Theoretical analysis of enhanced nonlinear conversion from metallo-dielectric nano-structures

doi:10.1364/OE.20.016258

Theoretical analysis of enhanced nonlinear conversion from metallo-dielectric nano-structures

Elsie Barakat, Maria-Pilar Bernal, and Fadi Issam Baida »View Author Affiliations

Optics Express, Vol. 20, Issue 15, pp. 16258-16268 (2012)
http://dx.doi.org/10.1364/OE.20.016258

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Abstract

A new configuration of sub-wavelength silver coaxial apertures filled with Lithium Niobate (LN) is proposed to enhance the Second Harmonic Generation (SHG) in transmission mode. The chosen geometrical parameters allows having both TE₁₁ guided mode excitation for local field confinement of the fundamental signal and Fabry-Perot high transmission of the SH wave. Furthermore, an implementation of the three-dimensional Finite Difference Time Domain (3D-FDTD) method for nonlinear optical simulation is described. This method provides a direct calculation of the nonlinear polarizations before calculating the nonlinear electric and magnetic fields. FDTD studies shows that by embedding metallic nano-structures, for exciting TE₁₁ like-mode inside a nonlinear material (LN), we achieve a SH signal 27 times higher than that generated on unpatterned LN.

OCIS Codes
(130.3730) Integrated optics : Lithium niobate
(130.4310) Integrated optics : Nonlinear
(190.2620) Nonlinear optics : Harmonic generation and mixing
(160.3918) Materials : Metamaterials

ToC Category:
Nonlinear Optics

History
Original Manuscript: May 15, 2012
Revised Manuscript: June 22, 2012
Manuscript Accepted: June 22, 2012
Published: July 2, 2012

Citation
Elsie Barakat, Maria-Pilar Bernal, and Fadi Issam Baida, "Theoretical analysis of enhanced nonlinear conversion from metallo-dielectric nano-structures," Opt. Express 20, 16258-16268 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-15-16258

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References

R. Raad, E. Inaty, P. Fortier, and H. M. H. Shalaby, “Optical S-ALOHA/CDMA Systems for Multirate Applications: Architecture, Performance Evaluation, and System Stability,” J. Lightwave Technol.24, 1968–1977 (2006). [CrossRef]
E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58, 2059–2062 (1987). [CrossRef] [PubMed]
S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58, 2486–2489 (1987). [CrossRef] [PubMed]
T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature (London)391, 667–669 (1998). [CrossRef]
H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature (London)452, 728–731 (2008). [CrossRef]
F. I. Baida and D. Van Labeke, “Light transmission by subwavelength annular aperture arrays in metallic films,” Opt. Commun.209, 17–22 (2002). [CrossRef]
F. I. Baida and D. Van Labeke, “Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays,” Phys. Rev. B67, 155314–155317 (2003). [CrossRef]
F. I. Baida, A. Belkhir, D. Van Labeke, and O. Lamrous, “Subwavelength metallic coaxial waveguides in the optical range: Role of the plasmonic modes,” Phys. Rev. B74, 205419–205426 (2006). [CrossRef]
J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, “Strong Modification of the Nonlinear Optical Response of Metallic Subwavelength Hole Arrays,” Phys. Rev. B97, 146102–146106 (2006). [CrossRef]
S. Park, J. W. Hahn, and J. Y. Lee, “Doubly resonant metallic nanostructure for high conversion efficiency of second harmonic generation,” Opt. Express4, 4856–4871 (2012). [CrossRef]
E. A. Mamonov, T. V. Murzina, I. A. Kolmychek, A. I. Maydykovsky, V. K. Valev, A. V. Silhanek, E. Ponizovskaya, A. Bratkovsky, T. Verbiest, V. V. Moshchalkov, and O. A. Aktsipetrov, “Coherent and incoherent second harmonic generation in planar G-shaped nanostructures,” Opt. Lett.36, 3681–3683 (2011). [CrossRef] [PubMed]
B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, “Local Field Asymmetry Drives Second-Harmonic Generation in Noncentrosymmetric Nanodimers,” Nano Lett.20, 1251–1255 (2007). [CrossRef]
R. Zhou, H. Lu, X. Liu, Y. Gong, and D. Mao, “Second-harmonic generation from a periodic array of noncentrosymmetric nanoholes,” J. Opt. Soc. Am. B27, 2405–2409 (2010). [CrossRef]
Y. Zeng, W. Hoyer, J. Liu, S. W. Koch, and J. V. Moloney, “Classical theory for second-harmonic generation from metallic nanoparticles,” Phys. Rev. B79, 235109–235118 (2009). [CrossRef]
M. Roussey, M.-P. Bernal, N. Courjal, and F. I. Baida, “Experimental and theoretical characterization of a lithium niobate photonic crystal,” Appl. Phys. Lett.87, 241101–241104 (2005). [CrossRef]
P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett.7, 118–119 (1961). [CrossRef]
E. Barakat, M.-P. Bernal, and F. I. Baida, “Second harmonic generation enhancement by use of annular aperture arrays embedded into silver and filled by lithium niobate,” Opt. Express18, 6530–6536 (2010). [CrossRef] [PubMed]
A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House Publishers, 2005).
M. N.O. Sadiku, Numerical Techniques in Electromagnetics (CRC Press, 2000). [CrossRef]
Y. R. Shen, The Principles of Nonlinear Optics (Wiley Interscience, 1984).
A. Bouhelier, M. Beversluis, A. Hartschuh, and L. Novotny, “Near-Field Second-Harmonic Generation Induced by Local Field Enhancement,” Phys. Rev. Lett.90, 13903–13907 (2003). [CrossRef]
K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag.14, 302–307 (1966). [CrossRef]
J. Dahdah, J. Hoblos, and F. I. Baida, “Nano-coaxial waveguide grating as quarter-wave plates in the visible range,” IEEE Photon. J.4, 87–94 (2011). [CrossRef]
W. Sellmeier, “Zur Erklrung der abnormen Farbenfolge im Spectrum einiger Substanzen,” Ann. Phys. Chem.219, 272–282 (1981).
W. Fan, S. Zhang, N.-C. Panoiu, A. Abdenour, S. Krishna, R. M. Osgood, K. J. Malloy, and S. R. J. Brueck, “Second harmonic generation from a nanopatterned isotropic nonlinear material,” Nano Lett.6, 1027–1030 (2006). [CrossRef]

