Waves and Thom's theorem

@inproceedings{Berry1976WavesAT,
  title={Waves and Thom's theorem},
  author={Michael V. Berry},
  year={1976}
}
Abstract Short-wave fields can be well approximated by families of trajectories. These families are dominated by their singularities, i.e. by caustics, where the density of trajectories is infinite. Thom's theorem on singularities of mappings can be rigorously applied and shows that structurally stable caustics—that is those whose topology is unaltered by ‘generic’ perturbation—can be classified as ‘elementary catastrophes’. Accurate asymptotic approximations to wave functions can be built up… CONTINUE READING

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