INTERACTIVE MODEL

Small-particle Rayleigh scattering

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

Interactive model: Small-particle Rayleigh scattering. Enable JavaScript to adjust its controls.

Cross-section scaling ∝ λ⁻⁴; angular shape ∝ 1 + cos²θ

Unpolarized light, a fixed isolated particle much smaller than every selected wavelength, and fixed optical properties. The curves show relative differential cross section in the Rayleigh limit; multiple scattering and Mie corrections are omitted.

What this model assumes

Unpolarized light, a fixed isolated particle much smaller than every selected wavelength, and fixed optical properties. The curves show relative differential cross section in the Rayleigh limit; multiple scattering and Mie corrections are omitted.

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.

Small-particle Rayleigh scattering

Calculated model curves. Unpolarized light, a fixed isolated particle much smaller than every selected wavelength, and fixed optical properties. The curves show relative differential cross section in the Rayleigh limit; multiple scattering and Mie corrections are omitted. Default control values are used in this fixed figure.

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Scattering