J.
Scheuer
,
G. T.
Paloczi
,
J. K. S.
Poon
, and
A.
Yariv
, “
Coupled Resonator Optical Waveguides: Towards Slowing and Storing of Light
,”
Opt. Photon. News
16
, 36 – 40 ( 2005 ).
[Crossref]
B. S.
Song
,
S.
Noda
,
T.
Asano
, and
Y.
Akahane
, “
Ultra-high-Q photonic double-heterostructure nanocavity
,”
Nature Materials
4
, 207 – 210 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
InGaAsP annular Bragg lasers: Theory, applications and modal properties
,”
IEEE J. Sel. Top. Quantum Electron.
11
, 476 – 484 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Lasing from a circular Bragg nanocavity with and ultrasmall modal volume
,”
Appl. Phys. Lett.
86
, 251101 ( 2005 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Circular photonic crystal resonators
,”
Physical Review E
70
, 036603 ( 2004 ).
[Crossref]
M.
Lončar
et al. “
High quality factors and room-temperature lasing in a modified single-defect photonic crystal cavity
,”
Opt. Lett.
29
, 721 – 723 ( 2004 ).
[Crossref]
[PubMed]
H. Y.
Ryu
,
M.
Notomi
,
G. H.
Kim
, and
Y. H.
Lee
, “
High quality-factor whispering-gallery mode in the photonic crystal hexagonal disk cavity
,”
Opt. Express
12
, 1708 – 1719 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1708 .
[Crossref]
[PubMed]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Low Threshold Two-Dimensional Annular Bragg Lasers
,”
Opt. Lett.
29
, 2641 – 2643 ( 2004 ).
[Crossref]
[PubMed]
A.
Melloni
,
R.
Costa
,
P.
Monguzzi
, and
M.
Martinelli
, “
Ring-resonator filters in silicon oxynitride technology for dense wavelength-division multiplexing systems
,”
Opt. Lett.
28
, 1567 – 1569 ( 2003 ).
[Crossref]
[PubMed]
J.
Scheuer
and
A.
Yariv
, “
Annular Bragg Defect mode Resonators
,”
J. Opt. Soc. Am. B.
20
, 2285 – 2291 ( 2003 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators
,”
IEEE J. Quantum Electron.
39
, 1555 – 1562 ( 2003 ).
[Crossref]
H. Y.
Ryu
,
M.
Notomi
, and
Y. H.
Lee
, “
High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities
,”
Appl. Phys. Lett.
21
, 4294 – 4296 ( 2003 ).
[Crossref]
Y.
Akahane
,
T.
Asano
,
B. S.
Song
, and
S.
Noda
, “
High-Q photonic nanocavity in a two-dimensional photonic crystal
,”
Nature
425
, 944 – 947 ( 2003 ).
[Crossref]
[PubMed]
A.
Melloni
,
F.
Morichetti
, and
M.
Mertinelli
, “
Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures
,”
Opt. Quantum Electron.
35
, 365 ( 2003 ).
[Crossref]
C. Y.
Chao
and
L. J.
Guo
, “
Biochemical sensors based on polymer microrings with sharp asymmetrical resonance
,”
Appl. Phys. Lett.
83
, 1527 – 1529 ( 2003 ).
[Crossref]
See, for example,
K. J.
Vahala
, “
Optical microcavities
,”
Nature
( London )
424
, 839 – 846 ( 2003 ), and references therein.
[Crossref]
[PubMed]
J. E.
Heebner
and
R. W.
Boyd
, “
‘Slow’ and ‘fast’ light in resonator-coupled waveguides
,”
J. Mod. Opt
49
, 2629 – 2636 ( 2002 ).
[Crossref]
A.
Yariv
, “
Critical coupling and its control in optical waveguide-ring resonator systems
,”
IEEE Photonics Technol. Lett.
14
, 483 – 485 ( 2002 ).
[Crossref]
J.
Vučkovič
et al., “
Optimization of the Q factor in photonic crystal microcavities
,”
IEEE J. Quantum Electron.
38
, 850 – 856 ( 2002 ).
[Crossref]
K.
Srinivasan
and
O.
Painter
, “
Momentum space design of high-Q photonic crystal optical cavities
,”
Opt. Express
10
, 670 – 684 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-15-670 .
[PubMed]
J.
Vuckovic
,
M.
Loncar
,
H.
Mabuchi
, and
A.
Scherer
, “
Design of photonic crystal microcavities for cavity QED
,”
Phys. Rev. E
65
, 016608 ( 2001 ).
