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Proceedings Paper

Applications of Fresnel-Kirchhoff diffraction integral in linear and nonlinear optics: a didactic introduction
Author(s): V. Pilla; G. G. G. Costa; Tomaz Catunda
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Paper Abstract

In nonlinear optics, the Gaussian beam intensity profile, I(r) exp(-2r2/w2) generates a refractive index profile (Delta) n(r), and consequently a phase profile. Depending on the magnitude of the phase profile, rings structures can be observed in the beam far field intensity profile, the so-called Transverse Self Phase Modulation effect. In this work, we calculated these rings formation due to thermal and Kerr non linearities, using the Fresnel- Kirchhoff diffraction integral. In the case of Kerr nonlinearity, the refractive index profile is also Gaussian since n(r) equals n0 + n2I(r). However, due to the effect of heat diffusion, in the case of thermal nonlinearity the refractive index profile is broader than I(r).

Paper Details

Date Published: 14 August 2001
PDF: 4 pages
Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); doi: 10.1117/12.437210
Show Author Affiliations
V. Pilla, Univ. de Sao Paulo (Brazil)
G. G. G. Costa, Univ. de Sao Paulo (Brazil)
Tomaz Catunda, Univ. de Sao Paulo (Brazil)


Published in SPIE Proceedings Vol. 4419:
4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications

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