Simulating Superradiant Laser Pulses Using Partial Fraction Decomposition and Derivative Procedures

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


Some phenomena in physics (such as the phenomenon of photonic echo) appears for an external observer as non-causal pulses suddenly emerging from an active medium (prepared by some other optical pulses). Such a pulse is very hard to be simulated without using physical quantities corresponding to the internal state of a great number of atoms. Moreover, the high intensity of the photonic echo pulse is proportional to N 2, where N represents the number of atoms involved in emission. An attempt of simulating such pulses without using a great number of variables consists in the use of test-functions, which can be put in correspondence with acausal pulses in physics. However, such an attempt can not explain the dependence on N 2 for the intensity. This study will show that this problem can be solved in a simple manner using principles of partial fraction decomposition and derivative procedures.


Solitary Wave Coherent State Active Medium Optical Pulse Derivative Procedure 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Theodora Toma
    • 1
  • Stefan Pusca
    • 2
  • Cristian Morarescu
    • 3
  1. 1.Department of MathematicsNicolae Iorga CollegeBucharestRomania
  2. 2.Department of PhysicsPolitehnica UniversityBucharestRomania
  3. 3.Department of ComputersPolitehnica UniversityBucharestRomania

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