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Far-field background suppression in tip-modulated apertureless near-field optical microscopy
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10.1063/1.2208527
/content/aip/journal/jap/99/12/10.1063/1.2208527
http://aip.metastore.ingenta.com/content/aip/journal/jap/99/12/10.1063/1.2208527

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the experimental setup.

Image of FIG. 2.
FIG. 2.

Plot of the background signals [(a) and (c)], (b), and (d) vs the sample position.

Image of FIG. 3.
FIG. 3.

(Color online) Dependence of the BKG modulation amplitudes [(a)–(c) respectively] on the tuning-fork current (bottom axes) and on the tip oscillation amplitude (top axes). The linear behavior of is pointed out by a linear fit [(b), red line)]. A power fit (, ) of the second harmonic BKG amplitude [(c), red line)] evidences the quadratic dependence on .

Image of FIG. 4.
FIG. 4.

(Color online) Plot of the -harmonic-to-dc-BKG ratio as a function of the tip oscillation amplitude for first (a) and second harmonic (b) demodulations. The red lines reproduce the linear (a) and quadratic (b) fits of the experimental data.

Image of FIG. 5.
FIG. 5.

(Color online) (black symbols) Plot of the dc background observed when removing the tip from the optical path as a function of the sample position. (red line) Sinusoidal fit of the experimental data [, ].

Image of FIG. 6.
FIG. 6.

(Color online) Plot of the background modulation amplitudes at the various harmonics [dc (black), first (red), second (blue), and third (green)] as a function of the ratio (bottom axis) and of assuming (top axis).

Image of FIG. 7.
FIG. 7.

(Color online) Values of the tip oscillation amplitude corresponding to the first zeros of the Bessel functions for various wavelengths .

Image of FIG. 8.
FIG. 8.

(Color online) Approach curves predicted for the dc background (a) and the modulus of the first three harmonics [(b)–(d), respectively] base on Eqs. (5)–(7), for and . The colored circles and the arrows indicate how the optical signal changes as a function of an increased sample topography.

Image of FIG. 9.
FIG. 9.

(Color online) [(b) and (f)] dc, [(c) and (g)] first harmonic, and [(d) and (h)] second harmonic BKG maps simulated for a topography [(a) and (e)] consisting of pillars on a horizontal substrate, having heights of 30 and , respectively.

Image of FIG. 10.
FIG. 10.

[(a)–(h)] Line profiles drawn in correspondence of the red lines marked in Fig. 9. The optical profiles reproduce the topography only for the high pillars.

Image of FIG. 11.
FIG. 11.

(Color online) [(b) and (f)] dc, [(c) and (g)] first harmonic, and [(d) and (h)] second harmonic BKG maps simulated a topography [(a) and (e)] consisting of pillars on an wedgelike substrate (inclination 10°), having heights of 30 and , respectively.

Tables

Generic image for table
Table I.

Theoretical values of the ratios , corresponding to the zeros of the Bessel functions, that yield complete background suppression at each harmonic . The values indicate the precision needed on to have a BKG rejection better than at every harmonic.

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/content/aip/journal/jap/99/12/10.1063/1.2208527
2006-06-29
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Far-field background suppression in tip-modulated apertureless near-field optical microscopy
http://aip.metastore.ingenta.com/content/aip/journal/jap/99/12/10.1063/1.2208527
10.1063/1.2208527
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