Physics:Keller cone
In optics, Keller cone or Rubinowicz–Keller cone[1] is the locus of conically diffracted rays produced when an incident optical wave strikes a sharp edge of a scattering object. Named after American mathematician Joseph Keller, who reported the effect as an integral part of his geometrical theory of diffraction in 1962,[2] it was first recognized by Adalbert Rubinowicz in 1924 for the special case of diffraction from an aperture on a thin screen.[3][4]
Keller cones are widely referenced in works on radio propagation[5][6] and radar cross section calculations.[7] Besides electromagnetics, they are also present in acoustic wave diffraction.[8][9] They were experimentally observed in 1972 using helium–neon lasers incident on a razor blade.[10]
See also
- Biot–Tolstoy–Medwin diffraction model
- Caustic (optics)
- Conical refraction
- Shooting and bouncing rays
- Uniform theory of diffraction
References
- ↑ Domingo, M.; Torres, R. P.; Catedra, M. F. (1994). "Calculation of the RCS from the interaction of edges and facets". IEEE Transactions on Antennas and Propagation 42 (6): 885–888. doi:10.1109/8.301708.
- ↑ Keller, Joseph B. (1962). "Geometrical theory of diffraction". Journal of the Optical Society of America 52 (2): 116–130. doi:10.1364/JOSA.52.000116.
- ↑ Rubinowicz, A. (1924). "Zur Kirchhoffschen Beugungstheorie". Annalen der Physik 378 (5-6): 339–364. doi:10.1002/andp.19243780504.
- ↑ Bucci, O. M.; Pelosi, G. (1994). "From wave theory to ray optics". IEEE Antennas and Propagation Magazine 36 (4): 35–42. doi:10.1109/74.317769.
- ↑ Tan, S. Y.; Tan, H. S. (1995). "A theory for propagation path-loss characteristics in a city-street grid". IEEE Transactions on Electromagnetic Compatibility 37 (3): 333–342. doi:10.1109/15.406523.
- ↑ Saez de Adana, F.; Gutierrez Blanco, O.; Gonzalez Diego, I.; Perez Arriaga, J.; Catedra, M. F. (2000). "Propagation model based on ray tracing for the design of personal communication systems in indoor environments". IEEE Transactions on Vehicular Technology 49 (6): 2105–2112. doi:10.1109/25.901882.
- ↑ Ufimtsev, P. Y. (1996). "Comments on diffraction principles and limitations of RCS reduction techniques". Proceedings of the IEEE 84 (12): 1830–1851. doi:10.1109/5.546440.
- ↑ Ufimtsev, Pyotr Ya. (1989). "Theory of acoustical edge waves". Journal of the Acoustical Society of America 86: 463–474. doi:10.1121/1.398226.
- ↑ Hocter, S. T. (2000). "Sound radiated from a cylindrical duct with Keller's geometrical theory". Journal of Sound and Vibration 231 (5): 1243–1256. doi:10.1006/jsvi.1999.2739.
- ↑ Senior, T. B. A.; Uslenghi, P. L. E. (1972). "Experimental detection of the edge-diffraction cone". Proceedings of the IEEE 60 (11). doi:10.1109/PROC.1972.8926.
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