S. K.
Mondal
and
B. J. H.
Stadler
, “
Novel designs for integrating YIG/air photonic crystal slab polarizers with waveguide Faraday rotators
,”
IEEE Photonics Technol. Lett.
17
, 127 – 129 ( 2005 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
A. A.
Jalali
and
A. T.
Friberg
, “
Faraday rotation in two-dimensional magneto-optic photonic crystal
,”
Opt. Commun.
253
, 145 – 150 ( 2005 ).
[Crossref]
N.
Kono
and
M.
Koshiba
, “
General finite-element modeling of 2-D magnetophotonic crystal waveguides
,”
IEEE Photonics Technol. Lett.
17
, 1432 – 1434 ( 2005 ).
[Crossref]
Z.
Wang
and
S.
Fan
, “
Optical circulators in two-dimensional magneto-optical photonic crystals
,”
Opt. Lett.
1989 – 1991 ( 2005 ).
[Crossref]
[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
, 033903 ( 2005 ).
[Crossref]
[PubMed]
D.
Gerace
and
L. C.
Andreani
, “
Low-loss guided modes in photonic crystal waveguides
,”
Opt. Express.
13
, 4939 – 4951 ( 2005 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-13-4939.
[Crossref]
[PubMed]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
M.
Skorobogatiy
,
G.
Bégin
, and
A.
Talneau
, “
Statistical analysis of geometrical imperfections from the images of 2D photonic crystals
,”
Opt. Express
13
, 2487 – 2502 ( 2005 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-7-2487.
[Crossref]
[PubMed]
A. A.
Jalali
and
A. T.
Friberg
, “
Faraday rotation in a two-dimensional photonic crystal with a magneto-optic defect
,”
Opt. Lett.
30
, 1213 – 1215 ( 2005 ).
[Crossref]
[PubMed]
W. J.
Kim
and
J. D.
O’Brien
, “
Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method
,”
J. Opt. Soc. Am. B
21
, 289 – 295 ( 2004 ).
[Crossref]
D.
Gerace
and
L. C.
Andreani
, “
Disorder-induced losses in photonic crystal waveguides with line defects
,”
Opt. Lett.
29
, 1897 – 1899 ( 2004 ).
[Crossref]
[PubMed]
N.
Kono
and
Y.
Tsuji
, “
A novel finite-element method for nonreciprocal magneto-photonic crystal waveguides
,”
J. Lightwave Technol.
22
, 1741 – 1747 ( 2004 ).
[Crossref]
Y.
Tanaka
,
T
Asano
,
R.
Hatsuta
, and
S.
Noda
, “
Analysis of a line-defect waveguide on a silicon-on-insulator two-dimensional photonic-crystal slab
,”
J. Lightwave Technol.
22
, 2787 – 2792 ( 2004 ).
[Crossref]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
Y.
Ikezawa
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Preparation of two-dimensional magneto-photonic crystals of bismuth substitute yttrium iron garnet materials
,”
J. Magn. Magn. Mater.
272–276
, 1690 – 1691 ,( 2004 ).
[Crossref]
A. K.
Zvezdin
and
V. I.
Belotelov
, “
Magnetooptical properties of two dimensional photonic crystals
,”
Eur. Phys. J. B
37
, 479 – 487 ( 2004 ).
[Crossref]
O
Schenk
and
K.
Gärtner
, “
Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO
,”
J. Fut. Gen. Comput. Syst.
20
, 475 – 487 ( 2004 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
L. C.
Andreani
and
M.
Agio
, “
Intrinsic diffraction losses in photonic crystal waveguides with line defects
,”
Appl. Phys. Lett.
82
, 2011 – 2013 ( 2003 ).
[Crossref]
W.
Bogaerts
,
P.
Bienstman
, and
R.
Baets
, “
Scattering at sidewall roughness in photonic crystal slabs
,”
Opt. Lett.
28
, 689 – 691 ( 2003 ).
[Crossref]
[PubMed]
C.
Kim
,
W. J.
Kim
,
A.
