Abramowitz, M. and Stegun, E. A., 1964. Handbook of Mathematical Functions. National Bureau of Standards, US Government Printing Office, Washington DC

Achenbach, J. D., 1973. Wave Propagation in Elastic Solids. Elsevier Science, Amsterdam

Achenbach, J. D., 1998. Lamb waves as thickness vibrations superimposed on a membrane carrier wave, J. Acoust. Soc. Am. 103, 2283–2285CrossRefGoogle Scholar

Achenbach, J. D., 2000. Calculation of surface wave motions due to a subsurface point force: an application of elastodynamic reciprocity, J. Acoust. Soc. Am. 107, 1892–1897CrossRefGoogle ScholarPubMed

Achenbach, J. D. and Kitahara, M., 1986. Reflection and transmission of an obliquely incident wave by an array of spherical cavities, J. Acoust. Soc. Am. 80, 1209–1214CrossRefGoogle Scholar

Achenbach, J. D. and Xu, X., 1999a. Wave motion in an isotropic elastic layer generated by a time-harmonic point load of arbitrary direction, J. Acoust. Soc. Am. 106, 83–90CrossRefGoogle Scholar

Achenbach, J. D. and Xu, X., 1999b. Use of elastodynamic reciprocity to analyze point-load generated axisymmetric waves in a plate, Wave Motion 30, 57–68CrossRefGoogle Scholar

Achenbach, J. D., Gautesen, A. K. and McMaken, H., 1982. Ray Methods for Waves in Elastic Solids. Pitman Advanced Publishing Program, Boston, Massachusetts

Achenbach, J. D., Kitahara, M., Mikata, Y. and Sotiropoulos, D. A., 1988. Reflection and transmission of plane waves by a layer of compact inhomogeneities, PAGEOPH 128, 101–118CrossRefGoogle Scholar

Angel, Y. C., and Achenbach, J. D., 1985. Reflection and transmission of elastic waves by a periodic array of cracks, Wave Motion 7, 375–397CrossRefGoogle Scholar

Auld, B. A., 1973. Acoustic Fields and Waves in Solids, Vols. I and II. Reprinted R. E. Krieger Publ. Co. 1990, Malabar, Florida

Auld, B. A., 1979. General electromechanical reciprocity relations applied to the calculation of elastic wave scattering coefficients, Wave Motion 1, 3–10CrossRefGoogle Scholar

Banerjee, P. K. and Kobayashi, S. (eds.), 1992. Advanced Dynamic Analysis by Boundary Element Methods. Elsevier Applied Science, London and New York

Belousov, Y. I. and Rimskii-Korsakov, A. V., 1975. The reciprocity principle in acoustics and its applications to the sound fields of bodies, Sov. Physics – Acoustics 21, 103–109Google Scholar

Beskos, D. E., 1987. Boundary element methods in dynamic analysis, Appl. Mech. Rev. 40, 1–23CrossRefGoogle Scholar

Betti, E., 1872. Teori della elasticita, Il Nuove Ciemento (Series 2), 7–10

Bleistein, N., 1984. Mathematical Methods of Wave Phenomena. Academic Press, Orlando, Florida

Block, G., Harris, J. G. and Hayat, T., 2000. Measurement models for ultrasonic nondestructive evaluation, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control 47, 604–611CrossRefGoogle ScholarPubMed

Blok, H. and Zeylmans, M. C. S., 1987. Reciprocity and the formulation of inverse profiling problems, Radio Science 22, 1137–1147CrossRefGoogle Scholar

Bonnet, M., 1995. Boundary Integral Equation Methods for Solids and Fluids. John Wiley and Sons, New York

Burridge, R. and Knopoff, L., 1964. Body force equivalents for seismic dislocations, Bull. Seismol. Soc. Am. 54, 1875–1888Google Scholar

Chao, C. C., 1960, Dynamical response of an elastic half-space to tangential surface loadings, J. Appl. Mech. 27, 559–567CrossRefGoogle Scholar

Chimenti, D. E., 1997. Guided waves in plates and their use in materials characterization, Appl. Mech. Rev. 50, 247–284CrossRefGoogle Scholar