[Crossref]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
G.
Mur
, “
Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations
,”
IEEE Tansactions on Electromagnetic Compatibility
EMC-23
, 377 – 382 ( 1981 ).
[Crossref]
B. S.
Song
,
S.
Noda
,
T.
Asano
, and
Y.
Akahane
, “
Ultra-high-Q photonic double-heterostructure nanocavity
,”
Nature Materials
4
, 207 – 210 ( 2005 ).
[Crossref]
Y.
Akahane
,
T.
Asano
,
B. S.
Song
, and
S.
Noda
, “
High-Q photonic nanocavity in a two-dimensional photonic crystal
,”
Nature
425
, 944 – 947 ( 2003 ).
[Crossref]
[PubMed]
B. S.
Song
,
S.
Noda
,
T.
Asano
, and
Y.
Akahane
, “
Ultra-high-Q photonic double-heterostructure nanocavity
,”
Nature Materials
4
, 207 – 210 ( 2005 ).
[Crossref]
Y.
Akahane
,
T.
Asano
,
B. S.
Song
, and
S.
Noda
, “
High-Q photonic nanocavity in a two-dimensional photonic crystal
,”
Nature
425
, 944 – 947 ( 2003 ).
[Crossref]
[PubMed]
J. E.
Heebner
and
R. W.
Boyd
, “
‘Slow’ and ‘fast’ light in resonator-coupled waveguides
,”
J. Mod. Opt
49
, 2629 – 2636 ( 2002 ).
[Crossref]
C. Y.
Chao
and
L. J.
Guo
, “
Biochemical sensors based on polymer microrings with sharp asymmetrical resonance
,”
Appl. Phys. Lett.
83
, 1527 – 1529 ( 2003 ).
[Crossref]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Lasing from a circular Bragg nanocavity with and ultrasmall modal volume
,”
Appl. Phys. Lett.
86
, 251101 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
InGaAsP annular Bragg lasers: Theory, applications and modal properties
,”
IEEE J. Sel. Top. Quantum Electron.
11
, 476 – 484 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Low Threshold Two-Dimensional Annular Bragg Lasers
,”
Opt. Lett.
29
, 2641 – 2643 ( 2004 ).
[Crossref]
[PubMed]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
InGaAsP annular Bragg lasers: Theory, applications and modal properties
,”
IEEE J. Sel. Top. Quantum Electron.
11
, 476 – 484 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Lasing from a circular Bragg nanocavity with and ultrasmall modal volume
,”
Appl. Phys. Lett.
86
, 251101 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Low Threshold Two-Dimensional Annular Bragg Lasers
,”
Opt. Lett.
29
, 2641 – 2643 ( 2004 ).
[Crossref]
[PubMed]
C. Y.
Chao
and
L. J.
Guo
, “
Biochemical sensors based on polymer microrings with sharp asymmetrical resonance
,”
Appl. Phys. Lett.
83
, 1527 – 1529 ( 2003 ).
[Crossref]
J. E.
Heebner
and
R. W.
Boyd
, “
‘Slow’ and ‘fast’ light in resonator-coupled waveguides
,”
J. Mod. Opt
49
, 2629 – 2636 ( 2002 ).
[Crossref]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
H. Y.
Ryu
,
M.
Notomi
,
G. H.
Kim
, and
Y. H.
Lee
, “
High quality-factor whispering-gallery mode in the photonic crystal hexagonal disk cavity
,”
Opt. Express
12
, 1708 – 1719 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1708 .
[Crossref]
[PubMed]
H. Y.
Ryu
,
M.
Notomi
, and
Y. H.
Lee
, “
High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities
,”
Appl. Phys. Lett.
21
, 4294 – 4296 ( 2003 ).
[Crossref]
J.
Vuckovic
,
M.
Loncar
,
H.
Mabuchi
, and
A.
Scherer
, “
Design of photonic crystal microcavities for cavity QED
,”
Phys. Rev. E
65
, 016608 ( 2001 ).
[Crossref]
C. K.
Madsen
and
J. H.
Zhao
,
Optical Filter Design and Analysis: A Signal Processing Approach
, ( Wiley-Interscience, New York , 1999 ).
A.
Melloni
,
R.
Costa
,
P.
Monguzzi
, and
M.
Martinelli
, “
Ring-resonator filters in silicon oxynitride technology for dense wavelength-division multiplexing systems
,”
Opt. Lett.
