Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides
We investigate the design of taper structures for coupling to slow-light modes of various photonic-crystal waveguides while taking into account parameter uncertainties inherent in practical fabrication. Our short-length (11 periods) robust tapers designed for λ = 1.55μm and a slow-light group veloci...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | en_US |
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Optical Society of America
2013
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| Online Access: | http://hdl.handle.net/1721.1/76678 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 |
| _version_ | 1811082382742126592 |
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| author | Oskooi, Ardavan Mutapcic, Almir Noda, Susumu Boyd, Stephen P. Joannopoulos, John Johnson, Steven G |
| author2 | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies |
| author_facet | Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Oskooi, Ardavan Mutapcic, Almir Noda, Susumu Boyd, Stephen P. Joannopoulos, John Johnson, Steven G |
| author_sort | Oskooi, Ardavan |
| collection | MIT |
| description | We investigate the design of taper structures for coupling to slow-light modes of various photonic-crystal waveguides while taking into account parameter uncertainties inherent in practical fabrication. Our short-length (11 periods) robust tapers designed for λ = 1.55μm and a slow-light group velocity of c/34 have a total loss of < 20dB even in the presence of nanometer-scale surface roughness, which outperform the corresponding non-robust designs by an order of magnitude. We discover a posteriori that the robust designs have smooth profiles that can be parameterized by a few-term (intrinsically smooth) sine series which helps the optimization to further boost the performance slightly. We ground these numerical results in an analytical foundation by deriving the scaling relationships between taper length, taper smoothness, and group velocity with the help of an exact equivalence with Fourier analysis. |
| first_indexed | 2024-09-23T12:02:12Z |
| format | Article |
| id | mit-1721.1/76678 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:02:12Z |
| publishDate | 2013 |
| publisher | Optical Society of America |
| record_format | dspace |
| spelling | mit-1721.1/766782022-09-27T23:40:12Z Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides Oskooi, Ardavan Mutapcic, Almir Noda, Susumu Boyd, Stephen P. Joannopoulos, John 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. Johnson, Steven G. We investigate the design of taper structures for coupling to slow-light modes of various photonic-crystal waveguides while taking into account parameter uncertainties inherent in practical fabrication. Our short-length (11 periods) robust tapers designed for λ = 1.55μm and a slow-light group velocity of c/34 have a total loss of < 20dB even in the presence of nanometer-scale surface roughness, which outperform the corresponding non-robust designs by an order of magnitude. We discover a posteriori that the robust designs have smooth profiles that can be parameterized by a few-term (intrinsically smooth) sine series which helps the optimization to further boost the performance slightly. We ground these numerical results in an analytical foundation by deriving the scaling relationships between taper length, taper smoothness, and group velocity with the help of an exact equivalence with Fourier analysis. United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Contract FA9550-09-1-0704) United States. Army Research Office. (Contract W911NF-07-D-0004) 2013-01-30T19:35:23Z 2013-01-30T19:35:23Z 2012-09 2012-08 Article http://purl.org/eprint/type/JournalArticle 1094-4087 http://hdl.handle.net/1721.1/76678 Oskooi, Ardavan et al. “Robust Optimization of Adiabatic Tapers for Coupling to Slow-light Photonic-crystal Waveguides.” Optics Express 20.19 (2012): 21558. © 2012 OSA https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 en_US http://dx.doi.org/10.1364/OE.20.021558 Optics Express 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 Optical Society of America Stanford University web domain |
| spellingShingle | Oskooi, Ardavan Mutapcic, Almir Noda, Susumu Boyd, Stephen P. Joannopoulos, John Johnson, Steven G Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides |
| title | Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides |
| title_full | Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides |
| title_fullStr | Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides |
| title_full_unstemmed | Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides |
| title_short | Robust optimization of adiabatic tapers for coupling to slow-light photonic-crystal waveguides |
| title_sort | robust optimization of adiabatic tapers for coupling to slow light photonic crystal waveguides |
| url | http://hdl.handle.net/1721.1/76678 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0002-7244-3682 |
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