A one‐way coupled mode solution, Huygens’ principle and mode coupling coefficients

1999 ◽  
Vol 106 (4) ◽  
pp. 2225-2225
Author(s):  
Michael F. Werby
2008 ◽  
Vol 16 (02) ◽  
pp. 225-256 ◽  
Author(s):  
STEVEN A. STOTTS

A coupled-mode formalism based on complex Airy layer mode solutions is presented. It is an extension into the complex horizontal wavenumber plane of the companion article [Stotts, J. Acoust. Soc. Am.111 (2002) 1623–1643], referred to here as the real horizontal wavenumber version, which accounted for general ocean environments but was restricted to normal modes on the real horizontal wavenumber axis. A formulation of the expressions for both trapped and continuum complex coupling coefficients is developed to dramatically reduce computer storage requirements and to make the calculation more practical. The motivation of this work is to demonstrate the numerical implementation of the derivations and to apply the method to an example benchmark. Differences from the real horizontal wavenumber formalism are highlighted. The coupled equations are solved using the Lanczos method [Knobles, J. Acoust. Soc. Am.96 (1994) 1741–1747]. Comparisons of the coupled-mode solution to a parabolic equation solution for the ONR shelf break benchmark validate the results.


2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Umar Farooque ◽  
Rakesh Ranjan

AbstractIn order to select the heterogeneous multicore fiber (MCF) configuration with ultra-low crosstalk and low peak bending radius, comparative crosstalk analysis have been done for the three possible core configurations, namely, Configuration 1 - different refractive index (R.I.) and different radius, Configuration 2 - different R.I., and Configuration 3 - different radius. Using the coupled mode equation and the simplified expressions of mode coupling coefficient (MCC) for different configurations of heterogeneous cores, the crosstalk performance of all the heterogeneous MCF configurations along with the homogeneous MCF have been investigated analytically with respect to core pitch (D) and fiber bending radius (${R}_{b}$). Further, these expressions of MCC have been extended to obtain the simplified expressions of MCC for the estimation of crosstalk levels in respective trench-assisted (TA) heterogeneous MCF configurations. It is observed from the analysis that in Configuration 1, crosstalk level is lowest and the rate of decrease in the crosstalk with respect to the core pitch is highest compared to the other configurations of heterogeneous MCF. The values of crosstalk obtained analytically have been validated by comparing it with the values obtained from finite element method (FEM) based numerical simulation results. Further, we have investigated the impact of a fixed percent change (5%) in the core parameters (radius and/or R.I.) of one of the core of a homogeneous MCF, to realize the different heterogeneous MCF configurations, on the variations in crosstalk levels, difference in the mode effective refractive index of the core 1 and core 2 ($\Delta {n}_{eff}={n}_{eff1}-{n}_{eff2}$), and the peak bending radius (${R}_{pk}$). For the same percent variations (5%) in the core parameters (radius and/or R.I.) of different configurations of cores (Config. 1-Config. 3), Config. 1 MCF has highest variation in $\Delta {n}_{eff}$ value compared to other configurations of MCF. Further, this highest variation in $\Delta {n}_{eff}$ value of Config. 1 MCF results in smallest peak bending radius. The smaller value of peak bending radius allows MCF to bend into smaller radius. Therefore, Configuration 1 is the potential choice for the design of MCF with smaller peak bending radius and ultra-low crosstalk level compared to the other configurations of SI-heterogeneous MCF.


1974 ◽  
Vol 27 (1) ◽  
pp. 43 ◽  
Author(s):  
DB Melrose

Previous discussions of mode coupling at a QT region have assumed vertical incidence and have hus invoked magnetic structures which violate div B = o. A new method is developed here for alculating the coupling coefficients for oblique incidence so that coupling at a QT region can be reated without invoking nonphysical magnetic structures. The method involves solving the Booker uartic equation implicitly in terms of the familiar formulae of magnetoionic theory. A coupling pproximation is introduced which involves one step in an iterative procedure to find explicit solutions rom the implicit ones. The approximation is necessarily valid in a finite range about the critical oupling points. The present method is used to generalize the results of Cohen to allow oblique ncidence. The results of the existing discussions of mode coupling for vertical incidence and nonphysical agnetic structures can be justified both qualitatively and semiquantitatively (although ith a slightly different physical interpretation).


2019 ◽  
Vol 12 (3) ◽  
pp. 198-204 ◽  
Author(s):  
Qiang Zhang ◽  
Xuhao Zhao ◽  
Chengwei Yuan ◽  
Jiande Zhang

AbstractTwo coaxial waveguide bend mode converters that transform coaxial transverse electromagnetic mode to TE11 coaxial waveguide mode are presented in this paper. Both converters are designed and optimized on the basis of the strictly derived mode coupling coefficients. Conversion efficiencies of both converters are over 99% and the power-handling capacities reach a gigawatt level. The combined dual-bend mode converter is fabricated and tested. The experimental results coincide well with the theoretical calculations and simulations, which demonstrates the feasibility of the designed converter.


1985 ◽  
Vol 32 (6) ◽  
pp. 635-637 ◽  
Author(s):  
E. Popov ◽  
L. Mashev

2012 ◽  
Author(s):  
Wenyu Luo ◽  
Chunmei Yang ◽  
Jixing Qin ◽  
Renhe Zhang

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