Christensen, R. M., 1972. Theory of Viscoelasticity – An Introduction. Academic Press, New York

Cohen, J. K. and Bleistein, N., 1977. An inverse method for determining small variations in propagation speed, SIAM J. Appl. Math. 32, 784–799CrossRefGoogle Scholar

Collin, R. E., 1960. Field Theory of Guided Waves. Reprinted IEEE Press 1991, New York

Courant, R. and Hilbert, D., 1962. Methods of Mathematical Physics Vol. II. Interscience Publishers, New York

Cremer, L., Heckl, M. and Ungar, E. E., 1973. Structure-borne Sound. Springer-Verlag, New York

Crighton, D. G., Dowling, A. P., Ffowcs Williams, J. E., Heckl, M. and Leppington, F. G., 1992. Modern Methods in Analytical Acoustics. Springer-Verlag, London

d'Alembert, J.-le-Rond, 1747. Investigation of the curve formed by a vibrating string (transl.). In Lindsay R. B. (ed.), 1972, Acoustics: Historical and Philosophical Development, Dowden, Hutchinson and Ross, Stroudsbury, Pennsylvania, 119–130

de Hoop, A. T., 1995. Handbook of Radiation and Scattering of Waves. Academic Press, London

DiMaggio, F. L. and Bleich, H. H., 1959. An application of a dynamic reciprocal theorem. J. Appl. Mech. 26, 678–679Google Scholar

Dowling, A. P. and Ffowcs Williams, J. E., 1983. Sound and Sources of Sound. Ellis Horwood, Chichester, UK

Eringen, A. C. and Suhubi, E. S., 1975. Elastodynamics, Vol. II, Linear Theory. Academic Press, New York

Ewing, W. M., Jardetzky, W. S. and Press, F., 1957. Elastic Waves in Layered Media. McGraw-Hill, New York

Fahy, F., 1985. Sound and Structural Vibration. Academic Press, London

Fokkema, J. T. and van den Berg, P. M., 1993. Seismic Applications of Acoustic Reciprocity. Elsevier Science, Amsterdam

Foldy, L. L. and Primakoff, H., 1945. A general theory of passive linear electroacoustic transducers and the electroacoustic reciprocity theorem I, J. Acoust. Soc. Am. 17, 109–120CrossRefGoogle Scholar

Graff, K. F., 1975. Wave Motion in Elastic Solids. Ohio State University Press, Columbus, Ohio

Graffi, D., 1946. Sul teorema di reciprocita nella dinamica dei corpi elastici, Mem. Acad. Sci. Bologna 10, 103–111Google Scholar

Gubernatis, J. E., Domany, E., Krumhansl, J. A., and Huberman, M., 1977. The Born approximation in the theory of the scattering of elastic waves by flaws, J. Appl. Phys. 48, 2804–2811, 2812–2819CrossRefGoogle Scholar

Harris, J. G., 2001. Linear Elastic Waves. Cambridge University Press, Cambridge

Jones, D. S., 1986. Acoustic and Electromagnetic Waves. Clarendon Press, Oxford

Junger, M. C. and Feit, F., 1972. Sound, Structures and Their Interaction. MIT Press, Cambridge, Massachusetts

Keller, J. B. and Karal, F. C. Jr., 1964. Geometrical theory of elastic surface-wave excitation and propagation, J. Acoust. Soc. Am. 36, 32–40CrossRefGoogle Scholar

Kino, G. S., 1978. The application of reciprocity theory to scattering of acoustic waves by flaws, J. Appl. Phys. 49, 3190–3199CrossRefGoogle Scholar

Knopoff, L. and Gangi, A. F., 1959. Seismic reciprocity, Geophysics 24, 681–691CrossRefGoogle Scholar

Kobayashi, S., 1987. Elastodynamics. In Computational Methods in Mechanics (ed. D. E. Beskos), Handbooks in Mechanics and Mathematical Methods Vol. 3, North-Holland, Amsterdam

