Ultrashort light pulse propagation in aberrant optical systems: spatial?temporal analysis
2003
The field amplitude associated with ultrashort light pulses is analysed using the phase-space formalism of the Wigner distribution function (WDF). By properly modifying the diffraction integral to take into account the dispersion effects (up to the second order), we derive a two-dimensional WDF associated with a reduced pupil function, from which the on-axis irradiance is obtained for varying time and defocus. The behaviour of the optical system can be visualized as a three-dimensional irradiance display in a combined spatial–temporal domain. In order to illustrate this approach, we show some results for the case of an optical imaging system suffering from spherical aberration.
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