Symbolic-numeric research of leaky modes in planar dielectric electromagnetic waveguide as inhomogeneous waves

2019 ◽  
Author(s):  
D. V. Divakov ◽  
A. A. Egorov ◽  
K. P. Lovetskiy ◽  
L. A. Sevastianov
2020 ◽  
Vol 226 ◽  
pp. 02003
Author(s):  
Edik Ayryan ◽  
Dmitry Divakov ◽  
Alexandre Egorov ◽  
Konstantin Lovetskiy ◽  
Leonid Sevastianov

Experimentally observed leaky modes of a dielectric waveguide are characterised by a weak tunnelling of the light through the waveguide and its long-time propagation along the waveguide. Traditional mathematical models of leaky waveguide modes meet some contradictions resolved using additional considerations. We propose a model of leaky modes in a waveguide free from the above contradictions, akin to the quantum mechanical model of the “pseudo-stable” Gamow-Siegert states. By separating variables, from the complete problem for plane inhomogeneous waves we obtain a non-self-adjoint Sturm-Liouville problem to determine the complex coefficient of the phase delay of the studied mode. The solution of the complete wave problem determines the propagation cone for the leaky mode of the waveguide, inside which there are no contradictions. Thus, solution is in qualitative agreement with experimental data.


2011 ◽  
Vol 1 (3) ◽  
pp. 14-21 ◽  
Author(s):  
S. K. Raghuwanshi ◽  
V. Kumar ◽  
Radha Raman Pandey
Keyword(s):  

2021 ◽  
Vol 9 (5) ◽  
pp. 548
Author(s):  
Jian Dai ◽  
Christos Stefanakos ◽  
Bernt J. Leira ◽  
Hagbart Skage Alsos

Floating bridges are suitable for connecting land parcels separated by wide and deep waterbodies. However, when the span of the crossing becomes very long, the water environment exhibits inhomogeneities which introduce difficulties to the modelling, analysis and design of the bridge structure. The wave inhomogeneity may be described by means of field measurement and/or numerical simulations. Both approaches face complications when the resolution is much refined. It is thus important to examine the effect of the resolution related to the modelling of inhomogeneous waves on the global structural responses. In this study, a hypothetical crossing at the Sulafjord is chosen, and the wave environment in the year 2015 at 10 positions along the crossing is numerically computed. Next, different inhomogeneous wave conditions are established based on the wave data at 3, 5, and 10 positions, respectively. Time-domain simulations are conducted to examine the effect of different modelling approaches of the inhomogeneous wave condition on the global responses of a long, straight and side-anchored floating bridge.


Author(s):  
Chen Kuei Jen ◽  
A. Safaai-Jazi ◽  
G.W. Farnell

2007 ◽  
Vol 17 (4) ◽  
pp. 559-570 ◽  
Author(s):  
A. Nicolet ◽  
F. Zolla ◽  
Y. O. Agha ◽  
S. Guenneau

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