Kupradze, V. D., 1963. Dynamical Problems in Elasticity. In Progress in Solid Mechanics Vol. 3 (eds. I. N. Sneddon and R. Hill). North-Holland, Amsterdam

Lamb, H., 1888. On reciprocal theorems in dynamics, Proc London Math. Soc. 19, 144–151Google Scholar

Lamb, H., 1904. On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Roy. Soc. LondonA 203, 1–42CrossRefGoogle Scholar

Lamb, H., 1917. Waves in an elastic plate, Proc. Roy. Soc. LondonA 93, 114–128CrossRefGoogle Scholar

Liang, K. K., Kino, G. S. and Khuri-Yakub, B. T., 1985. Material characterization by the inversion of V(z), IEEE Trans. Son. Ultrason. 32, 266–273CrossRefGoogle Scholar

Love, A. E. H., 1892. A Treatise on the Mathematical Theory of Elasticity. Dover, New York, 1944

Love, A. E. H., 1911. Some Problems of Geodynamics. Dover, New York, 1967

Lyamshev, L. M., 1959. A method for solving the problem of sound radiation by thin elastic plates and shells, Sov. Physics – Acoustics 5, 122–123Google Scholar

Lyon, R. H., 1955. Response of an elastic plate to localized driving force, J. Acoust. Soc. Am. 27, 259–265CrossRefGoogle Scholar

Mal, A. K. and Knopoff, L., 1967. Elastic wave velocities in two component systems, J. Inst. Math. Applic. 3, 376–387CrossRefGoogle Scholar

Maxwell, J. C., 1864. On the calculation of the equilibrium and stiffness of frames, Phil. Mag. 27, 294CrossRefGoogle Scholar

McLachlan, N. W., 1961. Bessel Functions for Engineers. Clarendon Press, Oxford

Mikata, Y. and Achenbach, J. D., 1988. Interaction of harmonic waves with a periodic array of inclined cracks, Wave Motion 10, 59–72CrossRefGoogle Scholar

Miklowitz, J., 1962. Transient compressional waves in an infinite elastic plate or elastic layer overlying a rigid half-space, J. Appl. Mech. 29, 53–60CrossRefGoogle Scholar

Miklowitz, J., 1978. The Theory of Elastic Waves and Waveguides. Elsevier Science, Amsterdam

Mindlin, R. D., 1960. Waves and vibrations in isotropic elastic plates. In Structural Mechanics, pp. 199–232 (eds. J. N. Goodier and N. J. Hoff), Pergamon Press, New York

Morse, P. M. and Ingard, K. U., 1968. Theoretical Acoustics. McGraw-Hill, New York

Pao, Y.-H. and Mow, C.-C., 1973. Diffraction of Elastic Waves and Dynamic Stress Concentrations. Crane Russak, New York

Payton, R. G., 1964. An application of the dynamic Betti–Rayleigh reciprocal theorem to moving-point loads in elastic media, Q. J. Appl. Math. XXI, 299–313CrossRefGoogle Scholar

Pekeris, C. L., 1955. The seismic surface pulse, Proc. Nat. Acad. Sci. USA 41, 469–480CrossRefGoogle ScholarPubMed

Pierce, A. D., 1981. Acoustics: An Introduction to its Physical Principles and Applications. Acoustic Society of America, Woodbury, New York

Primakoff, H. and Foldy, L. L., 1947. A general theory of passive linear electroacoustic transducers and the electroacoustic reciprocity theorem II, J. Acoust. Soc. Am. 19, 50–120CrossRefGoogle Scholar

Rayleigh, Lord, 1873. Some general theorems relating to vibrations, Proc. London Math. Soc. 4, 357–368Google Scholar

Rayleigh, Lord, 1877. The Theory of Sound, Vol. II. Dover reprint, Dover Publications, New York, 1945

Rayleigh, Lord, 1887. On waves propagated along the plane surface of an elastic solid, Proc. London Math. Soc. 17, 4–11Google Scholar

Santosa, F. and Pao, Y.-H., 1989. Transient axially asymmetric response of an elastic plate, Wave Motion 11, 271–296CrossRefGoogle Scholar

