H.P.
Uranus
and
H.J.W.M.
Hoekstra
, “
Modeling of microstructured waveguides using a finite-element-based vecto-rial mode solver with transparent boundary conditions
,”
Opt. Express
12
, 2795 – 2809 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2795 .
[Crossref]
[PubMed]
Shangping
Guo
,
Feng
Wu
,
Sacharia
Albin
,
Hsiang
Tai
, and
Robert S.
Rogowski
, “
Loss and dispersion analysis of microstructured fibers by finite-difference method
,”
Opt. Express
12
, 3341 – 3352 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341 .
[Crossref]
[PubMed]
C.
Kerbage
and
B. J.
Eggleton
, ”
Numerical analysis and experimental design of tunable birefringence in microstruc-tured optical fiber
,”
Opt. Express
10
, 246 – 255 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-5-246 .
[PubMed]
Z.
Zhu
and
T.G.
Brown
, “
Full-vectorial finite-difference analysis of microstructured optical fibers
,”
Opt. Express
10
, 853 – 864 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853 .
[PubMed]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
D.
Ferrarini
,
L.
Vincetti
,
M.
Zoboli
,
A.
Cucinotta
, and
S.
Selleri
, “
Leakage properties of photonic crystal fibers
,”
Opt. Express
10
, 1314 – 1319 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-23-1314 .
[PubMed]
T.P.
White
,
R.C.
McPhedran
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Confinement losses in microstructured optical fibers
,”
Opt. Lett.
26
, 1660 – 1662 ( 2001 ).
[Crossref]
H.
Rogier
and
D.
De Zutter
, “
Berenger and Leaky Modes in Microstrip Substrates Terminated by a Perfectly Matched Layer
,”
IEEE Trans. Microwave Theory Tech.
49
, 712 – 715 ( 2001 ).
[Crossref]
N.
Kaneda
,
B.
Houshmand
, and
T.
Itoh
, “
FDTD analysis of dielectric resonators with curved surfaces
,”
IEEE Trans. Microwave Theory Tech.
45
, 1645 – 1649 ( 1997 ).
[Crossref]
J.P.
Berenger
, “
Perfectly matched layer for the FDTD solution of wave-structure. Interaction problems
,”
IEEE Trans. Microwave Theory Tech.
44
, 110 – 117 ( 1996 ).
M.
Mrozowski
,
M.
Okoniewski
, and
M.A.
Stuchly
, “
A hybrid PEE-FDTD method for efficient field modeling in cyllindrical coordinates
,”
Electronics Letters
32
, 194 – 195 ( 1996 ).
[Crossref]
M.
Mrozowski
, “
A Hybrid PEE-FDTD Algorithm for Accelerated Time Domain Analysis of Electromagnetic Waves
,”
IEEE Microwave and Guided Wave Letters
4
, 323 – 325 ( 1994 ).
[Crossref]
J.P.
Berenger
, “
A perfectly matched layer for the absorption of electromagnetic waves
,”
J. Comput. Phys.
114
, 185 – 200 ( 1994 ).
[Crossref]
A.
Bayliss
,
M.
Gunzburger
, and
E.
Turkel
, “
Boundary conditions for the numerical solution of elliptic equations in exterior regions
,”
SIAM J. Appl. Math.
42
, 430 – 451 ( 1982 ).
[Crossref]
T.
Weiland
, “
Verlustbehaftete Wellenleiter mit beliebiger. Randkontur und Materialverteilung
,”
AEU
33
, 170 – 174 ( 1979 ).
A.
Bayliss
,
M.
Gunzburger
, and
E.
Turkel
, “
Boundary conditions for the numerical solution of elliptic equations in exterior regions
,”
SIAM J. Appl. Math.
42
, 430 – 451 ( 1982 ).
[Crossref]
J.P.
Berenger
, “
Perfectly matched layer for the FDTD solution of wave-structure. Interaction problems
,”
IEEE Trans. Microwave Theory Tech.
44
, 110 – 117 ( 1996 ).
J.P.
Berenger
, “
A perfectly matched layer for the absorption of electromagnetic waves
,”
J. Comput. Phys.
114
, 185 – 200 ( 1994 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
R.C.
McPhedran
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Confinement losses in microstructured optical fibers
,”
Opt. Lett.
26
, 1660 – 1662 ( 2001 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
R.C.
McPhedran
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Confinement losses in microstructured optical fibers
,”
Opt. Lett.
26
, 1660 – 1662 ( 2001 ).
[Crossref]
H.
Rogier
and
D.
De Zutter
, “
Berenger and Leaky Modes in Microstrip Substrates Terminated by a Perfectly Matched Layer
,”
IEEE Trans. Microwave Theory Tech.
