A software tool for calculating the relative amplitude of ultrasonic waves at boundaries

Philip Picton, Stefan Kaczmarczyk

Research output: Contribution to Book/Report typesConference contribution

Abstract

Whenever an ultrasonic wave encounters a boundary between two media it is partially re-flected and refracted, as any acoustic wave would be. Unlike light, the wave also undergoes mode conversion so that in the general case a single incident wave could produce two reflected waves and two refracted waves. The angles which define the path of the wave are determined by Snell’s law and are easily calculated. The relative amplitudes, on the other hand, require quite complicated formula when the angle of incidence is anything other than 0 degrees. This problem gets compounded when the angle of the incident wave goes beyond the first critical angle. At this point the angle of the refracted wave becomes imaginary and the equations to calculate the relative amplitudes become complex. This paper describes a tool that has been developed, using a spreadsheet, which performs the calculations for all incident angles. The user selects the media and the type of incident wave and the resulting waves are shown graphically as well as numerically. The tool was developed primarily as part of an undergraduate course on ultrasonic testing, but could be used more widely
Original languageEnglish
Title of host publicationProceedings of the 18th International Congress on Sound and Vibration
Editors Malcolm J Crocker, Marek Pawelczyk, Nickolay Ivanov
Place of PublicationRio de Janeiro, Brazil
PublisherCurran Associates Inc
Pages2263-2270
Number of pages8
ISBN (Print)9781618392596
Publication statusPublished - 10 Jul 2011

Fingerprint

software development tools
ultrasonic radiation
refracted waves
Snells law
spreadsheets
reflected waves
encounters
incidence
ultrasonics
acoustics

Keywords

  • Software tool
  • Ultrasonic waves
  • Sound
  • Vibration

Cite this

Picton, P., & Kaczmarczyk, S. (2011). A software tool for calculating the relative amplitude of ultrasonic waves at boundaries. In M. J. Crocker, M. Pawelczyk, & N. Ivanov (Eds.), Proceedings of the 18th International Congress on Sound and Vibration (pp. 2263-2270). Rio de Janeiro, Brazil: Curran Associates Inc.
Picton, Philip ; Kaczmarczyk, Stefan. / A software tool for calculating the relative amplitude of ultrasonic waves at boundaries. Proceedings of the 18th International Congress on Sound and Vibration. editor / Malcolm J Crocker ; Marek Pawelczyk ; Nickolay Ivanov. Rio de Janeiro, Brazil : Curran Associates Inc, 2011. pp. 2263-2270
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Picton, P & Kaczmarczyk, S 2011, A software tool for calculating the relative amplitude of ultrasonic waves at boundaries. in MJ Crocker, M Pawelczyk & N Ivanov (eds), Proceedings of the 18th International Congress on Sound and Vibration. Curran Associates Inc, Rio de Janeiro, Brazil, pp. 2263-2270.

A software tool for calculating the relative amplitude of ultrasonic waves at boundaries. / Picton, Philip; Kaczmarczyk, Stefan.

Proceedings of the 18th International Congress on Sound and Vibration. ed. / Malcolm J Crocker; Marek Pawelczyk; Nickolay Ivanov. Rio de Janeiro, Brazil : Curran Associates Inc, 2011. p. 2263-2270.

Research output: Contribution to Book/Report typesConference contribution

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N2 - Whenever an ultrasonic wave encounters a boundary between two media it is partially re-flected and refracted, as any acoustic wave would be. Unlike light, the wave also undergoes mode conversion so that in the general case a single incident wave could produce two reflected waves and two refracted waves. The angles which define the path of the wave are determined by Snell’s law and are easily calculated. The relative amplitudes, on the other hand, require quite complicated formula when the angle of incidence is anything other than 0 degrees. This problem gets compounded when the angle of the incident wave goes beyond the first critical angle. At this point the angle of the refracted wave becomes imaginary and the equations to calculate the relative amplitudes become complex. This paper describes a tool that has been developed, using a spreadsheet, which performs the calculations for all incident angles. The user selects the media and the type of incident wave and the resulting waves are shown graphically as well as numerically. The tool was developed primarily as part of an undergraduate course on ultrasonic testing, but could be used more widely

AB - Whenever an ultrasonic wave encounters a boundary between two media it is partially re-flected and refracted, as any acoustic wave would be. Unlike light, the wave also undergoes mode conversion so that in the general case a single incident wave could produce two reflected waves and two refracted waves. The angles which define the path of the wave are determined by Snell’s law and are easily calculated. The relative amplitudes, on the other hand, require quite complicated formula when the angle of incidence is anything other than 0 degrees. This problem gets compounded when the angle of the incident wave goes beyond the first critical angle. At this point the angle of the refracted wave becomes imaginary and the equations to calculate the relative amplitudes become complex. This paper describes a tool that has been developed, using a spreadsheet, which performs the calculations for all incident angles. The user selects the media and the type of incident wave and the resulting waves are shown graphically as well as numerically. The tool was developed primarily as part of an undergraduate course on ultrasonic testing, but could be used more widely

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Picton P, Kaczmarczyk S. A software tool for calculating the relative amplitude of ultrasonic waves at boundaries. In Crocker MJ, Pawelczyk M, Ivanov N, editors, Proceedings of the 18th International Congress on Sound and Vibration. Rio de Janeiro, Brazil: Curran Associates Inc. 2011. p. 2263-2270