2000
DOI: 10.1109/8.833076
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Propagation modeling over terrain using the parabolic wave equation

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Cited by 134 publications
(119 citation statements)
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“…The SSF solution of (11) subject to the impedance boundary condition (12), (13), firstly derived in [13] and further improved in [27], is used in APM. A wide-angle propagator is also included that allows treating propagation problems requiring larger propagation angles with respect to the horizon; see [16] and the discussion in [15] about the introduction of the wide-angle propagator. The local grazing angles ϕ are determined by a combination of spectral estimation and geometric optics methods [15,24].…”
Section: Theoretical Backgroundsmentioning
confidence: 99%
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“…The SSF solution of (11) subject to the impedance boundary condition (12), (13), firstly derived in [13] and further improved in [27], is used in APM. A wide-angle propagator is also included that allows treating propagation problems requiring larger propagation angles with respect to the horizon; see [16] and the discussion in [15] about the introduction of the wide-angle propagator. The local grazing angles ϕ are determined by a combination of spectral estimation and geometric optics methods [15,24].…”
Section: Theoretical Backgroundsmentioning
confidence: 99%
“…A wide-angle propagator is also included that allows treating propagation problems requiring larger propagation angles with respect to the horizon; see [16] and the discussion in [15] about the introduction of the wide-angle propagator. The local grazing angles ϕ are determined by a combination of spectral estimation and geometric optics methods [15,24]. The surface impedance characteristics are calculated as a function of frequency using permittivity and conductivity graphs given in [28].…”
Section: Theoretical Backgroundsmentioning
confidence: 99%
See 1 more Smart Citation
“…where 13) showing that weak element contributions at point ρ n can be obtained through a spectral domain integral of the weak element complex far-field pattern or plane wave spectrum, F n (φ).…”
Section: Spectral Acceleration Of the Fbm For Vertical Polarizationmentioning
confidence: 99%
“…The applicability of (3) to larger angular sectors depends on the approximation assumed for the square root operator and the numerical scheme used [33,57]. If one neglects the backscattered field and assumes the simplest approximation, i.e., (1 + Z ) 1/2 ≈ 1 + Z /2, (3) transforms into (1).…”
mentioning
confidence: 99%