49
, 712 – 715 ( 2001 ).
[Crossref]
A.
Bayliss
,
M.
Gunzburger
, and
E.
Turkel
, “
Boundary conditions for the numerical solution of elliptic equations in exterior regions
,”
SIAM J. Appl. Math.
42
, 430 – 451 ( 1982 ).
[Crossref]
N.
Kaneda
,
B.
Houshmand
, and
T.
Itoh
, “
FDTD analysis of dielectric resonators with curved surfaces
,”
IEEE Trans. Microwave Theory Tech.
45
, 1645 – 1649 ( 1997 ).
[Crossref]
N.
Kaneda
,
B.
Houshmand
, and
T.
Itoh
, “
FDTD analysis of dielectric resonators with curved surfaces
,”
IEEE Trans. Microwave Theory Tech.
45
, 1645 – 1649 ( 1997 ).
[Crossref]
N.
Kaneda
,
B.
Houshmand
, and
T.
Itoh
, “
FDTD analysis of dielectric resonators with curved surfaces
,”
IEEE Trans. Microwave Theory Tech.
45
, 1645 – 1649 ( 1997 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
R.C.
McPhedran
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Confinement losses in microstructured optical fibers
,”
Opt. Lett.
26
, 1660 – 1662 ( 2001 ).
[Crossref]
C.D.
Meyer
, “
Matrix analysis and applied linear algebra
”,
SIAM
, Philadelphia ( 2000 ).
M.
Wiktor
and
M.
Mrozowski
,“
Efficient Analysis of Waveguide Components Using a Hybrid PEE-FDFD Algorithm
,”
IEEE Microwave and Wireless Components Letters
13
, 396 – 398 ( 2003 ).
[Crossref]
M.
Mrozowski
,
M.
Okoniewski
, and
M.A.
Stuchly
, “
A hybrid PEE-FDTD method for efficient field modeling in cyllindrical coordinates
,”
Electronics Letters
32
, 194 – 195 ( 1996 ).
[Crossref]
M.
Mrozowski
, “
A Hybrid PEE-FDTD Algorithm for Accelerated Time Domain Analysis of Electromagnetic Waves
,”
IEEE Microwave and Guided Wave Letters
4
, 323 – 325 ( 1994 ).
[Crossref]
M.
Wiktor
and
M.
Mrozowski
,“
Discrete Projection for Finite Difference Methods
,” 20th Annual Review or Progress in Applied Computational Electromagnetics, Syracuse NY 2004 , Conf. proceedings, S04P08.
M.
Mrozowski
,
M.
Okoniewski
, and
M.A.
Stuchly
, “
A hybrid PEE-FDTD method for efficient field modeling in cyllindrical coordinates
,”
Electronics Letters
32
, 194 – 195 ( 1996 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
H.
Rogier
and
D.
De Zutter
, “
Berenger and Leaky Modes in Microstrip Substrates Terminated by a Perfectly Matched Layer
,”
IEEE Trans. Microwave Theory Tech.
49
, 712 – 715 ( 2001 ).
[Crossref]
P.
Russell
, “
Photonic Crystal Fibers
,”
Science
299
, 358 – 362 ( 2003 ).
[Crossref]
[PubMed]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
R.C.
McPhedran
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Confinement losses in microstructured optical fibers
,”
Opt. Lett.
26
, 1660 – 1662 ( 2001 ).
[Crossref]
M.
Mrozowski
,
M.
Okoniewski
, and
M.A.
Stuchly
, “
A hybrid PEE-FDTD method for efficient field modeling in cyllindrical coordinates
,”
Electronics Letters
32
, 194 – 195 ( 1996 ).
[Crossref]
A.
Bayliss
,
M.
Gunzburger
, and
E.
Turkel
, “
Boundary conditions for the numerical solution of elliptic equations in exterior regions
,”
SIAM J. Appl. Math.
42
, 430 – 451 ( 1982 ).
[Crossref]
T.
Weiland
, “
Verlustbehaftete Wellenleiter mit beliebiger. Randkontur und Materialverteilung
,”
AEU
33
, 170 – 174 ( 1979 ).
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
T.P.
White
,
R.C.
McPhedran
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Confinement losses in microstructured optical fibers
,”
Opt. Lett.
26
, 1660 – 1662 ( 2001 ).
[Crossref]
M.
Wiktor
and
M.
Mrozowski
,“
Efficient Analysis of Waveguide Components Using a Hybrid PEE-FDFD Algorithm
,”
IEEE Microwave and Wireless Components Letters
13
, 396 – 398 ( 2003 ).
[Crossref]
M.
Wiktor
and
M.
