An investigation of the Eigenvalue Calibration Method (ECM) using GASP for non-imaging and imaging detectors

TL;DR

This paper evaluates the Eigenvalue Calibration Method (ECM) applied to GASP polarimeter systems, demonstrating improved calibration accuracy for both non-imaging and imaging detectors in astronomical polarimetry.

Contribution

It introduces the application of ECM to GASP for both 1D and 2D detectors, enhancing calibration accuracy and systematic error compensation in polarimetric measurements.

Findings

Errors of 0.2% in degree of linear polarisation

Errors of 0.1° in polarisation angle

Demonstrated stability and accuracy at Palomar telescope

Abstract

Polarised light from astronomical targets can yield a wealth of information about their source radiation mechanisms, and about the geometry of the scattered light regions. Optical observations, of both the linear and circular polarisation components, have been impeded due to non-optimised instrumentation. The need for suitable observing conditions and the availability of luminous targets are also limiting factors. GASP uses division of amplitude polarimeter (DOAP) (Compain and Drevillon) to measure the four components of the Stokes vector simultaneously, which eliminates the constraints placed upon the need for moving parts during observation, and offers a real-time complete measurement of polarisation. Results from the GASP calibration are presented in this work for both a 1D detector system, and a pixel-by-pixel analysis on a 2D detector system. Following Compain et al. we use the Eigenvalue Calibration Method (ECM) to measure the polarimetric limitations of the instrument for each of the two systems. Consequently, the ECM is able to compensate for systematic errors introduced by the calibration optics, and it also accounts for all optical elements of the polarimeter in the output. Initial laboratory results of the ECM are presented, using APD detectors, where errors of 0.2% and 0.1{\deg} were measured for the degree of linear polarisation and polarisation angle respectively. Channel-to-channel image registration is an important aspect of 2-D polarimetry. We present our calibration results of the measured Mueller matrix of each sample, used by the ECM. A set of Zenith flat-field images were recorded during an observing campaign at the Palomar 200 inch telescope in November 2012. From these we show the polarimetric errors from the spatial polarimetry indicating both the stability and absolute accuracy of GASP.