Extinction paradox
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In the small wavelength limit, the total scattering cross-section of an impenetrable sphere is twice its geometrical cross-sectional area (which is the value obtained in classical mechanics).[1] Several explanations for this phenomenon have been proposed:[2]
- destructive interference inside particle shadow[3]
- diffraction and shadowing of light by particle[4]
- superposition of incident and scattered field[5]
- cancellation of incident wave inside particle[6]
References
- ↑ Newton, Roger G. (2002). Scattering Theory of Waves and Particles, second edition. Dover Publications. p. 68. ISBN 0-486-42535-5.
- ↑ "TPDSci Ind Ext". tpdsci.com. http://www.tpdsci.com/Ind/Ext.php#ExtPdxExpl.
- ↑ Brillouin, L. (1949). "The Scattering Cross Section of Spheres for Electromagnetic Waves". Journal of Applied Physics 20 (11): 1110–1125. doi:10.1063/1.1698280. Bibcode: 1949JAP....20.1110B.
- ↑ Hulst, Hendrik Christoffel (January 1981). Light Scattering by Small Particles. ISBN 9780486642284. OCLC 264445223.
- ↑ Lai, H. M.; Wong, W. Y.; Wong, W. H. (2004). "Extinction paradox and actual power scattered in light beam scattering: A two-dimensional study". Journal of the Optical Society of America A 21 (12): 2324–33. doi:10.1364/JOSAA.21.002324. PMID 15603068. Bibcode: 2004JOSAA..21.2324L.
- ↑ Berg, M. J.; Sorensen, C. M.; Chakrabarti, A. (2011). "A new explanation of the extinction paradox". Journal of Quantitative Spectroscopy and Radiative Transfer 112 (7): 1170. doi:10.1016/j.jqsrt.2010.08.024. Bibcode: 2011JQSRT.112.1170B. http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1109&context=usarmyresearch., open access at DigitalCommons here
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