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William Angerer - Department of Physics and Astronomy - University ...

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175<br />

microscopy attempts to correlate relatively large changes in the nonlinear response<br />

<strong>of</strong> a medium with local changes in electronic or structural properties. ~onli~c~r nptical<br />

microscopy probes the local structure or symmetry <strong>of</strong> a medium by focusing<br />

the fundamental beam to ",3 pm. Ideally, one probes structural changes that cannot<br />

be observed by linear optical techniques. For example, because <strong>of</strong> its high spatial<br />

sensitivity, the nonlinear optical microscope appears well suited to investigate the<br />

nonlinear optical properties <strong>of</strong> carbon nanoropes. Measurements <strong>of</strong> a single carbon<br />

nanorope have the potential to provide a more accurate determination <strong>of</strong> nanotube<br />

nonlinear optical properties than measurements <strong>of</strong> a sample that consists <strong>of</strong> an ensemble<br />

<strong>of</strong> tubes or nanoropes. In contrast to SHG experiments from a sample <strong>of</strong><br />

r<strong>and</strong>omly oriented nanoropes, SHG microscopy may isolate susceptibility elements<br />

from a single nanorope, or a dilute collection <strong>of</strong> oriented nanotubes.<br />

This chapter is organized as follows. vVe first discuss the historical development<br />

<strong>of</strong> nonlinear optical microscopy. \Ve then describe our nonlinear optical microscope.<br />

This section includes a discussion on the detectability limits <strong>of</strong> the microscope <strong>and</strong><br />

determines an upper bound on the nonlinearity <strong>of</strong> the carbon nanotubes from this<br />

limit.<br />

Reproduced with permission <strong>of</strong> the copyright owner. Further reproduction prohibited without permission.

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