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Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics
- D. Hestenes, G. Sobczyk, J. S. Marsh
- Mathematics
- 30 June 1984
1 / Geometric Algebra.- 1-1. Axioms, Definitions and Identities.- 1-2. Vector Spaces, Pseudoscalars and Projections.- 1-3. Frames and Matrices.- 1-4. Alternating Forms and Determinants.- 1-5.…
Diffraction patterns of simple apertures
- Richard C. Smith, J. S. Marsh
- Physics
- 1 June 1974
The Fraunhofer diffraction patterns of the triangle, trapezoid, and hexagon are calculated and displayed in moire plots. The diffraction pattern of the general polygonal aperture with a finite number…
Contour plots using a moiré technique
- J. S. Marsh
- Physics
- 1980
A simple method utilizing a moire technique for producing contour plots is described and applied to the rendering of calculated Fraunhofer diffraction patterns.
Measurement of behind-armor debris using cylindrical holograms
- C. Anderson, J. Gordon, D. Watts, J. S. Marsh
- PhysicsElectronic Imaging
- 12 April 1995
Cylindrical holography has been utilized to capture 180 degree(s) field of view of high speed ballistic events. In this paper, we detail the methodology, design, and experimental results for a…
Magnetic and electric fields of rotating charge distributions II.
- J. S. Marsh
- Physics, Chemistry
- 1982
A charge distribution with axial symmetry is allowed to rotate with constant angular velocity around the axis of symmetry. The magnetic field of the resultant current density is calculated in terms…
at grazing incidence.
- J. S. Marsh
- Physics
- 2017
This paper describes Abstract This paper describes the use of Lloyd's mirror in two optical processing applications. First it is shown that if the narrow slit in the usual Lloyd's mirror set up is…
Light distribution near the focal point of a two‐dimensional lens
- J. S. Marsh
- Physics
- 1 February 1984
The distribution of light in the focal region of a lens in two dimensions is calculated in terms of the Fresnel integral. The result is a comparatively simple but very good analog for the focal…
Optical Factors in Judgments of Size through an Aperture
- J. S. Marsh, L. Temme
- PhysicsHuman factors
- 3 January 1990
TLDR
Computer Holograms With a Desk-Top Calculator.
- J. S. Marsh, Richard C. Smith
- Physics
- 1 August 1976
Computer‐generated holograms have been produced on the plotter of an HP 9100B desk‐top calculator. The use of simple stick objects allows us to calculate analytically the Fourier transform, the…
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