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Polarized optical microscopy and spectroscopy are progressively becoming keymethods for the high-throughput characterization of individual carbon nanotubes(CNTs) and other one-dimensional nanostructures, on substrate and in devices.The optical response of CNTs on substrate in cross polarization experiments isusually limited by the polarization conservation of the optical elements in theexperimental setup. We developed a theoretical model taking into account thedepolarization by the setup and the optical response of the substrate. We showthat proper modelization of the experimental data requires to take into accountboth non-coherent and coherent light depolarization by the optical elements. Wealso show how the nanotube signal can be decoupled from the complex reflectionfactor of the anti-reflection substrate which is commonly used to enhance theoptical contrast. Finally, we describe an experimental protocol to extract thedepolarization parameters and the complex nanotube susceptibility, and how itcan improve the chirality assignment of individual carbon nanotubes in complexcases.

A comprehensive model of the optical spectra of carbon nanotubes on substrate by polarized microscopy