Schenk, H. A., 1968. Improved integral formulations for acoustic radiation problems, J. Acoust. Soc. Am. 44, 41–58CrossRefGoogle Scholar

Stokes, G. G., 1849. On the dynamical theory of diffraction, Trans. Cambridge Phil. Soc. 9, 1Google Scholar

Tan, T. H., 1977. Reciprocity relations for scattering of plane elastic waves, J. Acoust. Soc. Am. 61, 928CrossRefGoogle Scholar

Thompson, R. B., 1994. Interpretation of Auld's electromechanical reciprocity relation via a one-dimensional example, Res. Nondestr. Ev. 5, 147–156CrossRefGoogle Scholar

Vasudevan, N. and Mal, A. K., 1985. Response of an elastic plate to localized transient sources, J. Appl. Mech. 52, 356–362CrossRefGoogle Scholar

Helmholtz, H. L., 1860. Theory des Luftschalls in Rohren mit offenen Enden, Borchardt-Crelle's J. 57, 1–70Google Scholar

Helmholtz, H. L., 1886. Ueber die physikalische Bedeutung des Princips der kleinsten Wirkung, Borchardt-Crelle's J. 100, 137–166, 213–222Google Scholar

Weaver, R. L. and Pao, Y.-H., 1982. Axisymmetric elastic waves excited by a point source in a plate, J. Appl. Mech. 49, 821–836CrossRefGoogle Scholar

Weston, V. H., 1984. Multifrequency inverse problem for the reduced wave equation with sparse data, J. Math. Phys. 25, 1382–1390CrossRefGoogle Scholar

Zhang, Ch. and Gross, D., 1998. On Wave Propagation in Elastic Solids with Cracks. Computational Mechanics Publications, Southampton, UK

Zhang, M. and Achenbach, J. D., 1999. Simulation of self-focusing by an array on a crack in an immersed specimen, Ultrasonics 37, 9–18CrossRefGoogle Scholar

Abramowitz, M. and Stegun, E. A., 1964. Handbook of Mathematical Functions. National Bureau of Standards, US Government Printing Office, Washington DC

Achenbach, J. D., 1973. Wave Propagation in Elastic Solids. Elsevier Science, Amsterdam

Achenbach, J. D., 1998. Lamb waves as thickness vibrations superimposed on a membrane carrier wave, J. Acoust. Soc. Am. 103, 2283–2285CrossRefGoogle Scholar

Achenbach, J. D., 2000. Calculation of surface wave motions due to a subsurface point force: an application of elastodynamic reciprocity, J. Acoust. Soc. Am. 107, 1892–1897CrossRefGoogle ScholarPubMed

Achenbach, J. D. and Kitahara, M., 1986. Reflection and transmission of an obliquely incident wave by an array of spherical cavities, J. Acoust. Soc. Am. 80, 1209–1214CrossRefGoogle Scholar

Achenbach, J. D. and Xu, X., 1999a. Wave motion in an isotropic elastic layer generated by a time-harmonic point load of arbitrary direction, J. Acoust. Soc. Am. 106, 83–90CrossRefGoogle Scholar

Achenbach, J. D. and Xu, X., 1999b. Use of elastodynamic reciprocity to analyze point-load generated axisymmetric waves in a plate, Wave Motion 30, 57–68CrossRefGoogle Scholar

Achenbach, J. D., Gautesen, A. K. and McMaken, H., 1982. Ray Methods for Waves in Elastic Solids. Pitman Advanced Publishing Program, Boston, Massachusetts

Achenbach, J. D., Kitahara, M., Mikata, Y. and Sotiropoulos, D. A., 1988. Reflection and transmission of plane waves by a layer of compact inhomogeneities, PAGEOPH 128, 101–118CrossRefGoogle Scholar

Angel, Y. C., and Achenbach, J. D., 1985. Reflection and transmission of elastic waves by a periodic array of cracks, Wave Motion 7, 375–397CrossRefGoogle Scholar

