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  2. Malus-Dupin theorem - Wikipedia

    en.wikipedia.org/wiki/Malus-Dupin_theorem

    Some ray pencils are not perpendicular to any surface. This is related to contact geometry. The standard contact structure on R 3. For example, consider the standard contact structure on R 3, which can be understood as a field of infinitesimal planes. Now, perpendicular to every infinitesimal plane, draw a light ray.

  3. Bernal chart - Wikipedia

    en.wikipedia.org/wiki/Bernal_chart

    The third parameter specifying the reciprocal lattice vector is the angle formed by the X-ray beam and the plane containing and . The vertical coordinate ζ {\displaystyle \zeta } has a special significance, since all the reciprocal lattice points which have a constant ζ {\displaystyle \zeta } value lie in the plane normal to the rotation axis.

  4. Pole figure - Wikipedia

    en.wikipedia.org/wiki/Pole_figure

    Consider the diffraction pattern obtained with a single crystal, on a plane that is perpendicular to the beam, e.g. X-ray diffraction with the Laue method, or electron diffraction in a transmission electron microscope. The diffraction figure shows spots. The position of the spots is determined by the Bragg's law. It gives the orientation of the ...

  5. Angle of incidence (optics) - Wikipedia

    en.wikipedia.org/wiki/Angle_of_incidence_(optics)

    The angle of incidence, in geometric optics, is the angle between a ray incident on a surface and the line perpendicular (at 90 degree angle) to the surface at the point of incidence, called the normal. The ray can be formed by any waves, such as optical, acoustic, microwave, and X-ray. In the figure below, the line representing a ray makes an ...

  6. Second polar moment of area - Wikipedia

    en.wikipedia.org/wiki/Second_polar_moment_of_area

    Where the planar second moment of area describes an object's resistance to deflection when subjected to a force applied to a plane parallel to the central axis, the polar second moment of area describes an object's resistance to deflection when subjected to a moment applied in a plane perpendicular to the object's central axis (i.e. parallel to ...

  7. Plücker coordinates - Wikipedia

    en.wikipedia.org/wiki/Plücker_coordinates

    Then their respective planes are perpendicular to vectors a and b, and the direction of L must be perpendicular to both. Hence we may set d = a × b, which is nonzero because a, b are neither zero nor parallel (the planes being distinct and intersecting). If point x satisfies both plane equations, then it also satisfies the linear combination

  8. 2 High-Yield Dividend Stocks to Buy Early in 2025 - AOL

    www.aol.com/2-high-yield-dividend-stocks...

    This strong market position generates substantial cash flows that support shareholder returns. Turning to the specifics, the pharmaceutical giant offers investors a 4.3% dividend yield backed by a ...

  9. Huygens principle of double refraction - Wikipedia

    en.wikipedia.org/wiki/Huygens_principle_of...

    The optical plane, also known as the plane of polarization, is perpendicular to the optical axis. Light exhibits birefringence within this plane, which means that the refractive index and all the phenomena associated to that, depend on the polarization. A common effect that can be observed is the splitting of an incident ray into two rays when ...