Ann. Phys. Chem.

W. Sellmeier, “Zur Erklrung der abnormen Farbenfolge im Spectrum einiger Substanzen,” Ann. Phys. Chem.219, 272–282 (1981).

Appl. Phys. Lett.

M. Roussey, M.-P. Bernal, N. Courjal, and F. I. Baida, “Experimental and theoretical characterization of a lithium niobate photonic crystal,” Appl. Phys. Lett.87, 241101–241104 (2005). [CrossRef]

IEEE Photon. J.

J. Dahdah, J. Hoblos, and F. I. Baida, “Nano-coaxial waveguide grating as quarter-wave plates in the visible range,” IEEE Photon. J.4, 87–94 (2011). [CrossRef]

IEEE Trans. Antennas Propag.

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag.14, 302–307 (1966). [CrossRef]

J. Lightwave Technol.

R. Raad, E. Inaty, P. Fortier, and H. M. H. Shalaby, “Optical S-ALOHA/CDMA Systems for Multirate Applications: Architecture, Performance Evaluation, and System Stability,” J. Lightwave Technol.24, 1968–1977 (2006). [CrossRef]

J. Opt. Soc. Am. B

R. Zhou, H. Lu, X. Liu, Y. Gong, and D. Mao, “Second-harmonic generation from a periodic array of noncentrosymmetric nanoholes,” J. Opt. Soc. Am. B27, 2405–2409 (2010). [CrossRef]

Nano Lett.

B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, “Local Field Asymmetry Drives Second-Harmonic Generation in Noncentrosymmetric Nanodimers,” Nano Lett.20, 1251–1255 (2007). [CrossRef]
W. Fan, S. Zhang, N.-C. Panoiu, A. Abdenour, S. Krishna, R. M. Osgood, K. J. Malloy, and S. R. J. Brueck, “Second harmonic generation from a nanopatterned isotropic nonlinear material,” Nano Lett.6, 1027–1030 (2006). [CrossRef]

Nature (London)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature (London)391, 667–669 (1998). [CrossRef]
H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature (London)452, 728–731 (2008). [CrossRef]

Opt. Commun.

