Abstract—For a usual occurrence of wave scattering, the amplitude of the reflected wave is less than that of the incident wave because the incident wave loses energy to the reflective obstacle. However, for the so-called superradiance phenomenon, the amplitude of the reflected wave is more than that of the incident wave since the incident wave extracts energy from the reflective obstacle. In this paper, a simple toy model of superradiance is presented. The results show that for the case of superradiance, we derive a conservation of flux instead of the conservation of probability.
Index Terms—Conservation, flux, probability, superradiance.
P. Boonserm is with the Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand (e-mail: petarpa.boonserm@gmail.com). T. Ngampitipan is with the Particle Physics Research Laboratory, Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand (e-mail: tritos.ngampitipan@gmail.com).
M. Visser is with the School of Mathematics, Statistics, and Operations Research, Victoria University of Wellington, PO Box 600, Wellington, New Zealand (e-mail: matt.visser@msor.vuw.ac.nz).
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Cite: Petarpa Boonserm, Tritos Ngampitipan, and Matt Visser, "Conservation of Flux in Superradiance Phenomenon," International Journal of Engineering and Technology vol. 8, no. 4, pp. 307-310, 2016.
