| 1. | This expansion is used to develop the normal multipole expansion.
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| 2. | This yields the " multipole EXPANSION " of the electrostatic energy.
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| 3. | You may find the mathematics of multipole expansion enlightening.
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| 4. | See near and far field and multipole expansion.
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| 5. | The multipole expansion is expressed as a sum of terms with progressively finer angular features.
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| 6. | The multipole expansion will no longer terminate, but the higher terms will be small.
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| 7. | The multipole expansion circumvents this difficulty by expanding not or, but or into spherical harmonics.
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| 8. | Mathematically, the magnetic field of an object is often described in terms of a multipole expansion.
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| 9. | Any of these terms can be present in the multipole expansion of an electric field, for example.
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| 10. | In general, the fields of a source in a medium can be written as a multipole expansion.
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