Stapleton
,
J. R.
Cao
,
J. D.
O’Brien
, and
P. D.
Dapkus
, “
Quality factors in single-defect photonic-crystal lasers with asymmetric cladding layers
,”
J. Opt. Soc. Am. B
19
, 1777 – 1781 ( 2002 ).
[Crossref]
T.
SØndergaard
,
J.
Arentoft
, and
M.
Kristensen
, “
Theoretical analysis of finite-height semiconductor-on-insulator-based planar photonic crystal waveguides
,”
J. Lightwave Technol.
20
, 1619 – 1625 ( 2002 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[Crossref]
M.
Levy
, “
The on-chip integration of magnetooptic waveguide isolators
,”
IEEE J. Sel. Top. Quantum Electron.
8
, 1300 – 1306 ( 2001 ).
A.
Figotin
and
I.
Vitebsky
, “
Nonreciprocal magnetic photonic crystals
,”
Phys. Rev. E
63
, 066609 ( 2001 ).
[Crossref]
T.
Ochiai
and
K.
Sakoda
, “
Dispersion relation and optical transmittance of a hexagonal photonic crystal slab
,”
Phys. Rev. B
63
, 125107 ( 2001 ).
[Crossref]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
M. J.
Steel
,
M.
Levy
, and
R. M.
Osgood
, “
Photonic bandgaps with defects and the enhancement of Faraday rotation
,”
J. Lightwave Technol.
18
, 1297 – 1308 ( 2000 ).
[Crossref]
M.
Loncar
,
T.
Doll
,
J.
Vuckovic
, and
A.
Scherer
, “
Design and fabrication of silicon photonic crystal optical waveguides
,”
J. Lightwave Technol.
18
, 1402 – 1411 ( 2000 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
A.
Sakaguchi
and
N.
Sugimoto
, “
Transmisson properties of multilayer films composed of magneto-optical and dielectric materials
,”
J. Lightwave Technol.
17
, 1087 – 1092 ( 1999 ).
[Crossref]
W.
Zaets
and
K.
Ando
, “
Optical waveguide isolator based on nonreciprocal loss/gain of amplifier covered by ferromagnetic layer
,”
IEEE Photonics Technol. Lett.
11
, 1012 – 1014 ( 1999 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
H.
DÖtch
, and
P.
Hertel
, “
Finite-element analysis of nonreciprocal phase shift for TE modes in magnetooptic rib waveguides with a compensation wall
,”
J. Quantum Electron.
35
, 250 – 253 ( 1999 ).
[Crossref]
M.
Inoue
,
K.
Arai
,
T.
Fujii
, and
M.
Abe
, “
One-dimensional magnetophotonic crystals
,”
J. Appl. Phys.
85
, 5768 – 5770 ( 1999 ).
[Crossref]
F. L.
Teixeira
and
W. C.
Chew
, “
General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media
,”
IEEE Microwave Guided Wave Lett.
8
, 223 – 225 ( 1998 ).
[Crossref]
G.
Karypis
and
V.
Kumar
, “
A fast and high quality multilevel scheme for partitioning irregular graphs
,”
SIAM J. Scient. Comput.
1
, 359 – 392 ( 1998 ).
[Crossref]
J. S.
Wang
and
N.
Ida
, “
Curvilinear and higher order ’edge’ finite elements in electromagnetic field computation
,”
IEEE Trans. Magn.
29
, 1491 – 1494 ( 1993 ).
[Crossref]
J. F.
Lee
,
D. K.
Sun
, and
Z. J.
Cendes
, “
Tangential vector finite elements for electromagnetic field
,”
IEEE Trans. Magn.
27
, 4032 – 4035 ( 1991 ).
[Crossref]
J. P.
Krumme
and
P.
Hansen
, “
A new type of magnetic domain wall in nearly compensated Ga-substituted YIG
,”
Appl. Phys. Lett.
22
, 312 – 314 ( 1973 ).
[Crossref]
M.
Inoue
,
K.
Arai
,
T.
Fujii
, and
M.
