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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 2 — Feb. 1, 2013
  • pp: 382–395

Numerical second- and third-harmonic generation microscopy

Daaf Sandkuijl, Adam E. Tuer, Danielle Tokarz, J. E. Sipe, and Virginijus Barzda  »View Author Affiliations

JOSA B, Vol. 30, Issue 2, pp. 382-395 (2013)

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A full numerical description of second- and third-harmonic generation (SHG and THG) at the focus of a nonlinear microscope is presented. The numerical implementation takes into account reflections and refraction by an arbitrary number of interfaces perpendicular to the optical axis in the focal region. The calculation of the second- and third-harmonic far-field radiation pattern is based on a Green function approach and is presented for any collection direction. The calculations are sped up by using the chirp-z transform for the focusing fields as well as for the far-field radiation calculation. Numerical evidence is presented for deviations in the measurement of the second-order nonlinear susceptibility ratio ρχyyy(2)/χyxx(2) of collagen fibers in SHG microscopy at high excitation numerical aperture. When interface reflections are taken into account, significant direct backward THG is demonstrated from interfaces and multilayer structures.

© 2013 Optical Society of America

OCIS Codes
(180.6900) Microscopy : Three-dimensional microscopy
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4160) Nonlinear optics : Multiharmonic generation
(190.4710) Nonlinear optics : Optical nonlinearities in organic materials
(180.4315) Microscopy : Nonlinear microscopy

ToC Category:

Original Manuscript: September 27, 2012
Revised Manuscript: December 13, 2012
Manuscript Accepted: December 14, 2012
Published: January 22, 2013

Virtual Issues
Vol. 8, Iss. 3 Virtual Journal for Biomedical Optics

Daaf Sandkuijl, Adam E. Tuer, Danielle Tokarz, J. E. Sipe, and Virginijus Barzda, "Numerical second- and third-harmonic generation microscopy," J. Opt. Soc. Am. B 30, 382-395 (2013)

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