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searching for Multipole expansion 13 found (57 total)

Electromagnetic wave equation (3,099 words) [view diff] exact match in snippet view article find links to article

therefore require additional restrictions on the coefficients. The multipole expansion circumvents this difficulty by expanding not E or B, but r ⋅ E or

SAM1 (313 words) [view diff] exact match in snippet view article find links to article

contracted Gaussian functions, as opposed to the previously used multipole expansion. Note that the NDDO approximation is still in effect, and that only

Mixed-order Ambisonics (732 words) [view diff] exact match in snippet view article find links to article

was first invented in the 1970s. When dealing with subsets of the multipole expansion, the base ordering of the components (according to whatever ordering

Water model (3,376 words) [view diff] case mismatch in snippet view article find links to article

of the underlying electrostatics, e.g., the SCME (Single Center Multipole Expansion) model The computational cost of a water simulation increases with

Quantum cylindrical quadrupole (701 words) [view diff] case mismatch in snippet view article find links to article

characteristic values are seen in this case. Cylindrical multipole moments MULTIPOLE EXPANSION The nonvanishing coefficients of the dipole moment expansion in axially

Yuen Tze Lo (953 words) [view diff] exact match in snippet view article find links to article

(May 1971). "Multiple scattering of EM waves by spheres part I--Multipole expansion and ray-optical solutions". IEEE Transactions on Antennas and Propagation

Bessel beam (2,110 words) [view diff] exact match in snippet view article find links to article

2011.02.001. Gong, Z.; Marston, P. L.; Li, W.; Chai, Y. (2017). "Multipole expansion of acoustical Bessel beams with arbitrary order and location". The

N-body simulation (4,095 words) [view diff] exact match in snippet view article find links to article

centered at the distant cell's center of mass (or as a low-order multipole expansion). This can dramatically reduce the number of particle pair interactions

Hierarchical matrix (2,149 words) [view diff] exact match in snippet view article find links to article

variables x {\displaystyle x} and y {\displaystyle y} , e.g., the multipole expansion, would also allow us to split the double integral into two single

Giorgio Benedek (1,208 words) [view diff] no match in snippet view article find links to article

Chakram S. Jayanthi, Winfried Kress and Heinz Bilz developed the multipole-expansion model (also termed pseudo-charge model) for the analysis of surface

Bessel function (11,225 words) [view diff] exact match in snippet view article find links to article

problems involving spherical wave propagation, for example in the multipole expansion of the electromagnetic field. Riccati–Bessel functions only slightly

Chebyshev polynomials (11,368 words) [view diff] exact match in snippet view article find links to article

generating function relevant for 2-dimensional potential theory and multipole expansion is: ∑ n = 1 ∞ T n ( x ) t n n = ln ⁡ ( 1 1 − 2 t x + t 2 ) . {\displaystyle

Ambisonic data exchange formats (2,924 words) [view diff] exact match in snippet view article find links to article

harmonics. Since it is possible to omit parts of the spherical harmonic multipole expansion for content that has non-uniform, direction-dependent resolution