28
, 1567 – 1569 ( 2003 ).
[Crossref]
[PubMed]
A.
Melloni
,
F.
Morichetti
, and
M.
Mertinelli
, “
Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures
,”
Opt. Quantum Electron.
35
, 365 ( 2003 ).
[Crossref]
A.
Melloni
,
F.
Morichetti
, and
M.
Mertinelli
, “
Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures
,”
Opt. Quantum Electron.
35
, 365 ( 2003 ).
[Crossref]
A.
Melloni
,
F.
Morichetti
, and
M.
Mertinelli
, “
Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures
,”
Opt. Quantum Electron.
35
, 365 ( 2003 ).
[Crossref]
G.
Mur
, “
Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations
,”
IEEE Tansactions on Electromagnetic Compatibility
EMC-23
, 377 – 382 ( 1981 ).
[Crossref]
B. S.
Song
,
S.
Noda
,
T.
Asano
, and
Y.
Akahane
, “
Ultra-high-Q photonic double-heterostructure nanocavity
,”
Nature Materials
4
, 207 – 210 ( 2005 ).
[Crossref]
Y.
Akahane
,
T.
Asano
,
B. S.
Song
, and
S.
Noda
, “
High-Q photonic nanocavity in a two-dimensional photonic crystal
,”
Nature
425
, 944 – 947 ( 2003 ).
[Crossref]
[PubMed]
H. Y.
Ryu
,
M.
Notomi
,
G. H.
Kim
, and
Y. H.
Lee
, “
High quality-factor whispering-gallery mode in the photonic crystal hexagonal disk cavity
,”
Opt. Express
12
, 1708 – 1719 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1708 .
[Crossref]
[PubMed]
H. Y.
Ryu
,
M.
Notomi
, and
Y. H.
Lee
, “
High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities
,”
Appl. Phys. Lett.
21
, 4294 – 4296 ( 2003 ).
[Crossref]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
K.
Srinivasan
and
O.
Painter
, “
Momentum space design of high-Q photonic crystal optical cavities
,”
Opt. Express
10
, 670 – 684 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-15-670 .
[PubMed]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
J.
Scheuer
,
G. T.
Paloczi
,
J. K. S.
Poon
, and
A.
Yariv
, “
Coupled Resonator Optical Waveguides: Towards Slowing and Storing of Light
,”
Opt. Photon. News
16
, 36 – 40 ( 2005 ).
[Crossref]
J.
Scheuer
,
G. T.
Paloczi
,
J. K. S.
Poon
, and
A.
Yariv
, “
Coupled Resonator Optical Waveguides: Towards Slowing and Storing of Light
,”
Opt. Photon. News
16
, 36 – 40 ( 2005 ).
[Crossref]
H. Y.
Ryu
,
M.
Notomi
,
G. H.
Kim
, and
Y. H.
Lee
, “
High quality-factor whispering-gallery mode in the photonic crystal hexagonal disk cavity
,”
Opt. Express
12
, 1708 – 1719 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1708 .
[Crossref]
[PubMed]
H. Y.
Ryu
,
M.
Notomi
, and
Y. H.
Lee
, “
High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities
,”
Appl. Phys. Lett.
21
, 4294 – 4296 ( 2003 ).
[Crossref]
J.
Vuckovic
,
M.
Loncar
,
H.
Mabuchi
, and
A.
Scherer
, “
Design of photonic crystal microcavities for cavity QED
,”
Phys. Rev. E
65
, 016608 ( 2001 ).
[Crossref]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
J.
Scheuer
,
G. T.
Paloczi
,
J. K. S.
Poon
, and
A.
Yariv
, “
Coupled Resonator Optical Waveguides: Towards Slowing and Storing of Light
,”
Opt. Photon. News
16
, 36 – 40 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Lasing from a circular Bragg nanocavity with and ultrasmall modal volume
,”
Appl. Phys. Lett.
86
, 251101 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
InGaAsP annular Bragg lasers: Theory, applications and modal properties
,”
IEEE J. Sel. Top. Quantum Electron.
11
, 476 – 484 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Low Threshold Two-Dimensional Annular Bragg Lasers
,”
Opt. Lett.
29
, 2641 – 2643 ( 2004 ).
[Crossref]
[PubMed]
J.
Scheuer
and
A.
Yariv
, “
Circular photonic crystal resonators
,”
Physical Review E
70
, 036603 ( 2004 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Annular Bragg Defect mode Resonators
,”
J. Opt. Soc. Am. B.
20
, 2285 – 2291 ( 2003 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators
,”
IEEE J. Quantum Electron.