F. I. Baida and D. Van Labeke, “Light transmission by subwavelength annular aperture arrays in metallic films,” Opt. Commun.209, 17–22 (2002). [CrossRef]

Opt. Express

S. Park, J. W. Hahn, and J. Y. Lee, “Doubly resonant metallic nanostructure for high conversion efficiency of second harmonic generation,” Opt. Express4, 4856–4871 (2012). [CrossRef]
E. Barakat, M.-P. Bernal, and F. I. Baida, “Second harmonic generation enhancement by use of annular aperture arrays embedded into silver and filled by lithium niobate,” Opt. Express18, 6530–6536 (2010). [CrossRef] [PubMed]

Opt. Lett.

E. A. Mamonov, T. V. Murzina, I. A. Kolmychek, A. I. Maydykovsky, V. K. Valev, A. V. Silhanek, E. Ponizovskaya, A. Bratkovsky, T. Verbiest, V. V. Moshchalkov, and O. A. Aktsipetrov, “Coherent and incoherent second harmonic generation in planar G-shaped nanostructures,” Opt. Lett.36, 3681–3683 (2011). [CrossRef] [PubMed]

Phys. Rev. B

F. I. Baida and D. Van Labeke, “Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays,” Phys. Rev. B67, 155314–155317 (2003). [CrossRef]
F. I. Baida, A. Belkhir, D. Van Labeke, and O. Lamrous, “Subwavelength metallic coaxial waveguides in the optical range: Role of the plasmonic modes,” Phys. Rev. B74, 205419–205426 (2006). [CrossRef]
J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, “Strong Modification of the Nonlinear Optical Response of Metallic Subwavelength Hole Arrays,” Phys. Rev. B97, 146102–146106 (2006). [CrossRef]
Y. Zeng, W. Hoyer, J. Liu, S. W. Koch, and J. V. Moloney, “Classical theory for second-harmonic generation from metallic nanoparticles,” Phys. Rev. B79, 235109–235118 (2009). [CrossRef]

Phys. Rev. Lett.

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett.7, 118–119 (1961). [CrossRef]
E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58, 2059–2062 (1987). [CrossRef] [PubMed]
S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58, 2486–2489 (1987). [CrossRef] [PubMed]
A. Bouhelier, M. Beversluis, A. Hartschuh, and L. Novotny, “Near-Field Second-Harmonic Generation Induced by Local Field Enhancement,” Phys. Rev. Lett.90, 13903–13907 (2003). [CrossRef]

Other

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House Publishers, 2005).
M. N.O. Sadiku, Numerical Techniques in Electromagnetics (CRC Press, 2000). [CrossRef]
Y. R. Shen, The Principles of Nonlinear Optics (Wiley Interscience, 1984).

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[1] R. Raad, E. Inaty, P. Fortier, and H. M. H. Shalaby, “Optical S-ALOHA/CDMA Systems for Multirate Applications: Architecture, Performance Evaluation, and System Stability,” J. Lightwave Technol.24, 1968–1977 (2006). [CrossRef]

[2] E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58, 2059–2062 (1987). [CrossRef] [PubMed]

[3] S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58, 2486–2489 (1987). [CrossRef] [PubMed]

[4] T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature (London)391, 667–669 (1998). [CrossRef]

[5] H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature (London)452, 728–731 (2008). [CrossRef]

[6] F. I. Baida and D. Van Labeke, “Light transmission by subwavelength annular aperture arrays in metallic films,” Opt. Commun.209, 17–22 (2002). [CrossRef]

[7] F. I. Baida and D. Van Labeke, “Three-dimensional structures for enhanced transmission through a metallic film: Annular aperture arrays,” Phys. Rev. B67, 155314–155317 (2003). [CrossRef]

[8] F. I. Baida, A. Belkhir, D. Van Labeke, and O. Lamrous, “Subwavelength metallic coaxial waveguides in the optical range: Role of the plasmonic modes,” Phys. Rev. B74, 205419–205426 (2006). [CrossRef]

