spherical indicatrix - перевод на русский
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spherical indicatrix - перевод на русский

Uniaxial indicatrix; Optical indicatrix; Uniaxial Indicatrix; Uniaxial; Biaxial

spherical indicatrix      

математика

сферическая индикатриса

spheroidal function         
  • [[Pierre-Simon Laplace]],  1749–1827
  • Plot of the spherical harmonic <math>Y_\ell^m(\theta,\varphi)</math> with <math>\ell=2</math> and <math>m=1</math> and <math>\varphi=\pi</math> in the complex plane from <math>-2-2i</math> to <math>2+2i</math> with colors created with Mathematica 13.1 function ComplexPlot3D
  • Real (Laplace) spherical harmonics <math>Y_{\ell m}</math> for <math>\ell=0,\dots,4</math> (top to bottom) and <math>m=0,\dots,\ell</math> (left to right). Zonal, sectoral, and tesseral harmonics are depicted along the left-most column, the main diagonal, and elsewhere, respectively. (The negative order harmonics <math>Y_{\ell(-m)}</math> would be shown rotated about the ''z'' axis by <math>90^\circ/m</math> with respect to the positive order ones.)
  • 1=''ℓ'' = 3}}. The coefficients are not equal to the Wigner D-matrices, since real functions are shown, but can be obtained by re-decomposing the complex functions
  • Alternative picture for the real spherical harmonics <math>Y_{\ell m}</math>.
SPECIAL FUNCTION OVER THE SURFACE OF A SPHERE
Spherical harmony; Spherical harmonic; Spherical functions; Spherical Harmonics; Spheroidal function; Spheroidal harmonics; Spheroidal Harmonics; Laplace series; Laplace Series; Spherical harmonics function; Spherical harmonic function; Ylm; Tesseral harmonics; Tesseral spherical harmonics; Sectorial harmonics; Sectorial spherical harmonics

математика

сфероидальная функция

indicatrix         
WIKIMEDIA DISAMBIGUATION PAGE
Indicatrix (disambiguation)

[indi'keitriks]

общая лексика

индикатриса

Смотрите также

binormal indicatrix; functional indicatrix; growth indicatrix; indicatrix of curvature; indicatrix of diffusion; indicatrix of magnification; indicatrix of normal; indicatrix of rotation; indicatrix of tangents; lower indicatrix; scattering indicatrix; spherical indicatrix; upper indicatrix

существительное

математика

индикатриса

специальный термин

характеристика

Определение

Indicatrix
·noun A certain conic section supposed to be drawn in the tangent plane to any surface, and used to determine the accidents of curvature of the surface at the point of contact. The curve is similar to the intersection of the surface with a parallel to the tangent plane and indefinitely near it. It is an ellipse when the curvature is synclastic, and an hyperbola when the curvature is anticlastic.

Википедия

Index ellipsoid

In crystal optics, the index ellipsoid (also known as the optical indicatrix or sometimes as the dielectric ellipsoid) is a geometric construction which concisely represents the refractive indices and associated polarizations of light, as functions of the orientation of the wavefront, in a doubly-refractive crystal (provided that the crystal does not exhibit optical rotation). When this ellipsoid is cut through its center by a plane parallel to the wavefront, the resulting intersection (called a central section or diametral section) is an ellipse whose major and minor semiaxes have lengths equal to the two refractive indices for that orientation of the wavefront, and have the directions of the respective polarizations as expressed by the electric displacement vector D. The principal semiaxes of the index ellipsoid are called the principal refractive indices.

It follows from the sectioning procedure that each principal semiaxis of the ellipsoid is generally not the refractive index for propagation in the direction of that semiaxis, but rather the refractive index for wavefronts tangential to that direction, with the D vector parallel to that direction, propagating perpendicular to that direction. Thus the direction of propagation (normal to the wavefront) to which each principal refractive index applies is in the plane perpendicular to the associated principal semiaxis.

Как переводится spherical indicatrix на Русский язык