TY - JOUR

T1 - Plane Wave Diffraction by a Strongly Elongated Three-Axis Ellipsoid

AU - Андронов, Иван Викторович

AU - Андронов, Николай Иванович

PY - 2021/7

Y1 - 2021/7

N2 - Abstract: A high-frequency diffraction problem is considered for a plane wave incident on a three-axis strongly elongated ellipsoid. The leading order term of the asymptotics of the field in a boundary layer near the surface is constructed with the use of the parabolic equation method in ellipsoidal coordinates. The field is expressed in the form of the integral via the solutions of the confluent Heun equation. The values of the field on the surface of an absolutely hard ellipsoid and the velocities on the absolutely soft ellipsoid are computed. The effects of high-frequency diffraction are discussed.

AB - Abstract: A high-frequency diffraction problem is considered for a plane wave incident on a three-axis strongly elongated ellipsoid. The leading order term of the asymptotics of the field in a boundary layer near the surface is constructed with the use of the parabolic equation method in ellipsoidal coordinates. The field is expressed in the form of the integral via the solutions of the confluent Heun equation. The values of the field on the surface of an absolutely hard ellipsoid and the velocities on the absolutely soft ellipsoid are computed. The effects of high-frequency diffraction are discussed.

KW - Heun functions

KW - diffraction

KW - high-frequency asymptotics

KW - parabolic equation method

KW - strongly elongated ellipsoid

KW - BODY

KW - EQUATION

UR - http://www.scopus.com/inward/record.url?scp=85118767231&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b2a3feec-44cc-3d56-8ab4-2747cc2b8272/

U2 - 10.1134/s1063771021040023

DO - 10.1134/s1063771021040023

M3 - Article

VL - 67

SP - 341

EP - 350

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 4

ER -