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Ince-Gaussian Beams for the Optical Organisation of Microparticles

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Structured Light Fields

Part of the book series: Springer Theses ((Springer Theses))

Abstract

Self-similar beams are by far the most prominent class of laser beams as they are natural solutions to the resonator problem and hence widely available as output of commercial and research lasers.

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Notes

  1. 1.

    The use of “vertical” and “horizontal” is connected with the definition of the elliptical coordinates in Sect. 6.1. For experimental applications the system of coordinates can, of course, be rotated by any arbitrary angle.

  2. 2.

    In the following, we assume that the qualitative behaviour of strongly focused IG beams is reasonably described within the paraxial regime. A brief discussion on the validity of this approximation in optical trapping scenarios is provided in Sect. 2.4.

  3. 3.

    Typical microparticles like silica spheres and also silicate glass surfaces exhibit negative surface charges in aqueous solutions (Behrens and Grier 2001). If the solvent has very low ionic strength, like pure water, the repelling forces due to the electric double layers (Israelachvili 2011) usually maintain a separation between particles and surface and thus suppress other short-range interactions and the particles are free to move along the surface.

  4. 4.

    The experiments discussed in this section were performed in collaboration with Ms Christina Alpmann within the framework of her diploma thesis (Alpmann 2010) and have resulted in a joint publication (Woerdemann et al. 2011).

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Author information

Authors and Affiliations

  1. Institute of Applied Physics, University of Münster, Corrensstraße 2, 48149, Münster, Germany

    Dr. Mike Woerdemann

Authors
  1. Dr. Mike Woerdemann
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Correspondence to Mike Woerdemann .

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© 2012 Springer-Verlag Berlin Heidelberg

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Woerdemann, M. (2012). Ince-Gaussian Beams for the Optical Organisation of Microparticles. In: Structured Light Fields. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29323-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-29323-8_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29322-1

  • Online ISBN: 978-3-642-29323-8

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