Auld, B. A., 1973. Acoustic Fields and Waves in Solids, Vols. I and II. Reprinted R. E. Krieger Publ. Co. 1990, Malabar, Florida

Auld, B. A., 1979. General electromechanical reciprocity relations applied to the calculation of elastic wave scattering coefficients, Wave Motion 1, 3–10CrossRefGoogle Scholar

Banerjee, P. K. and Kobayashi, S. (eds.), 1992. Advanced Dynamic Analysis by Boundary Element Methods. Elsevier Applied Science, London and New York

Belousov, Y. I. and Rimskii-Korsakov, A. V., 1975. The reciprocity principle in acoustics and its applications to the sound fields of bodies, Sov. Physics – Acoustics 21, 103–109Google Scholar

Beskos, D. E., 1987. Boundary element methods in dynamic analysis, Appl. Mech. Rev. 40, 1–23CrossRefGoogle Scholar

Betti, E., 1872. Teori della elasticita, Il Nuove Ciemento (Series 2), 7–10

Bleistein, N., 1984. Mathematical Methods of Wave Phenomena. Academic Press, Orlando, Florida

Block, G., Harris, J. G. and Hayat, T., 2000. Measurement models for ultrasonic nondestructive evaluation, IEEE Trans. Ultrasonics, Ferroelectrics and Frequency Control 47, 604–611CrossRefGoogle ScholarPubMed

Blok, H. and Zeylmans, M. C. S., 1987. Reciprocity and the formulation of inverse profiling problems, Radio Science 22, 1137–1147CrossRefGoogle Scholar

Bonnet, M., 1995. Boundary Integral Equation Methods for Solids and Fluids. John Wiley and Sons, New York

Burridge, R. and Knopoff, L., 1964. Body force equivalents for seismic dislocations, Bull. Seismol. Soc. Am. 54, 1875–1888Google Scholar

Chao, C. C., 1960, Dynamical response of an elastic half-space to tangential surface loadings, J. Appl. Mech. 27, 559–567CrossRefGoogle Scholar

Chimenti, D. E., 1997. Guided waves in plates and their use in materials characterization, Appl. Mech. Rev. 50, 247–284CrossRefGoogle Scholar

Christensen, R. M., 1972. Theory of Viscoelasticity – An Introduction. Academic Press, New York

Cohen, J. K. and Bleistein, N., 1977. An inverse method for determining small variations in propagation speed, SIAM J. Appl. Math. 32, 784–799CrossRefGoogle Scholar

Collin, R. E., 1960. Field Theory of Guided Waves. Reprinted IEEE Press 1991, New York

Courant, R. and Hilbert, D., 1962. Methods of Mathematical Physics Vol. II. Interscience Publishers, New York

Cremer, L., Heckl, M. and Ungar, E. E., 1973. Structure-borne Sound. Springer-Verlag, New York

Crighton, D. G., Dowling, A. P., Ffowcs Williams, J. E., Heckl, M. and Leppington, F. G., 1992. Modern Methods in Analytical Acoustics. Springer-Verlag, London

d'Alembert, J.-le-Rond, 1747. Investigation of the curve formed by a vibrating string (transl.). In Lindsay R. B. (ed.), 1972, Acoustics: Historical and Philosophical Development, Dowden, Hutchinson and Ross, Stroudsbury, Pennsylvania, 119–130

de Hoop, A. T., 1995. Handbook of Radiation and Scattering of Waves. Academic Press, London

DiMaggio, F. L. and Bleich, H. H., 1959. An application of a dynamic reciprocal theorem. J. Appl. Mech. 26, 678–679Google Scholar

Dowling, A. P. and Ffowcs Williams, J. E., 1983. Sound and Sources of Sound. Ellis Horwood, Chichester, UK

Eringen, A. C. and Suhubi, E. S., 1975. Elastodynamics, Vol. II, Linear Theory. Academic Press, New York

Ewing, W. M., Jardetzky, W. S. and Press, F., 1957. Elastic Waves in Layered Media. McGraw-Hill, New York

