Abstract

A method for the reconstruction of near-field optical signals is proposed to produce a tomographylike map of the field above the nanostructures being studied. The data obtained through lock-in detection are processed employing Chebyshev's polynomial function of the distance between the probe and the sample. The method is first applied to numerically generated near-field evanescent data, with three different decreasing lengths, and then applied to an experimental signal. Therefore the contrast of the signal above nanostructures is discussed to underline the discrepancy between the scanning near-field optical microscopy data and the reconstructions.

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2005 (2)

2003 (2)

Q. Liu, J. Kim, T. Fukaya, and J. Tominaga, "Thermal-induced optical properties of a PdOx mask layer in an optical data storage system with a superresolution near-field structure," Opt. Express 11, 2646-2653 (2003).
[CrossRef] [PubMed]

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

2002 (2)

R. Hillenbrand, T. Taubner, and F. Keilmanns, "Phonon-enhanced light-matter interaction at the nanometre scale," Nature 418, 159-162 (2002).
[CrossRef] [PubMed]

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

2001 (2)

A. Nesci, R. Dändliker, and H. Herzig, "Quantitative amplitude and phase measurement by use of a heterodyne scanning near-field optical microscope," Opt. Lett. 26, 208-210 (2001).
[CrossRef]

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

2000 (3)

B. Knoll and F. Keilmann, "Enhanced dielectric contrast in scattering-type scanning near-field optical microscopy," Opt. Commun. 182, 321-328 (2000).
[CrossRef]

P. M. Adam, J. L. Bijeon, G. Viardot, and P. Royer, "Analysis of the influence of the tip vibration in the formation of images in apertureless scanning near-field optical microscopy," Opt. Commun. 174, 91-98 (2000).
[CrossRef]

T. R. Jensen, M. D. Malinsky, C. L. Haynes, and R. P. Van Duyne, "Nanosphere lithography: tunable localized surface plasmon resonance spectra of silver nanoparticles," J. Phys. Chem. B 104, 10549-10556 (2000).
[CrossRef]

1999 (1)

1995 (1)

Abashin, M.

Adam, P. M.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

P. M. Adam, J. L. Bijeon, G. Viardot, and P. Royer, "Analysis of the influence of the tip vibration in the formation of images in apertureless scanning near-field optical microscopy," Opt. Commun. 174, 91-98 (2000).
[CrossRef]

Adam, P.-M.

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

Axt, V. M.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Bachelot, R.

Bijeon, J. L.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

P. M. Adam, J. L. Bijeon, G. Viardot, and P. Royer, "Analysis of the influence of the tip vibration in the formation of images in apertureless scanning near-field optical microscopy," Opt. Commun. 174, 91-98 (2000).
[CrossRef]

Bijeon, J.-L.

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

Boccara, A.

Carminati, R.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

Dändliker, R.

de la Chapelle, M. Lamy

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

Denyer, M.

Diziain, S.

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

Elsaesser, T.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Eshlaghi, S.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Fainman, Y.

Fukaya, T.

Glanemann, M.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Gleyzes, P.

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, London, 1994).

Greffet, J. J.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

Guenther, T.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Hara, M.

Haynes, C. L.

T. R. Jensen, M. D. Malinsky, C. L. Haynes, and R. P. Van Duyne, "Nanosphere lithography: tunable localized surface plasmon resonance spectra of silver nanoparticles," J. Phys. Chem. B 104, 10549-10556 (2000).
[CrossRef]

Herzig, H.

Hillenbrand, R.

R. Hillenbrand, T. Taubner, and F. Keilmanns, "Phonon-enhanced light-matter interaction at the nanometre scale," Nature 418, 159-162 (2002).
[CrossRef] [PubMed]

Hudlet, S.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

Jensen, T. R.

T. R. Jensen, M. D. Malinsky, C. L. Haynes, and R. P. Van Duyne, "Nanosphere lithography: tunable localized surface plasmon resonance spectra of silver nanoparticles," J. Phys. Chem. B 104, 10549-10556 (2000).
[CrossRef]

Keilmann, F.

B. Knoll and F. Keilmann, "Enhanced dielectric contrast in scattering-type scanning near-field optical microscopy," Opt. Commun. 182, 321-328 (2000).
[CrossRef]

Keilmanns, F.

R. Hillenbrand, T. Taubner, and F. Keilmanns, "Phonon-enhanced light-matter interaction at the nanometre scale," Nature 418, 159-162 (2002).
[CrossRef] [PubMed]

Kim, J.

Knoll, B.

B. Knoll and F. Keilmann, "Enhanced dielectric contrast in scattering-type scanning near-field optical microscopy," Opt. Commun. 182, 321-328 (2000).
[CrossRef]

Knoll, W.

Kuhn, T.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Levy, U.

Lienau, C.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Liu, Q.

Malinsky, M. D.

T. R. Jensen, M. D. Malinsky, C. L. Haynes, and R. P. Van Duyne, "Nanosphere lithography: tunable localized surface plasmon resonance spectra of silver nanoparticles," J. Phys. Chem. B 104, 10549-10556 (2000).
[CrossRef]

Märki, I.

Micheletto, R.

Ming, H.

Nakagawa, W.

Nakajima, K.

Nesci, A.

