### Abstract

We have developed a tool to simulate reconstruction behavior of a snapshot Mueller matrix channeled spectropolarimeter in presence of noise. A shortcoming of channeled spectropolarimeters is that with a large number of channels, each channel has to be narrow, which limits the reconstruction accuracy and provides a bandlimit constraint on the object. The concept of making partial Mueller matrix measurements can be extended to a channeled system by considering polarimeter designs that make irrelevant Mueller matrix elements unreconstructable, while decreasing the number of channels and subsequently increasing the bandwidth available to each channel. This tool optimizes the distribution of the available bandwidth towards the polarization elements that we care about most. A generic linear systems model of a spectropolarimeter with four variable retarders allows us to construct a matrix that maps Mueller matrix elements into corresponding channels. A pseudo-inverse of that matrix enables the reconstruction of Mueller matrix elements from channels. By specifying a mask vector, we can control the subjective importance of each of the reconstructed elements and weigh their error contribution accordingly. Finally, searching the design space allows us to find a design that maximizes the Signal-to-Noise-Ratio (SNR) for a specific partial Mueller matrix measurement task.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 8364 |

DOIs | |

State | Published - 2012 |

Event | Polarization: Measurement, Analysis, and Remote Sensing X - Baltimore, MD, United States Duration: Apr 23 2012 → Apr 24 2012 |

### Other

Other | Polarization: Measurement, Analysis, and Remote Sensing X |
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Country | United States |

City | Baltimore, MD |

Period | 4/23/12 → 4/24/12 |

### Fingerprint

### Keywords

- Channeled Spectropolarimeter
- Optimization
- Partial Mueller Matrix Polarimeter
- Polarimetry

### ASJC Scopus subject areas

- Applied Mathematics
- Computer Science Applications
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 8364). [836402] https://doi.org/10.1117/12.921911

**Task-specific snapshot Mueller matrix channeled spectropolarimeter optimization.** / Alenin, Andrey S.; Tyo, J Scott.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 8364, 836402, Polarization: Measurement, Analysis, and Remote Sensing X, Baltimore, MD, United States, 4/23/12. https://doi.org/10.1117/12.921911

}

TY - GEN

T1 - Task-specific snapshot Mueller matrix channeled spectropolarimeter optimization

AU - Alenin, Andrey S.

AU - Tyo, J Scott

PY - 2012

Y1 - 2012

N2 - We have developed a tool to simulate reconstruction behavior of a snapshot Mueller matrix channeled spectropolarimeter in presence of noise. A shortcoming of channeled spectropolarimeters is that with a large number of channels, each channel has to be narrow, which limits the reconstruction accuracy and provides a bandlimit constraint on the object. The concept of making partial Mueller matrix measurements can be extended to a channeled system by considering polarimeter designs that make irrelevant Mueller matrix elements unreconstructable, while decreasing the number of channels and subsequently increasing the bandwidth available to each channel. This tool optimizes the distribution of the available bandwidth towards the polarization elements that we care about most. A generic linear systems model of a spectropolarimeter with four variable retarders allows us to construct a matrix that maps Mueller matrix elements into corresponding channels. A pseudo-inverse of that matrix enables the reconstruction of Mueller matrix elements from channels. By specifying a mask vector, we can control the subjective importance of each of the reconstructed elements and weigh their error contribution accordingly. Finally, searching the design space allows us to find a design that maximizes the Signal-to-Noise-Ratio (SNR) for a specific partial Mueller matrix measurement task.

AB - We have developed a tool to simulate reconstruction behavior of a snapshot Mueller matrix channeled spectropolarimeter in presence of noise. A shortcoming of channeled spectropolarimeters is that with a large number of channels, each channel has to be narrow, which limits the reconstruction accuracy and provides a bandlimit constraint on the object. The concept of making partial Mueller matrix measurements can be extended to a channeled system by considering polarimeter designs that make irrelevant Mueller matrix elements unreconstructable, while decreasing the number of channels and subsequently increasing the bandwidth available to each channel. This tool optimizes the distribution of the available bandwidth towards the polarization elements that we care about most. A generic linear systems model of a spectropolarimeter with four variable retarders allows us to construct a matrix that maps Mueller matrix elements into corresponding channels. A pseudo-inverse of that matrix enables the reconstruction of Mueller matrix elements from channels. By specifying a mask vector, we can control the subjective importance of each of the reconstructed elements and weigh their error contribution accordingly. Finally, searching the design space allows us to find a design that maximizes the Signal-to-Noise-Ratio (SNR) for a specific partial Mueller matrix measurement task.

KW - Channeled Spectropolarimeter

KW - Optimization

KW - Partial Mueller Matrix Polarimeter

KW - Polarimetry

UR - http://www.scopus.com/inward/record.url?scp=84874684499&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874684499&partnerID=8YFLogxK

U2 - 10.1117/12.921911

DO - 10.1117/12.921911

M3 - Conference contribution

AN - SCOPUS:84874684499

SN - 9780819490421

VL - 8364

BT - Proceedings of SPIE - The International Society for Optical Engineering

ER -