Spatial-temporal distribution of femtosecond pulses at the focal region of a mirror with aberrations

S. Anaya-Vera, M. Rosete-Aguilar, O. G. Rodríguez-Herrera, J. Gardunõ-Mejiá, N. C. Bruce

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The spatial-temporal distribution of femtosecond pulses around the focal region of lenses has been extensively studied in recent years [1-6] due to the rapid progress in the technology of femtosecond lasers and their applications in many experiments in physics [7,8]. In this paper we present the time and spatial distribution of a few optical-cycle optical pulses around the focal region of a perfectly conducting spherical mirror which is a dispersionless system, by calculating the aberrations introduced when an off-axis collimated beam is incident on the mirror. The Seidel aberration theory has been used to calculate the wavefront aberration and the corresponding phase change for each frequency at the pupil of the mirror. The propagation of the beam from the exit pupil to the focal region is calculated by using the scalar diffraction theory [9]. The effect of aberrations in the focusing pulses has been analyzed in the literature by approximating the wavenumber of the pulse-frequencies by the wavenumber of the carrier frequency [4, 5]. In this paper we show that the monochromatic aberrations change the temporal duration of few-optical-cycle pulses when this approximation is removed. When this approximation is used, monochromatic aberrations do not introduce any temporal change in the focusing pulse even for pulses as short as 2.7fs@810nm which corresponds to a oneoptical-cycle pulse. Examples are presented for homogeneous and Gaussian illumination on the entrance pupil.

Original languageEnglish
Title of host publicationProceedings of SPIE - International Optical Design Conference 2017
EditorsPeter P. Clark, Julius A. Muschaweck, John R. Rogers, Richard N. Pfisterer
Place of PublicationBellingham Washington USA
Number of pages9
ISBN (Electronic)9781510616738
ISBN (Print)9781510616721
Publication statusPublished - 2017
Externally publishedYes
EventInternational Optical Design Conference 2017 - Denver, United States of America
Duration: 9 Jul 201713 Jul 2017 (Proceedings)

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
PublisherSPIE - International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceInternational Optical Design Conference 2017
Abbreviated titleIODC 2017
Country/TerritoryUnited States of America
Internet address


  • Aberrations
  • Imaging systems
  • Mirrors
  • Pulse Shaping
  • Ultrafast Optics

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