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Dispersion relations for TE modes in arbitrarily nonlinear, graded-index slab waveguides are solved numerically by the finite-element method. In this approach, self-consistent solutions can be obtained by a simple iteration. It is shown that a small deviation from the Kerr-type nonlinear effect gives rise to a drastic change in the power-dependent behaviour of guided waves. The dependence of dispersion relations on the refractive-index profile of the film is also examined.
References
-
-
1)
-
R.K. Varshney ,
M.A. Nehme ,
R. Srivastava ,
R.V. Ramaswamy
.
Guided waves in graded-index planar waveguides with nonlinear cover medium.
Appl. Opt.
,
3899 -
3902
-
2)
-
A.A. Maradudin ,
M. Borissov
.
(1983)
Nonlinear surface electromagnetic waves, Optical and acoustic waves in solids—modern topics.
-
3)
-
G.I. Stegeman ,
E.M. Wright ,
C.T. Seaton ,
J.V. Moloney ,
T.-P. Shen ,
A.A. Maradudin ,
R.F. Wallis
.
Nonlinear slab-guided waves in non-Kerr-like media.
IEEE J. Quantum Electron.
,
977 -
983
-
4)
-
C.T. Seaton ,
J.D. Valera ,
R.L. Shoemaker ,
G.I. Stegeman ,
J.T. Chilwell ,
S.D. Smith
.
Calculations of nonlinear TE waves guided by thin dielectric films bounded by nonlinear media.
IEEE J. Quantum Electron.
,
774 -
783
-
5)
-
U. Langbein ,
F. Lederer ,
T. Peschel ,
H.-E. Ponath
.
Nonlinear guided waves in saturable nonlinear media.
Opt. Lett.
,
571 -
573
-
6)
-
A.D. Boardman ,
P. Egan
.
S-polarized waves in a thin dielectric film asymmetrically bounded by optically nonlinear media.
IEEE J. Quantum Electron.
,
1701 -
1713
-
7)
-
Satomura, Y.: `Propagation of nonlinear waves in dielectric optical waveguide', Tech. res. rep. Inst. Electron. Commun. Eng., October 1986, Jpn., p. 74–79, in Japanese.
-
8)
-
O.C. Zienkiewicz
.
(1977)
, The finite element method.
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19870311
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