Abe
, “
One-dimensional magnetophotonic crystals
,”
J. Appl. Phys.
85
, 5768 – 5770 ( 1999 ).
[Crossref]
L. C.
Andreani
and
M.
Agio
, “
Intrinsic diffraction losses in photonic crystal waveguides with line defects
,”
Appl. Phys. Lett.
82
, 2011 – 2013 ( 2003 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
W.
Zaets
and
K.
Ando
, “
Optical waveguide isolator based on nonreciprocal loss/gain of amplifier covered by ferromagnetic layer
,”
IEEE Photonics Technol. Lett.
11
, 1012 – 1014 ( 1999 ).
[Crossref]
D.
Gerace
and
L. C.
Andreani
, “
Low-loss guided modes in photonic crystal waveguides
,”
Opt. Express.
13
, 4939 – 4951 ( 2005 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-13-4939.
[Crossref]
[PubMed]
D.
Gerace
and
L. C.
Andreani
, “
Disorder-induced losses in photonic crystal waveguides with line defects
,”
Opt. Lett.
29
, 1897 – 1899 ( 2004 ).
[Crossref]
[PubMed]
L. C.
Andreani
and
M.
Agio
, “
Intrinsic diffraction losses in photonic crystal waveguides with line defects
,”
Appl. Phys. Lett.
82
, 2011 – 2013 ( 2003 ).
[Crossref]
M.
Inoue
,
K.
Arai
,
T.
Fujii
, and
M.
Abe
, “
One-dimensional magnetophotonic crystals
,”
J. Appl. Phys.
85
, 5768 – 5770 ( 1999 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
H.
DÖtch
, and
P.
Hertel
, “
Finite-element analysis of nonreciprocal phase shift for TE modes in magnetooptic rib waveguides with a compensation wall
,”
J. Quantum Electron.
35
, 250 – 253 ( 1999 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
A. K.
Zvezdin
and
V. I.
Belotelov
, “
Magnetooptical properties of two dimensional photonic crystals
,”
Eur. Phys. J. B
37
, 479 – 487 ( 2004 ).
[Crossref]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
W.
Bogaerts
,
P.
Bienstman
, and
R.
Baets
, “
Scattering at sidewall roughness in photonic crystal slabs
,”
Opt. Lett.
28
, 689 – 691 ( 2003 ).
[Crossref]
[PubMed]
J. F.
Lee
,
D. K.
Sun
, and
Z. J.
Cendes
, “
Tangential vector finite elements for electromagnetic field
,”
IEEE Trans. Magn.
27
, 4032 – 4035 ( 1991 ).
[Crossref]
F. L.
Teixeira
and
W. C.
Chew
, “
General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media
,”
IEEE Microwave Guided Wave Lett.
8
, 223 – 225 ( 1998 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
H.
DÖtch
, and
P.
Hertel
, “
Finite-element analysis of nonreciprocal phase shift for TE modes in magnetooptic rib waveguides with a compensation wall
,”
J. Quantum Electron.
35
, 250 – 253 ( 1999 ).
[Crossref]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
Z.
Wang
and
S.
Fan
, “
Optical circulators in two-dimensional magneto-optical photonic crystals
,”
Opt. Lett.
1989 – 1991 ( 2005 ).
[Crossref]
[PubMed]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
A.
Figotin
and
I.
Vitebsky
, “
Nonreciprocal magnetic photonic crystals
,”
Phys. Rev. E
63
, 066609 ( 2001 ).
[Crossref]
M.
Inoue
,
K.
Arai
,
T.
Fujii
, and
M.
Abe
, “
One-dimensional magnetophotonic crystals
,”
J. Appl. Phys.
85
, 5768 – 5770 ( 1999 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
O
Schenk
and
K.
Gärtner
, “
Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO
,”
J. Fut. Gen. Comput. Syst.
20
, 475 – 487 ( 2004 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
J. P.
Krumme
and
P.
Hansen
, “
A new type of magnetic domain wall in nearly compensated Ga-substituted YIG
,”
Appl. Phys. Lett.
