Light absorption in conical silicon particles

doi:10.1364/OE.21.003891

Light absorption in conical silicon particles

J. Bogdanowicz, M. Gilbert, N. Innocenti, S. Koelling, B. Vanderheyden, and W. Vandervorst »View Author Affiliations

Optics Express, Vol. 21, Issue 3, pp. 3891-3896 (2013)
http://dx.doi.org/10.1364/OE.21.003891

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Abstract

The problem of the absorption of light by a nanoscale dielectric cone is discussed. A simplified solution based on the analytical Mie theory of scattering and absorption by cylindrical objects is proposed and supported by the experimental observation of sharply localized holes in conical silicon tips after high-fluence irradiation. This study reveals that light couples with tapered objects dominantly at specific locations, where the local radius corresponds to one of the resonant radii of a cylindrical object, as predicted by Mie theory.

OCIS Codes
(140.3330) Lasers and laser optics : Laser damage
(160.6000) Materials : Semiconductor materials
(290.2200) Scattering : Extinction
(290.4020) Scattering : Mie theory
(300.1030) Spectroscopy : Absorption
(350.3390) Other areas of optics : Laser materials processing

ToC Category:
Scattering

History
Original Manuscript: December 20, 2012
Revised Manuscript: January 28, 2013
Manuscript Accepted: January 28, 2013
Published: February 8, 2013

Virtual Issues
Vol. 8, Iss. 3 Virtual Journal for Biomedical Optics

Citation
J. Bogdanowicz, M. Gilbert, N. Innocenti, S. Koelling, B. Vanderheyden, and W. Vandervorst, "Light absorption in conical silicon particles," Opt. Express 21, 3891-3896 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-3-3891

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References

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, “T-matrix theory of electromagnetic scattering by particles and its applications: a comprehensive reference database,” J. Quant. Spectrosc. Radiat. Transf.88, 357–406 (2004).
M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, “Comprehensive T-matrix reference database: a 2007-2009 update,” J. Quant. Spectrosc. Radiat. Transf.111(4), 650–658 (2010). [CrossRef]
L. Novotny, R. X. Bian, and X. S. Xie, “Theory of nanometric optical tweezers,” Phys. Rev. Lett.79(4), 645–648 (1997). [CrossRef]
J. Zhu, Z. Yu, G. F. Burkhard, C. M. Hsu, S. T. Connor, Y. Xu, Q. Wang, M. McGehee, S. Fan, and Y. Cui, “Optical absorption enhancement in amorphous silicon nanowire and nanocone arrays,” Nano Lett.9(1), 279–282 (2009). [CrossRef] [PubMed]
M. Idemen, “Confluent tip singularity of the electromagnetic field at the apex of a material cone,” Wave Motion38(3), 251–277 (2003). [CrossRef]
M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: A review,” J. Quant. Spectrosc. Radiat. Transf.55(5), 535–575 (1996). [CrossRef]
L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge, 2006).
A. Vella, B. Deconihout, L. Marrucci, and E. Santamato, “Femtosecond field ion emission by surface optical rectification,” Phys. Rev. Lett.99(4), 046103 (2007). [CrossRef] [PubMed]
A. Vella, N. Sevelin-Radiguet, J. Houard, and B. Deconihout, “Polarization dependence of the optical absorption of a subwavelength tip,” Appl. Surf. Sci.258(23), 9202–9207 (2012). [CrossRef]
C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
P. W. Barber and S. C. Hill, Light Scattering by Particles (World Scientific, 1990).
R. Menzel, Photonics, 2nd ed. (Springer, 2007).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Courier Dover Publications, 1965)
T. Yasuda and D. E. Aspnes, “Optical-standard surfaces of single-crystal silicon for calibrating ellipsometers and reflectometers,” Appl. Opt.33(31), 7435–7438 (1994). [CrossRef] [PubMed]
C. F. Bohren, “Scattering by a sphere and reflection by a slab: some notable similarities,” Appl. Opt.27(2), 205–206 (1988). [CrossRef] [PubMed]
K. G. Ayappa, H. T. Davis, S. A. Barringer, and E. A. Davis, “Resonant microwave power absorption in slabs and cylinders,” AIChE J.43(3), 615–624 (1997). [CrossRef]
B. Gault, F. Vurpillot, A. Vella, M. Gilbert, A. Menand, D. Blavette, and B. Deconihout, “Design of a femtosecond laser assisted tomographic atom probe,” Rev. Sci. Instrum.77(4), 043705 (2006). [CrossRef]
A. D. Bristow, N. Rotenberg, and H. M. Van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett.90(19), 191104 (2007). [CrossRef]
B. R. Tull, “Femtosecond laser ablation of silicon: nanoparticles, doping and photovoltaics,” PhD thesis, Harvard University (2007)
A. R. Jones, “Some calculations on the internal electromagnetic fluxes of cylinders,” J. Opt.14(6), 065702 (2012). [CrossRef]
H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66(7-8), 163–182 (1944). [CrossRef]
A. W. Snyder and J. D. Love, Optical waveguide theory (Springer, 1983)
L. Tong, J. Lou, and E. Mazur, “Single-mode guiding properties of subwavelength-diameter silica and silicon wire waveguides,” Opt. Express12(6), 1025–1035 (2004). [CrossRef] [PubMed]
A. W. Snyder, C. Pask, and D. J. Mitchell, “Light-acceptance property of an optical fiber,” J. Opt. Soc. Am.63(1), 59–64 (1973). [CrossRef] [PubMed]
P. Spinelli, M. A. Verschuuren, and A. Polman, “Broadband omnidirectional antireflection coating based on subwavelength surface Mie resonators,” Nat Commun3, 692 (2012). [CrossRef] [PubMed]
Y. Qiu, H.-C. Hao, J. Zhou, and M. Lu, “A close to unity and all-solar-spectrum absorption by ion-sputtering induced Si nanocone arrays,” Opt. Express20(20), 22087–22094 (2012). [CrossRef] [PubMed]

