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Proceedings Paper

Accurate design and modeling of χ(2) nonlinear processes in periodic waveguides by Hertzian potential method
Author(s): Alessandro Massaro; Vittorianna Tasco; Maria Teresa Todaro; Roberto Cingolani; Massimo De Vittorio; Adriana Passaseo
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Paper Abstract

We present in this work the scalar potential formulation of second harmonic generation process in χ(2) nonlinear analysis. This approach is intrinsically well suited to the application of the concept of circuit analysis and synthesis to nonlinear optical problems, and represents a novel alternative method in the analysis of nonlinear optical waveguide, by providing a good convergent numerical solution. The time domain modeling is applied to nonlinear waveguide with dielectric discontinuities in the hypothesis of quasi phase matching condition in order to evaluate the conversion efficiency of the second harmonic signal. With the introduction of the presented rigorous time domain method it is possible to represent the physical phenomena such as light propagation and second harmonic generation process inside a nonlinear optical device with a good convergent solution and low computational cost. Moreover, this powerful approach minimizes the numerical error of the second derivatives of the Helmholtz wave equation through the generator modeling. The novel simulation algorithm is based on nonlinear wave equations associated to the circuital approach which considers the time-domain wave propagating in nonlinear transmission lines. The transmission lines represent the propagating modes of the nonlinear optical waveguide. The application of quasi phase matching in high efficiency second harmonic generation process is analyzed in this work. In particular we model the χ(2) non linear process in an asymmetrical GaAs slab waveguide with nonlinear core and dielectric discontinuities: in the nonlinear planar waveguides a fundamental mode at λ=1.55 μm is coupled to a second-harmonic mode (λ=0.775 μm) through an appropriate nonlinear susceptibility coefficient. The novel method is also applied to three dimensional structures such as ridge waveguides.

Paper Details

Date Published: 19 May 2009
PDF: 8 pages
Proc. SPIE 7354, Nonlinear Optics and Applications III, 73540Z (19 May 2009); doi: 10.1117/12.820439
Show Author Affiliations
Alessandro Massaro, National Nanotechnology Lab., CNR-INFM, Univ. del Salento (Italy)
Vittorianna Tasco, National Nanotechnology Lab., CNR-INFM, Univ. del Salento (Italy)
Maria Teresa Todaro, National Nanotechnology Lab., CNR-INFM, Univ. del Salento (Italy)
Roberto Cingolani, National Nanotechnology Lab., CNR-INFM, Univ. del Salento (Italy)
Massimo De Vittorio, National Nanotechnology Lab., CNR-INFM, Univ. del Salento (Italy)
Adriana Passaseo, National Nanotechnology Lab., CNR-INFM, Univ. del Salento (Italy)


Published in SPIE Proceedings Vol. 7354:
Nonlinear Optics and Applications III
Mario Bertolotti, Editor(s)

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