We study theoretically the exchange of angular momentum between electromagnetic and electrostatic waves in a plasma, due to the stimulated Raman and Brillouin backscattering processes. Angular momentum states for plasmon and phonon fields are introduced for the first time. We demonstrate that these states can be excited by nonlinear wave mixing, associated with the scattering processes. This could be relevant for plasma diagnostics, both in laboratory and in space. Nonlinearly coupled paraxial equations and instability growth rates are derived.
PACS numbers:It is well known that the angular momentum of electromagnetic radiation contains two distinct parts, one associated with its polarization state, or photon spin, the other being the external or orbital photon angular momentum (OAM). With the advent of laser beams, an increasing interest is being given to the study of photon OAM, and various optical experimental configurations have been considered [1,2,3,4]. It is now well understood that collimated electromagnetic beams, such as laser or radio wave beams, can be described by LaguerreGaussian functions, which provide a natural orthonormal basis for a generic beam representation. Utilization of photon OAM states in the low frequency (≤ GHz) radio wave domain was also recently proposed in Ref. 5, as a new method for studying and characterizing radio sources in astrophysics.The possibility of remote study of space plasma vorticity by measuring the OAM of radio beams interacting with vortical plasmas was pointed out in Ref. 6, and a more detailed theoretical analysis was given recently by studying the electromagnetic wave scattering from the plasma medium, with the associated OAM exchanges between the plasma and probing photon beams [7]. A more speculative work was also recently published where the strong similarities between photon and neutrino dispersion relations were explored, and OAM states of neutrino beams interacting with dense plasmas were considered [8].Here we consider the important problem of stimulated Raman and Brillouin backscattering of collimated electromagnetic beams with finite OAM in a plasma. This also leads us to consider, to our knowledge for the first * Electronic address: titomend@ist.utl.pt † Also at LOIS Space Centre, Växjö University, SE-351 95 Växjö, Sweden time, the possible existence of plasmon and phonon states with finite orbital angular momentum. Raman and Brillouin scattering instabilities are well known in the context of laser fusion [9], as possible sources of anomalous plasma reflectivity. Raman backscattering is now recognized as a dominant process for ultra-intense laser plasma interactions, in the context of inertial fusion research [10]. In all these studies, angular momentum in general, and photon OAM in particular, have been systematically ignored. On the other hand, there seems to be experimental evidence of OAM dependence in Brillouin scattering of radio waves in the ionosphere [11], which awaits for a deeper theoretical understanding. In contrast with the traditional t...