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

Modelling Leaky Waves in Planar Dielectric Waveguides

EPJ Web of Conferences ◽

10.1051/epjconf/202022602003 ◽

2020 ◽

Vol 226 ◽

pp. 02003

Author(s):

Edik Ayryan ◽

Dmitry Divakov ◽

Alexandre Egorov ◽

Konstantin Lovetskiy ◽

Leonid Sevastianov

Keyword(s):

Liouville Problem ◽

Dielectric Waveguides ◽

Complex Coefficient ◽

Leaky Waves ◽

Leaky Modes ◽

Inhomogeneous Waves ◽

Long Time ◽

Sturm Liouville ◽

Time Propagation ◽

Leaky Waveguide

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.

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Guided and Leaky Modes of Planar Waveguides: Computation via High Order Finite Elements and Iterative Methods

PIERS Online ◽

10.2529/piers091216124247 ◽

2010 ◽

Vol 6 (7) ◽

pp. 669-673 ◽

Cited By ~ 5

Author(s):

David Stowell ◽

Johannes Tausch

Keyword(s):

Finite Elements ◽

Iterative Methods ◽

High Order ◽

Planar Waveguides ◽

Leaky Modes

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Guided and Leaky Modes of a Multilayer Planar Slab Waveguide

i-manager’s Journal on Electronics Engineering ◽

10.26634/jele.1.3.1421 ◽

2011 ◽

Vol 1 (3) ◽

pp. 14-21 ◽

Cited By ~ 1

Author(s):

S. K. Raghuwanshi ◽

V. Kumar ◽

Radha Raman Pandey

Keyword(s):

Slab Waveguide ◽

Leaky Modes

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Effect of Modelling Inhomogeneous Wave Conditions on Structural Responses of a Very Long Floating Bridge

Journal of Marine Science and Engineering ◽

10.3390/jmse9050548 ◽

2021 ◽

Vol 9 (5) ◽

pp. 548

Author(s):

Jian Dai ◽

Christos Stefanakos ◽

Bernt J. Leira ◽

Hagbart Skage Alsos

Keyword(s):

Water Environment ◽

Bridge Structure ◽

Inhomogeneous Wave ◽

Wave Condition ◽

Analysis And Design ◽

Inhomogeneous Waves ◽

Modelling Analysis ◽

Structural Responses ◽

Floating Bridge ◽

Wave Conditions

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.

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