Fahy, F., 1985. Sound and Structural Vibration. Academic Press, London

Fokkema, J. T. and van den Berg, P. M., 1993. Seismic Applications of Acoustic Reciprocity. Elsevier Science, Amsterdam

Foldy, L. L. and Primakoff, H., 1945. A general theory of passive linear electroacoustic transducers and the electroacoustic reciprocity theorem I, J. Acoust. Soc. Am. 17, 109–120CrossRefGoogle Scholar

Graff, K. F., 1975. Wave Motion in Elastic Solids. Ohio State University Press, Columbus, Ohio

Graffi, D., 1946. Sul teorema di reciprocita nella dinamica dei corpi elastici, Mem. Acad. Sci. Bologna 10, 103–111Google Scholar

Gubernatis, J. E., Domany, E., Krumhansl, J. A., and Huberman, M., 1977. The Born approximation in the theory of the scattering of elastic waves by flaws, J. Appl. Phys. 48, 2804–2811, 2812–2819CrossRefGoogle Scholar

Harris, J. G., 2001. Linear Elastic Waves. Cambridge University Press, Cambridge

Jones, D. S., 1986. Acoustic and Electromagnetic Waves. Clarendon Press, Oxford

Junger, M. C. and Feit, F., 1972. Sound, Structures and Their Interaction. MIT Press, Cambridge, Massachusetts

Keller, J. B. and Karal, F. C. Jr., 1964. Geometrical theory of elastic surface-wave excitation and propagation, J. Acoust. Soc. Am. 36, 32–40CrossRefGoogle Scholar

Kino, G. S., 1978. The application of reciprocity theory to scattering of acoustic waves by flaws, J. Appl. Phys. 49, 3190–3199CrossRefGoogle Scholar

Knopoff, L. and Gangi, A. F., 1959. Seismic reciprocity, Geophysics 24, 681–691CrossRefGoogle Scholar

Kobayashi, S., 1987. Elastodynamics. In Computational Methods in Mechanics (ed. D. E. Beskos), Handbooks in Mechanics and Mathematical Methods Vol. 3, North-Holland, Amsterdam

Kupradze, V. D., 1963. Dynamical Problems in Elasticity. In Progress in Solid Mechanics Vol. 3 (eds. I. N. Sneddon and R. Hill). North-Holland, Amsterdam

Lamb, H., 1888. On reciprocal theorems in dynamics, Proc London Math. Soc. 19, 144–151Google Scholar

Lamb, H., 1904. On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Roy. Soc. LondonA 203, 1–42CrossRefGoogle Scholar

Lamb, H., 1917. Waves in an elastic plate, Proc. Roy. Soc. LondonA 93, 114–128CrossRefGoogle Scholar

Liang, K. K., Kino, G. S. and Khuri-Yakub, B. T., 1985. Material characterization by the inversion of V(z), IEEE Trans. Son. Ultrason. 32, 266–273CrossRefGoogle Scholar

Love, A. E. H., 1892. A Treatise on the Mathematical Theory of Elasticity. Dover, New York, 1944

Love, A. E. H., 1911. Some Problems of Geodynamics. Dover, New York, 1967

Lyamshev, L. M., 1959. A method for solving the problem of sound radiation by thin elastic plates and shells, Sov. Physics – Acoustics 5, 122–123Google Scholar

Lyon, R. H., 1955. Response of an elastic plate to localized driving force, J. Acoust. Soc. Am. 27, 259–265CrossRefGoogle Scholar

Mal, A. K. and Knopoff, L., 1967. Elastic wave velocities in two component systems, J. Inst. Math. Applic. 3, 376–387CrossRefGoogle Scholar

Maxwell, J. C., 1864. On the calculation of the equilibrium and stiffness of frames, Phil. Mag. 27, 294CrossRefGoogle Scholar

McLachlan, N. W., 1961. Bessel Functions for Engineers. Clarendon Press, Oxford

Mikata, Y. and Achenbach, J. D., 1988. Interaction of harmonic waves with a periodic array of inclined cracks, Wave Motion 10, 59–72CrossRefGoogle Scholar

