Ultra-sensitive chip scale Sagnac gyroscope based on periodically modulated coupling of a coupled resonator optical waveguide

Christopher Sorrentino; John R. E. Toland; Christopher P. Search

doi:10.1364/OE.20.000354

Ultra-sensitive chip scale Sagnac gyroscope based on periodically modulated coupling of a coupled resonator optical waveguide

Christopher Sorrentino, John R. E. Toland, and Christopher P. Search

Optics Express
Vol. 20,
Issue 1,
pp. 354-363
(2012)
•doi: 10.1364/OE.20.000354

Get Citation
Copy Citation Text
Christopher Sorrentino, John R. E. Toland, and Christopher P. Search, "Ultra-sensitive chip scale Sagnac gyroscope based on periodically modulated coupling of a coupled resonator optical waveguide," Opt. Express 20, 354-363 (2012)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (890 KB)
Set citation alerts
Save article

Accessible

Open Access

Abstract

We analyze the sensitivity to inertial rotations Ω of a micron scale integrated gyroscope consisting of a coupled resonator optical waveguide (CROW). We show here that by periodic modulation of the evanescent coupling between resonators, the sensitivity to rotations can be enhanced by a factor up to 10⁹ in comparison to a conventional CROW with uniform coupling between resonators. Moreover, the overall shape of the transmission through this CROW superlattice is qualitatively changed resulting in a single sharp transmission resonance located at Ω = 0s⁻¹ instead of a broad transmission band. The modulated coupling therefore allows the CROW gyroscope to operate without phase biasing and with sensitivities suitable for inertial navigation even with the inclusion of resonator losses.

Full Article | PDF Article

References

View by:
Article Order
|
Year
|
Author
|
Publication

C. Ciminelli, F. Dell’Olio, C. E. Campanella, and M. N. Armenise, “Photonic technologies for angular velocity sensing,” Adv. Opt. Photon. 2, 370–404 (2010).
[Crossref]
B. Culshaw, “The optical fibre Sagnac interferometer: an overview of its principles and applications,” Meas. Sci. Technol. 17, R1–R16 (2006).
[Crossref]
F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]
F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photon. 1, 65–71 (2007).
[Crossref]
J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]
J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]
J. Scheuer and A. Yariv, “Sagnac effect in coupled-resonator slow-light waveguide structures,” Phys. Rev. Lett. 90, 053901 (2006).
[Crossref]
A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[Crossref]
M. A. Terrel, M. J. F. Digonnet, and S. Fan, “Performance limitation of a coupled resonant optical waveguide gyroscope,” J. Lightwave Technol. 27, 47–54 (2009).
[Crossref]
J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]
J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B 21, 1665–1673 (2004).
[Crossref]
G. Gupta, Y.-H. Kuo, H. Tazawa, W. H. Steier, A. Stapleton, and J. D. O’Brien, “Analysis and demonstration of coupling control in polymer microring resonators using photbleaching,” App. Opt. 48, 5324–5335 (2009).
[Crossref]
F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron photonic wires for on chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).
[Crossref] [PubMed]
H.-C. Liu and A. Yariv, “Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs),” Opt. Express 19, 17563–17668 (2011).
[Crossref]
U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]
A. Canciamilla, M. Torregiani, C. Ferrari, F. Morichetti, R. M. De La Rue, A. Samarelli, M. Sorel, and A. Melloni, “Silicon coupled-ring resonator structures for slow light applications: potential, impairments, and ultimate limits,” J. Opt. 12, 104008 (2010).
[Crossref]
B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B 24, 1216–1224 (2007).
[Crossref]
M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Exp. 18, 26505–26516 (2010).
[Crossref]
L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]
J. K. S. Poon, J. Scheuer, S. Mookherjea, G. T. Paloczi, Y. Huang, and A. Yariv, “Matrix analysis of microring coupled-resonator optical waveguides,” Opt. Express 12, 90–103 (2004).
[Crossref] [PubMed]
S. Merlo, M. Norgia, and S. Donati, “Fiber gyroscope principles” in Handbook of optical fibre sensing technology ed. J. M. Lopez-Higuera (John Wiley and Sons, NY, 2002), 331–347.
P. B. Ruffin, “Fiber optics gyroscope sensors” in Fiber Optic Sensors, 2nd ed. edited by F. T. S. Yu, S. Yin, and P. B. Ruffin (CRC Press, 2008).
J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

2011 (3)

H.-C. Liu and A. Yariv, “Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs),” Opt. Express 19, 17563–17668 (2011).
[Crossref]

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

2010 (3)

