Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Diffraction of acoustic waves from a point source over an impedance wedge. / Lyalinov, Mikhail A. .
The URSI GASS 2020. Proceedings. 2020. p. B09-01 PID6299809.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Diffraction of acoustic waves from a point source over an impedance wedge
AU - Lyalinov, Mikhail A.
PY - 2020
Y1 - 2020
N2 - Contrary to the problem of scattering of electromagneticwaves from a Hertz dipole located over an impedancewedge, the corresponding acoustic problem is explicitlysolvable (i.e. by quadrature). In this work we study diffractionof a spherical acoustic wave due to a point source, by animpedance wedge. In the exterior of the wedge the acousticpressure satisfies the stationary wave (Helmholtz) equationand classical impedance boundary conditions on two facesof the wedge, as well as Meixner’s condition at the edge andthe radiation conditions at infinity. Solution of the boundaryvalue problem is represented by a Weyl type integraland its asymptotic behavior is discussed. On this way, wederive various components in the far field interpreting themaccordingly and discussing their physical meaning.
AB - Contrary to the problem of scattering of electromagneticwaves from a Hertz dipole located over an impedancewedge, the corresponding acoustic problem is explicitlysolvable (i.e. by quadrature). In this work we study diffractionof a spherical acoustic wave due to a point source, by animpedance wedge. In the exterior of the wedge the acousticpressure satisfies the stationary wave (Helmholtz) equationand classical impedance boundary conditions on two facesof the wedge, as well as Meixner’s condition at the edge andthe radiation conditions at infinity. Solution of the boundaryvalue problem is represented by a Weyl type integraland its asymptotic behavior is discussed. On this way, wederive various components in the far field interpreting themaccordingly and discussing their physical meaning.
UR - http://www.ursi.org/proceedings/procGA20/programme.html
M3 - Conference contribution
SP - B09-01
BT - The URSI GASS 2020. Proceedings
T2 - XXXIIIrd URSI General Sssembly and Scientific Symposium
Y2 - 29 August 2020 through 5 September 2020
ER -
ID: 62231597