22
, 312 – 314 ( 1973 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
H.
DÖtch
, and
P.
Hertel
, “
Finite-element analysis of nonreciprocal phase shift for TE modes in magnetooptic rib waveguides with a compensation wall
,”
J. Quantum Electron.
35
, 250 – 253 ( 1999 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[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
, 033903 ( 2005 ).
[Crossref]
[PubMed]
J. S.
Wang
and
N.
Ida
, “
Curvilinear and higher order ’edge’ finite elements in electromagnetic field computation
,”
IEEE Trans. Magn.
29
, 1491 – 1494 ( 1993 ).
[Crossref]
Y.
Ikezawa
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Preparation of two-dimensional magneto-photonic crystals of bismuth substitute yttrium iron garnet materials
,”
J. Magn. Magn. Mater.
272–276
, 1690 – 1691 ,( 2004 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
Y.
Ikezawa
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Preparation of two-dimensional magneto-photonic crystals of bismuth substitute yttrium iron garnet materials
,”
J. Magn. Magn. Mater.
272–276
, 1690 – 1691 ,( 2004 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
M.
Inoue
,
K.
Arai
,
T.
Fujii
, and
M.
Abe
, “
One-dimensional magnetophotonic crystals
,”
J. Appl. Phys.
85
, 5768 – 5770 ( 1999 ).
[Crossref]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
G.
Karypis
and
V.
Kumar
, “
A fast and high quality multilevel scheme for partitioning irregular graphs
,”
SIAM J. Scient. Comput.
1
, 359 – 392 ( 1998 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
W. J.
Kim
and
J. D.
O’Brien
, “
Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method
,”
J. Opt. Soc. Am. B
21
, 289 – 295 ( 2004 ).
[Crossref]
C.
Kim
,
W. J.
Kim
,
A.
Stapleton
,
J. R.
Cao
,
J. D.
O’Brien
, and
P. D.
Dapkus
, “
Quality factors in single-defect photonic-crystal lasers with asymmetric cladding layers
,”
J. Opt. Soc. Am. B
19
, 1777 – 1781 ( 2002 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
N.
Kono
and
M.
Koshiba
, “
General finite-element modeling of 2-D magnetophotonic crystal waveguides
,”
IEEE Photonics Technol. Lett.
17
, 1432 – 1434 ( 2005 ).
[Crossref]
J. P.
Krumme
and
P.
Hansen
, “
A new type of magnetic domain wall in nearly compensated Ga-substituted YIG
,”
Appl. Phys. Lett.
22
, 312 – 314 ( 1973 ).
[Crossref]
G.
Karypis
and
V.
Kumar
, “
A fast and high quality multilevel scheme for partitioning irregular graphs
,”
SIAM J. Scient. Comput.
1
, 359 – 392 ( 1998 ).
[Crossref]
J. F.
Lee
,
D. K.
Sun
, and
Z. J.
Cendes
, “
Tangential vector finite elements for electromagnetic field
,”
IEEE Trans. Magn.
27
, 4032 – 4035 ( 1991 ).
[Crossref]
M.
Levy
, “
The on-chip integration of magnetooptic waveguide isolators
,”
IEEE J. Sel. Top. Quantum Electron.
8
, 1300 – 1306 ( 2001 ).
M. J.
Steel
,
M.
Levy
, and
R. M.
Osgood
, “
Photonic bandgaps with defects and the enhancement of Faraday rotation
,”
J. Lightwave Technol.
18
, 1297 – 1308 ( 2000 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
H.
DÖtch
, and
P.
Hertel
, “
Finite-element analysis of nonreciprocal phase shift for TE modes in magnetooptic rib waveguides with a compensation wall
,”
J. Quantum Electron.
35
, 250 – 253 ( 1999 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
S. K.
Mondal
and
B. J. H.
Stadler
, “
Novel designs for integrating YIG/air photonic crystal slab polarizers with waveguide Faraday rotators
,”
IEEE Photonics Technol. Lett.
