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multipole
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Definitions of multipole in various dictionaries:
MULTIPOLE - A multipole expansion is a mathematical series representing a function that depends on anglesusually the two angles on a sphere. These series are use...
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Any of a several forms of static or oscillating distributions of charge or magnetization |
Having or involving many poles. |
A system of monopoles with no pole strength or net charge. |
Multipole might refer to |
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A Multipole expansion is a mathematical series representing a function that depends on anglesusually the two angles on a sphere. These series are useful because they can often be truncated, meaning that only the first few terms need to be retained for a good approximation to the original function. The function being expanded may be complex in general. Multipole expansions are very frequently used in the study of electromagnetic and gravitational fields, where the fields at distant points are given in terms of sources in a small region. The multipole expansion with angles is often combined with an expansion in radius. Such a combination gives an expansion describing a function throughout three-dimensional space.The multipole expansion is expressed as a sum of terms with progressively finer angular features. For example, the initial termcalled the zeroth, or monopole, momentis a constant, independent of angle. The following termthe first, or dipole, momentvaries once from positive to neg |