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Mode equation and its solution for dielectric waveguide with parabolic cross-section

Optical and Quantum Electronics, 1989
The mode equation for the dielectric waveguide with parabolic cross-section is derived using both the effective index method and WKB theory, and the expression of the mode propagation constant or effective index is solved directly from this mode equation, so that the mode-propagation properties of this kind of waveguide can be analysed conveniently ...
Chunsheng MA, Shiyong Liu
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Coupled-mode solutions in the complex plane and benchmarking with the parabolic equation method

The Journal of the Acoustical Society of America, 2003
A complex plane extension of a previously developed two-way coupled mode model is presented. Coupling coefficients based on horizontal layer propagators using complex Airy solutions are evaluated analytically [Stotts, J. Acoust. Soc. Am. 111, 1623–1643 (2002)].
Steven A. Stotts   +2 more
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Stable modes of derivative nonlinear Schrödinger equation with super-Gaussian and parabolic potential

Physics Letters A, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amiya Das, Niladri Ghosh, Debraj Nath
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Application of the mode vector parabolic equation to the 3-dimensional wedge problem

The Journal of the Acoustical Society of America, 1995
The MVPE [Abawi etal., this session] is applied to the problem of propagation of waves in a 3-dimensional coastal wedge and the results are compared with those when horizontal coupling is neglected and with the results obtained from conventional 3-dimensional methods.
Ahmad T. Abawi, W. A. Kuperman
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Time domain analysis of normal mode, parabolic, and ray solutions of the wave equation

The Journal of the Acoustical Society of America, 1991
Estimation of sound speed and temperature fields from tomographic data requires knowledge of the accuracy of the forward model. For this reason, time domain results using three models derived from the acoustic wave equation are compared here. The models chosen for the analysis are normal modes (NM) and the parabolic equation (PE) and ray approximations.
Linda Boden   +2 more
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Examples of test calculations by the acoustic mode parabolic equation with the mode interaction and the elastic bottom

2019 Days on Diffraction (DD), 2019
In this work a mode parabolic equation method for resonantly interacting modes accounting for the weak elasticity in the bottom is developed. The proposed method is tested numerically. The test calculations carried out for the ASA wedge benchmark prove an excellent agreement with the source images method for sufficiently small values of shear waves ...
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Bill Kuperman and the coupled mode parabolic equation

The Journal of the Acoustical Society of America
I worked with Bill Kuperman as his first postdoc in the fall of 1993, after he joined the Scripps Institution of Oceanography as director of the Marine Physical Laboratory earlier that summer. I had just completed my Ph.D. at the physics department at UCSD. Bill’s first task for me was to develop a 3D propagation model using normal modes. The resulting
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Perth-Bermuda revisited again: Global adiabatic mode parabolic equation results

The Journal of the Acoustical Society of America, 2011
In 1960, a set of explosives were detonated off the coast of Perth Australia, and multi-pulse receptions were recorded from moored hydrophones off of Bermuda. The Perth-Bermuda experiment demonstrated the capability of trans oceanic acoustic propagation. The two-pulse arrival, separated by approximately 25 s, was explained by Heaney, etal. (JASA, 90(5),
Kevin D. Heaney, Richard L. Campbell
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Intrinsic mode (IM) - parabolic equation (PE) comparisons on radio wave propagation

25th European Microwave Conference, 1995, 1995
Radiowave propagation in tropospheric ducts near earth's surface is described in terms of Intrinsic Mode and Parabolic Equation methods. The discussion is focused on ground wave propagation near earth's surface through surface based as well as elevated ducts.
Levent Sevgi, Ozlem Ercan
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Quick Normal Mode Type Starting Fields for Parabolic Equation Models

1987
It is well known that Parabolic equation models require the user to provide a starting field. We present a method which directly generates the special combination of modes that gives the correct starting field. A comparison is made to the more customary Gaussian and normal mode starting fields.
E. Richard Robinson   +2 more
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