The Geometry of Colors Research Paper

A look at the physical foundations of the differential geometry of colors.
# 151986 | 8,249 words | 28 sources | MLA | 2012 | US
Published on Nov 09, 2012 in Physics (Optics) , Mathematics (General)


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Description:

This paper begins with explaining that Wien's displacement law is the crux of the methodology leading to quantum concept, and therefore to modern physics of light. This paper reviews current views on the Wien's displacement law and describes the mathematical expression of the physical reasons leading to its explicit form. The paper also discusses Fresnel, the founder of modern physical optics as well as the statistics underlying Planck's law of radiation relating to modern mathematical theory of color vision - the differential geometry of color space.

Outline:
Abstract
Introduction
Wien's Displacement Law: a Lesson
Fresnel Physical Theory of the Light Phenomenon
The Lesson Proper
The Explanation of Planck's Law of Radiation
Fixing the Lesson: the Differential Geometry of Color Space
Conclusions

From the Paper:

"Apart from being inadequate for teaching purposes (see the works cited by Heald, 2003), the insistence on quantitative definition of the position of Wien's peak, can have even more serious drawbacks, in the long run. Any such method of definition can be simply in default by the fact that the physical spectrum is much too large when compared with the usual ways of measuring the light, especially with the natural 'apparatus' of perception of light: our eye. At this point one can locate the place where the discrepancy between the physical theory of light and the theory of color vision is most obvious, misleading any biological and psychophysical reasonings (see Soffer, Lynch, 1999). For instance, one could rightfully ask where, from the physical point of view, is the Wien's peak of human eye located. The answer is twofold: in the green region of spectrum (560 nm), if we characterize the spectrum by wavelength, and in the near infrared region (880 nm) if we characterize the spectrum by frequency. The psychophysical measurements, on the other hand, reveal quite a narrow window of luminous efficiency for the human eye, that peaks in the green region of the spectrum. "

Sample of Sources Used:

  • Buckingham, E. (1912): On the Deduction of Wien's Displacement Law, Bulletin of the Bureau of Standards, Washington, Vol. 8, pp. 545 - 557
  • Fixsen, D. J. et al (1996): The Cosmic Microwave Background Spectrum from the Full COBE FIRAS Data Set, The Astrophysical Journal, Vol. 473, pp. 576 - 587
  • Fresnel, A. (1827): Memoire sur la Double Refraction, Memoirs de l'Academie des Sciences de l'Institute de France, Tome 7, pp. 45 - 176
  • Hamilton, W. R. (1841): On a Mode of Deducing the Equation of Fresnel's Wave, Philosophical Magazine, Vol. 19, pp. 381 - 383
  • Heald, M. A. (2003): Where is the "Wien Peak", American Journal of Physics, Vol. 71, pp. 1322 - 1323

Cite this Research Paper:

APA Format

The Geometry of Colors (2012, November 09) Retrieved July 18, 2019, from https://www.academon.com/research-paper/the-geometry-of-colors-151986/

MLA Format

"The Geometry of Colors" 09 November 2012. Web. 18 July. 2019. <https://www.academon.com/research-paper/the-geometry-of-colors-151986/>

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