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Models of the formation of ultrasonic signals in image reconstruction problems

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Abstract

Theoretical concepts of the formation in articles of ultrasonic signals that are used in image reconstruction algorithms are considered. The approximations and limitations of these models are analyzed.

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REFERENCES

  1. Ushakov, V.M. and Danilov, V.N., The Formation of Directional Diagrams of Transducers with Nonuniform Pressure Distribution through Emitting Surface of Piezoplates, Defektoskopiya, 1997, no. 5, pp. 14–26.

  2. Danilov, V.N. and Ermolov, I.N., Estimating the Length of the Near Zone of a Rectangular Transducer, Defektoskopiya, 2003, no. 5, pp. 3–8 [Rus. J. of Nondestructive Testing (Engl. Transl.), 2003, vol. 39, no. 5, p. 333].

  3. Danilov, V.N. and Samokrutov, A.A., Simulation of Operation of Dry Point Contact Probes in the Emission Regime, Defektoskopiya, 2003, no. 8, pp. 11–23 [Rus. J. of Nondestructive Testing (Engl. Trans.), 2003, vol. 39, no. 8, p. 577].

  4. Lax, P.D., Phillips, R.S., Scattering Theory, New York: Academic, 1967. Translated under the title Teoriya rasseyaniya, Birman, M.Sh., Ed., Moscow: Mir, 1971.

    Google Scholar 

  5. Reed, M. and Simon, B., Methods of Modern Mathematical Physics. Vol. 3: Scattering Theory, New York: Academic, 1978. Translated under the title Metody sovremennoi matematicheskoi fiziki. T. 3: Teoriya rasseyaniya, Moscow: Mir, 1982.

    Google Scholar 

  6. Reed, M. and Simon, B., Methods of Modern Mathematical Physics. Vol. 4: Analysis of Operators, New York: Academic, 1979. Translated under the title Metody sovremennoi matematicheskoi fiziki. T. 4: Analiz operatorov, Moscow: Mir, 1982.

    Google Scholar 

  7. Barkhatov, V.A., Development of Methods of Ultrasonic Nondestructive Testing of Welded Joints, Defektoskopiya, 2003, no. 1, pp. 28–55 [Rus. J. of Nondestructive Testing (Engl. Transl.), 2003, vol. 39, no. 1, p. 23].

  8. Physics of Imaging in Medicine (In Two Volumes), Webb, S., Ed. Translated under the title Fizika vizulaizatsii izobrazhenii v meditsine, Moscow: Mir, 1991.

  9. Corl, P.D., Kino, G.S., DeSilets, C.S., and Grant, P.M., A Digital Synthetic Focus Acoustic Imaging System, Vol. 8: Acoustical Imaging, Metherell, A.F., Ed., New York: Plenum, 1980.

    Google Scholar 

  10. Elbern, A.W. and Guimarres, L., Synthetic Aperture Focusing Technique for Image Restoration, NDTnet, 2000, vol. 5, no.8.

  11. Doctor, DSP, Hall, S.R., and Reid, T.E., SAFT L.D. The Evolution of Signal Processing for Ultrasonic Testing, NDT Int., 1986, vol. 19, no.3.

  12. Hall, T.E., Reid, L.D., and Doctor, S.R., SAFT-UT (Synthetic Aperture Focusing Technique for Ultrasonic Testing) Real-Time Inspection System. Operational Principles and Implementation, 1988.

  13. Williams, E.G. and Maynard, J.D., Numerical Evaluation of the Rayleigh Integral for Planar Radiators Using the FFT, J. Acoust. Soc. Amer., 1982, vol. 72, pp. 2020–2030.

    Google Scholar 

  14. Schmitz, V., Kroning, M., and Langenberg, K.J., Modeling and Visualization of Ultrasonic Testing Situations, in Proc. of 12th Inter. Conf. and Exhibits on VDE in the Nuclear and Pressure Vessel Industries, Philadelphia/Pennsylvania, USA, October 11–13, 1993.

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Authors and Affiliations

  1. Institute of Metal Physics, Ural Division, Russian Academy of Sciences, ul. Sofii Kovalevskoi 18, 620219, Yekaterinburg, Russia

    V. A. Barkhatov

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  1. V. A. Barkhatov
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Translated from Defektoskopiya, Vol. 41, No. 1, 2005, pp. 10–19.

Original Russian Text Copyright © 2005 by Barkhatov.

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Barkhatov, V.A. Models of the formation of ultrasonic signals in image reconstruction problems. Russ J Nondestruct Test 41, 7–13 (2005). https://doi.org/10.1007/s11181-005-0120-y

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  • DOI: https://doi.org/10.1007/s11181-005-0120-y

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