TY  - JOUR
Y1  - 2021///
TI  - Universal dispersion curves of a planar waveguide with an exponential graded-index guiding layer and a nonlinear cladding
N2  - A planar waveguide consisting of three layers is considered. The guiding layer is assumed of exponentially graded index of refraction. The cover layer is a nonlinear material of Kerr-type. The refractive index distribution of the film layer changes as an exponential function from the guiding layer to the substrate. The solutions of Helmholtz equation are found. They are written in terms of three parameters a, b and V. The solutions in the guiding layer and substrate are found as Bessel functions of order Vb. The characteristic equation is derived and the dispersion curves are plotted and analyzed. A set of attracting features are found such as there is no cut-off thickness corresponding to a symmetric waveguide structure. The b-values do not exceed unity. This means the dispersion curves refer to guided modes. © 2020 The Author(s)
SN  - 22113797
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85098747829&doi=10.1016%2fj.rinp.2020.103734&partnerID=40&md5=05610320036124fb58f0dd2e75f84114
N1  - cited By 25
A1  - Hussein, A.J.
A1  - Taya, S.A.
A1  - Vigneswaran, D.
A1  - Udiayakumar, R.
A1  - Upadhyay, A.
A1  - Anwar, T.
A1  - Amiri, I.S.
ID  - scholars15950
JF  - Results in Physics
AV  - none
PB  - Elsevier B.V.
VL  - 20
ER  -