Design of frequency independent optic-axis Pancharatnam based achromatic half-wave plate.

Pancharatnam based achromatic half-wave plate (AHWP) achieves high polarization efficiency over broadband. It generally comes with a feature of which the optic-axis of AHWP has dependence of the electromagnetic frequency of the incident radiation. When the AHWP is used to measure the incident polarized radiation with a finite detection bandwidth, this frequency dependence causes an uncertainty in the determination of the polarization angle due to the limited knowledge of a detection band shape and a source spectral shape. To mitigate this problem, we propose new designs of the AHWP that eliminate the frequency dependent optic-axis over the bandwidth and maintain high modulation efficiency. We carried out the optimization by tuning the relative angles among the individual half-wave plates of the five- and nine-layer AHWPs. The optimized set of the relative angles achieves the frequency independent optic-axis over the fractional bandwidth of 1.3 and 1.5 for the five- and nine-layer AHWPs, respectively. We also study the susceptibility of the alignment accuracy to the polarization efficiency and the frequency independent optic-axis, which provides a design guidance for each application.