[9] J. A. H. van Nieuwstadt, M. Sandtke, R. H. Harmsen, F. B. Segerink, J. C. Prangsma, S. Enoch, and L. Kuipers, “Strong Modification of the Nonlinear Optical Response of Metallic Subwavelength Hole Arrays,” Phys. Rev. B97, 146102–146106 (2006). [CrossRef]

[10] S. Park, J. W. Hahn, and J. Y. Lee, “Doubly resonant metallic nanostructure for high conversion efficiency of second harmonic generation,” Opt. Express4, 4856–4871 (2012). [CrossRef]

[11] E. A. Mamonov, T. V. Murzina, I. A. Kolmychek, A. I. Maydykovsky, V. K. Valev, A. V. Silhanek, E. Ponizovskaya, A. Bratkovsky, T. Verbiest, V. V. Moshchalkov, and O. A. Aktsipetrov, “Coherent and incoherent second harmonic generation in planar G-shaped nanostructures,” Opt. Lett.36, 3681–3683 (2011). [CrossRef] [PubMed]

[12] B. K. Canfield, H. Husu, J. Laukkanen, B. Bai, M. Kuittinen, J. Turunen, and M. Kauranen, “Local Field Asymmetry Drives Second-Harmonic Generation in Noncentrosymmetric Nanodimers,” Nano Lett.20, 1251–1255 (2007). [CrossRef]

[13] R. Zhou, H. Lu, X. Liu, Y. Gong, and D. Mao, “Second-harmonic generation from a periodic array of noncentrosymmetric nanoholes,” J. Opt. Soc. Am. B27, 2405–2409 (2010). [CrossRef]

[14] Y. Zeng, W. Hoyer, J. Liu, S. W. Koch, and J. V. Moloney, “Classical theory for second-harmonic generation from metallic nanoparticles,” Phys. Rev. B79, 235109–235118 (2009). [CrossRef]

[15] M. Roussey, M.-P. Bernal, N. Courjal, and F. I. Baida, “Experimental and theoretical characterization of a lithium niobate photonic crystal,” Appl. Phys. Lett.87, 241101–241104 (2005). [CrossRef]

[16] P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett.7, 118–119 (1961). [CrossRef]

[17] E. Barakat, M.-P. Bernal, and F. I. Baida, “Second harmonic generation enhancement by use of annular aperture arrays embedded into silver and filled by lithium niobate,” Opt. Express18, 6530–6536 (2010). [CrossRef] [PubMed]

[18] A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House Publishers, 2005).

[19] M. N.O. Sadiku, Numerical Techniques in Electromagnetics (CRC Press, 2000). [CrossRef]

[20] Y. R. Shen, The Principles of Nonlinear Optics (Wiley Interscience, 1984).

[21] A. Bouhelier, M. Beversluis, A. Hartschuh, and L. Novotny, “Near-Field Second-Harmonic Generation Induced by Local Field Enhancement,” Phys. Rev. Lett.90, 13903–13907 (2003). [CrossRef]

[22] K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag.14, 302–307 (1966). [CrossRef]

[23] J. Dahdah, J. Hoblos, and F. I. Baida, “Nano-coaxial waveguide grating as quarter-wave plates in the visible range,” IEEE Photon. J.4, 87–94 (2011). [CrossRef]

[24] W. Sellmeier, “Zur Erklrung der abnormen Farbenfolge im Spectrum einiger Substanzen,” Ann. Phys. Chem.219, 272–282 (1981).

[25] W. Fan, S. Zhang, N.-C. Panoiu, A. Abdenour, S. Krishna, R. M. Osgood, K. J. Malloy, and S. R. J. Brueck, “Second harmonic generation from a nanopatterned isotropic nonlinear material,” Nano Lett.6, 1027–1030 (2006). [CrossRef]

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Optics Express

Theoretical analysis of enhanced nonlinear conversion from metallo-dielectric nano-structures

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Abstract

References

Ann. Phys. Chem.

Appl. Phys. Lett.

IEEE Photon. J.

IEEE Trans. Antennas Propag.

J. Lightwave Technol.

J. Opt. Soc. Am. B

Nano Lett.

Nature (London)

Opt. Commun.

Opt. Express

Opt. Lett.

Phys. Rev. B

Phys. Rev. Lett.

Other

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