Retardance

Definition: the difference in optical phase shifts between two polarization directions, e.g. for light transmitted through a sample or reflected at a surface

German: Verzögerung

Category: general optics

Author: Dr. Rüdiger Paschotta

Cite the article using its DOI: https://doi.org/10.61835/2jq

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When a light beam propagates through a birefringent medium, it experiences different changes of optical phase for the ordinary and extraordinary polarization components. The difference in those phase shifts is called retardance. It can be specified in radians (rad) or in degrees (°), alternatively in terms of wavelengths; a retardance of <$\lambda$>, for example, corresponds to <$2 \pi$> or 360°.

In optics, a retardance is often introduced by inserting a waveplate – for example, a <$\pi$> retardance with a <$\lambda /2$> plate. With a Babinet–Soleil compensator or a Berek compensator, one can obtain an adjustable amount of retardance. Generally, optical elements for introducing a controlled amount of optical retardance are called retarders.

Retardation effects also occur upon reflection at a dielectric interface with non-normal incidence; here, the retardance can be calculated with Fresnel equations.

More complicated effects occur as a result of thermally induced birefringence, for example in a laser crystal, where both the amount of retardance and the axes directions generally depend on the position within the beam profile.

Note also that the retardance is generally wavelength-dependent. For achromatic waveplates, the wavelength dependence is minimized.

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