AIChE J.

K. G. Ayappa, H. T. Davis, S. A. Barringer, and E. A. Davis, “Resonant microwave power absorption in slabs and cylinders,” AIChE J.43(3), 615–624 (1997). [CrossRef]

Appl. Opt.

Appl. Phys. Lett.

A. D. Bristow, N. Rotenberg, and H. M. Van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett.90(19), 191104 (2007). [CrossRef]

Appl. Surf. Sci.

A. Vella, N. Sevelin-Radiguet, J. Houard, and B. Deconihout, “Polarization dependence of the optical absorption of a subwavelength tip,” Appl. Surf. Sci.258(23), 9202–9207 (2012). [CrossRef]

J. Opt.

A. R. Jones, “Some calculations on the internal electromagnetic fluxes of cylinders,” J. Opt.14(6), 065702 (2012). [CrossRef]

J. Opt. Soc. Am.

A. W. Snyder, C. Pask, and D. J. Mitchell, “Light-acceptance property of an optical fiber,” J. Opt. Soc. Am.63(1), 59–64 (1973). [CrossRef] [PubMed]

J. Quant. Spectrosc. Radiat. Transf.

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, “T-matrix theory of electromagnetic scattering by particles and its applications: a comprehensive reference database,” J. Quant. Spectrosc. Radiat. Transf.88, 357–406 (2004).
M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, “Comprehensive T-matrix reference database: a 2007-2009 update,” J. Quant. Spectrosc. Radiat. Transf.111(4), 650–658 (2010). [CrossRef]
M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: A review,” J. Quant. Spectrosc. Radiat. Transf.55(5), 535–575 (1996). [CrossRef]

Nano Lett.

J. Zhu, Z. Yu, G. F. Burkhard, C. M. Hsu, S. T. Connor, Y. Xu, Q. Wang, M. McGehee, S. Fan, and Y. Cui, “Optical absorption enhancement in amorphous silicon nanowire and nanocone arrays,” Nano Lett.9(1), 279–282 (2009). [CrossRef] [PubMed]

Nat Commun

P. Spinelli, M. A. Verschuuren, and A. Polman, “Broadband omnidirectional antireflection coating based on subwavelength surface Mie resonators,” Nat Commun3, 692 (2012). [CrossRef] [PubMed]

Opt. Express

Phys. Rev.

H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66(7-8), 163–182 (1944). [CrossRef]

Phys. Rev. Lett.

A. Vella, B. Deconihout, L. Marrucci, and E. Santamato, “Femtosecond field ion emission by surface optical rectification,” Phys. Rev. Lett.99(4), 046103 (2007). [CrossRef] [PubMed]
L. Novotny, R. X. Bian, and X. S. Xie, “Theory of nanometric optical tweezers,” Phys. Rev. Lett.79(4), 645–648 (1997). [CrossRef]

Rev. Sci. Instrum.

B. Gault, F. Vurpillot, A. Vella, M. Gilbert, A. Menand, D. Blavette, and B. Deconihout, “Design of a femtosecond laser assisted tomographic atom probe,” Rev. Sci. Instrum.77(4), 043705 (2006). [CrossRef]

Wave Motion

M. Idemen, “Confluent tip singularity of the electromagnetic field at the apex of a material cone,” Wave Motion38(3), 251–277 (2003). [CrossRef]

Other

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
P. W. Barber and S. C. Hill, Light Scattering by Particles (World Scientific, 1990).
R. Menzel, Photonics, 2nd ed. (Springer, 2007).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Courier Dover Publications, 1965)
B. R. Tull, “Femtosecond laser ablation of silicon: nanoparticles, doping and photovoltaics,” PhD thesis, Harvard University (2007)
L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge, 2006).
A. W. Snyder and J. D. Love, Optical waveguide theory (Springer, 1983)

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[1] M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, “T-matrix theory of electromagnetic scattering by particles and its applications: a comprehensive reference database,” J. Quant. Spectrosc. Radiat. Transf.88, 357–406 (2004).

