Spatial Aspects of Interaction Between High-Energy Pulses and Waves Considered as Suddenly Emerging Phenomena

  • Alexandru Toma
  • Stefan Pusca
  • Cristian Morarescu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3980)


As it is known, practical test-functions are very useful for modeling suddenly emerging phenomena [1]. By this study we are trying to use some specific features of these functions for modeling aspects connected with interactions between electromagnetic pulses and material bodies for the relativistic case, when the material body moves with speed c as related to the reference system where this pulse was emitted. At the beginning the problem appearing for high-energy electromagnetic pulses interacting with very small particles is presented; in this case, the model considering the transformation of a received wave train by observer’s material medium must be replaced, while the energy of a received high-energy pulse can be higher than the whole energy mc 2 of some small (elementary) particles. Thus it results that in this case the associated wave-train corresponding to the body should be transformed also by the received pulse (scaling aspects having to be taken into consideration). Then it is shown that integral properties of test functions can be used for modeling smooth transitions when the resulting force changes its sign.


Solitary Wave Reference System Time Moment Wave Train Electromagnetic Pulse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Toma, G.: Practical test-functions generated by computer algorithms. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 576–585. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  2. 2.
    Toma, C.: The advantages of presenting special relativity using modern concepts. Balkan Physics Letters Supplement 5, 2334–2337 (1997)Google Scholar
  3. 3.
    Baader, F.: The instance problem and the most specific concept in the description logic w.r.t. terminological cycles with descriptive semantics. In: Günter, A., Kruse, R., Neumann, B. (eds.) KI 2003. LNCS (LNAI), vol. 2821, pp. 64–78. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  4. 4.
    Toma, C.: A connection between special relativity and quantum theory based on non-commutative properties and system - wave interaction. Balkan Physics Letters Supplement 5, 2509–2513 (1997)Google Scholar
  5. 5.
    Takeda, M., Inenaga, S., Bannai, H.: Discovering most classificatory patterns for very expressive pattern classes. In: Grieser, G., Tanaka, Y., Yamamoto, A. (eds.) DS 2003. LNCS (LNAI), vol. 2843, pp. 486–493. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  6. 6.
    Toma, C.: The use of the cuadridimensional interval - the main possibility for improving the Lorentz formulae interpretation. In: Proceedings of ECIT 1997 Symposium - Pitesti (Romania), vol. 2, pp. 202–206 (1997)Google Scholar
  7. 7.
    Sterian, P., Toma, C.: Methods for presenting key concepts in physics for MS students by Photon-MD program. Bulgarian Journal of Physics 27(4), 27–30 (2000)Google Scholar
  8. 8.
    Simeonidis, M., Pusca, S., Toma, G., Toma, A., Toma, T.: Definition of wave-corpuscle interaction suitable for simulating sequences of physical pulses. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 569–576. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  9. 9.
    Toma, C.: About some space relations of the electromagnetic interaction. Revue Roumaine des Sciences Techniques, Serie Electrotechnique et Energetique 34(3), 431–435 (1989)Google Scholar
  10. 10.
    Cattani, C.: Multiscale Analysis of Wave Propagation in Composite Materials. Mathematical Modelling and Analysis 8(4), 267–282 (2003)MATHMathSciNetGoogle Scholar
  11. 11.
    D’Avenia, P., Fortunato, D., Pisani, L.: Topological solitary waves with arbitrary charge and the electromagnetic field. Differential Integral Equations 16, 587–604 (2003)MATHMathSciNetGoogle Scholar
  12. 12.
    Cattani, C.: Harmonic Wavelets towards Solution of Nonlinear PDE. Computers and Mathematics with Applications 50, 1191–1210 (2005)MATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    Toma, C.: An extension of the notion of observability at filtering and sampling devices. In: Proceedings of the International Symposium on Signals, Circuits and Systems Iasi SCS 2001, Romania, pp. 233–236 (2001)Google Scholar
  14. 14.
    Rushchitsky, J.J., Cattani, C., Terletskaya, E.V.: Wavelet Analysis of the evolution of a solitary wave in a composite material. International Applied Mechanics 40(3), 311–318 (2004)CrossRefGoogle Scholar
  15. 15.
    Toma, C.: The possibility of appearing acausal pulses as solutions of the wave equation. The Hyperion Scientific Journal 4(1), 25–28 (2004)MathSciNetGoogle Scholar
  16. 16.
    Cattani, C.: Harmonic Wavelet Solutions of the Schroedinger Equation. International Journal of Fluid Mechanics Research 5, 1–10 (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Alexandru Toma
    • 1
  • Stefan Pusca
    • 2
  • Cristian Morarescu
    • 3
  1. 1.Department of Mathematics and InformaticsMarin Preda CollegeBucharestRomania
  2. 2.Department of PhysicsPolitehnica UniversityBucharestRomania
  3. 3.Department of ComputersPolitehnica UniversityBucharestRomania

Personalised recommendations