Rayleigh waves with impedance boundary condition: Formula for the velocity, existence and uniqueness

2017 ◽  
Vol 61 ◽  
pp. 180-185 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Quynh Xuan
Keyword(s):  
Boundary Condition ◽  
Rayleigh Waves ◽  
Existence And Uniqueness ◽  
Impedance Boundary Condition ◽  
Impedance Boundary

The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition

2019 ◽  
Vol 53 (1) ◽  
pp. 325-350
Author(s):  
Sergio Rojas ◽  
Ignacio Muga ◽  
Carlos Jerez-Hanckes
Keyword(s):  
Boundary Condition ◽  
Electromagnetic Wave ◽  
Asymptotic Analysis ◽  
Radiation Pattern ◽  
Half Space ◽  
Existence And Uniqueness ◽  
Radiation Condition ◽  
Impedance Boundary Condition ◽  
Impedance Boundary ◽  
Time Harmonic

We show existence and uniqueness of the outgoing solution for the Maxwell problem with an impedance boundary condition of Leontovitch type in a half-space. Due to the presence of surface waves guided by an infinite surface, the established radiation condition differs from the classical one when approaching the boundary of the half-space. This specific radiation pattern is derived from an accurate asymptotic analysis of the Green’s dyad associated to this problem.

A METHOD FOR THE TREATMENT OF A SLOPING SEA BOTTOM IN THE PARABOLIC APPROXIMATION

1996 ◽  
Vol 04 (01) ◽  
pp. 89-100 ◽  
Author(s):  
J. S. PAPADAKIS ◽  
B. PELLONI
Keyword(s):  
Boundary Condition ◽  
Helmholtz Equation ◽  
Pressure Field ◽  
Impedance Boundary Condition ◽  
Parabolic Approximation ◽  
Impedance Boundary ◽  
Local Boundary ◽  
Sea Bottom ◽  
Local Boundary Condition ◽  
Non Local

The impedance boundary condition for the parabolic approximation is derived in the case of a sea bottom profile sloping at a constant angle, as a non-local boundary condition imposed exactly at the interface. This condition is integrated into the IFD code for the numerical computation of the pressure field and implemented to test its accuracy in some benchmark cases, for which the backscattered field is negligible. It is shown that by avoiding the sloping interface, the results obtained are closer to the benchmark results given by normal mode codes solving the full Helmholtz equation, such as the 2-way COUPLE code, than those of the standard IFD or other 1-way codes, at least for problems that do not have significant backscattering effects.

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