M. L. Cooper, G. Gupta, M. A. Schneider, W. M. J. Green, S. Assefa, F. Xia, Y. A. Vlasov, and S. Mookherjea, “Statistics of light transport in 235-ring silicon coupled-resonator optical waveguides,” Opt. Exp. 18, 26505–26516 (2010).
[Crossref]

A. Canciamilla, M. Torregiani, C. Ferrari, F. Morichetti, R. M. De La Rue, A. Samarelli, M. Sorel, and A. Melloni, “Silicon coupled-ring resonator structures for slow light applications: potential, impairments, and ultimate limits,” J. Opt. 12, 104008 (2010).
[Crossref]

C. Ciminelli, F. Dell’Olio, C. E. Campanella, and M. N. Armenise, “Photonic technologies for angular velocity sensing,” Adv. Opt. Photon. 2, 370–404 (2010).
[Crossref]

2009 (2)

M. A. Terrel, M. J. F. Digonnet, and S. Fan, “Performance limitation of a coupled resonant optical waveguide gyroscope,” J. Lightwave Technol. 27, 47–54 (2009).
[Crossref]

G. Gupta, Y.-H. Kuo, H. Tazawa, W. H. Steier, A. Stapleton, and J. D. O’Brien, “Analysis and demonstration of coupling control in polymer microring resonators using photbleaching,” App. Opt. 48, 5324–5335 (2009).
[Crossref]

2007 (4)

F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron photonic wires for on chip optical interconnects,” Opt. Express 15, 11934–11941 (2007).
[Crossref] [PubMed]

B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B 24, 1216–1224 (2007).
[Crossref]

J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photon. 1, 65–71 (2007).
[Crossref]

2006 (6)

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]

J. Scheuer and A. Yariv, “Sagnac effect in coupled-resonator slow-light waveguide structures,” Phys. Rev. Lett. 90, 053901 (2006).
[Crossref]

B. Culshaw, “The optical fibre Sagnac interferometer: an overview of its principles and applications,” Meas. Sci. Technol. 17, R1–R16 (2006).
[Crossref]

F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

Assefa, S.

Boag, A.

Campanella, C. E.

C. Ciminelli, F. Dell’Olio, C. E. Campanella, and M. N. Armenise, “Photonic technologies for angular velocity sensing,” Adv. Opt. Photon. 2, 370–404 (2010).
[Crossref]

Campbell, K.

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

Canciamilla, A.

Capmany, J.

J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

Cardenas, J.

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

Ciminelli, C.

C. Ciminelli, F. Dell’Olio, C. E. Campanella, and M. N. Armenise, “Photonic technologies for angular velocity sensing,” Adv. Opt. Photon. 2, 370–404 (2010).
[Crossref]

Cooper, M. L.

Culshaw, B.

B. Culshaw, “The optical fibre Sagnac interferometer: an overview of its principles and applications,” Meas. Sci. Technol. 17, R1–R16 (2006).
[Crossref]

De La Rue, R. M.

Dell’Olio, F.

C. Ciminelli, F. Dell’Olio, C. E. Campanella, and M. N. Armenise, “Photonic technologies for angular velocity sensing,” Adv. Opt. Photon. 2, 370–404 (2010).
[Crossref]

DeRose, G. A.

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]

Digonnet, M. J. F.

M. A. Terrel, M. J. F. Digonnet, and S. Fan, “Performance limitation of a coupled resonant optical waveguide gyroscope,” J. Lightwave Technol. 27, 47–54 (2009).
[Crossref]

Domenech, J. D.

J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

Donati, S.

S. Merlo, M. Norgia, and S. Donati, “Fiber gyroscope principles” in Handbook of optical fibre sensing technology ed. J. M. Lopez-Higuera (John Wiley and Sons, NY, 2002), 331–347.

Fainman, Y.

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

Fan, S.

M. A. Terrel, M. J. F. Digonnet, and S. Fan, “Performance limitation of a coupled resonant optical waveguide gyroscope,” J. Lightwave Technol. 27, 47–54 (2009).
[Crossref]

Ferrari, C.

Green, W. M. J.

Groisman, A.

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

Gupta, G.

Huang, Y.

Kaston, Z. A.

J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

Kuo, Y.-H.

Lee, R. K.

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[Crossref]

Levy, U.

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

Lipson, M.

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

Liu, H.-C.

H.-C. Liu and A. Yariv, “Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs),” Opt. Express 19, 17563–17668 (2011).
[Crossref]

Luo, L.-W.

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

Melloni, A.

Merlo, S.