17
, 127 – 129 ( 2005 ).
[Crossref]
M.
Takenaka
and
Y.
Nakano
, “
Proposal of a Novel Semiconductor Optical Waveguide Isolator
,” in
Proceedings of IEEE Eleventh International Conference on Indium Phosphide and Related Materials
( Institute of Electrical and Electronics Engineers, Davos, Switzerland , 1999 ), pp. 289 – 292 .
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
Y.
Ikezawa
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Preparation of two-dimensional magneto-photonic crystals of bismuth substitute yttrium iron garnet materials
,”
J. Magn. Magn. Mater.
272–276
, 1690 – 1691 ,( 2004 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[Crossref]
W. J.
Kim
and
J. D.
O’Brien
, “
Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method
,”
J. Opt. Soc. Am. B
21
, 289 – 295 ( 2004 ).
[Crossref]
C.
Kim
,
W. J.
Kim
,
A.
Stapleton
,
J. R.
Cao
,
J. D.
O’Brien
, and
P. D.
Dapkus
, “
Quality factors in single-defect photonic-crystal lasers with asymmetric cladding layers
,”
J. Opt. Soc. Am. B
19
, 1777 – 1781 ( 2002 ).
[Crossref]
T.
Ochiai
and
K.
Sakoda
, “
Dispersion relation and optical transmittance of a hexagonal photonic crystal slab
,”
Phys. Rev. B
63
, 125107 ( 2001 ).
[Crossref]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
M. J.
Steel
,
M.
Levy
, and
R. M.
Osgood
, “
Photonic bandgaps with defects and the enhancement of Faraday rotation
,”
J. Lightwave Technol.
18
, 1297 – 1308 ( 2000 ).
[Crossref]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
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
, 033903 ( 2005 ).
[Crossref]
[PubMed]
T.
Ochiai
and
K.
Sakoda
, “
Dispersion relation and optical transmittance of a hexagonal photonic crystal slab
,”
Phys. Rev. B
63
, 125107 ( 2001 ).
[Crossref]
O
Schenk
and
K.
Gärtner
, “
Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO
,”
J. Fut. Gen. Comput. Syst.
20
, 475 – 487 ( 2004 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[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
, 033903 ( 2005 ).
[Crossref]
[PubMed]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
S. K.
Mondal
and
B. J. H.
Stadler
, “
Novel designs for integrating YIG/air photonic crystal slab polarizers with waveguide Faraday rotators
,”
IEEE Photonics Technol. Lett.
17
, 127 – 129 ( 2005 ).
[Crossref]
J. F.
Lee
,
D. K.
Sun
, and
Z. J.
Cendes
, “
Tangential vector finite elements for electromagnetic field
,”
IEEE Trans. Magn.
27
, 4032 – 4035 ( 1991 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
M.
Takenaka
and
Y.
Nakano
, “
Proposal of a Novel Semiconductor Optical Waveguide Isolator
,” in
Proceedings of IEEE Eleventh International Conference on Indium Phosphide and Related Materials
( Institute of Electrical and Electronics Engineers, Davos, Switzerland , 1999 ), pp. 289 – 292 .
F. L.
Teixeira
and
W. C.
Chew
, “
General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media
,”
IEEE Microwave Guided Wave Lett.
8
, 223 – 225 ( 1998 ).
[Crossref]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
Y.
Ikezawa
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Preparation of two-dimensional magneto-photonic crystals of bismuth substitute yttrium iron garnet materials
,”
J. Magn. Magn. Mater.
272–276
, 1690 – 1691 ,( 2004 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
A.
Figotin
and
I.
Vitebsky
, “
Nonreciprocal magnetic photonic crystals
,”
Phys. Rev. E
63
, 066609 ( 2001 ).
[Crossref]
J. S.
Wang
and
N.
Ida
, “
Curvilinear and higher order ’edge’ finite elements in electromagnetic field computation
,”
IEEE Trans. Magn.
29
, 1491 – 1494 ( 1993 ).
[Crossref]
Z.
