4.6 Article

Analytic inversion of the Mueller-Jones polarization matrices for homogeneous media

Journal

OPTICS LETTERS
Volume 35, Issue 4, Pages 559-561

Publisher

OPTICAL SOC AMER
DOI: 10.1364/OL.35.000559

Keywords

-

Categories

Funding

  1. FPU [AP2006-00193]
  2. [AYA2006-1648-C02-01]

Ask authors/readers for more resources

In this Letter we present the equations to calculate the six independent polarization effects of an arbitrary normalized Mueller-Jones matrix corresponding to homogenous media. A comparison between this method and other inversion procedures is discussed, and the application of the analytic inversion to experimental Mueller matrices is illustrated. (C) 2010 Optical Society of America

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Optics

Dielectric function of vanadium oxide thin films by thermal annealing

Adolf Canillas, Frank Guell, Oriol Arteaga, Paulina R. Martinez-Alanis, Michel Vergnat, Herve Rinnert, Blas Garrido

Summary: The dielectric function of VOx and V2O5 thin films was determined using a spectroscopic Mueller matrix ellipsometer, showing their optical properties at different wavelengths.

APPLIED OPTICS (2021)

Article Chemistry, Multidisciplinary

Nanoscale Bouligand Multilayers: Giant Circular Dichroism of Helical Assemblies of Plasmonic 1D Nano-Objects

Hebing Hu, Sribharani Sekar, Wenbing Wu, Yann Battie, Vincent Lemaire, Oriol Arteaga, Lisa Poulikakos, David J. Norris, Harald Giessen, Gero Decher, Matthias Pauly

Summary: The study demonstrated that nonchiral 1D nano-objects can be assembled into scalable chiral Bouligand nanostructures with controlled mesoscale anisotropy, achieving very high circular dichroism and giant dissymmetry factors. Through Layer-by-Layer assembly and simple macroscopic tools, the chiroptical properties of the chiral multilayer stack were successfully modeled.

ACS NANO (2021)

Article Optics

Mueller matrix imaging with a polarization camera: application to microscopy

Dale Gottlieb, Oriol Arteaga

Summary: This work presents the design and implementation of a Mueller matrix imaging polarimeter that uses a polarization camera as a detector. The setup provides polarimetric analysis with micrometric resolution and can perform live birefringence imaging. By using a single rotating compensator, the top three rows of the Mueller matrix can be determined after only a few measurements.

OPTICS EXPRESS (2021)

Article Optics

Optimal elliptical retarder in rotating compensator imaging polarimetry

Dale Gottlieb, Oriol Arteaga

Summary: In this letter, a new design for elliptical retarders based on two quarter-wave retarders with an angle offset is presented, which is suitable for polarimetric measurements based on rotating compensator systems. This design offers the minimum condition number achieved by traditionally optimal polarimeter setups, and can further improve the accuracy of polarimetric imaging measurements in the presence of error sources, with the advantage that it only requires common quarter-wave retarders.

OPTICS LETTERS (2021)

Article Optics

Model for the depolarizing retarder in Mueller matrix polarimetry

Razvigor Ossikovski, Oriol Arteaga, Enrique Garcia-Caurel, Kurt Hingerl

Summary: An analytical model describing the polarimetric response of a depolarizing retarder with spatially varying retardance is presented, considering deterministic or random variations in the retarder parameters. The model provides mean values and uncertainties of the parameters, and its application is illustrated with experimental examples covering both deterministic and random cases.

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION (2022)

Article Optics

Spectrally modulated polarimetry with wavelength domain analysis

Hana Bendada, Belkacem Bakhouche, Luis Oscar Gonzalez-Siu, Neil C. Bruce, Oriol Arteaga

Summary: This paper proposes a spectrally modulated polarimeter that uses high-order crystal retarders to modulate the polarization of light. The technique measures the intensity-wavelength relationship to determine the polarization parameters and is suitable for dispersive spectrometers. It can be applied to measure very small optical rotations.

APPLIED OPTICS (2022)

Article Optics

Compact formulation of the transparent-absorbing isotropic interface electromagnetic problem

Salvador Bosch, Josep Ferre-Borrull, Jordi Sancho-Parramon, Oriol Arteaga

Summary: A complete formulation of the electromagnetic problem for light incidence from a transparent to an absorbing medium (isotropic materials) is presented. All relevant formulas that relate the polarization and Poynting vectors of the reflected and transmitted beams to the incident ones are explicitly obtained based on the standard separation in s and p polarization cases. The procedure is overall compact, being both concise and comprehensive.

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION (2022)

Correction Optics

Complete Mueller matrix from a partial polarimetry experiment: the nine-element case (vol 36, pg 403, 2019)

Razvigor Ossikovski, Oriol Arteaga

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION (2023)

Article Materials Science, Multidisciplinary

Calibration of achromatic Fresnel rhombs with an elliptical retarder model in Mueller matrix ellipsometers

Subiao Bian, Xipeng Xu, Changcai Cui, Oriol Arteaga

Summary: Fresnel rhombs are the most achromatic form of retarders, but the small stress in the rhomb can affect the ellipsometry measurements. This work presents a calibration method that considers the non-ideal response of the Fresnel rhomb, resulting in significantly reduced systematic errors.

