Applications of Fresnel-Kirchhoff diffraction integral in linear and nonlinear optics: a didactic introduction

V. Pilla; G. G. G. Costa; Tomaz Catunda

doi:10.1117/12.437210

14 August 2001 Applications of Fresnel-Kirchhoff diffraction integral in linear and nonlinear optics: a didactic introduction

V. Pilla, G. G. G. Costa, Tomaz Catunda

Author Affiliations +

Proceedings Volume 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications; (2001) https://doi.org/10.1117/12.437210
Event: IV Iberoamerican Meeting of Optics and the VII Latin American Meeting of Optics, Lasers and Their Applications, 2001, Tandil, Argentina

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).

Citation Download Citation

V. Pilla, G. G. G. Costa, and Tomaz Catunda "Applications of Fresnel-Kirchhoff diffraction integral in linear and nonlinear optics: a didactic introduction", Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); https://doi.org/10.1117/12.437210

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