scholarly journals Mathematical modeling of time-harmonic aeroacoustics with a generalized impedance boundary condition

2014 ◽  
Vol 48 (5) ◽  
pp. 1529-1555 ◽  
Author(s):  
Eric Luneville ◽  
Jean-Francois Mercier
Keyword(s):  
Mathematical Modeling ◽  
Boundary Condition ◽  
Impedance Boundary Condition ◽  
Impedance Boundary ◽  
Time Harmonic

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.

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