Wang
and
S.
Fan
, “
Optical circulators in two-dimensional magneto-optical photonic crystals
,”
Opt. Lett.
1989 – 1991 ( 2005 ).
[Crossref]
[PubMed]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[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
, 033903 ( 2005 ).
[Crossref]
[PubMed]
W.
Zaets
and
K.
Ando
, “
Optical waveguide isolator based on nonreciprocal loss/gain of amplifier covered by ferromagnetic layer
,”
IEEE Photonics Technol. Lett.
11
, 1012 – 1014 ( 1999 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
A. K.
Zvezdin
and
V. I.
Belotelov
, “
Magnetooptical properties of two dimensional photonic crystals
,”
Eur. Phys. J. B
37
, 479 – 487 ( 2004 ).
[Crossref]
S. G.
Johnson
,
M. L.
Povinelli
,
M.
Soljacic
,
A.
Karalis
,
S.
Jacobs
, and
J. D.
Joannopoulos
, “
Roughness losses and volume-current methods in photonic-crystal waveguides
,”
Appl. Phys. B
81
, 283 – 293 ( 2005 ).
[Crossref]
J. P.
Krumme
and
P.
Hansen
, “
A new type of magnetic domain wall in nearly compensated Ga-substituted YIG
,”
Appl. Phys. Lett.
22
, 312 – 314 ( 1973 ).
[Crossref]
L.
Wilkens
,
D.
Trager
,
H.
DÖtsch
,
A. F.
opkov
, and
A. M.
Alekseev
, “
Nonreciprocal phase shift of TE modes induced by compensation wall in a magneto-optic rib waveguide
,”
Appl. Phys. Lett.
79
, 4292 – 4294 ( 2001 ).
[Crossref]
L. C.
Andreani
and
M.
Agio
, “
Intrinsic diffraction losses in photonic crystal waveguides with line defects
,”
Appl. Phys. Lett.
82
, 2011 – 2013 ( 2003 ).
[Crossref]
J.
Fujita
,
M.
Levy
,
R. M.
Osgood
,
L.
Wilkens
, and
H.
DÖtsch
, “
Waveguide optical isolator based on Mach-Zehnder interferometer
,”
Appl. Phys. Lett.
76
, 2158 – 2160 ( 2000 ).
[Crossref]
A. K.
Zvezdin
and
V. I.
Belotelov
, “
Magnetooptical properties of two dimensional photonic crystals
,”
Eur. Phys. J. B
37
, 479 – 487 ( 2004 ).
[Crossref]
M.
Notomi
,
A.
Shinya
,
K.
Yamada
,
J.
Tahashi
,
C.
Takahashi
, and
I.
Yokohama
, “
Structural tuning of guideing modes of line-defect waveguides of silicon-on insulator photonic crystal slabs
,”
IEEE J. Quantum Electron.
38
, 736 – 742 ( 2002 ).
[Crossref]
M.
Levy
, “
The on-chip integration of magnetooptic waveguide isolators
,”
IEEE J. Sel. Top. Quantum Electron.
8
, 1300 – 1306 ( 2001 ).
F. L.
Teixeira
and
W. C.
Chew
, “
General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media
,”
IEEE Microwave Guided Wave Lett.
8
, 223 – 225 ( 1998 ).
[Crossref]
W.
Zaets
and
K.
Ando
, “
Optical waveguide isolator based on nonreciprocal loss/gain of amplifier covered by ferromagnetic layer
,”
IEEE Photonics Technol. Lett.
11
, 1012 – 1014 ( 1999 ).
[Crossref]
S. K.
Mondal
and
B. J. H.
Stadler
, “
Novel designs for integrating YIG/air photonic crystal slab polarizers with waveguide Faraday rotators
,”
IEEE Photonics Technol. Lett.
17
, 127 – 129 ( 2005 ).
[Crossref]
N.
Kono
and
M.
Koshiba
, “
General finite-element modeling of 2-D magnetophotonic crystal waveguides
,”
IEEE Photonics Technol. Lett.