THIN SOLID FILMS (2022)

Article Chemistry, Medicinal

In situ study of chiral symmetry breaking in sodium chlorate solutions by Mueller matrix polarimetry

Oriol Arteaga, Andres Arango-Restrepo, Daniel Barragan, Razvigor Ossikovski, Jose Miguel Rubi

Summary: This study presents a new approach using Mueller matrix polarimetry to investigate symmetry-breaking processes during crystallization. By applying this method to cooling NaClO3 solutions, the researchers demonstrate its capability to capture the entire process, including the initial and final stages as well as the intermediate steps and dynamics. This technique provides more comprehensive information and insights into the symmetry-breaking mechanisms involved in crystal formation. Overall, this study highlights the potential of Mueller matrix polarimetry for in situ statistical measurements of optical rotation and monitoring the evolution of enantiomeric excesses.

CHIRALITY (2023)

Article Optics

Spectroscopic ellipsometry of very rough surfaces

Subiao Bian, Oriol Arteaga

Summary: This work expands the use of spectroscopic ellipsometry to surfaces with roughness that is similar to or larger than the wavelength of the incident light. By using a custom-built spectroscopic ellipsometer and varying the angle of incidence, we were able to differentiate between the diffusely scattered and specularly reflected components. Our findings demonstrate that measuring the diffuse component at specular angles is highly beneficial for ellipsometry analysis, as its response is equivalent to that of a smooth material. This allows for accurate determination of the optical constants in materials with extremely rough surfaces. Our results have the potential to broaden the scope and utility of the spectroscopic ellipsometry technique.

OPTICS EXPRESS (2023)

Article Optics

Use of complete temporal basis in polarimeters based on photoelastic modulators

Jordi Gomis-Bresco, Oriol Arteaga

Summary: This Letter demonstrates the benefits of using a complete temporal basis in polarimeters based on photoelastic modulators rather than the commonly used truncated temporal basis. The truncated basis leads to a discrete selection of Fourier harmonics for data processing. The results are numerically and experimentally illustrated for a complete Mueller-matrix-based polarimeter on four photoelastic modulators.

OPTICS LETTERS (2023)

Article Biochemical Research Methods

Wide-field Mueller matrix polarimetry for spectral characterization of basic biological tissues: Muscle, fat, connective tissue, and skin

Iago Pardo, Subiao Bian, Jordi Gomis-Bresco, Esther Pascual, Adolf Canillas, Salvador Bosch, Oriol Arteaga

Summary: This study investigates the polarimetric properties of skin, skeletal muscle, connective tissue, and fat using Mueller matrix imaging. It compares their characteristics and how they change with wavelength, including during meat aging. In-vivo and ex-vivo experiments reveal wavelength-driven tissue property variations, notably significant in depolarization effects. Differences in polarimetric traits exist, with skeletal muscle's reduced retardation and fat's increased retardation over 24 h being significant findings.

JOURNAL OF BIOPHOTONICS (2023)

Article Chemistry, Physical

Chiral symmetry breaking induced by energy dissipation

A. Arango-Restrepo, O. Arteaga, D. Barragan, J. M. Rubi

Summary: Spontaneous chiral symmetry breaking is a phenomena observed in various systems, but its origin is still debated. The energy difference between intermediate states of optical enantiomers has been suggested to be the cause of symmetry breaking, but the reason behind this is unclear. By measuring the optical rotation angle of NaClO3 enantiomeric crystals during their formation, it has been found that the energy needed to induce enantiomeric excess is equal to the energy dissipated from the solid salt, supporting the proposed model of entropy production. This understanding of chiral symmetry breaking can help explain the formation of self-organised structures and have implications for advanced materials and synthetic biological tissues.

PHYSICAL CHEMISTRY CHEMICAL PHYSICS (2023)

Article Chemistry, Multidisciplinary

Characterization of Chiral Nanostructured Surfaces Made via Colloidal Lithography

Sabine Portal, Carles Corbella, Oriol Arteaga, Alexander Martin, Trinanjana Mandal, Bart Kahr

Summary: Optically anisotropic materials form through colloidal lithography were studied using SEM, confocal microscopy, and polarimetry. A hexagonal array mask made of sub-micron silica particles was created via Langmuir-Blodgett self-assembly, and the pattern was transferred onto silicon and glass substrates using ion beam etching. Gold films were then deposited onto the etched pillars to enhance optical properties. Polarimetric measurements showed that the etching directions influenced the linear birefringence and linear dichroism, with the chiroptical responses increasing with the angle of incidence.

NANOMATERIALS (2023)

No Data Available