Boundary Conditions for Mode-Matching Analyses of Coupled Acoustic Fields in Ducts

The mode matching method is applied to analyze generalized ridged waveguides. The tangential fields in each region are expressed in terms of the product of several matrices, i.e., a functional matrix about x-F(x), a functional matrix about y-G(y) and a column vector of amplitudes. The boundary conditions are transformed into a set of linear equations by taking the inner products of each element of G(y) with weight functions. Two types of ridged waveguide are calculated to validate the theory. Several new modes not reported in previous analysis are presented.

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Specific Features of Excitation and Propagation of Longitudinal and Transverse Subsurface Waves in Solids: II. Effects of Some Boundary Conditions on Formation of Acoustic Fields

Russian Journal of Nondestructive Testing ◽

10.1007/s11181-006-0004-9 ◽

2005 ◽

Vol 41 (9) ◽

pp. 577-585 ◽

Cited By ~ 1

Author(s):

A. R. Baev ◽

M. V. Asadchaya

Keyword(s):

Boundary Conditions ◽

Acoustic Fields

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A Mode-Matching Solution for Scattering from a Large Isosceles Right Triangle Groove in PEC Plane

Advanced Electromagnetics ◽

10.7716/aem.v8i5.1256 ◽

2019 ◽

Vol 8 (5) ◽

pp. 37-43 ◽

Cited By ~ 2

Author(s):

M. Bozorgi

Keyword(s):

Linear System ◽

Boundary Conditions ◽

Physical Optics ◽

Mode Matching ◽

System Of Equations ◽

Matrix Elements ◽

Numerical Techniques ◽

Linear System Of Equations ◽

Physical Optics Approximation

In this literature, scattering from a large Isosceles Right Triangle Groove (IRTG) in a perfect electric plane (PEC) is studied. An efficient Mode-Matching manner involving physical optics approximation is applied to a large IRTG. Considering two synthetic PEC walls over the groove, the tangential fields inside and outside of the groove are expanded as the sums of infinite harmonics modes. By applying the boundary conditions, the modes are matched on IRTG and a linear system of equations based on series coefficients is constructed. Since matrix elements are computed analytically, finding the inverse an N×N matrix is the most time-consuming operation in this manner. The obtained results are verified by two full numerical techniques MoM and FEM.

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Field Analysis of Ridged Waveguides USING TRANSFER MATRIX

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.383-390.5280 ◽

2011 ◽

Vol 383-390 ◽

pp. 5280-5285

Author(s):

Wei Hua Zong ◽

Ming Xin Shao ◽

Xiao Yun Qu

Keyword(s):

Boundary Conditions ◽

Transfer Matrix ◽

Previous Analysis ◽

Linear Equations ◽

Field Analysis ◽

Weight Functions ◽

Mode Matching ◽

Matching Method ◽

Ridged Waveguide ◽

Functional Matrix

The mode matching method is applied to analyze generalized ridged waveguides. The tangential fields in each region are expressed in terms of the product of several matrices, i.e., a functional matrix about x-F(x), a functional matrix about y-G(y) and a column vector of amplitudes. The boundary conditions are transformed into a set of linear equations by taking the inner products of each element of G(y) with weight functions. Two types of ridged waveguide are calculated to validate the theory. Several new modes not reported in previous analysis are presented.

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Analysis of Waveguide Devices Involving Lateral and Transverse Perfect Magnetic Wall Boundary Conditions by the Mode-Matching Method

Radio Science ◽

10.1002/2017rs006327 ◽

2017 ◽

Vol 52 (9) ◽

pp. 1223-1234

Author(s):

Lucas Polo-López ◽

Jorge A. Ruiz-Cruz ◽

José R. Montejo-Garai ◽

Jesús M. Rebollar

Keyword(s):

Boundary Conditions ◽

Mode Matching ◽

Matching Method ◽

Mode Matching Method ◽

Magnetic Wall ◽

Waveguide Devices ◽

Wall Boundary ◽

Wall Boundary Conditions

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Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100068795 ◽

1970 ◽

Vol 28 ◽

pp. 360-361

Author(s):

John W. Coleman

Keyword(s):

Boundary Conditions ◽

High Performance ◽

Force Fields ◽

Optical Design ◽

Direct Conversion ◽

Design Engineering ◽

Design Data ◽

Scalar Potentials ◽

Geometric Elements ◽

At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

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