High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities
Using a combination of temporal coupled-mode theory and nonlinear finite-difference time-domain (FDTD) simulations, we study the nonlinear dynamics of all-resonant four-wave mixing processes and demonstrate the possibility of achieving high-efficiency limit cycles and steady states that lead to ≈100...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88624 https://orcid.org/0000-0001-7327-4967 |
| _version_ | 1826217504648724480 |
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| author | Lin, Zin Alcorn, Thomas Loncar, Marko Johnson, Steven G. Rodriguez, Alejandro W. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lin, Zin Alcorn, Thomas Loncar, Marko Johnson, Steven G. Rodriguez, Alejandro W. |
| author_sort | Lin, Zin |
| collection | MIT |
| description | Using a combination of temporal coupled-mode theory and nonlinear finite-difference time-domain (FDTD) simulations, we study the nonlinear dynamics of all-resonant four-wave mixing processes and demonstrate the possibility of achieving high-efficiency limit cycles and steady states that lead to ≈100% depletion of the incident light at low input (critical) powers. Our analysis extends previous predictions to capture important effects associated with losses, self- and cross-phase modulation, and imperfect frequency matching (detuning) of the cavity frequencies. We find that maximum steady-state conversion is hypersensitive to frequency mismatch, resulting in high-efficiency limit cycles that arise from the presence of a homoclinic bifurcation in the solution phase space, but that a judicious choice of incident frequencies and input powers, in conjuction with self-phase and cross-phase modulation, can restore high-efficiency steady-state conversion even for large frequency mismatch. Assuming operation in the telecom range, we predict close to perfect quantum efficiencies at reasonably low ∼50mW input powers in silicon micrometer-scale PhC nanobeam cavities. |
| first_indexed | 2024-09-23T17:04:55Z |
| format | Article |
| id | mit-1721.1/88624 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:04:55Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/886242022-09-29T23:31:40Z High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities Lin, Zin Alcorn, Thomas Loncar, Marko Johnson, Steven G. Rodriguez, Alejandro W. Massachusetts Institute of Technology. Department of Mathematics Alcorn, Thomas Johnson, Steven G. Using a combination of temporal coupled-mode theory and nonlinear finite-difference time-domain (FDTD) simulations, we study the nonlinear dynamics of all-resonant four-wave mixing processes and demonstrate the possibility of achieving high-efficiency limit cycles and steady states that lead to ≈100% depletion of the incident light at low input (critical) powers. Our analysis extends previous predictions to capture important effects associated with losses, self- and cross-phase modulation, and imperfect frequency matching (detuning) of the cavity frequencies. We find that maximum steady-state conversion is hypersensitive to frequency mismatch, resulting in high-efficiency limit cycles that arise from the presence of a homoclinic bifurcation in the solution phase space, but that a judicious choice of incident frequencies and input powers, in conjuction with self-phase and cross-phase modulation, can restore high-efficiency steady-state conversion even for large frequency mismatch. Assuming operation in the telecom range, we predict close to perfect quantum efficiencies at reasonably low ∼50mW input powers in silicon micrometer-scale PhC nanobeam cavities. Massachusetts Institute of Technology. Undergraduate Research Opportunities Program Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-13-D-0001) 2014-08-08T17:09:32Z 2014-08-08T17:09:32Z 2014-05 2014-03 2014-07-23T20:48:18Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/88624 Lin, Zin, Thomas Alcorn, Marko Loncar, Steven G. Johnson, and Alejandro W. Rodriguez. “High-Efficiency Degenerate Four-Wave Mixing in Triply Resonant Nanobeam Cavities.” Phys. Rev. A 89, no. 5 (May 2014). © 2014 American Physical Society https://orcid.org/0000-0001-7327-4967 en http://dx.doi.org/10.1103/PhysRevA.89.053839 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Lin, Zin Alcorn, Thomas Loncar, Marko Johnson, Steven G. Rodriguez, Alejandro W. High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities |
| title | High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities |
| title_full | High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities |
| title_fullStr | High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities |
| title_full_unstemmed | High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities |
| title_short | High-efficiency degenerate four-wave mixing in triply resonant nanobeam cavities |
| title_sort | high efficiency degenerate four wave mixing in triply resonant nanobeam cavities |
| url | http://hdl.handle.net/1721.1/88624 https://orcid.org/0000-0001-7327-4967 |
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