Applied Physics B

, Volume 98, Issue 4, pp 851–855

Calculation of second-harmonic wave pattern generated by focused cylindrical vector beams


DOI: 10.1007/s00340-009-3833-0

Cite this article as:
Ohtsu, A., Kozawa, Y. & Sato, S. Appl. Phys. B (2010) 98: 851. doi:10.1007/s00340-009-3833-0


We calculated the second-harmonic wave pattern induced by focused cylindrically symmetric, polarized vector beams. The second-order nonlinear polarization was expressed for fundamental electric field components passed through a dielectric interface based on vector diffraction theory. Furthermore, the second-harmonic wave pattern was represented on the basis of the far-field approximate expression derived from the formulation of higher-order harmonic generation including a Green’s function. For a (110) zinc selenide crystal, the calculated forward emission patterns of the second-harmonic wave were eight-figure shaped as observed in experiment.

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Institute of Multidisciplinary Research for Advanced MaterialsTohoku UniversitySendaiJapan