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On the nature of “quasiphotons”

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Abstract

Reference solutions for the class of particle-like asymptotic solutions of the wave equation suggested by V. M. Babich and V. V. Ulin, are found.

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References

  1. V. M. Babich and V. V. Ulin, “Complex space-time ray method and ‘quasiphotons’,”Zap. Nauchn. Semin. LOMI,117, 5–11 (1981).

    Google Scholar 

  2. P. Hillion, “Nonhomogeneous nondispersive waves: classification,”Wave Motion,16, 81–87 (1992).

    Google Scholar 

  3. H. Bateman,The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations, Dover (1955).

  4. V. M. Babich, V. S. Buldyrev, and I. A. Molotkov,Space-Time Ray Method [in Russian], Leningrad Univ. Press, Leningrad (1985).

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  5. V. M. Babich and T. F. Pankratova, “The discontinuities of Green's function of the mixed problem for the wave equation with variable coefficients,” in:Problemy Mat. Fiz., Vol. 6, Leningrad Univ. Press (1973), pp. 9–27.

  6. A. P. Kiselev, “Modulated Gaussian beams,”Izv. Vysch. Uchebn. Zav., Radiofizika,16, 1014–1029 (1983).

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  7. N. Ya. Kirpichnikova and M. M. Popov, “Reflection of the space-time ray amplitudes from a moving boundary,”Zap. Nauchn. Semin. LOMI,128, 72–89 (1983).

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  8. V. M. Babič and V. S. Buldyrev,Short-Wavelength Diffraction Theory, Springer-Verlag (1991).

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 117–122.

The authors are indebted to V. M. Babich for helpful discussions.

This research was supported in part by INTAS-RFBR under grant 95-0012.

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Kiselev, A.P., Perel, M.V. On the nature of “quasiphotons”. J Math Sci 96, 3355–3358 (1999). https://doi.org/10.1007/BF02172812

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  • DOI: https://doi.org/10.1007/BF02172812

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