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mittel
PHY
Article No. VK-PHY22

PHY22 Phase shift and resonance effects

Recording of ultrasonic signals from reflections at boundaries of different materials and analysis regarding their phase position

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Subject matter of the experiment

In the experiment, ultrasonic signals from reflections at boundaries of different materials are recorded and analysed regarding their phase position. Furthermore, the influence of thin layers upon the reflection and transmission of ultrasonic waves is investigated using λ/4 and λ/2 plates.

Keywords: Reflection, transmission, reflection coefficient, characteristic acoustic impedance, phase shift, quarter-wave (λ/4) and halfwave (λ/2) layer

Theoretical and practical aspects of the experiment

If a plane ultrasonic wave from a medium with the characteristic acoustic impedance Z1 strikes a plane boundary to a second medium with the impedance Z2, it is partially or completely reflected on this. The reflected part of the sound energy depends on the ratio of the impedances and is described by the reflection factor. The reflected wave generally also has another phase. In the case of perpendicular sound incidence, the phase change only takes two values: 0° for Z1 < Z2 and 180° for Z1 > Z2. Based on such a phase shift, the impedance ratio of two adjacent materials can be qualitatively described. Particularly interesting effects occur when sound passes through thin layers, the thicknesses of which are a quarter or a half of the sound wavelength. λ/4 layers are used e.g. as matching layers in order to minimise reflections and to transfer the largest possible share of sound energy from one medium into the other medium.

Results

The first graphic shows echo signals from an acrylic-brass and brass-acrylic boundary with perpendicular sound incidence. The characteristic acoustic impedance Z = c ρ, determined from the sound velocity c and the material density ρ, was 36.8 Mrayl for brass and 3.25 Mrayl for acrylic. The second graphic shows measurements in transmission at an acrylic cylinder. Each time, a thin aluminium plate (cL ≈ 6309 m/s) with a thickness of λ/4 (approx. 1.5 mm) and/or λ/2 (approx. 3.1 mm) was arranged between the transmitting probe and the cylinder.

Phase shifts at the boundary of brass and acrylic

Phase shifts at the boundary of brass and acrylic


Transmission signals while using lambda pates different thicknesses

Transmission signals while using lambda pates different thicknesses

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