• DOI:10.1103/PhysRevB.73.235401
Corpus ID: 42722254

Axially symmetric focusing as a cuspoid diffraction catastrophe: Scalar and vector cases and comparison with the theory of Mie

@article{Kofler2006AxiallySF,
  title={Axially symmetric focusing as a cuspoid diffraction catastrophe: Scalar and vector cases and comparison with the theory of Mie},
  author={J. Kofler and N. Arnold},
  journal={Physical Review B},
  year={2006},
  volume={73},
  pages={235401}
}

J. Kofler, N. Arnold

Published 2006

Physics

Physical Review B

An analytical description of arbitrary strongly aberrated axially symmetric focusing is developed. This is done by matching the solution of geometrical optics with a wave pattern which is universal for the underlying ray structure. The corresponding canonical integral is the Bessoid integral, which is a three-dimensional generalization of the Pearcey integral that approximates the field near an arbitrary two-dimensional cusp. We first develop the description for scalar fields and then… CONTINUE READING

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