On the dispersion of wedge acoustic waves

被引：13

作者：

Sokolova, Elena S. ^{[1
,2
]}

Kovalev, Alexander S. ^{[2
]}

Timler, Reinhold ^{[1
]}

Mayer, Andreas P. ^{[1
]}

机构：

[1] HS Offenburg, D-77723 Gengenbach, Germany

[2] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, UA-61103 Kharkov, Ukraine

来源：

WAVE MOTION | 2013年 / 50卷 / 02期

关键词：

Acoustic waves; Guided waves; Wedge waves; Dispersion; VIBRATIONAL EDGE MODES; FINITE-ELEMENT SIMULATIONS; PROPAGATION; BEHAVIORS; GUIDES; TIPS;

D O I：

10.1016/j.wavemoti.2012.08.015

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Acoustic waves guided at the apex of an ideal infinite elastic wedge are non-dispersive. Weak dispersion arises due to a variety of factors. Three of them are investigated in detail: (i) Coating of one or both of the two surfaces of the infinite wedge, (ii) truncating the wedge at its apex or replacing the tip of the wedge by a different material, (iii) slight modification of the material constants of the wedge material in an extended spatial region of the wedge near its tip. These three cases have been analysed within the perturbation theory, and the third case, in addition, with the help of semi-analytic finite element calculations. The dependence of the frequency on wavelength is derived for all three cases, and quantitative results are presented for the dispersion laws of example systems. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：233 / 245

页数：13

共 46 条

[21]

Krylov V. V., 1990, II International Symposium on Surface Waves in Solids and Layered Structures and IV International Scientific Technical Conference Acoustoelectronics '89, P174

[22]

Krylov V.V., P 1994 IEEE ULTR S, P793

[23] HARMONIC-GENERATION AND PARAMETRIC MIXING IN WEDGE ACOUSTIC-WAVES [J].

KRYLOV, VV ;

PARKER, DF .

WAVE MOTION, 1992, 15 (02) :185-200

[24]

Lagasse P.E., P 1974 IEEE ULTR S, P121

[25] HIGHER-ORDER FINITE-ELEMENT ANALYSIS OF TOPOGRAPHIC GUIDES SUPPORTING ELASTIC SURFACE-WAVES [J].

LAGASSE, PE .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1973, 53 (04) :1116-1122

[26] ANALYSIS OF A DISPERSION-FREE GUIDE FOR ELASTIC-WAVES [J].

LAGASSE, PE .

ELECTRONICS LETTERS, 1972, 8 (15) :372-&

[27] ACOUSTIC SURFACE WAVEGUIDES - ANALYSIS AND ASSESSMENT [J].

LAGASSE, PE ;

MASON, IM ;

ASH, EA .

IEEE TRANSACTIONS ON SONICS AND ULTRASONICS, 1973, SU20 (02) :143-154

[28] VIBRATIONAL EDGE MODES IN FINITE CRYSTALS [J].

MARADUDI.AA ;

WALLIS, RF ;

BALLARD, RL ;

MILLS, DL .

PHYSICAL REVIEW B, 1972, 6 (04) :1106-&

[29]

Maradudin A. A., 1987, Physics of Phonons. Proceedings of the XXIII Winter School of Theoretical Physics, P82

[30]

Mayer A. P., 1997, Proceedings of the Estonian Academy of Sciences. Physics, Mathematics, V46, P85

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