Optimal configurations of full-Stokes polarimeter with immunity to both Poisson and Gaussian noise

Tingkui Mu, Zeyu Chen, Chunmin Zhang, Rongguang Liang

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

For a full-Stokes polarimeter (FSP), generally there are two types of noise, signal-dependent Poisson shot noise and signal-independent additive Gaussian noise, which will degrade the signal-to-noise ratio on the measured Stokes parameters. The relation between the immunity to Gaussian noise and the condition of the measurement matrix has been widely studied in the recent literature. In this paper, we present a new merit function and use it to achieve optimal configurations with immunity to both types of noise. The numerical results show that, for the FSP consisting of variable retarders followed by a fixed polarizer, the four measurement channels immune to these two types of noise can be optimally composed by a 102.2° retardance with a pair of azimuths ±71.9° and a 142.1° retardance with a pair of azimuths ±34.95°, or by two quarter-wave plates with four pairs of azimuths (±70.15°, ±87.84°) and (±42.82°, ±19.14°). The tolerances of the retardances or azimuths in the optimized configurations are evaluated for practical manufacturing, assembling and alignment.

Original languageEnglish (US)
Article number055702
JournalJournal of Optics
Volume18
Issue number5
DOIs
StatePublished - May 1 2016

Fingerprint

Polarimeters
immunity
polarimeters
random noise
azimuth
Shot noise
configurations
Signal to noise ratio
retarders
shot noise
assembling
polarizers
signal to noise ratios
manufacturing
alignment
matrices

Keywords

  • polarimetric imaging
  • polarimetry
  • polarization-selective devices

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials

Cite this

Optimal configurations of full-Stokes polarimeter with immunity to both Poisson and Gaussian noise. / Mu, Tingkui; Chen, Zeyu; Zhang, Chunmin; Liang, Rongguang.

In: Journal of Optics, Vol. 18, No. 5, 055702, 01.05.2016.

Research output: Contribution to journalArticle

@article{abe309d7ffae4099aa112af1632d8d0e,
title = "Optimal configurations of full-Stokes polarimeter with immunity to both Poisson and Gaussian noise",
abstract = "For a full-Stokes polarimeter (FSP), generally there are two types of noise, signal-dependent Poisson shot noise and signal-independent additive Gaussian noise, which will degrade the signal-to-noise ratio on the measured Stokes parameters. The relation between the immunity to Gaussian noise and the condition of the measurement matrix has been widely studied in the recent literature. In this paper, we present a new merit function and use it to achieve optimal configurations with immunity to both types of noise. The numerical results show that, for the FSP consisting of variable retarders followed by a fixed polarizer, the four measurement channels immune to these two types of noise can be optimally composed by a 102.2° retardance with a pair of azimuths ±71.9° and a 142.1° retardance with a pair of azimuths ±34.95°, or by two quarter-wave plates with four pairs of azimuths (±70.15°, ±87.84°) and (±42.82°, ±19.14°). The tolerances of the retardances or azimuths in the optimized configurations are evaluated for practical manufacturing, assembling and alignment.",
keywords = "polarimetric imaging, polarimetry, polarization-selective devices",
author = "Tingkui Mu and Zeyu Chen and Chunmin Zhang and Rongguang Liang",
year = "2016",
month = "5",
day = "1",
doi = "10.1088/2040-8978/18/5/055702",
language = "English (US)",
volume = "18",
journal = "Journal of Optics",
issn = "2040-8978",
publisher = "IOP Publishing Ltd.",
number = "5",

}

TY - JOUR

T1 - Optimal configurations of full-Stokes polarimeter with immunity to both Poisson and Gaussian noise

AU - Mu, Tingkui

AU - Chen, Zeyu

AU - Zhang, Chunmin

AU - Liang, Rongguang

PY - 2016/5/1

Y1 - 2016/5/1

N2 - For a full-Stokes polarimeter (FSP), generally there are two types of noise, signal-dependent Poisson shot noise and signal-independent additive Gaussian noise, which will degrade the signal-to-noise ratio on the measured Stokes parameters. The relation between the immunity to Gaussian noise and the condition of the measurement matrix has been widely studied in the recent literature. In this paper, we present a new merit function and use it to achieve optimal configurations with immunity to both types of noise. The numerical results show that, for the FSP consisting of variable retarders followed by a fixed polarizer, the four measurement channels immune to these two types of noise can be optimally composed by a 102.2° retardance with a pair of azimuths ±71.9° and a 142.1° retardance with a pair of azimuths ±34.95°, or by two quarter-wave plates with four pairs of azimuths (±70.15°, ±87.84°) and (±42.82°, ±19.14°). The tolerances of the retardances or azimuths in the optimized configurations are evaluated for practical manufacturing, assembling and alignment.

AB - For a full-Stokes polarimeter (FSP), generally there are two types of noise, signal-dependent Poisson shot noise and signal-independent additive Gaussian noise, which will degrade the signal-to-noise ratio on the measured Stokes parameters. The relation between the immunity to Gaussian noise and the condition of the measurement matrix has been widely studied in the recent literature. In this paper, we present a new merit function and use it to achieve optimal configurations with immunity to both types of noise. The numerical results show that, for the FSP consisting of variable retarders followed by a fixed polarizer, the four measurement channels immune to these two types of noise can be optimally composed by a 102.2° retardance with a pair of azimuths ±71.9° and a 142.1° retardance with a pair of azimuths ±34.95°, or by two quarter-wave plates with four pairs of azimuths (±70.15°, ±87.84°) and (±42.82°, ±19.14°). The tolerances of the retardances or azimuths in the optimized configurations are evaluated for practical manufacturing, assembling and alignment.

KW - polarimetric imaging

KW - polarimetry

KW - polarization-selective devices

UR - http://www.scopus.com/inward/record.url?scp=84969640921&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969640921&partnerID=8YFLogxK

U2 - 10.1088/2040-8978/18/5/055702

DO - 10.1088/2040-8978/18/5/055702

M3 - Article

VL - 18

JO - Journal of Optics

JF - Journal of Optics

SN - 2040-8978

IS - 5

M1 - 055702

ER -