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Discrete nonlinear localization in femtosecond laser written waveguides in fused silica

Alexander Szameit, Dominik Blömer, Jonas Burghoff, Thomas Schreiber, Thomas Pertsch, Stefan Nolte, Andreas Tünnermann, and Falk Lederer

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Abstract

The observation of discrete spatial solitons in fs laser written waveguide arrays in fused silica is reported for the first time. The fs writing process permits the specific setting of the linear and nonlinear guiding properties of the waveguides. The results in this paper reveal a new avenue for the fabrication of various nonlinear optical devices.

©2005 Optical Society of America

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Figures (5)
Fig. 1.
Fig. 1. Scheme of the writing process in transparent bulk material using fs laser pulses.

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Fig. 2.
Fig. 2. (a) Measured mode profile at λ = 800 nm and (b) corresponding refractive index profile.

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Fig. 3.
Fig. 3. Microscope view of the waveguide array.

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Fig. 4.
Fig. 4. (1.20 MB) Movie of the measured output pattern as a function of increasing input power.

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Fig. 5.
Fig. 5. Comparison for the evolution of the output pattern of the experimental data (left) and the numerical analysis (right). The amplitude in the nth waveguide is shown as a function of the input power.

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Equations (5)

Equations on this page are rendered with MathJax. Learn more.

i d dz E n = β E n + c ( E n + 1 + E n − 1 ) + κ ∣ E n ∣ 2 E n = 0 ,
E n ( z ) = i n A 0 exp iβz J n ( 2 cz ) ,
c = π 2 l c = 13.5 m − 1 .
κ = ω ∫ 0 ∞ n 2 ( r ) ∣ E n ( r ) ∣ 4 rdr v ( ∫ 0 ∞ ∣ E n ( r ) ∣ 2 rdr ) 2
κ = n 2 ( eff ) ω ∫ 0 ∞ ∣ E n ( r ) ∣ 4 rdr v ( ∫ 0 ∞ ∣ E n ( r ) ∣ 2 rdr ) 2 .
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