A direct analysis of photonic nanostructures

doi:10.1364/OE.14.003472

A direct analysis of photonic nanostructures

Dirk Englund and Jelena Vučković »View Author Affiliations

Optics Express, Vol. 14, Issue 8, pp. 3472-3483 (2006)
http://dx.doi.org/10.1364/OE.14.003472

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Abstract
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References (13)
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Abstract

We present a method for directly analyzing photonic nano-devices and apply it to photonic crystal cavities. Two-dimensional photonic crystals are scanned and reproduced in computer memory for Finite Difference Time Domain simuations. The results closely match experimental observations, with a fidelity far beyond that for idealized structures. This analysis allows close examination of error mechanisms and analytical error models.

OCIS Codes
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(140.3410) Lasers and laser optics : Laser resonators
(140.5960) Lasers and laser optics : Semiconductor lasers
(230.5750) Optical devices : Resonators

ToC Category:
Optical Devices

History
Original Manuscript: February 17, 2006
Revised Manuscript: April 4, 2006
Manuscript Accepted: April 11, 2006
Published: April 17, 2006

Citation
Dirk Englund and Jelena Vučković, "A direct analysis of photonic nanostructures," Opt. Express 14, 3472-3483 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-8-3472

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References

S. G. Johnson, M. I. Povinelli, M. Soljacic, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B: Lasers Opt. 81, 283-293 (2005). [CrossRef]
S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic Crystal waveguides: role of fabrication disorder and photon Group velocity." Phys. Rev. Lett. 94, 033,903-003,904 (2005). [CrossRef]
A. F. Koenderink, A. Lagendijk, and W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B. 72, 153,102- (2005). [CrossRef]
P. Vukusic and J. R. Sambles, "Photonic structures in biology," Nature 424, 852-855 (2003). [CrossRef] [PubMed]
J. Vuckovic and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot." Appl. Phys. Lett. 82, 2374-2376 (2003). [CrossRef]
D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95013904 (2005). [CrossRef] [PubMed]
K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwells Equation and the Schrödinger Equation (Wiley-Interscience Publications, New York, 2001). [PubMed]
S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, "Perturbation theory for Maxwells equations with shifting material boundaries," Phys. Rev. E 65066611 (2002). [CrossRef]
D. Englund, I. Fushman, and J. Vučković, "General recipe for designing photonic crystal cavities," Opt. Express 12, 5961-5975 (2005). [CrossRef]
J. H.C. Casey, D. D. Sell, and K. W. Wecht, "," J. Appl. Phys. 46, 250 (1975). [CrossRef]
A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley Interscience, 2003).
G. C. DeSalvo, C. A. Bozada, J. L. Ebel, D. C. Look, J. P. Barrette, C. L. A. Cerny, R. W. Dettmer, J. K. Gillespie, C. K. Havasy, T. J. Jenkins, K. Nakano, C. I. Pettiford, T. K. Quach, J. S. Sewell, and G. D. Via, "Wet chemical digital etching of GaAs at room temperature," J. Electrochem. Soc. 143, 3652-3656 (1996). [CrossRef]
J. Schilling, F. Muller, S. Matthias, R. B. Wehrspohn, U. Gosele, and K. Busch, "Three-dimensional photonic crystals based on macroporous silicon with modulated pore diameter," Appl. Phys. Lett. 78, 1180-1182 (2001). [CrossRef]