S. Merlo, M. Norgia, and S. Donati, “Fiber gyroscope principles” in Handbook of optical fibre sensing technology ed. J. M. Lopez-Higuera (John Wiley and Sons, NY, 2002), 331–347.

Mookherjea, S.

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

Morichetti, F.

Munoz, P.

J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

Muriel, M. A.

J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

Norgia, M.

S. Merlo, M. Norgia, and S. Donati, “Fiber gyroscope principles” in Handbook of optical fibre sensing technology ed. J. M. Lopez-Higuera (John Wiley and Sons, NY, 2002), 331–347.

O’Boyle, M.

F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]

O’Brien, J. D.

Paloczi, G. T.

Poitras, C.

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

Poon, J. K. S.

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B 21, 1665–1673 (2004).
[Crossref]

Rooks, M.

Ruffin, P. B.

P. B. Ruffin, “Fiber optics gyroscope sensors” in Fiber Optic Sensors, 2nd ed. edited by F. T. S. Yu, S. Yin, and P. B. Ruffin (CRC Press, 2008).

Samarelli, A.

Scherer, A.

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[Crossref]

Scheuer, J.

J. Scheuer and A. Yariv, “Sagnac effect in coupled-resonator slow-light waveguide structures,” Phys. Rev. Lett. 90, 053901 (2006).
[Crossref]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B 21, 1665–1673 (2004).
[Crossref]

Schneider, M. A.

Search, C. P.

J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

Sekaric, L.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photon. 1, 65–71 (2007).
[Crossref]

F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]

Sorel, M.

Sorrentino, C.

J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

Stapleton, A.

Steier, W. H.

Steinberg, B. Z.

Tazawa, H.

Terrel, M. A.

M. A. Terrel, M. J. F. Digonnet, and S. Fan, “Performance limitation of a coupled resonant optical waveguide gyroscope,” J. Lightwave Technol. 27, 47–54 (2009).
[Crossref]

Toland, J. R. E.

J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

Torregiani, M.

Vlasov, Y.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photon. 1, 65–71 (2007).
[Crossref]

F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]

Vlasov, Y. A.

Wiederhecker, G. S.

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

Xia, F.

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photon. 1, 65–71 (2007).
[Crossref]

F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]

Xu, Y.

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B 21, 1665–1673 (2004).
[Crossref]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[Crossref]

Yariv, A.

H.-C. Liu and A. Yariv, “Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs),” Opt. Express 19, 17563–17668 (2011).
[Crossref]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]

J. Scheuer and A. Yariv, “Sagnac effect in coupled-resonator slow-light waveguide structures,” Phys. Rev. Lett. 90, 053901 (2006).
[Crossref]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B 21, 1665–1673 (2004).
[Crossref]

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[Crossref]

Zhu, L.

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]

Adv. Opt. Photon. (1)

C. Ciminelli, F. Dell’Olio, C. E. Campanella, and M. N. Armenise, “Photonic technologies for angular velocity sensing,” Adv. Opt. Photon. 2, 370–404 (2010).
[Crossref]

App. Opt. (1)

App. Phys. Lett. (2)

F. Xia, L. Sekaric, M. O’Boyle, and Y. Vlasov, “Coupled resonator optical waveguides based on silicon-on-insulator photonic wires,” App. Phys. Lett. 89, 041122 (2006).
[Crossref]

U. Levy, K. Campbell, A. Groisman, S. Mookherjea, and Y. Fainman, “On-chip microfluidic tuning of an optical microresonator,” App. Phys. Lett. 88, 111107 (2006).
[Crossref]

J. Lightwave Technol. (2)

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Polymer Microring Coupled-Resonator Optical Waveguides,” J. Lightwave Technol. 24, 1843–1849 (2006).
[Crossref]

M. A. Terrel, M. J. F. Digonnet, and S. Fan, “Performance limitation of a coupled resonant optical waveguide gyroscope,” J. Lightwave Technol. 27, 47–54 (2009).
[Crossref]

J. Opt. (1)

J. Opt. Soc. Am. B (2)

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, “Designing coupled-resonator optical waveguide delay lines,” J. Opt. Soc. Am. B 21, 1665–1673 (2004).
[Crossref]

Meas. Sci. Technol. (1)

B. Culshaw, “The optical fibre Sagnac interferometer: an overview of its principles and applications,” Meas. Sci. Technol. 17, R1–R16 (2006).
[Crossref]

Nat. Photon. (1)

F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photon. 1, 65–71 (2007).
[Crossref]

Opt. Exp. (1)

Opt. Express (5)

