Uniformity or homogeneity - a property of material1), field2), or in general distribution or another parameter3) such that the given quantity can be treated as uniform or not changing over the given region or range, either universally or under certain conditions. The variations might be present, but can be treated as negligibly small as far as the practical aspects of analysis are concerned.
Conversely, a non-uniform or non-homogeneous quantity changes too significantly to be ignored.
Uniformity should not be confused with isotropy.
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From practical viewpoint, at a macroscopic level many materials can be treated as uniform. For example large volumes of alloys, pure liquids or gasses display uniform properties, even though they can be anisotropic.
Similar applies to intermediate levels, for structures either built all manufactured from smaller parts. Examples are shown in Fig. 2 and Fig. 3, where the structure non-uniform at a very local level, but the properties can be treated as homogeneous at the global level, due to averaging over the volume of interest.
Uniformity of magnetic field is a significant parameter in many magnetic measurements. Many magnetic phenomena are non-linear in their nature and thus reproducible measurements can be made only under well-controlled as well as uniform excitation conditions.
For example, several magnetic measurement standards IEC 60404 require that the sample is magnetised in an uniform way.4)5)6) Only then the required level of reproducibility can be attained between various apparatus and laboratories. The uniformity of magnetic field is such systems is achieved by an appropriate design of the sample under test and the magnetising yoke.