INTERACTIVE MODEL

Reflection at an impedance boundary

Adjust the controls, inspect the calculated response and use the reading links to place the model in its physical context.

Interactive model: Reflection at an impedance boundary. Enable JavaScript to adjust its controls.

R = [(Z₂ − Z₁)/(Z₂ + Z₁)]²; T = 1 − R

Lossless acoustic plane waves at normal incidence between two positive real impedances. The coefficients are energy fractions; pressure-amplitude transmission can exceed one without creating energy.

What this model assumes

Lossless acoustic plane waves at normal incidence between two positive real impedances. The coefficients are energy fractions; pressure-amplitude transmission can exceed one without creating energy.

How to explore it

Begin with the default values. Change one control at a time and watch both the graph and the readouts. Then reset the model and change another parameter. This isolates which input produces the effect you are seeing.

The plotted values are generated from the displayed equation. Downloading the calculated data lets you inspect the numerical series or compare it with a calculation of your own. The data are synthetic model outputs, not observations from an apparatus.

Before carrying a prediction into an experiment, match the model’s assumptions to the actual system: the relevant degrees of freedom, boundary conditions, noise, losses and measurement convention. The linked articles explain which comparison is physically meaningful.

Reflection at an impedance boundary

Calculated model curves. Lossless acoustic plane waves at normal incidence between two positive real impedances. The coefficients are energy fractions; pressure-amplitude transmission can exceed one without creating energy. Default control values are used in this fixed figure.

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CONTINUE INTO THE RESEARCH

Changing the medium