Mrozowski
,“
Discrete Projection for Finite Difference Methods
,” 20th Annual Review or Progress in Applied Computational Electromagnetics, Syracuse NY 2004 , Conf. proceedings, S04P08.
T.
Weiland
, “
Verlustbehaftete Wellenleiter mit beliebiger. Randkontur und Materialverteilung
,”
AEU
33
, 170 – 174 ( 1979 ).
M.
Mrozowski
,
M.
Okoniewski
, and
M.A.
Stuchly
, “
A hybrid PEE-FDTD method for efficient field modeling in cyllindrical coordinates
,”
Electronics Letters
32
, 194 – 195 ( 1996 ).
[Crossref]
M.
Mrozowski
, “
A Hybrid PEE-FDTD Algorithm for Accelerated Time Domain Analysis of Electromagnetic Waves
,”
IEEE Microwave and Guided Wave Letters
4
, 323 – 325 ( 1994 ).
[Crossref]
M.
Wiktor
and
M.
Mrozowski
,“
Efficient Analysis of Waveguide Components Using a Hybrid PEE-FDFD Algorithm
,”
IEEE Microwave and Wireless Components Letters
13
, 396 – 398 ( 2003 ).
[Crossref]
J.P.
Berenger
, “
Perfectly matched layer for the FDTD solution of wave-structure. Interaction problems
,”
IEEE Trans. Microwave Theory Tech.
44
, 110 – 117 ( 1996 ).
H.
Rogier
and
D.
De Zutter
, “
Berenger and Leaky Modes in Microstrip Substrates Terminated by a Perfectly Matched Layer
,”
IEEE Trans. Microwave Theory Tech.
49
, 712 – 715 ( 2001 ).
[Crossref]
N.
Kaneda
,
B.
Houshmand
, and
T.
Itoh
, “
FDTD analysis of dielectric resonators with curved surfaces
,”
IEEE Trans. Microwave Theory Tech.
45
, 1645 – 1649 ( 1997 ).
[Crossref]
J.P.
Berenger
, “
A perfectly matched layer for the absorption of electromagnetic waves
,”
J. Comput. Phys.
114
, 185 – 200 ( 1994 ).
[Crossref]
T.P.
White
,
B.T.
Kuhlmey
,
R.C.
McPhedran
,
D.
Maystre
,
R.
Ranversez
,
C.M.
de Sterke
,
L.C.
Botten
, and
M.J.
Steel
, “
Multipole method for microstructured optical fibers. I. Formulation
,”
J. Opt. Soc. Am. B
19
, 2322 – 2330 ( 2002 ).
[Crossref]
D.
Ferrarini
,
L.
Vincetti
,
M.
Zoboli
,
A.
Cucinotta
, and
S.
Selleri
, “
Leakage properties of photonic crystal fibers
,”
Opt. Express
10
, 1314 – 1319 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-23-1314 .
[PubMed]
C.
Kerbage
and
B. J.
Eggleton
, ”
Numerical analysis and experimental design of tunable birefringence in microstruc-tured optical fiber
,”
Opt. Express
10
, 246 – 255 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-5-246 .
[PubMed]
Z.
Zhu
and
T.G.
Brown
, “
Full-vectorial finite-difference analysis of microstructured optical fibers
,”
Opt. Express
10
, 853 – 864 ( 2002 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853 .
[PubMed]
H.P.
Uranus
and
H.J.W.M.
Hoekstra
, “
Modeling of microstructured waveguides using a finite-element-based vecto-rial mode solver with transparent boundary conditions
,”
Opt. Express
12
, 2795 – 2809 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2795 .
[Crossref]
[PubMed]
Shangping
Guo
,
Feng
Wu
,
Sacharia
Albin
,
Hsiang
Tai
, and
Robert S.
Rogowski
, “
Loss and dispersion analysis of microstructured fibers by finite-difference method
,”
Opt. Express
12
, 3341 – 3352 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341 .
[Crossref]
[PubMed]
P.
Russell
, “
Photonic Crystal Fibers
,”
Science
299
, 358 – 362 ( 2003 ).
[Crossref]
[PubMed]
A.
Bayliss
,
M.
Gunzburger
, and
E.
Turkel
, “
Boundary conditions for the numerical solution of elliptic equations in exterior regions
,”
SIAM J. Appl. Math.
42
, 430 – 451 ( 1982 ).
[Crossref]
C.D.
Meyer
, “
Matrix analysis and applied linear algebra
”,
SIAM
, Philadelphia ( 2000 ).
M.
Wiktor
and
M.
Mrozowski
,“
Discrete Projection for Finite Difference Methods
,” 20th Annual Review or Progress in Applied Computational Electromagnetics, Syracuse NY 2004 , Conf. proceedings, S04P08.