17
, 1432 – 1434 ( 2005 ).
[Crossref]
J. S.
Wang
and
N.
Ida
, “
Curvilinear and higher order ’edge’ finite elements in electromagnetic field computation
,”
IEEE Trans. Magn.
29
, 1491 – 1494 ( 1993 ).
[Crossref]
J. F.
Lee
,
D. K.
Sun
, and
Z. J.
Cendes
, “
Tangential vector finite elements for electromagnetic field
,”
IEEE Trans. Magn.
27
, 4032 – 4035 ( 1991 ).
[Crossref]
M.
Inoue
,
K.
Arai
,
T.
Fujii
, and
M.
Abe
, “
One-dimensional magnetophotonic crystals
,”
J. Appl. Phys.
85
, 5768 – 5770 ( 1999 ).
[Crossref]
O
Schenk
and
K.
Gärtner
, “
Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO
,”
J. Fut. Gen. Comput. Syst.
20
, 475 – 487 ( 2004 ).
[Crossref]
A.
Sakaguchi
and
N.
Sugimoto
, “
Transmisson properties of multilayer films composed of magneto-optical and dielectric materials
,”
J. Lightwave Technol.
17
, 1087 – 1092 ( 1999 ).
[Crossref]
M. J.
Steel
,
M.
Levy
, and
R. M.
Osgood
, “
Photonic bandgaps with defects and the enhancement of Faraday rotation
,”
J. Lightwave Technol.
18
, 1297 – 1308 ( 2000 ).
[Crossref]
T.
SØndergaard
,
J.
Arentoft
, and
M.
Kristensen
, “
Theoretical analysis of finite-height semiconductor-on-insulator-based planar photonic crystal waveguides
,”
J. Lightwave Technol.
20
, 1619 – 1625 ( 2002 ).
[Crossref]
M.
Loncar
,
T.
Doll
,
J.
Vuckovic
, and
A.
Scherer
, “
Design and fabrication of silicon photonic crystal optical waveguides
,”
J. Lightwave Technol.
18
, 1402 – 1411 ( 2000 ).
[Crossref]
N.
Kono
and
Y.
Tsuji
, “
A novel finite-element method for nonreciprocal magneto-photonic crystal waveguides
,”
J. Lightwave Technol.
22
, 1741 – 1747 ( 2004 ).
[Crossref]
Y.
Tanaka
,
T
Asano
,
R.
Hatsuta
, and
S.
Noda
, “
Analysis of a line-defect waveguide on a silicon-on-insulator two-dimensional photonic-crystal slab
,”
J. Lightwave Technol.
22
, 2787 – 2792 ( 2004 ).
[Crossref]
Y.
Ikezawa
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Preparation of two-dimensional magneto-photonic crystals of bismuth substitute yttrium iron garnet materials
,”
J. Magn. Magn. Mater.
272–276
, 1690 – 1691 ,( 2004 ).
[Crossref]
A. A.
Fedyanin
,
O. A.
Aktsipetrov
,
D.
Kobayashi
,
K.
Nishimura
,
H.
Uchida
, and
M.
Inoue
, “
Enhanced Faraday and nonlinear magneto-optical Kerr effects in magnetophotonic crystals
,”
J. Magn. Magn. Mater.
282
, 256 – 269 ( 2004 ).
[Crossref]
C.
Kim
,
W. J.
Kim
,
A.
Stapleton
,
J. R.
Cao
,
J. D.
O’Brien
, and
P. D.
Dapkus
, “
Quality factors in single-defect photonic-crystal lasers with asymmetric cladding layers
,”
J. Opt. Soc. Am. B
19
, 1777 – 1781 ( 2002 ).
[Crossref]
W. J.
Kim
and
J. D.
O’Brien
, “
Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method
,”
J. Opt. Soc. Am. B
21
, 289 – 295 ( 2004 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
H.
DÖtch
, and
P.
Hertel
, “
Finite-element analysis of nonreciprocal phase shift for TE modes in magnetooptic rib waveguides with a compensation wall
,”
J. Quantum Electron.
35
, 250 – 253 ( 1999 ).
