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Alfredo Dubra's PhD thesis - Imperial College London

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5. Preliminary experiments<br />

1<br />

10<br />

1<br />

20<br />

15<br />

0<br />

5<br />

0<br />

10<br />

5<br />

-1<br />

0<br />

-1<br />

0<br />

-1 0 1<br />

-1 0 1<br />

Figure 5.4: Reconstructed topography of two simulated small bubbles, of around 0.13<br />

and 0.26 mm in diameter, with heights (depths) of 11 and 22 nm respectively. The axis<br />

units are millimeters and the units on the color scale are nanometers. The error in<br />

the peak-to-valley value in each of the reconstructed topographies versus the original<br />

simulated phase is 15 % and 10 % respectively.<br />

the µPhase2, and it was found that the values differ by around 6%.<br />

5.4 Small detail test<br />

When developing the software the question of whether any small detail could be seen<br />

in the final tear topography arose, because of the non-linear filtering in the Fourier<br />

domain and the smoothing that occurs in the unwrapping and integration processes.<br />

Therefore, some interferograms that would result from a flat tear topography and a<br />

series of bubbles with increasing size were simulated. Figure 5.4 shows the reconstructed<br />

topography of two small bubbles, of around 0.13 and 0.26 mm in diameter,<br />

with heights (depths) of 11 and 22 nm respectively. The errors in the peak-to-valley<br />

in each of the reconstructed topographies with respect to the original simulated topography<br />

are 15% and 10% respectively, suggesting that the presence of small details<br />

can in principle be detected.<br />

88

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