavities
We describe a theoretical analysis of the nonlinear dynamics of third-harmonic generation (ω→3ω) via Kerr (χ(3)) nonlinearities in a resonant cavity with resonances at both ω and 3ω. Such a doubly resonant cavity greatly reduces the required power for efficient harmonic generation, by a factor of ∼V...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51730 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7184-5831 https://orcid.org/0000-0002-7244-3682 |
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| author | Hashemi, Hila Rodriguez, Alejandro W. Joannopoulos, John D. Soljacic, Marin Johnson, Steven G. |
| author2 | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies |
| author_facet | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Hashemi, Hila Rodriguez, Alejandro W. Joannopoulos, John D. Soljacic, Marin Johnson, Steven G. |
| author_sort | Hashemi, Hila |
| collection | MIT |
| description | We describe a theoretical analysis of the nonlinear dynamics of third-harmonic generation (ω→3ω) via Kerr (χ(3)) nonlinearities in a resonant cavity with resonances at both ω and 3ω. Such a doubly resonant cavity greatly reduces the required power for efficient harmonic generation, by a factor of ∼V∕Q(2), where V is the modal volume and Q is the lifetime, and can even exhibit 100% harmonic conversion efficiency at a critical input power. However, we show that it also exhibits a rich variety of nonlinear dynamics, such as multistable solutions and long-period limit cycles. We describe how to compensate for self- and cross-phase modulation (which otherwise shifts the cavity frequencies out of resonance), and how to excite the different stable solutions (and especially the high-efficiency solutions) by specially modulated input pulses. |
| first_indexed | 2024-09-23T14:19:40Z |
| format | Article |
| id | mit-1721.1/51730 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:19:40Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/517302022-10-01T20:38:32Z Nonlinear harmonic generation and devices in doubly resonant Kerr cavities Hashemi, Hila Rodriguez, Alejandro W. Joannopoulos, John D. Soljacic, Marin Johnson, Steven G. Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Physics Joannopoulos, John D. Hashemi, Hila Rodriguez, Alejandro W. Joannopoulos, John D. Soljacic, Marin Johnson, Steven G. We describe a theoretical analysis of the nonlinear dynamics of third-harmonic generation (ω→3ω) via Kerr (χ(3)) nonlinearities in a resonant cavity with resonances at both ω and 3ω. Such a doubly resonant cavity greatly reduces the required power for efficient harmonic generation, by a factor of ∼V∕Q(2), where V is the modal volume and Q is the lifetime, and can even exhibit 100% harmonic conversion efficiency at a critical input power. However, we show that it also exhibits a rich variety of nonlinear dynamics, such as multistable solutions and long-period limit cycles. We describe how to compensate for self- and cross-phase modulation (which otherwise shifts the cavity frequencies out of resonance), and how to excite the different stable solutions (and especially the high-efficiency solutions) by specially modulated input pulses. Department of Energy Computational Science Fellowship Army Research Office, ISN 2010-02-11T21:24:54Z 2010-02-11T21:24:54Z 2009-01 2008-10 Article http://purl.org/eprint/type/JournalArticle 1094-1622 1050-2947 http://hdl.handle.net/1721.1/51730 Hashemi, Hila et al. “Nonlinear harmonic generation and devices in doubly resonant Kerr cavities.” Physical Review A 79.1 (2009): 013812. (C)2010 The American Physical Society. https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7184-5831 https://orcid.org/0000-0002-7244-3682 en_US http://dx.doi.org/10.1103/PhysRevA.79.013812 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Hashemi, Hila Rodriguez, Alejandro W. Joannopoulos, John D. Soljacic, Marin Johnson, Steven G. Nonlinear harmonic generation and devices in doubly resonant Kerr cavities |
| title | Nonlinear harmonic generation and devices in doubly resonant Kerr cavities |
| title_full | Nonlinear harmonic generation and devices in doubly resonant Kerr cavities |
| title_fullStr | Nonlinear harmonic generation and devices in doubly resonant Kerr cavities |
| title_full_unstemmed | Nonlinear harmonic generation and devices in doubly resonant Kerr cavities |
| title_short | Nonlinear harmonic generation and devices in doubly resonant Kerr cavities |
| title_sort | nonlinear harmonic generation and devices in doubly resonant kerr cavities |
| url | http://hdl.handle.net/1721.1/51730 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7184-5831 https://orcid.org/0000-0002-7244-3682 |
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