Rigorous theory for estimating the LC-PolScope optical impulse function

Develop a rigorous optical theory that enables straightforward estimation of the lateral optical impulse function for semi-coherent polarized light microscopy (LC-PolScope), to support principled deconvolution and quantitative interpretation of measured spatial correlation functions.

Background

To correct LC-PolScope measurements for diffraction-induced artifacts, the analysis requires the lateral optical impulse function (OIF). Because a rigorous theory for semi-coherent polarization microscopy is lacking, the authors estimated the OIF experimentally using sub-diffraction microtubule bundles and then fitted a Gaussian model.

A theoretical framework for the LC-PolScope OIF would remove the need for ad hoc experimental calibration and improve the reliability and generality of deconvolution and correlation analysis in polarized light microscopy of spindles.

References

Unfortunately, no rigorous theory exists that allows straightforward estimation of the OIF for 'semi-coherent' imaging techniques like LC-PolScope.

Active Liquid Crystal Theory Explains the Collective Organization of Microtubules in Human Mitotic Spindles (2507.22273 - Kelleher et al., 29 Jul 2025) in Supporting Information, LC-PolScope Data, Estimating the Lateral Optical Impulse Function of LC-PolScope