1980
DOI: 10.1029/rs015i003p00667
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Coupled mode analysis for a nonuniform tropospheric wave guide

Abstract: We employ a two‐dimensional cylindrical model to analyze the normal modes in a laterally nonuniform tropospheric duct. The utilization of the impedance boundary condition at the earth's surface permits us to use a complete field representation in terms of discrete modes only. These modes are chosen to be locally orthogonal so that a tapered‐type nonuniformity can be handled with a systematic accounting of the mode conversion. Explicit formulas are given for the coupling coefficients. It is shown that the gener… Show more

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Cited by 24 publications
(6 citation statements)
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References 13 publications
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“…This method has the advantages of being a full-forward-wave calculation that requires relatively few approximations and accommodates lateral as well as vertical inhomogeneities in the refractive conditions. Although other propagation models are capable of accounting for horizontal refractive gradients [Cho and Wait, 1978;Wait, 1980;Pappert, 1982;Felsen, 1981], they inevitably are restricted to simplistic refractive conditions, lower frequencies, and/or certain regions of space. The parabolic equation/split-step approach, however, has been demonstrated to provide accurate predictions of normalized signal strength in complicated measured environments [Dockery and Konstanzer, 1987].…”
Section: Introductionmentioning
confidence: 99%
“…This method has the advantages of being a full-forward-wave calculation that requires relatively few approximations and accommodates lateral as well as vertical inhomogeneities in the refractive conditions. Although other propagation models are capable of accounting for horizontal refractive gradients [Cho and Wait, 1978;Wait, 1980;Pappert, 1982;Felsen, 1981], they inevitably are restricted to simplistic refractive conditions, lower frequencies, and/or certain regions of space. The parabolic equation/split-step approach, however, has been demonstrated to provide accurate predictions of normalized signal strength in complicated measured environments [Dockery and Konstanzer, 1987].…”
Section: Introductionmentioning
confidence: 99%
“…PEM provides a reliable wave solution for the prediction of electromagnetic field in which real refractivity profiles are considered unlike the initially used rays-based solution techniques and mode theory-based solutions techniques. In contrast to PEM, ray-based and mode theory-based solution techniques like geometrical optics [12], physical optics [13], normal mode analysis, coupled mode analysis [14], and hybrid methods [15] resulted in an inappropriate solution [16].…”
Section: Parabolic Equation Methodsmentioning
confidence: 99%
“…[10][11][12][13][14][15][16][17][18][19][20][21] Wedge-shaped waveguides find applications in other fields as well, such as electromagnetics. [7][8][9][22][23][24] The case of a point source in a three-dimensional wedge with perfectly reflecting boundaries and homogeneous medium leads to a separable PDE. Buckingham derived an exact solution 10,11 for the case where both boundaries are pressurerelease surfaces, and Frisk 25 did so for the case of one pressure release and one rigid boundary.…”
Section: Introductionmentioning
confidence: 99%