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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 9 — Apr. 27, 2009
  • pp: 6982–6995

Novel grating design approach by radiation modes coupling in nonlinear optical waveguides

A. Massaro, R. Cingolani, M. De Vittorio, and A. Passaseo  »View Author Affiliations

Optics Express, Vol. 17, Issue 9, pp. 6982-6995 (2009)

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In integrated optics the radiation modes represent a negative aspect regarding the propagation of guided modes. They characterize the losses of the substrate region but can contribute to enhance the guided modes by considering the coupling through properly designed gratings arranged at the core/substrate interface. By tailored gratings, the radiation modes become propagating modes and increase the guided power inside the waveguide guiding region. This enhancement is useful especially in low intensity processes such as second harmonic χ(2) conversion process. For this purpose, we analyze accurately the radiation modes contribution in a χ(2) GaAs/AlGaAs nonlinear waveguide where second harmonic signal is characterized by a low power intensity. This analysis considers a new design approach of multiple grating which enhances a fundamental guided mode at λFU =1.55 μm and a codirectional second harmonic guided mode at λSH =0.775 μm. In particular we analyze the second harmonic conversion efficiency by studying the coupling effect of three gratings. The combined effects of the gratings provide an efficient second harmonic field conversion. Design considerations, based on the coupled mode equations analysis, are theoretically discussed. A good agreement between analytical and numerical results is observed.

© 2009 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(310.0310) Thin films : Thin films

ToC Category:
Integrated Optics

Original Manuscript: January 7, 2009
Revised Manuscript: February 24, 2009
Manuscript Accepted: March 9, 2009
Published: April 13, 2009

A. Massaro, R. Congolani, M. De Vittorio, and A. Passaseo, "Novel grating design approach by radiation modes coupling in nonlinear optical waveguides," Opt. Express 17, 6982-6995 (2009)

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  1. E. U. Rafailov, P. L. Alvarez, C. T. A. Brown, W. Sibbett, R. M. De la Rue, P. Millar, D. A. Yanson, J. S. Roberts, and P. A. Houston, "Second-harmonic generation from a first-order quasi-phase-matched GaAs/AlGaAs waveguide crystal," Opt. Lett. 26, 1984-1986 (2001).. [CrossRef]
  2. X. Yu, L. Scaccabarozzi, J. S. Harris, P. S. Kuo, and M. M. Fejer, "Efficient continuous wave second harmonic generation pumped at 1.55 ?m in quasi-phase-matched AlGaAs waveguides," Opt. Express 13, 10742-10748 (2005). [CrossRef] [PubMed]
  3. X. Yu, L. Scaccabarozzi, A. C. Lin, M. M. Fejer, and J. S. Harris, "Growth of GaAs with orientation-patterned structures for nonlinear optics," J. Cryst. Growth 301, 163-167 (2007). [CrossRef]
  4. A. Massaro, V. Tasco, M. T. Todaro, R. Cingolani, M. De Vittorio, and A. Passaseo, "Scalar time domain modeling and coupling of second harmonic generation process in GaAs discontinuous optical waveguide," Opt. Express 16, 14496-14511 (2008). [CrossRef] [PubMed]
  5. T. Rozzi and M. Mongiardo, Open Electromagnetic Waveguides, (IEE Electromagnetic Waves Series 43, London 1997). [CrossRef]
  6. D. Marcuse, Theory of Dielectric Optical Waveguides (Academic Press, New York 1974).
  7. D. Marcuse, "Hollow dielectric waveguides for distributed feedback lasers," IEEE J. Quantum Electron. 26, 1265-1276 (1972).
  8. T. Suhara, and M. Fujimura, Waveguide Nonlinear-Optic Devices (Berlin: Springer, 2003).
  9. T. Suhara, and H. Nishihara, "Theoretical analysis of waveguide second-harmonic generation phase matched with uniform and chirped grating," IEEE J. Quantum Electron. 8, 661-669 (1972).
  10. S. Ura, S. Murata, Y. Awtsuji, and K. Kintaka, "Design of resonance grating coupler," Opt. Express 16, 12207-12213 (2008). [CrossRef] [PubMed]
  11. A. Massaro, and T. Rozzi, "Rigorous time-domain analysis of dielectric optical waveguides using Hertzian potentials formulation," Opt. Express 14, 2027-2036 (2006). [CrossRef] [PubMed]
  12. A. Taflove, S. C. Hagness, Computational Electrodynamic: the Finite-difference Time-domain Method, (Arthec House Publishers, sec. ed., London 2000), ch. 2,3,4,7.
  13. G. Mur, "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic field equations," IEEE Trans. Electromagn. Compat. 23, 377-382 (1981). [CrossRef]

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