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Acoustic impedance calculator

Find specific acoustic impedance, density or sound speed, and compare reflected and transmitted intensity at a flat boundary.

Calculator

Specific impedance (rayl)
1,480,000.00000000
Density
1,000
Sound speed
1,480

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How this calculator works

Specific impedance relates acoustic pressure to particle velocity in a travelling plane wave. Enter density and sound speed for the actual temperature and material. Interface mode assumes two lossless fluids, a flat boundary and normal incidence. Its intensity fractions account for the different impedances; pressure transmission alone is not an energy fraction.

Formula

z = rho c. At normal incidence, r = (z2-z1)/(z2+z1), R = r² and T = 4z1z2/(z1+z2)².

Worked example

Water with density 1000 kg/m3 and speed 1500 m/s has z = 1.5 million rayl. At a boundary with impedance ratio 3, 25% of incident intensity is reflected and 75% is transmitted.

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Frequently asked questions

What is one rayl?

One rayl is one pascal second per metre, equivalent to kg/(m2 s).

Can I use this for oblique incidence?

No. Refraction and, in solids, mode conversion change the reflection problem.

Why is the pressure coefficient negative?

Reflection from a lower impedance reverses the pressure phase. The reflected intensity fraction remains non-negative.

Sources

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