Abstract

Highly efficient second-harmonic generation can be achieved by harnessing resonance effects in microring resonator structures. We propose an angular quasi-phase-matching scheme based on the position dependence of polarization inside the ring resonator.

© 2007 Optical Society of America

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References

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  1. P. P. Absil, J. V. Hryniewicz, B. E. Little, P. S. Cho, R. A. Wilson, L. G. Joneckis, and P. T. Ho, Opt. Lett. 25, 554 (2000).
    [CrossRef]
  2. S. Pereira, P. Chak, and J. E. Sipe, Opt. Lett. 28, 444 (2003).
    [CrossRef] [PubMed]
  3. V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
    [CrossRef]
  4. S. Blair and K. Zheng, J. Opt. Soc. Am. B 23, 1117 (2006).
    [CrossRef]
  5. V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
    [CrossRef] [PubMed]
  6. V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, J. Opt. Soc. Am. B 20, 1304 (2003).
    [CrossRef]
  7. Software: Mode Solutions, version 2.0.3, Lumerical Solution, Inc.
  8. I. Shoji, T. Kondo, A. Kitamoto, M. Shirane, and R. Ito, J. Opt. Soc. Am. B 14, 2268 (1997).
    [CrossRef]
  9. J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, and R. W. Boyd, J. Opt. Soc. Am. B 21, 1818 (2004).
    [CrossRef]
  10. A. Yariv, Quantum Electronics (Wiley, 1975).
  11. S. Pereira, P. Chak, and J. E. Sipe, J. Opt. Soc. Am. B 19, 2191 (2002).
    [CrossRef]
  12. This loss is half the value seen in Ref. some years ago. Recent work has demonstrated a value less than that we assume here (paper CWK2, CLEO 2006; submitted to IEEE Photon. Technol. Lett.).

2006 (1)

2004 (2)

J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, and R. W. Boyd, J. Opt. Soc. Am. B 21, 1818 (2004).
[CrossRef]

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
[CrossRef] [PubMed]

2003 (2)

2002 (2)

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

S. Pereira, P. Chak, and J. E. Sipe, J. Opt. Soc. Am. B 19, 2191 (2002).
[CrossRef]

2000 (1)

1997 (1)

Absil, P. P.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

P. P. Absil, J. V. Hryniewicz, B. E. Little, P. S. Cho, R. A. Wilson, L. G. Joneckis, and P. T. Ho, Opt. Lett. 25, 554 (2000).
[CrossRef]

Blair, S.

Boyd, R. W.

Chak, P.

Cho, P. S.

Goldhar, J.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Grover, R.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Heebner, J. E.

Ho, P. T.

Ho, P.-T.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Hryniewicz, J. V.

Ibrahim, T. A.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Ilchenko, V.

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
[CrossRef] [PubMed]

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, J. Opt. Soc. Am. B 20, 1304 (2003).
[CrossRef]

Ito, R.

Johnson, F. G.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Joneckis, L. G.

Kitamoto, A.

Kondo, T.

Little, B. E.

Maleki, L.

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
[CrossRef] [PubMed]

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, J. Opt. Soc. Am. B 20, 1304 (2003).
[CrossRef]

Matsko, A.

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
[CrossRef] [PubMed]

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, J. Opt. Soc. Am. B 20, 1304 (2003).
[CrossRef]

Pereira, S.

Ritter, K.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Savchenkov, A.

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
[CrossRef] [PubMed]

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, J. Opt. Soc. Am. B 20, 1304 (2003).
[CrossRef]

Shirane, M.

Shoji, I.

Sipe, J. E.

Van, V.

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

Wilson, R. A.

Yariv, A.

A. Yariv, Quantum Electronics (Wiley, 1975).

Zheng, K.

IEEE Photon. Technol. Lett. (1)

V. Van, T. A. Ibrahim, K. Ritter, P. P. Absil, F. G. Johnson, J. Goldhar, R. Grover, and P.-T. Ho, IEEE Photon. Technol. Lett. 14, 74 (2002).
[CrossRef]

J. Opt. Soc. Am. B (5)

Opt. Lett. (2)

Phys. Rev. Lett. (1)

V. Ilchenko, A. Savchenkov, A. Matsko, and L. Maleki, Phys. Rev. Lett. 92, 043903 (2004).
[CrossRef] [PubMed]

Other (3)

A. Yariv, Quantum Electronics (Wiley, 1975).

Software: Mode Solutions, version 2.0.3, Lumerical Solution, Inc.

This loss is half the value seen in Ref. some years ago. Recent work has demonstrated a value less than that we assume here (paper CWK2, CLEO 2006; submitted to IEEE Photon. Technol. Lett.).

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Figures (2)

Fig. 1
Fig. 1

Schematic of a one-channel microring resonator structure.

Fig. 2
Fig. 2

Time evolution of the output fields with incidence of (a) a CW fundamental wave with a half-Gaussian ( FWHM = 150 ps ) rising edge, (b) a 150 ps Gaussian pulse, (c) same as (b) but with a power loss of 26 dB cm (i.e., 6 cm ) inside the ring.

Equations (11)

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P i = ϵ 0 χ ( 2 ) j , k = 1 , 2 , 3 δ i j k E j E k ,
k F R = m F , k S R = m S ,
k S 2 k F = s 2 R ,
( 1 v S t + ζ ) G S ( ζ , t ) = μ S ( ζ , t ) i η ν ( θ ) e i ( k S 2 k F ) ζ G F 2 ( ζ , t ) ,
( 1 v F t + ζ ) G F ( ζ , t ) = μ F ( ζ , t ) i η * ν ( θ ) e i ( k S 2 k F ) ζ G S ( ζ , t ) G F * ( ζ , t ) ,
e i ϕ A ϵ 0 3 2 n ¯ 3 d ρ δ i j k e T E i ( ρ ) e T E j ( ρ ) ( e T M k ( ρ ) ) * ,
ϵ 0 d ρ n 2 ( ω F , S , ρ ) e T E , T M * ( ρ ) e T E , T M ( ρ ) = 1 ;
( G j 2 G j 3 ) = ( σ j i κ j i κ j σ j ) ( G j 1 G j 4 exp ( i k j L ) ) ,
G S 2 = α S 3 4 μ S ( ζ ) d ζ ,
G F 3 = α F G F 1 + σ F exp ( i k F L ) 1 σ F exp ( i k F L ) 3 4 μ F ( ζ ) d ζ ,
3 4 μ S ( ζ ) d ζ η 4 e i q L 2 L Π ( q L ) G F 3 2 ,

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