Article
Optics
Y. Chang, W. Gao
Summary: This new method allows for directly obtaining polarization properties from measured macroscopic Mueller matrices without the need for decomposition. By analyzing the canonical decomposition form of macroscopic Mueller matrices, the method accurately derives the parameters representing polarization and depolarization properties of a medium. The theoretical validation demonstrates the high accuracy of this method in extracting polarization properties from measured Mueller matrices.
OPTICS AND LASERS IN ENGINEERING
(2021)
Article
Chemistry, Multidisciplinary
Hans Arwin, Stefan Schoeche, James Hilfiker, Mattias Hartveit, Kenneth Jarrendahl, Olga Rubi Juarez-Rivera, Arturo Mendoza-Galvan, Roger Magnusson
Summary: The analysis of Mueller matrix transmission facilitates the study of optical activity in samples with linear anisotropy and depolarization, important for the development of applications in chiroptics. Optical chirality, described by electromagnetic and magnetoelectric material tensors, contributes to the Mueller matrix. Spectroscopic ellipsometry is used to measure chiral phenomena, with three methods discussed for determining chirality parameters.
APPLIED SCIENCES-BASEL
(2021)
Article
Physics, Applied
Mariacarla Gonzalez, Razvigor Ossikovski, Tatiana Novikova, Jessica C. Ramella-Roman
Summary: A Mueller matrix can characterize the polarimetric properties of a medium, and parameters like depolarization, retardance and diattenuation can be obtained through decomposition methods. The introduction of a simplified 3 x 4 Mueller matrix and decomposition algorithm provides an effective way to measure and characterize samples, calculating properties such as depolarization, retardance and orientation.
JOURNAL OF PHYSICS D-APPLIED PHYSICS
(2021)
Article
Optics
Dongjin Wu, Wanrong Gao, Ying Chang
Summary: This work presents a simplified cylinder-birefringence optical model of the human skin dermis and measures the polarization parameters of human fingernail skin. The accuracy and stability of the Mueller matrix polarization decomposition (MMPD) and the direct Mueller matrix (DMM) methods are compared under different incident and scattering angles. A significant contribution of this study is the use of a polarization-sensitive optical coherence tomography device to obtain the value of birefringence of the skin dermis from living human index finger nail images. The results provide a basis for selecting incident and scattering angles when measuring biological samples with fibrous structures in the future.
OPTICS AND LASERS IN ENGINEERING
(2023)
Review
Optics
Colin J. R. Sheppard, Artemi Bendandi, Aymeric Le Gratiet, Alberto Diaspro
Summary: Many books on polarization provide tables of Mueller matrices. The coherency matrix is useful for interpreting Mueller matrices. We present a table of Mueller matrices M, coherency matrices C, and coherency matrix factors F for different polarization components and systems, along with simplified forms for certain cases.
Article
Multidisciplinary Sciences
Wanrong Gao
Summary: This work introduces the concept of anisotropic dielectric susceptibility matrix of anisotropic medium for both nondepolarizing and depolarizing medium, providing a new way of analyzing light scattering properties of anisotropic media illuminated by polarized light. The explicit expressions for the elements of the scattering matrix, Jones matrix, and Mueller matrix are given, which may prove stimulating for researchers working on new methods for analyzing light scattering properties.
SCIENTIFIC REPORTS
(2021)
Article
Optics
Ignacio San Jose, Jose J. Gil
Summary: The arbitrary decomposition of a Mueller matrix into nondepolarizing constituents allows for a parallel decomposition of polarimetric interactions. However, the interpretation of the components is limited due to certain restrictions. This study introduces a new approach that involves adding a perfect depolarizer before the decomposition, resulting in three components that inherit the polarizance vector, diattenuation vector, and complementary polarimetric information.
Article
Mathematics
Stelios D. D. Georgiou, Stella Stylianou, Hleil Alrweili
Summary: This paper presents two original construction methods for symmetric weighing matrices, resulting in two infinite families of such matrices. These matrices are constructed by combining a circulant matrix and a negacyclic matrix with identical first row. The results presented here are new and have never been reported.
Article
Astronomy & Astrophysics
Paul Fallon, Derck P. Smits, Tapasi Ghosh, Christopher J. Salter, Pedro Salas
Summary: This paper presents C-band Mueller matrices for the Green Bank Telescope, allowing determination of on-sky Stokes parameters for point sources at the beam center. Standard calibrators, 3C 138 and 3C 286, were observed using the Spider program, and the Mueller matrices were found to vary with frequency and calibration gain. However, by correcting for the relative calibration gain, a frequency-independent Mueller matrix can be obtained for reliable polarization measurements.
