  Spectroscopic polarimetry (SP) is a powerful tool for evaluation of thin
film, optical materials, and biological samples because it can provide both
polarimetric and spectroscopic characteristics of objects. However, its
performance is often hampered by the mechanical instability and the limited
data acquisition speed arising from the mechanical polarization modulation.
Dual-comb spectroscopic polarimetry (DCSP) based on a combination of SP with
dual-comb spectroscopy can acquire optical spectra of amplitude ratio and phase
difference in p- and s-polarization components of the output light from
simultaneous measurement of optical spectra of optical amplitude and phase in
p- and s-polarization components without the need for mechanical polarization
modulation. In this article, we combine the DCSP with polarization control
pulse sequences (PCPS) with different polarizations and time delays for a more
detailed analysis of the sample's polarization response based on Jones matrix.
We obtain Jones matrix of a sample as a function of wavelength by measuring
those optical spectra while multiplexing the incident light into multiple
polarizations instead of a single polarization. Such Jones matrix DCSP
(JM-DCSP) is applied for analysis of optical elements with known polarization
property and its experimental result is in good agreement with theoretical
values, indicating the validity of the proposed method. JM-DCSP will further
expand the application scope of SP.
