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Multipole expansion - Wikipedia
A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate system ... en.wikipedia.org
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MULTIPOLE Definition & Meaning - Merriam-Webster
The meaning of MULTIPOLE is having or involving more than one pole : multipolar. How to use multipole in a sentence. www.merriam-webster.com
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The Multipole Expansion - Physics LibreTexts
A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles on a sphere ... phys.libretexts.org
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multipole
multipole, n. and a. Physics. (ˈmʌltɪpəʊl) [f. multi- 2 + pole n.2] A. n. A system of 2{supl} monopoles (l = 1, 2, 3,{ddd}) with no net charge or pole strength and no moment of a lower order than l (cf. moment n. 8 c); the dipole (l = 1) is often treated as a special case and the quadrupole (l = 2) ... Oxford English Dictionary
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What are Multipoles? : r/AskPhysics - Reddit
Multipoles are sort of like "harmonics" but for angular distributions. You can decompose any distribution in angle into a sum of them. www.reddit.com
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Multipole - an overview | ScienceDirect Topics
A multipole in Physics and Astronomy refers to a characteristic of radiation from finite bodies at the origin, represented by sums of multipoles constructed ... www.sciencedirect.com
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Multipole density formalism
The Multipole Density Formalism (also referred to as Hansen-Coppens Formalism) is an X-ray crystallography method of electron density modelling proposed Multipole description In the multipole model description, the charge density around a nucleus is given by the following equation: The spherical part wikipedia.org
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Multipole expansions of gravitational radiation | Rev. Mod. Phys.
This paper brings together, into a single unified notation, the multipole formalisms for gravitational radiation which various people have ... link.aps.org
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Multipole analysis of meta-atoms - ScienceDirect.com
We show that these multipole moments provide a deeper understanding on how light interacts with the considered meta-atoms. After sketching the analytical ... www.sciencedirect.com
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[PDF] Today in Physics 217: multipole expansion
The monopole moment (charge) is a scalar. The dipole moment is a vector. Higher order multipole moments are represented by higher-order tensors: ... www.pas.rochester.edu
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[PDF] Multipole moments
It is important to be able to recognize and understand the properties of the first few multipole moments. They are extremely useful for ... www.physics.usu.edu
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Multipole magnet
Multipole magnets are magnets built from multiple individual magnets, typically used to control beams of charged particles. Now for an electromagnet with a cylindrical bore of radius , producing a pure multipole field of order , this integral becomes: Ampere's Law for multipole wikipedia.org
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octupole
octupole Physics. (ˈɒktuːpəʊl) Also octa-, octo-. [f. octu- (in octuple a. (n.), octuplet: cf. quadrupole), octa-, octo- + pole n.2] A multipole of order l = 3. Freq. attrib. or as adj. Cf. multipole n.1929 P. Debye Polar Molecules ii. 26 The next configuration, constructed by a displacement of the ... Oxford English Dictionary
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Multipole radiation
Multipole radiation is analyzed using similar multipole expansion techniques that describe fields from static sources, however there are important differences See near and far field and multipole expansion. wikipedia.org
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Multipole expansion
In the first (more common) case, the coefficients of the series expansion are called exterior multipole moments or simply multipole moments whereas, in The most common expansions include: Axial multipole moments of a potential; Spherical multipole moments of a potential; and Cylindrical multipole wikipedia.org
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