Results 211 to 220 of about 11,603 (246)
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2015
Abstract The theory of geometrical optics as presented here is associated with rays that propagate at small angles where the sine of the angle can be replaced by the angle in radians. This is called the paraxial theory and it fails to describe the actual performance of an optical system.
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Abstract The theory of geometrical optics as presented here is associated with rays that propagate at small angles where the sine of the angle can be replaced by the angle in radians. This is called the paraxial theory and it fails to describe the actual performance of an optical system.
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Geometrical Optical Illusionists
Perception, 2014Geometrical optical illusions were given this title by Oppel in 1855. Variants on such small distortions of visual space were illustrated thereafter, many of which bear the names of those who first described them. Some original forms of the geometrical optical illusions are shown together with ‘perceptual portraits’ of those who described them.
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Physical and geometrical optics of phonons
Physica B: Condensed Matter, 1999Abstract Several experiments are presented to study the physical and geometrical optics of narrow diffraction-limited monochromatic phonon beams in the frequency range 1–6 GHz. The experiments include diffraction by fixed and sideward moving gratings, and the realization of a phonon lens.
Dieleman, D.J. +5 more
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Caustics in geometrical optics
Functional Analysis and Its Applications, 1986Let \(\pi\) : \(E\to B\) be a Lagrangian fibration. A hypersurface M in E is called layerwise convex if the intersection of M with each fiber is locally strictly convex in the fiber. For fixed M, a Lagrange submanifold L of E is called a ray manifold if L is contained in M.
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A geometric algebra reformulation of geometric optics
American Journal of Physics, 2003We present a tutorial on the Clifford (geometric) algebra Cl3,0 and use it to reformulate the laws of geometric optics. This algebra is essentially a Pauli algebra, with the Pauli sigma matrices interpreted as unit rays or vectors. In this algebra, the exponentials of imaginary vectors act as vector rotation operators. This property lets us rewrite the
Daniel J. McNamara, Quirino M. Sugon
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1977
Geometric optics uses light rays which can be drawn as straight lines. Applying the simple law of refraction and reflection at interfaces, it permits very clear presentation, e.g. of the effect of mirrors and lenses with curved surfaces. Also we have already used this convenient method, e.g. when discussing reflection and refraction in Chapter 2.
Herbert Krautkrämer, Josef Krautkrämer
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Geometric optics uses light rays which can be drawn as straight lines. Applying the simple law of refraction and reflection at interfaces, it permits very clear presentation, e.g. of the effect of mirrors and lenses with curved surfaces. Also we have already used this convenient method, e.g. when discussing reflection and refraction in Chapter 2.
Herbert Krautkrämer, Josef Krautkrämer
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2001
Publisher Summary Geometrical optics views light as particles of energy traveling through space. The trajectory of these particles follows along paths that are called rays. This chapter elucidates the derivation of the laws of geometrical optics, namely reflection and refraction, using a simple axiom known as Fermat's principle.
Ting-Chung Poon, Partha P. Banerjee
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Publisher Summary Geometrical optics views light as particles of energy traveling through space. The trajectory of these particles follows along paths that are called rays. This chapter elucidates the derivation of the laws of geometrical optics, namely reflection and refraction, using a simple axiom known as Fermat's principle.
Ting-Chung Poon, Partha P. Banerjee
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The geometrical optics of the blister effect
Vision Research, 1966Abstract The blister effect occurs when a distant scene is viewed through the gap formed by the tips of finger and thumb, held an inch or so in front of one eye, the other eye being closed. As the tips are brought closer together, one being further from the eye, a bulge seems to grow on the more distant one, which appears to touch the other even ...
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Geometrical transformations in optics*
Journal of the Optical Society of America, 1974Geometrical image modifications such as coordinate transformations and local translation, inversion, reflection, stretching which require space-variant optical coherent systems are provided by introducing phase filters having a predetermined phase function into optical coherent systems in such a manner that the local phase variations influence light ...
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Hobbes Studies, 2016
Since Euclid, optics has been considered a geometrical science, which Aristotle defines as a “mixed” mathematical science. Hobbes follows this tradition and clearly places optics among physical sciences. However, modern scholars point to a confusion between geometry and physics and do not seem to agree about the way Hobbes mixes both sciences.
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Since Euclid, optics has been considered a geometrical science, which Aristotle defines as a “mixed” mathematical science. Hobbes follows this tradition and clearly places optics among physical sciences. However, modern scholars point to a confusion between geometry and physics and do not seem to agree about the way Hobbes mixes both sciences.
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