Abstract

The feasibility of a modal phase matching scheme between optical modes and surface plasmonic modes is demonstrated: in fact, the high effective index of a plasmonic mode allows us to obtain phase matching even in semiconductors showing a large dispersion between fundamental and second harmonic wavelengths. We design a realistic device to obtain Type-II second harmonic generation in AlGaAs-based waveguides; whereas one of the two pumps is carried by a plasmonic mode, the generated second harmonic signal is guided inside the AlGaAs multilayer, and hence it is not hampered by high propagation losses.

© 2012 Optical Society of America

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2010

2009

2007

2005

2004

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

2003

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

2000

A. Chowdhury and L. McCaughan, IEEE Photon. Technol. Lett. 12, 486 (2000).
[CrossRef]

1998

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

1985

S. Adachi, J. Appl. Phys. 58, R1 (1985).
[CrossRef]

Adachi, S.

S. Adachi, J. Appl. Phys. 58, R1 (1985).
[CrossRef]

Aimez, V.

Aitchison, J. S.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

D. C. Hutchings, S. J. Wagner, B. M. Holmes, U. Younis, A. S. Helmy, and J. S. Aitchison, Opt. Lett. 35, 1299 (2010).
[CrossRef]

Arès, R.

Berger, V.

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

Bravetti, P.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

Calligaro, M.

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

Chaker, M.

Cheng, Q. Q.

Chowdhury, A.

A. Chowdhury and L. McCaughan, IEEE Photon. Technol. Lett. 12, 486 (2000).
[CrossRef]

Christodoulides, D. N.

Davoyan, A. R.

De Angelis, C.

De Rossi, A.

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

Delprat, S.

Ducci, S.

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

Duchesne, D.

Ebrahimzadeh, M.

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

Fejer, M. M.

Fiore, A.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

Harris, J. S.

Helmy, A. S.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

D. C. Hutchings, S. J. Wagner, B. M. Holmes, U. Younis, A. S. Helmy, and J. S. Aitchison, Opt. Lett. 35, 1299 (2010).
[CrossRef]

Holmes, B. M.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

D. C. Hutchings, S. J. Wagner, B. M. Holmes, U. Younis, A. S. Helmy, and J. S. Aitchison, Opt. Lett. 35, 1299 (2010).
[CrossRef]

Hu, W.

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Hu, X. K.

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Hu, X. P.

Hutchings, D. C.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

D. C. Hutchings, S. J. Wagner, B. M. Holmes, U. Younis, A. S. Helmy, and J. S. Aitchison, Opt. Lett. 35, 1299 (2010).
[CrossRef]

Kim, T. W.

T. W. Kim, T. Matsushita, and T. Kondo, Appl. Phys. Express 4, 082201 (2011).
[CrossRef]

Kivshar, Y. S.

Kondo, T.

T. W. Kim, T. Matsushita, and T. Kondo, Appl. Phys. Express 4, 082201 (2011).
[CrossRef]

Kuo, P. S.

Lanco, L.

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

Légaré, F.

Li, L.

Li, T.

Locatelli, A.

Lu, F. F.

Lu, Y. Q.

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Maier, S. A.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer-Verlag, 2007).

Matsushita, T.

T. W. Kim, T. Matsushita, and T. Kondo, Appl. Phys. Express 4, 082201 (2011).
[CrossRef]

McCaughan, L.

A. Chowdhury and L. McCaughan, IEEE Photon. Technol. Lett. 12, 486 (2000).
[CrossRef]

Modotto, D.

Morandotti, R.

Moutzouris, K.

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

Nagle, J.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

Ortiz, V.

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

Rosencher, E.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

Rutkowska, K. A.

Salamo, G.

Scaccabarozzi, L.

Shadrivov, I. V.

Sheng, Y.

Sigal, I.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

Sorel, M.

Ung, B.

Venugopal Rao, S.

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

Volatier, M.

Wagner, S. J.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

D. C. Hutchings, S. J. Wagner, B. M. Holmes, U. Younis, A. S. Helmy, and J. S. Aitchison, Opt. Lett. 35, 1299 (2010).
[CrossRef]

Wu, Z. J.

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Xie, Z. D.

Xu, F.

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Xu, J.

Younis, U.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

D. C. Hutchings, S. J. Wagner, B. M. Holmes, U. Younis, A. S. Helmy, and J. S. Aitchison, Opt. Lett. 35, 1299 (2010).
[CrossRef]

Yu, X.

Yu, Z. Y.

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Zhu, S. N.

Zhu, Y. Y.

Appl. Phys. Express

T. W. Kim, T. Matsushita, and T. Kondo, Appl. Phys. Express 4, 082201 (2011).
[CrossRef]

Appl. Phys. Lett.

K. Moutzouris, S. Venugopal Rao, M. Ebrahimzadeh, A. De Rossi, M. Calligaro, V. Ortiz, and V. Berger, Appl. Phys. Lett. 83, 620 (2003).
[CrossRef]

S. Ducci, L. Lanco, V. Berger, A. De Rossi, V. Ortiz, and M. Calligaro, Appl. Phys. Lett. 84, 2974 (2004).
[CrossRef]

IEEE J. Quantum Electron.

S. J. Wagner, B. M. Holmes, U. Younis, I. Sigal, A. S. Helmy, J. S. Aitchison, and D. C. Hutchings, IEEE J. Quantum Electron. 47, 834 (2011).
[CrossRef]

IEEE Photon. Technol. Lett.

A. Chowdhury and L. McCaughan, IEEE Photon. Technol. Lett. 12, 486 (2000).
[CrossRef]

J. Appl. Phys.

S. Adachi, J. Appl. Phys. 58, R1 (1985).
[CrossRef]

Nature

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature 391, 463 (1998).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. B

Z. J. Wu, X. K. Hu, Z. Y. Yu, W. Hu, F. Xu, and Y. Q. Lu, Phys. Rev. B 82, 155107 (2010).
[CrossRef]

Other

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer-Verlag, 2007).

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Figures (4)

Fig. 1.
Fig. 1.

Slab structure and absolute values of the main electric field transverse components of the modes (normalized with respect to their maxima). Solid black curve: TM plasmonic pump mode (λFF=1602nm); solid dark gray curve: TE0 pump mode at λFF; dashed curve: TE2 SH mode (λSH=801nm).

Fig. 2.
Fig. 2.

FF amplitudes (black curve: FF plasmonic mode; gray curve: FF optical mode) and conversion efficiency multiplied by squared waveguide length (dash-dotted curve).

Fig. 3.
Fig. 3.

Relationship between phase matched pump wavelength λFF and core thickness (solid curve) or cladding thickness (dashed curve) when other dimensions are kept unchanged.

Fig. 4.
Fig. 4.

Ridge structure and absolute values of the main transverse components of involved electric fields (values are shown in a gray scale) at λFF=1603nm: pump plasmonic mode (TM) on the left, optical pump mode (TE00) in the middle, and second harmonic mode (TE02) on the right.

Tables (1)

Tables Icon

Table 1. Multilayer Parameters

Equations (3)

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

|ASH(z)|=ωSHc0nSH|AFF,p||AFF,o|S×exp(αz2)|sinhα+iΔβ2zα+iΔβ2z|z,
PSH(L)=η0exp(αL)|sinh(α2L)α2L|2L2PFF,pPFF,o=η(L)L2PFF,pPFF,o,
η0=32π2λFF21c0ε01nFF,pnFF,onSHS2.

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