Mode-matching solution of a scattering problem in flexible waveguide with abrupt geometric changes

被引：13

作者：

Afzal, Muhammad ^{[1
,2
]}

Ayub, Muhammad ^{[1
]}

Nawaz, Rab ^{[3
]}

Wahab, Abdul ^{[4
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

[2] Capital Univ Sci & Technol, Dept Math, Islamabad, Pakistan

[3] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad 44000, Pakistan

[4] Korea Adv Inst Sci & Technol, Dept Bio & Brain Engn, Bio Imaging & Signal Proc Lab, 291 Daehak Ro, Taejon 305701, South Korea

来源：

IMAGING, MULTI-SCALE AND HIGH CONTRAST PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 660卷

关键词：

Mode matching; flexible waveguide; energy flux; power balance; generalized orthogonality relations; ELECTROMAGNETIC SCATTERING; AXISYMMETRICAL DEFECTS; ACOUSTICAL IMPEDANCE; ELASTIC-WAVES; PROPAGATION; JUNCTION; DIFFRACTION;

D O I：

10.1090/conm/660/13262

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is concerned with a flexible waveguide scattering problem arising in structural acoustics. A mode-matching solution framework is explained from the perspective of orthogonality relations for analyzing reflection and transmission of waves in the waveguide with discontinuous material properties and abrupt geometric changes. The energy flux and power balance are discussed and the results are elucidated through apposite numerical experiments.

引用

页码：113 / 129

页数：17

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