Miklowitz, J., 1962. Transient compressional waves in an infinite elastic plate or elastic layer overlying a rigid half-space, J. Appl. Mech. 29, 53–60CrossRefGoogle Scholar

Miklowitz, J., 1978. The Theory of Elastic Waves and Waveguides. Elsevier Science, Amsterdam

Mindlin, R. D., 1960. Waves and vibrations in isotropic elastic plates. In Structural Mechanics, pp. 199–232 (eds. J. N. Goodier and N. J. Hoff), Pergamon Press, New York

Morse, P. M. and Ingard, K. U., 1968. Theoretical Acoustics. McGraw-Hill, New York

Pao, Y.-H. and Mow, C.-C., 1973. Diffraction of Elastic Waves and Dynamic Stress Concentrations. Crane Russak, New York

Payton, R. G., 1964. An application of the dynamic Betti–Rayleigh reciprocal theorem to moving-point loads in elastic media, Q. J. Appl. Math. XXI, 299–313CrossRefGoogle Scholar

Pekeris, C. L., 1955. The seismic surface pulse, Proc. Nat. Acad. Sci. USA 41, 469–480CrossRefGoogle ScholarPubMed

Pierce, A. D., 1981. Acoustics: An Introduction to its Physical Principles and Applications. Acoustic Society of America, Woodbury, New York

Primakoff, H. and Foldy, L. L., 1947. A general theory of passive linear electroacoustic transducers and the electroacoustic reciprocity theorem II, J. Acoust. Soc. Am. 19, 50–120CrossRefGoogle Scholar

Rayleigh, Lord, 1873. Some general theorems relating to vibrations, Proc. London Math. Soc. 4, 357–368Google Scholar

Rayleigh, Lord, 1877. The Theory of Sound, Vol. II. Dover reprint, Dover Publications, New York, 1945

Rayleigh, Lord, 1887. On waves propagated along the plane surface of an elastic solid, Proc. London Math. Soc. 17, 4–11Google Scholar

Santosa, F. and Pao, Y.-H., 1989. Transient axially asymmetric response of an elastic plate, Wave Motion 11, 271–296CrossRefGoogle Scholar

Schenk, H. A., 1968. Improved integral formulations for acoustic radiation problems, J. Acoust. Soc. Am. 44, 41–58CrossRefGoogle Scholar

Stokes, G. G., 1849. On the dynamical theory of diffraction, Trans. Cambridge Phil. Soc. 9, 1Google Scholar

Tan, T. H., 1977. Reciprocity relations for scattering of plane elastic waves, J. Acoust. Soc. Am. 61, 928CrossRefGoogle Scholar

Thompson, R. B., 1994. Interpretation of Auld's electromechanical reciprocity relation via a one-dimensional example, Res. Nondestr. Ev. 5, 147–156CrossRefGoogle Scholar

Vasudevan, N. and Mal, A. K., 1985. Response of an elastic plate to localized transient sources, J. Appl. Mech. 52, 356–362CrossRefGoogle Scholar

Helmholtz, H. L., 1860. Theory des Luftschalls in Rohren mit offenen Enden, Borchardt-Crelle's J. 57, 1–70Google Scholar

Helmholtz, H. L., 1886. Ueber die physikalische Bedeutung des Princips der kleinsten Wirkung, Borchardt-Crelle's J. 100, 137–166, 213–222Google Scholar

Weaver, R. L. and Pao, Y.-H., 1982. Axisymmetric elastic waves excited by a point source in a plate, J. Appl. Mech. 49, 821–836CrossRefGoogle Scholar

Weston, V. H., 1984. Multifrequency inverse problem for the reduced wave equation with sparse data, J. Math. Phys. 25, 1382–1390CrossRefGoogle Scholar

Zhang, Ch. and Gross, D., 1998. On Wave Propagation in Elastic Solids with Cracks. Computational Mechanics Publications, Southampton, UK

Zhang, M. and Achenbach, J. D., 1999. Simulation of self-focusing by an array on a crack in an immersed specimen, Ultrasonics 37, 9–18CrossRefGoogle Scholar