light absorption

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1: 7.21 Physical Applications

§7.21 Physical Applications

… ►Fresnel integrals and Cornu’s spiral occurred originally in the analysis of the diffraction of light; see Born and Wolf (1999, §8.7). … ►Voigt functions $𝖴(x,t)$, $𝖵(x,t)$, can be regarded as the convolution of a Gaussian and a Lorentzian, and appear when the analysis of light (or particulate) absorption (or emission) involves thermal motion effects. …

2: Sidebar 9.SB2: Interference Patterns in Caustics

… ►A thin beam of light refracted by an irregularity in bathroom-window glass produces this image on a distant screen. The bright sharp-edged triangle is a caustic, that is a line of focused light. …

3: Sidebar 9.SB1: Supernumerary Rainbows

… ►Airy invented his function in 1838 precisely to describe this phenomenon more accurately than Young had done in 1800 when pointing out that supernumerary rainbows require the wave theory of light and are impossible to explain with Newton’s picture of light as a stream of independent corpuscles. …

4: Sidebar 7.SB1: Diffraction from a Straightedge

… ►Photograph of light diffracted by a straightedge. …

5: Bibliography K

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The second Painlevé equation in the electrostatic probe theory: Numerical solutions for the partial absorption of charged particles by the surface. Technical Physics 49 (1), pp. 1–7.

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External Links:

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§32.17.

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The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York.

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ISBN 0-12-404550-2

Referenced by:

§10.73(i).

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6: 7.3 Graphics

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Figure 7.3.3: Fresnel integrals $C\left(x\right)$ and $S\left(x\right)$, $0\le x\le 4$. Magnify

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7: 9.16 Physical Applications

… ► Airy on the intensity of light in the neighborhood of a caustic (Airy (1838, 1849)). … ►Examples dealing with the propagation of light and with radiation of electromagnetic waves are given in Landau and Lifshitz (1962). …

8: Bibliography V

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Light Scattering by Small Particles. John Wiley and Sons. Inc., New York.

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External Links:

MathReview (P. M. Morse)

Referenced by:

§9.16.

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Multiple Light Scattering. Vol. 1, Academic Press, New York.

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§6.17.

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9: 19.34 Mutual Inductance of Coaxial Circles

… ►where $c$ is the speed of light, and in (19.29.11), …

10: Bibliography N

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Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations. Institute of Physics Publishing, Bristol.

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External Links:

ISBN 0-7503-0610-6, MathReview (Peter Giblin), ZentralBlatt

Referenced by:

§36.14(ii).

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