Offenhauser, A.

Porto, J. A.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

Royer, P.

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

P. M. Adam, J. L. Bijeon, G. Viardot, and P. Royer, "Analysis of the influence of the tip vibration in the formation of images in apertureless scanning near-field optical microscopy," Opt. Commun. 174, 91-98 (2000).
[CrossRef]

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, London, 1994).

Salt, M.

Scholl, M.

Stashkevitch, A.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

Sun, X.

Taubner, T.

R. Hillenbrand, T. Taubner, and F. Keilmanns, "Phonon-enhanced light-matter interaction at the nanometre scale," Nature 418, 159-162 (2002).
[CrossRef] [PubMed]

Tominaga, J.

Tortora, P.

Vaccaro, L.

Van Duyne, R. P.

T. R. Jensen, M. D. Malinsky, C. L. Haynes, and R. P. Van Duyne, "Nanosphere lithography: tunable localized surface plasmon resonance spectra of silver nanoparticles," J. Phys. Chem. B 104, 10549-10556 (2000).
[CrossRef]

Viardot, G.

P. M. Adam, J. L. Bijeon, G. Viardot, and P. Royer, "Analysis of the influence of the tip vibration in the formation of images in apertureless scanning near-field optical microscopy," Opt. Commun. 174, 91-98 (2000).
[CrossRef]

Walford, J. N.

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

Wieck, A. D.

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Xie, J.

Zheng, Z.

Appl. Opt. (1)

Chin. Opt. Lett. (1)

J. Appl. Phys. (1)

J. N. Walford, J. A. Porto, R. Carminati, J. J. Greffet, P. M. Adam, S. Hudlet, J. L. Bijeon, A. Stashkevitch, and P. Royer, "Influence of tip modulation on image formation in scanning near-field optical microscopy," J. Appl. Phys. 89, 5159-5169 (2001).
[CrossRef]

J. Phys. Chem. B (1)

T. R. Jensen, M. D. Malinsky, C. L. Haynes, and R. P. Van Duyne, "Nanosphere lithography: tunable localized surface plasmon resonance spectra of silver nanoparticles," J. Phys. Chem. B 104, 10549-10556 (2000).
[CrossRef]

Nature (1)

R. Hillenbrand, T. Taubner, and F. Keilmanns, "Phonon-enhanced light-matter interaction at the nanometre scale," Nature 418, 159-162 (2002).
[CrossRef] [PubMed]

Opt. Commun. (2)

B. Knoll and F. Keilmann, "Enhanced dielectric contrast in scattering-type scanning near-field optical microscopy," Opt. Commun. 182, 321-328 (2000).
[CrossRef]

P. M. Adam, J. L. Bijeon, G. Viardot, and P. Royer, "Analysis of the influence of the tip vibration in the formation of images in apertureless scanning near-field optical microscopy," Opt. Commun. 174, 91-98 (2000).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. Lett. (1)

T. Guenther, C. Lienau, T. Elsaesser, M. Glanemann, V. M. Axt, T. Kuhn, S. Eshlaghi, and A. D. Wieck, "Coherent nonlinear optical response of single quantum dots studied by ultrafast near-field spectroscopy," Phys. Rev. Lett. 89, 057401 (2002).
[PubMed]

Synth. Met. (1)

S. Diziain, P.-M. Adam, J.-L. Bijeon, M. Lamy de la Chapelle, and P. Royer, "Development of an apertureless near-field optical microscope for fluorescence imaging and spectroscopy," Synth. Met. 139, 557-560 (2003).
[CrossRef]

Other (1)

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, London, 1994).

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Figures (6)

Fig. 1
Fig. 1

(a) Mesh of s i ( x , z ) and (b) harmonics computed to simulate the lock-in data.

Fig. 2
Fig. 2

Reconstruction with three harmonics, R 3 ( x , z ) .

Fig. 3
Fig. 3

(a) Reconstruction R 3 for z = 0 and (b) z = 2 A .

Fig. 4
Fig. 4

(a) R 3 ( z = 0 ) , filtered signal, and H i ; (b) R 3 ( z = 2 A ) , filtered signal, and H i .

Fig. 5
Fig. 5

(a) Experimentally detected harmonics H i and (b) reconstruction R i [Eq. (3)].

Fig. 6
Fig. 6

Reconstruction with three harmonics and the dc term R 3 ( x , z ) [Eq. (3)].

Tables (1)

Tables Icon

Table 1 Contrast of Harmonics and Reconstruction Computed for ζ = −1 (z = 0) a

Equations (4)

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

H n ( x ) = f ( 1 / f ) s [ x , z ( t ) ] exp ( j n 2 π f t ) d t .
H n ( x ) = 1 π 1 + 1 s ( x , ζ ) T n ( ζ ) 1 ζ 2 d ζ ,
R N ( x , ζ ) = H 0 T 0 ( ζ ) + 2 n = 1 N H n T n ( ζ ) .
s ( x , z ) = cos ( 2 π x / 200 ) + cos ( 2 π x / 200 ) + exp ( z / D p 1 ) + N g ( SNR = 2 ) + { exp ( z / D p 3 ) if  40  nm < x < + 40  nm, exp ( z / D p 2 ) if  40  nm < x < 120  nm, 0 elsewhere .

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