[2] M. I. Mishchenko, N. T. Zakharova, G. Videen, N. G. Khlebtsov, and T. Wriedt, “Comprehensive T-matrix reference database: a 2007-2009 update,” J. Quant. Spectrosc. Radiat. Transf.111(4), 650–658 (2010). [CrossRef]

[3] L. Novotny, R. X. Bian, and X. S. Xie, “Theory of nanometric optical tweezers,” Phys. Rev. Lett.79(4), 645–648 (1997). [CrossRef]

[4] J. Zhu, Z. Yu, G. F. Burkhard, C. M. Hsu, S. T. Connor, Y. Xu, Q. Wang, M. McGehee, S. Fan, and Y. Cui, “Optical absorption enhancement in amorphous silicon nanowire and nanocone arrays,” Nano Lett.9(1), 279–282 (2009). [CrossRef] [PubMed]

[5] M. Idemen, “Confluent tip singularity of the electromagnetic field at the apex of a material cone,” Wave Motion38(3), 251–277 (2003). [CrossRef]

[6] M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, “T-matrix computations of light scattering by nonspherical particles: A review,” J. Quant. Spectrosc. Radiat. Transf.55(5), 535–575 (1996). [CrossRef]

[7] L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge, 2006).

[8] A. Vella, B. Deconihout, L. Marrucci, and E. Santamato, “Femtosecond field ion emission by surface optical rectification,” Phys. Rev. Lett.99(4), 046103 (2007). [CrossRef] [PubMed]

[9] A. Vella, N. Sevelin-Radiguet, J. Houard, and B. Deconihout, “Polarization dependence of the optical absorption of a subwavelength tip,” Appl. Surf. Sci.258(23), 9202–9207 (2012). [CrossRef]

[10] C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

[11] P. W. Barber and S. C. Hill, Light Scattering by Particles (World Scientific, 1990).

[12] R. Menzel, Photonics, 2nd ed. (Springer, 2007).

[13] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Courier Dover Publications, 1965)

[14] T. Yasuda and D. E. Aspnes, “Optical-standard surfaces of single-crystal silicon for calibrating ellipsometers and reflectometers,” Appl. Opt.33(31), 7435–7438 (1994). [CrossRef] [PubMed]

[15] C. F. Bohren, “Scattering by a sphere and reflection by a slab: some notable similarities,” Appl. Opt.27(2), 205–206 (1988). [CrossRef] [PubMed]

[16] K. G. Ayappa, H. T. Davis, S. A. Barringer, and E. A. Davis, “Resonant microwave power absorption in slabs and cylinders,” AIChE J.43(3), 615–624 (1997). [CrossRef]

[17] B. Gault, F. Vurpillot, A. Vella, M. Gilbert, A. Menand, D. Blavette, and B. Deconihout, “Design of a femtosecond laser assisted tomographic atom probe,” Rev. Sci. Instrum.77(4), 043705 (2006). [CrossRef]

[18] A. D. Bristow, N. Rotenberg, and H. M. Van Driel, “Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm,” Appl. Phys. Lett.90(19), 191104 (2007). [CrossRef]

[19] B. R. Tull, “Femtosecond laser ablation of silicon: nanoparticles, doping and photovoltaics,” PhD thesis, Harvard University (2007)

[20] A. R. Jones, “Some calculations on the internal electromagnetic fluxes of cylinders,” J. Opt.14(6), 065702 (2012). [CrossRef]

[21] H. A. Bethe, “Theory of diffraction by small holes,” Phys. Rev.66(7-8), 163–182 (1944). [CrossRef]

[22] A. W. Snyder and J. D. Love, Optical waveguide theory (Springer, 1983)

[23] L. Tong, J. Lou, and E. Mazur, “Single-mode guiding properties of subwavelength-diameter silica and silicon wire waveguides,” Opt. Express12(6), 1025–1035 (2004). [CrossRef] [PubMed]

[24] A. W. Snyder, C. Pask, and D. J. Mitchell, “Light-acceptance property of an optical fiber,” J. Opt. Soc. Am.63(1), 59–64 (1973). [CrossRef] [PubMed]

[25] P. Spinelli, M. A. Verschuuren, and A. Polman, “Broadband omnidirectional antireflection coating based on subwavelength surface Mie resonators,” Nat Commun3, 692 (2012). [CrossRef] [PubMed]

[26] Y. Qiu, H.-C. Hao, J. Zhou, and M. Lu, “A close to unity and all-solar-spectrum absorption by ion-sputtering induced Si nanocone arrays,” Opt. Express20(20), 22087–22094 (2012). [CrossRef] [PubMed]

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Light absorption in conical silicon particles

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Abstract

References

AIChE J.

Appl. Opt.

Appl. Phys. Lett.

Appl. Surf. Sci.

J. Opt.

J. Opt. Soc. Am.

J. Quant. Spectrosc. Radiat. Transf.

Nano Lett.

Nat Commun

Opt. Express

Phys. Rev.

Phys. Rev. Lett.

Rev. Sci. Instrum.

Wave Motion

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