Arakawa, Y.
Barrette, J. P.
Bozada, C. A.
Busch, K.
Casey, J. H.C.
Cerny, C. L. A.
DeSalvo, G. C.
Dettmer, R. W.
Ebel, J. L.
Englund, D.
Fattal, D.
Fink, Y.
Fushman, I.
Gillespie, J. K.
Gosele, U.
Havasy, C. K.
Ibanescu, M.
Jacobs, S.
Jenkins, T. J.
Joannopoulos, J. D.
Johnson, S. G.
Karalis, A.
Look, D. C.
Matthias, S.
Muller, F.
Nakano, K.
Nakaoka, T.
Pettiford, C. I.
Povinelli, M. I.
Quach, T. K.
Sambles, J. R.
Schilling, J.
Sell, D. D.
Sewell, J. S.
Skorobogatiy, M. A.
Soljacic, M.
Solomon, G.
Via, G. D.
Vuckovic, J.
Vuckovic, J. J.
Vukusic, P.
Waks, E.
Wecht, K. W.
Wehrspohn, R. B.
Weisberg, O.
Yamamoto, Y.
Zhang, B.

Appl. Phys. B: Lasers Opt.

S. G. Johnson, M. I. Povinelli, M. Soljacic, A. Karalis, S. Jacobs, and J. D. Joannopoulos, "Roughness losses and volume-current methods in photonic-crystal waveguides," Appl. Phys. B: Lasers Opt. 81, 283-293 (2005). [CrossRef]

Appl. Phys. Lett.

J. Vuckovic and Y. Yamamoto, "Photonic crystal microcavities for cavity quantum electrodynamics with a single quantum dot." Appl. Phys. Lett. 82, 2374-2376 (2003). [CrossRef]
J. Schilling, F. Muller, S. Matthias, R. B. Wehrspohn, U. Gosele, and K. Busch, "Three-dimensional photonic crystals based on macroporous silicon with modulated pore diameter," Appl. Phys. Lett. 78, 1180-1182 (2001). [CrossRef]

J. Appl. Phys.

J. H.C. Casey, D. D. Sell, and K. W. Wecht, "," J. Appl. Phys. 46, 250 (1975). [CrossRef]

J. Electrochem. Soc.

G. C. DeSalvo, C. A. Bozada, J. L. Ebel, D. C. Look, J. P. Barrette, C. L. A. Cerny, R. W. Dettmer, J. K. Gillespie, C. K. Havasy, T. J. Jenkins, K. Nakano, C. I. Pettiford, T. K. Quach, J. S. Sewell, and G. D. Via, "Wet chemical digital etching of GaAs at room temperature," J. Electrochem. Soc. 143, 3652-3656 (1996). [CrossRef]

Nature

P. Vukusic and J. R. Sambles, "Photonic structures in biology," Nature 424, 852-855 (2003). [CrossRef] [PubMed]

Opt. Express

D. Englund, I. Fushman, and J. Vučković, "General recipe for designing photonic crystal cavities," Opt. Express 12, 5961-5975 (2005). [CrossRef]

Phys. Rev. E

S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, "Perturbation theory for Maxwells equations with shifting material boundaries," Phys. Rev. E 65066611 (2002). [CrossRef]

Phys. Rev. Lett.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. J. Vučković, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95013904 (2005). [CrossRef] [PubMed]

Other

K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Solving Maxwells Equation and the Schrödinger Equation (Wiley-Interscience Publications, New York, 2001). [PubMed]
S. Hughes, L. Ramunno, J. F. Young, and J. E. Sipe, "Extrinsic optical scattering loss in photonic Crystal waveguides: role of fabrication disorder and photon Group velocity." Phys. Rev. Lett. 94, 033,903-003,904 (2005). [CrossRef]
A. F. Koenderink, A. Lagendijk, and W. L. Vos, "Optical extinction due to intrinsic structural variations of photonic crystals," Phys. Rev. B. 72, 153,102- (2005). [CrossRef]
A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley Interscience, 2003).

2005, Johnson, Appl. Phys. B: Lasers Opt.
2005, Englund, Phys. Rev. Lett.
2005, Englund, Opt. Express
2003, Vukusic, Nature
2003, Vuckovic, Appl. Phys. Lett.
2002, Johnson, Phys. Rev. E
2001, Schilling, Appl. Phys. Lett.
1996, DeSalvo, J. Electrochem. Soc.
1975, Casey, J. Appl. Phys.

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