[Crossref]
H.
Kato
,
T.
Matsushita
,
A.
Takayama
,
M.
Egawa
,
K.
Nishimura
, and
M.
Inoue
, “
Effect of optical losses on optical and magneto-optical properties of one-dimensional magnetophotonic crystals for use in optical isolator devices
,”
Opt. Commun.
219
, 271 – 276 ( 2003 ).
[Crossref]
A. A.
Jalali
and
A. T.
Friberg
, “
Faraday rotation in two-dimensional magneto-optic photonic crystal
,”
Opt. Commun.
253
, 145 – 150 ( 2005 ).
[Crossref]
N.
Bahlmann
,
M.
Lohmeyer
,
O.
Zhuromskyy
,
H.
DÖtsch
, and
P.
Hertel
, “
Nonreciprocal coupled waveguides for integrated optical isolators and circulators for TM-modes
,”
Opt. Commun.
161
, 330 – 337 ( 1999 ).
[Crossref]
D.
Gerace
and
L. C.
Andreani
, “
Low-loss guided modes in photonic crystal waveguides
,”
Opt. Express.
13
, 4939 – 4951 ( 2005 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-13-4939.
[Crossref]
[PubMed]
Z.
Wang
and
S.
Fan
, “
Optical circulators in two-dimensional magneto-optical photonic crystals
,”
Opt. Lett.
1989 – 1991 ( 2005 ).
[Crossref]
[PubMed]
A. A.
Jalali
and
A. T.
Friberg
, “
Faraday rotation in a two-dimensional photonic crystal with a magneto-optic defect
,”
Opt. Lett.
30
, 1213 – 1215 ( 2005 ).
[Crossref]
[PubMed]
W.
Bogaerts
,
P.
Bienstman
, and
R.
Baets
, “
Scattering at sidewall roughness in photonic crystal slabs
,”
Opt. Lett.
28
, 689 – 691 ( 2003 ).
[Crossref]
[PubMed]
D.
Gerace
and
L. C.
Andreani
, “
Disorder-induced losses in photonic crystal waveguides with line defects
,”
Opt. Lett.
29
, 1897 – 1899 ( 2004 ).
[Crossref]
[PubMed]
K. C.
Huang
,
E.
Lidorikis
,
X.
Jiang
,
J. D.
Joannopoulos
,
K. A.
Nelson
,
P.
Bienstman
, and
S.
Fan
, “
Nature of lossy Bloch states in polaritonic photonic crystals
,”
Phys. Rev. B
69
, 195111 ( 2004 ).
[Crossref]
A. B.
Khanikaev
,
A. V.
Baryshev
,
M.
Inoue
,
A. B.
Granovsky
, and
A. P.
Vinogradov
, “
Two-dimensional magnetophotonic crystal: Exactly solvable model
,”
Phys. Rev. B
72
, 035123 ( 2005 ).
[Crossref]
T.
Ochiai
and
K.
Sakoda
, “
Dispersion relation and optical transmittance of a hexagonal photonic crystal slab
,”
Phys. Rev. B
63
, 125107 ( 2001 ).
[Crossref]
A.
Figotin
and
I.
Vitebsky
, “
Nonreciprocal magnetic photonic crystals
,”
Phys. Rev. E
63
, 066609 ( 2001 ).
[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
, 033903 ( 2005 ).
[Crossref]
[PubMed]
G.
Karypis
and
V.
Kumar
, “
A fast and high quality multilevel scheme for partitioning irregular graphs
,”
SIAM J. Scient. Comput.
1
, 359 – 392 ( 1998 ).
[Crossref]
M.
Takenaka
and
Y.
Nakano
, “
Proposal of a Novel Semiconductor Optical Waveguide Isolator
,” in
Proceedings of IEEE Eleventh International Conference on Indium Phosphide and Related Materials
( Institute of Electrical and Electronics Engineers, Davos, Switzerland , 1999 ), pp. 289 – 292 .