Minimum deviation is a concept that can refer to different things depending on the context. Here are a few interpretations: 1. **Statistics and Data Analysis**: In statistics, minimum deviation often refers to the smallest difference between observed values and a central value (like the mean or median). It's used in various statistical calculations and optimization problems to minimize the spread of data points.
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For a homogeneous optical prism in air, let its apex angle be and refractive index . A transmitted ray through both refracting faces exists only iffor a nongrazing symmetric path. At minimum deviation, both internal angles are and both external angles are . Snell's law gives
To see the feasibility condition, the internal angles sum to and each must be below the escape critical angle . The symmetric path satisfies both restrictions exactly when the displayed inequality holds. Under the ordinary transmitted-ray geometry, symmetry also minimizes the sum of the two external angles.
Measuring therefore determines at the chosen wavelength. For and , the deviation is approximately . The formula does not describe an emerging ray when the required refraction is forbidden.