L.-W. Luo, G. S. Wiederhecker, J. Cardenas, C. Poitras, and M. Lipson, “High quality factor etchless silicon photonic ring resonators,” Opt. Express 19, 6284–6288 (2011).
[Crossref] [PubMed]

J. Capmany, P. Munoz, J. D. Domenech, and M. A. Muriel, “Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

H.-C. Liu and A. Yariv, “Synthesis of high-order bandpass filters based on coupled-resonator optical waveguides (CROWs),” Opt. Express 19, 17563–17668 (2011).
[Crossref]

Opt. Lett. (3)

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711–713 (1999).
[Crossref]

J. R. E. Toland, Z. A. Kaston, C. Sorrentino, and C. P. Search, “Chirped area coupled resonator optical waveguide gyroscope,” Opt. Lett. 36, 1221–1223 (2011).
[Crossref] [PubMed]

J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, “Transmission and group delay of microring coupled-resonator optical waveguides,” Opt. Lett. 31, 456–458 (2006).
[Crossref] [PubMed]

Phys. Rev. Lett. (1)

J. Scheuer and A. Yariv, “Sagnac effect in coupled-resonator slow-light waveguide structures,” Phys. Rev. Lett. 90, 053901 (2006).
[Crossref]

Other (2)

S. Merlo, M. Norgia, and S. Donati, “Fiber gyroscope principles” in Handbook of optical fibre sensing technology ed. J. M. Lopez-Higuera (John Wiley and Sons, NY, 2002), 331–347.

P. B. Ruffin, “Fiber optics gyroscope sensors” in Fiber Optic Sensors, 2nd ed. edited by F. T. S. Yu, S. Yin, and P. B. Ruffin (CRC Press, 2008).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.

Click here to see a list of articles that cite this paper

Fig. 1

(a) Illustration of micro-resonator CROW gyroscope on planar substrate connected to a 3dB coupler with periodic modulation of evanescent coupling between resonators. (b) Schematic diagram of proposed modulation scheme for evanescent couplings κ_j. Note that the green and red discs represent the strength of the evanescent coupling between resonators, which alternates between weak (green) and strong (red) coupling or vice versa symmetrically about the center resonator.

Download Full Size | PPT Slide | PDF

Fig. 2

(a) Transmission spectrum as a function of Sagnac phase shift per resonator ϕ_S for the alternating symmetric coupling modulation with κ_α = 0.1 and κ_β = 0.01 (red line). Notice the single transmission resonance at 0 phase. For comparison the transmission through CROWs with uniform coupling constants κ = 0.01 (blue line) and κ = 0.1 (green line) are also shown. In all plots N = 13. (b) Closeup of central transmission resonance for κ_α = 0.01 as a function of ϕ_S and κ_β for N = 9 rings. One can see clearly the narrowing of the resonance for increasing |κ_α – κ_β|.

Download Full Size | PPT Slide | PDF

Fig. 3

(a) Maximum value of dT/dϕ_S in the vicinity ϕ_S = 0 as a function of N for various coupling modulation strengths with weak coupling at the edges, κ_α ≪ κ_β. Also shown is the maximum dT/dϕ_S for a uniform CROW with κ = 0.01 at the edge of the transmission band. In this figure $Q_{int}^{- 1} = 0$ . (b) The same as part (a) except that coupling is strong at the edges, κ_α ≫ κ_β.

Download Full Size | PPT Slide | PDF

Fig. 4

(a) Effect of finite Q_int on the transmission resonance of the alternating symmetric coupling modulated CROW for κ_α = 0.01 and κ_β = 0.7 for N = 11 resonators. (b) Maximum value of dT/dϕ_S in the vicinity ϕ_S = 0 as a function of N for finite Q_int and coupling constants modulations κ_α = 0.01 and κ_β = 0.3 (corresponding to Fig. 3(a)) and κ_α = 0.3 and κ_β = 0.01 (corresponding to Fig. 3(b)). Also shown is the maximum dT/dϕ_S for a uniform CROW with κ = 0.01 at the edge of the transmission band. In both figures the resonators have radii R = 25μm and index of refraction n = 1.6

Download Full Size | PPT Slide | PDF

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ϕ_{S} = \frac{4 π ω Ω R^{2}}{c^{2}}

U_{in} = \frac{i}{\sqrt{κ_{1}}} (\begin{matrix} \exp [i ϕ_{1}] & - \sqrt{1 - κ_{1}} \exp [i ϕ_{1}] \\ \sqrt{1 - κ_{1}} \exp [- i ϕ_{1}] & - \exp [- i ϕ_{1}] \end{matrix})