39
, 1555 – 1562 ( 2003 ).
[Crossref]
B. S.
Song
,
S.
Noda
,
T.
Asano
, and
Y.
Akahane
, “
Ultra-high-Q photonic double-heterostructure nanocavity
,”
Nature Materials
4
, 207 – 210 ( 2005 ).
[Crossref]
Y.
Akahane
,
T.
Asano
,
B. S.
Song
, and
S.
Noda
, “
High-Q photonic nanocavity in a two-dimensional photonic crystal
,”
Nature
425
, 944 – 947 ( 2003 ).
[Crossref]
[PubMed]
See, for example,
K. J.
Vahala
, “
Optical microcavities
,”
Nature
( London )
424
, 839 – 846 ( 2003 ), and references therein.
[Crossref]
[PubMed]
J.
Vučkovič
et al., “
Optimization of the Q factor in photonic crystal microcavities
,”
IEEE J. Quantum Electron.
38
, 850 – 856 ( 2002 ).
[Crossref]
J.
Vuckovic
,
M.
Loncar
,
H.
Mabuchi
, and
A.
Scherer
, “
Design of photonic crystal microcavities for cavity QED
,”
Phys. Rev. E
65
, 016608 ( 2001 ).
[Crossref]
G. N.
Watson
,
Theory of Bessel Functions
, 2nd ed. ( London, U.K. Cambridge Univ. Press , 1952 ).
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
InGaAsP annular Bragg lasers: Theory, applications and modal properties
,”
IEEE J. Sel. Top. Quantum Electron.
11
, 476 – 484 ( 2005 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Lasing from a circular Bragg nanocavity with and ultrasmall modal volume
,”
Appl. Phys. Lett.
86
, 251101 ( 2005 ).
[Crossref]
J.
Scheuer
,
G. T.
Paloczi
,
J. K. S.
Poon
, and
A.
Yariv
, “
Coupled Resonator Optical Waveguides: Towards Slowing and Storing of Light
,”
Opt. Photon. News
16
, 36 – 40 ( 2005 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Circular photonic crystal resonators
,”
Physical Review E
70
, 036603 ( 2004 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Low Threshold Two-Dimensional Annular Bragg Lasers
,”
Opt. Lett.
29
, 2641 – 2643 ( 2004 ).
[Crossref]
[PubMed]
J.
Scheuer
and
A.
Yariv
, “
Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators
,”
IEEE J. Quantum Electron.
39
, 1555 – 1562 ( 2003 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Annular Bragg Defect mode Resonators
,”
J. Opt. Soc. Am. B.
20
, 2285 – 2291 ( 2003 ).
[Crossref]
A.
Yariv
, “
Critical coupling and its control in optical waveguide-ring resonator systems
,”
IEEE Photonics Technol. Lett.
14
, 483 – 485 ( 2002 ).
[Crossref]
O.
Painter
,
R. K.
Lee
,
A.
Scherer
,
A.
Yariv
,
J. D.
O’Brien
,
P. D.
Dapkus
, and
I.
Kim
, “
Two-dimensional photonic band-gap defect mode laser
,”
Science
284
, 1819 – 1821 ( 1999 ).
[Crossref]
[PubMed]
C. K.
Madsen
and
J. H.
Zhao
,
Optical Filter Design and Analysis: A Signal Processing Approach
, ( Wiley-Interscience, New York , 1999 ).
C. Y.
Chao
and
L. J.
Guo
, “
Biochemical sensors based on polymer microrings with sharp asymmetrical resonance
,”
Appl. Phys. Lett.
83
, 1527 – 1529 ( 2003 ).
[Crossref]
H. Y.
Ryu
,
M.
Notomi
, and
Y. H.
Lee
, “
High-quality-factor and small-mode-volume hexapole modes in photonic-crystal-slab nanocavities
,”
Appl. Phys. Lett.
21
, 4294 – 4296 ( 2003 ).
[Crossref]
J.
Scheuer
,
W. M. J.
Green
,
G.
DeRose
, and
A.
Yariv
, “
Lasing from a circular Bragg nanocavity with and ultrasmall modal volume
,”
Appl. Phys. Lett.
86
, 251101 ( 2005 ).
[Crossref]
J.
Scheuer
and
A.
Yariv
, “
Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators
,”
IEEE J. Quantum Electron.
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