2013
DOI: 10.1007/978-3-319-00266-8_6
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The C̆erenkov Effect Revisited: From Swimming Ducks to Zero Modes in Gravitational Analogues

Abstract: We present an interdisciplinary review of the generalizedCerenkov emission of radiation from uniformly moving sources in the different contexts of classical electromagnetism, superfluid hydrodynamics, and classical hydrodynamics. The details of each specific physical systems enter our theory via the dispersion law of the excitations. A geometrical recipe to obtain the emission patterns in both real and wavevector space from the geometrical shape of the dispersion law is discussed and applied to a number of cas… Show more

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Cited by 32 publications
(47 citation statements)
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References 70 publications
(139 reference statements)
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“…These experiments could be further extended by using a Feshbach resonance to tune the interactions in an atom laser beam and investigate the effect of BEC barrier height/size on the resulting dynamics. In such case one should be able to study non-linear dynamics such as shock waves, soliton trains and vortices [3].…”
Section: Discussionmentioning
confidence: 99%
“…These experiments could be further extended by using a Feshbach resonance to tune the interactions in an atom laser beam and investigate the effect of BEC barrier height/size on the resulting dynamics. In such case one should be able to study non-linear dynamics such as shock waves, soliton trains and vortices [3].…”
Section: Discussionmentioning
confidence: 99%
“…Figure 3c shows the extremely supersonic regime with v c 0 s that occurs in the linear optics regime at very low incident intensities: in this case, the linear interference of the incident and scattered light is responsible for parabolic shape of the fringes. A complete discussion of the rich features shown by the intensity modulation patterns in the different regimes can be found in the literature, in particular in [1, 20,21,23]. Given the simple relation (2.3) between the incidence angle and the flow speed, the subsonic v < c 0 s condition for superfluid flow translates in the present propagating geometry into an intensity-dependent upper bound on the (small) incidence angle…”
Section: Suppressed Scattering From a Localized Defectmentioning
confidence: 96%
“…Considering the Bogoliubov theory of weak perturbations on top of a uniform fluid of light, the dispersion relation reads [16,38]…”
Section: S2 Dispersion Relation and Healing Lengthmentioning
confidence: 99%