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Related Concept Videos

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
Azimuths and Bearings01:19

Azimuths and Bearings

Azimuths and bearings are essential concepts in surveying, providing methods to express the direction of a line relative to a meridian. Azimuths refer to the clockwise angle measured from the north end of a reference meridian to the given line, ranging from zero to 360 degrees. This method gives a comprehensive directional reference within a full 360-degree circle, making it a straightforward way to communicate direction in various fields, including navigation, cartography, and...
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

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Deformation in a Circular Shaft

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Interferometric quasi-absolute tests for aspherics using a radial shear position.

Klaus Mantel1, Eduard Geist, Irina Harder

  • 1Max Planck Institute for the Science of Light, Günther-Scharowsky-Strasse 1/Bau 24, 91058 Erlangen, Germany. klaus.mantel@mpl.mpg.de

Optics Letters
|October 20, 2009
PubMed
Summary

This study introduces a new absolute testing method for aspheric surfaces, replacing the problematic cat's eye position with a radially sheared one. This advancement improves accuracy in aspheric metrology for precise surface deviation measurements.

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Area of Science:

  • Optical Engineering
  • Metrology
  • Surface Science

Background:

  • Growing demand for high-accuracy aspheric metrology.
  • Existing three-position tests for spheres have limitations when applied to aspherics, particularly the cat's eye position drawback.

Purpose of the Study:

  • To develop an absolute testing method for rotationally symmetric aspheric surfaces.
  • To overcome the limitations of the traditional three-position test for aspheric metrology.

Main Methods:

  • Proposed an absolute testing technique for aspheric surfaces.
  • Replaced the cat's eye position with a radially sheared position in the test setup.
  • Utilized rotational movements of the specimen for absolute surface deviation determination.

Main Results:

  • Successfully demonstrated an absolute testing procedure for aspheric surfaces.
  • Presented measurement results for a sphere using the novel method.
  • Compared the results with those obtained from the standard three-position test, validating the new approach.

Conclusions:

  • The proposed method offers a viable alternative for absolute testing of aspheric surfaces.
  • The radial shear technique effectively replaces the cat's eye position, enhancing metrology accuracy.
  • This method contributes to advancing precise surface characterization in optical manufacturing.