U_{out} = \frac{- i}{\sqrt{κ_{N + 1}}} (\begin{matrix} \exp [i ϕ_{N}] & - \sqrt{1 - κ_{N + 1}} \exp [- i ϕ_{N}] \\ \sqrt{1 - κ_{N + 1}} \exp [i ϕ_{N}] & - \exp [- i ϕ_{N}] \end{matrix}) (\begin{matrix} \frac{i \sqrt{1 - κ_{N}}}{\sqrt{κ_{N}}} & \frac{i}{\sqrt{κ_{N}}} \\ \frac{i}{\sqrt{κ_{N}}} & \frac{- i \sqrt{1 - κ_{N}}}{\sqrt{κ_{N}}} \end{matrix})

U_{R H M}^{(j)} = (\begin{matrix} \frac{i \sqrt{1 - κ_{j}}}{\sqrt{κ_{j}}} \exp [i ϕ_{j}] & - \frac{i}{\sqrt{κ_{j}}} \exp [i ϕ_{j}] \\ \frac{i}{\sqrt{κ_{j}}} \exp [- i ϕ_{j}] & - \frac{i \sqrt{1 - κ_{j}}}{\sqrt{κ_{j}}} \exp [- i ϕ_{j}] \end{matrix}),

U_{L H M}^{(j)} = (\begin{matrix} - \frac{i \sqrt{1 - κ_{j}}}{\sqrt{κ_{j}}} \exp [- i ϕ_{j}] & \frac{i}{\sqrt{κ_{j}}} \exp [- i ϕ_{j}] \\ - \frac{i}{\sqrt{κ_{j}}} \exp [i ϕ_{j}] & \frac{i \sqrt{1 - κ_{j}}}{\sqrt{κ_{j}}} \exp [i ϕ_{j}] \end{matrix})

T_{C C W} = U_{out} \prod_{l = 1}^{(N - 3) / 2} U_{L H M}^{(2 l + 2)} U_{R H M}^{(2 l + 1)} U_{L H M}^{(2)} U_{i n}

= (\begin{matrix} T_{11} & T_{12} \\ T_{21} & T_{22} \end{matrix})

κ_{j} = {\begin{matrix} κ_{α} & j = 1, 3, 5, \dots (N \pm 1) / 2 \\ κ_{β} & j = 2, 4, 6, \dots (N \mp 1) / 2 \\ κ_{α} & j = 2 + (N \mp 1) / 2, 4 + (N \mp 1) / 2, \dots, N + 1 \\ κ_{β} & j = 2 + (N \pm) 1 / 2, 4 + (N \pm 1) / 2, \dots N \end{matrix}

Ω_{\min} = \frac{λ c}{8 π A_{eff}} \sqrt{\frac{2 h c Δ f}{λ η P_{opt}}}

Abstract

References

2011 (3)

2010 (3)

2009 (2)

2007 (4)

2006 (6)

2004 (2)

1999 (1)

Armenise, M. N.

Assefa, S.

Boag, A.

Campanella, C. E.

Campbell, K.

Canciamilla, A.

Capmany, J.

Cardenas, J.

Ciminelli, C.

Cooper, M. L.

Culshaw, B.

De La Rue, R. M.

Dell’Olio, F.

DeRose, G. A.

Digonnet, M. J. F.

Domenech, J. D.

Donati, S.

Fainman, Y.

Fan, S.

Ferrari, C.

Green, W. M. J.

Groisman, A.

Gupta, G.

Huang, Y.

Kaston, Z. A.

Kuo, Y.-H.

Lee, R. K.

Levy, U.

Lipson, M.

Liu, H.-C.

Luo, L.-W.

Melloni, A.

Merlo, S.

Mookherjea, S.

Morichetti, F.

Munoz, P.

Muriel, M. A.

Norgia, M.

O’Boyle, M.

O’Brien, J. D.

Paloczi, G. T.

Poitras, C.

Poon, J. K. S.

Rooks, M.

Ruffin, P. B.

Samarelli, A.

Scherer, A.

Scheuer, J.

Schneider, M. A.

Search, C. P.

Sekaric, L.

Sorel, M.

Sorrentino, C.

Stapleton, A.

Steier, W. H.

Steinberg, B. Z.

Tazawa, H.

Terrel, M. A.

Toland, J. R. E.

Torregiani, M.

Vlasov, Y.

Vlasov, Y. A.

Wiederhecker, G. S.

Xia, F.

Xu, Y.

Yariv, A.

Zhu, L.

Adv. Opt. Photon. (1)

App. Opt. (1)

App. Phys. Lett. (2)

J. Lightwave Technol. (2)