Typical Integrals of Catastrophe Theory

  • Yu. A. Kravtsov
  • Yu. I. Orlov
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 15)


This chapter is devoted to standard integrals associated with typical caustics. We present the simplest integrals corresponding to the seven Thom’s catastrophes and also some more complex integrals associated with caustics that occur in series. A novel point in this exposition is the one of Fresnel’s criteria for passing over from some normal forms to others when external parameters vary.


Phase Function Focal Spot Airy Function Catastrophe Theory Fresnel Zone 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Yu. A. Kravtsov
    • 1
  • Yu. I. Orlov
    • 2
  1. 1.Space Research InstituteRussian Academy of ScienceMoscowRussia
  2. 2.Power Engineering InstituteMoscowRussia

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