Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Influence of the longitudinal inhomogeneity of the coated graded-index planar waveguide on the nonlinear modulated pulse propagation. / Bisyarin, M. A.; Yurkin, V. A.
2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017. ed. / Weng Cho Chew; Sailing He; Sailing He. Electromagnetics Academy, 2017. p. 1476-1481.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Influence of the longitudinal inhomogeneity of the coated graded-index planar waveguide on the nonlinear modulated pulse propagation
AU - Bisyarin, M. A.
AU - Yurkin, V. A.
PY - 2017/5/22
Y1 - 2017/5/22
N2 - The weak nonlinear regime of the high-frequency modulated pulse propagation is considered in a planar graded-index structure, with its longitudinal inhomogeneity and the presence of the cladding being taken into account. The model equation is formed by completing the standard nonlinear wave equation with a term that adequately characterizes the material dispersion of dielectric material filling the waveguide. An asymptotic solution to the model equation is constructed with respect to a small parameter prescribing the order of magnitude of the wave field, and the second power of this parameter - the ratio of scales of longitudinal and transverse inhomogeneities. Explicit analytical formulae are obtained for the propagation constants and the transverse field distributions of various modes for the hyperbolic secant profile. For the pulse envelope the nonlinear Schrödinger equation is derived, its coefficients depend on the longitudinal coordinate, differ for different modes, and account for material and waveguide dispersions. Effects caused by the presence of the cladding and material dispersion are estimated separately.
AB - The weak nonlinear regime of the high-frequency modulated pulse propagation is considered in a planar graded-index structure, with its longitudinal inhomogeneity and the presence of the cladding being taken into account. The model equation is formed by completing the standard nonlinear wave equation with a term that adequately characterizes the material dispersion of dielectric material filling the waveguide. An asymptotic solution to the model equation is constructed with respect to a small parameter prescribing the order of magnitude of the wave field, and the second power of this parameter - the ratio of scales of longitudinal and transverse inhomogeneities. Explicit analytical formulae are obtained for the propagation constants and the transverse field distributions of various modes for the hyperbolic secant profile. For the pulse envelope the nonlinear Schrödinger equation is derived, its coefficients depend on the longitudinal coordinate, differ for different modes, and account for material and waveguide dispersions. Effects caused by the presence of the cladding and material dispersion are estimated separately.
UR - http://www.scopus.com/inward/record.url?scp=85044975154&partnerID=8YFLogxK
U2 - 10.1109/PIERS.2017.8261979
DO - 10.1109/PIERS.2017.8261979
M3 - Conference contribution
AN - SCOPUS:85044975154
SP - 1476
EP - 1481
BT - 2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017
A2 - Chew, Weng Cho
A2 - He, Sailing
A2 - He, Sailing
PB - Electromagnetics Academy
T2 - 2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017
Y2 - 21 May 2017 through 24 May 2017
ER -
ID: 36241087