Label-free Photothermal Quantitative Phase Imaging with Spectral Modulation Interferometry

The photothermal effect is a way in which chemical contrast can be measured as an optical pathlength or phase change. When a chemical species in a sample absorbs optical energy at a particular wavelength, this absorption raises the temperature at these points in the sample via the photothermal effect. This temperature change changes the local refractive index in the sample. Quantitative phase imaging is an interferometric technique for measuring the optical pathlength of sample features. Quantitative phase imaging is capable of detecting the photothermally-induced refractive index change, and is thus a powerful method for performing photothermal imaging. In this work, a thermal wave model is derived from Fourier's law of conduction in conjunction with a medium's heat capacity to derive the diffusion of temperature in a medium. This diffusion theory is transformed to a thermal wave model by applying a temporally modulated thermal source. Analytical expressions for the temperature field surrounding such a modulated thermal source are derived in multiple dimensions. The thermal wave equation is also simulated using a custom finite difference numerical method, and the simulated results are compared to the theoretical expressions with good agreement. The experimental apparatus for inducing such a thermal point source in a medium of water is described using the quantitative phase imaging system of spectral modulation interferometry. The spectral modulation interferometry system is aligned with a visible light pumping laser in two configurations for point source measurement and cell imaging. Label-free chemical imaging is then performed by pumping a field of cellular samples with wide-field illumination, and the resulting photothermal signal is detected by temporal analysis of the optical pathlength changes, generating the two-dimensional photothermal image. The measured photothermal cell image is qualitatively compared to predicted photothermal image based on the application of the thermal wave model in the spatial frequency domain. The chemical specificity of this technique is also verified by simultaneously pumping absorbing and non-absorbing biological cells in the same field-of-view.