Abstract
A numerical approach based on the finite-element method is described for the analysis of curved optical waveguides. Both TE-like and TM-like modes are systematically formulated. Numerical examples of the propagation characteristics of curved rib waveguides are given. Our results for curved rib waveguides with rectangular cross section agree well with the results of the method of lines. We also demonstrate the application of this approach by analyzing curved rib waveguides with trapezoidal cross section.
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References
1.
Kraus
T.
, P.
Laybourn
J.R.
and
Roberts
J.
, Electron. Lett. 26 (1990 ) 2095 –2096 .
2.
Hohimer
J.P.
,
Craft
D.C.
,
Hadley
G.R.
,
Vawter
G.A.
and
Warren
M.E.
, Appl. Phys. Lett. 59 (1991 ) 3360 –3362 .
3.
McCall
S.L.
,
Levi
A.F.J.
,
Slusher
R.E.
,
Pearton
S.J.
and
Logan
R.A.
, Appl. Phys. Lett. 60 (1992 ) 289 –291 .
4.
Carran
J.H.
,
D'asaro
L. A.
,
Dyment
J.C.
and
Herskowitz
G.J.
, IEEE J. Quantum Electron. QE-6 (1970 ) 367 –371 .
5.
Botez
D.
,
Figurueroa
L.
and
Wang
S.
, Appl. Phys. Lett. 29 (1976 ) 502 –504 .
6.
Matsumoto
N.
and
Kumabe
K.
, Japan. J. Appl. Phys. 16 (1977 ) 1395 –1398 .
7.
Kawaguchi
H.
and
Kawakami
T.
, Japan. J. Appl. Phys. 16 (1977 ) 2281 –2282 .
8.
Marcatili
E.A.J.
, Bell Syst. Tech. J. 48 (1969 ) 2103 –2132 .
9.
Marcuse
D.
, Bell Syst. Tech. J. 50 (1971 ) 2551 –2563 .
10.
Heiblum
M.
and
Harris
J.H.
, IEEE J. Quantum Electron. QE-11 (1975 ) 75 –83 .
11.
Gu
J.
,
Besse
P.
and
Melchior
H.
, Electron. Lett. 25 (1989 ) 278 –280 .
12.
Gu
J.
,
Besse
P.
and
Melchior
H.
, IEEE J. Quantum Electron. QE-27 (1991 ) 531 –537 .
13.
Yeh
C.W.
, IEEE Trans. Circuit and Systems CAS-26 (1979 ) 1011 –1019 .
14.
Saad
S.M.
, IEEE Trans. Microwave Theory Tech. MTT-33 (1985 ) 894 –899 .
15.
Rahman
B.M.A.
,
Fernandez
F.A.
and
Davies
J.B.
, Proc. IEEE 79 (1991 ) 1442 –1448 .
16.
Mabaya
N.
,
Lagasse
P.E.
and
Vandenbulcke
P.
, IEEE Trans. Microwave Theory Tech. MTT-29 (1981 ) 600 –605 .
17.
Koshiba
M.
,
Hayata
K.
and
Suzuki
M.
, Electron. Lett. 18 (1982 ) 411 –413 .
18.
Koshiba
M.
,
Hayata
K.
and
Suzuki
M.
, Trans. Inst. Electron. Commun. Eng. Japan E 66 (1983 ) 157 –158 .
19.
Koshiba
M.
,
Hayata
K.
and
Suzuki
M.
, IEEE Trans. Microwave Theory Tech. MTT-32 (1984 ) 587 –593 .
20.
Wu
R.B.
and
Chen
C.H.
, IEEE J. Quantum Electron. QE-22 (1986 ) 603 –609 .
21.
Strake
E.
,
Bava
G.P.
and
Montrosset
I.
, J. Lightwave Technol. 6 (1988 ) 1126 –1135 .
22.
Mustacich
R.V.
, Appl. Opt. 27 (1988 ) 3732 –3737 .
23.
Hayakawa
K.
and
Sakuda
K.
, Appl. Opt. 29 (1990 ) 3100 –3109 .
24.
Bersiner
L.
,
Hempelmann
U.
and
Strake
E.
, J. Opt. Soc. Am. B 8 (1991 ) 422 –433 .
25.
Neubauer
C.
,
März
R.
and
Shienle
M.
,
Lightwave
J.
Technol. 8 (1990 ) 1932 –1936 .
26.
Marcatili
E.A.J.
, Bell Syst. Tech. J. 48 (1969 ) 2071 –2102 .