ASTRONOMICAL JOURNAL
(2023)
Article
Engineering, Biomedical
Muaz Iqbal, Shamim Khan, Banat Gul, Manzoor Ahmad, Iftikhar Ahmad
Summary: Mueller matrix polarimetry quantifies changes in polarization of light beam through a sample, but multiple polarization effects occurring simultaneously in tissues can hinder unique interpretation. Various decomposition schemes, such as Mueller matrix transformation and Mueller matrix differential decomposition, are used to untangle these effects. Comparing these two methods for tissue and phantom samples revealed consistent total depolarization values but significant differences in total retardance. Linear fitting of the scatter plot showed good correlation between corresponding polarization parameters of the two methods.
BIOMEDICAL SIGNAL PROCESSING AND CONTROL
(2021)
Article
Automation & Control Systems
Rahul Moghe, Maruthi R. Akella
Summary: This paper introduces a projection scheme to handle eigenvalue bounds for adaptive control with uncertain symmetric matrix parameters. Conventional parameter projection techniques are generally unable to handle explicit eigenvalue bounds. The continuous projection scheme presented here maintains the closed-loop stability properties for adaptive controllers while simultaneously satisfying a priori available eigenvalue bounds of the uncertain symmetric matrix valued parameters. The new projection shows improved performance in numerical simulations of rigid body attitude tracking control and trajectory tracking of robotic manipulators with unknown inertia parameters.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Biochemical Research Methods
Deyan Ivanov, Viktor Dremin, Ekaterina Borisova, Alexander Bykov, Tatiana Novikova, Igor Meglinski, Razvigor Ossikovski
Summary: Tissue polarimetry shows promise in improving cancer diagnostics by providing relevant optical markers for pathological conditions. The enhanced diagnostic method for ex vivo colon specimens assessment utilizing Stokes and Mueller matrix polarimetry was validated to be accurate in distinguishing healthy and cancerous tissues. This approach offers valuable complementary information to aid in colon tissue diagnostics.
BIOMEDICAL OPTICS EXPRESS
(2021)
Article
Mathematics, Applied
Hussam Al Daas, Pierre Jolivet
Summary: Domain decomposition (DD) methods are widely used as preconditioner techniques. In this paper, a fully algebraic multilevel DD method is proposed, which allows for the local and efficient construction of the coarse space without any information other than the coefficient matrix. The numerical experiments show the effectiveness of the preconditioner on a range of problems arising from different applications.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Mathematics, Applied
Wanlin Jiang, Kezheng Zuo
Summary: This paper discusses the characteristics of the BT-inverse of a square matrix introduced by Baksalary and Trenkler, as well as the necessary and sufficient conditions for a matrix to be the BT-inverse. The canonical form of BT inverse is presented, and the relationships between BT-inverse and other generalized inverses are investigated through Core EP decomposition. Additionally, new representations of BT-inverse are given by the maximal classes of matrices.
Article
Mathematics, Applied
Hussam Al Daas, Pierre Jolivet
Summary: In this paper, a fully algebraic multilevel domain decomposition (DD) method is presented, where the coarse space can be constructed locally and efficiently without any additional information. Numerical experiments illustrate the effectiveness of the preconditioner on various applications.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Optics
H. Arwin, R. Magnusson, E. Garcia-Caurel, C. Fallet, K. Jarrendahl, M. Foldyna, A. De Martino, R. Ossikovski
Article
Biochemical Research Methods
Angelo Pierangelo, Sandeep Manhas, Abdelali Benali, Clement Fallet, Maria-Rosaria Antonelli, Tatiana Novikova, Brice Gayet, Pierre Validire, Antonello De Martino
JOURNAL OF BIOMEDICAL OPTICS
(2012)
Article
Biochemical Research Methods
Angelo Pierangelo, Sandeep Manhas, Abdelali Benali, Clement Fallet, Jean-Laurent Totobenazara, Maria-Rosaria Antonelli, Tatiana Novikova, Brice Gayet, Antonello De Martino, Pierre Validire
JOURNAL OF BIOMEDICAL OPTICS
(2013)
Article
Engineering, Electrical & Electronic
Clement Fallet, Tatiana Novikova, Martin Foldyna, Sandeep Manhas, Bicher Haj Ibrahim, Antonello De Martino
JOURNAL OF MICRO-NANOLITHOGRAPHY MEMS AND MOEMS
(2011)
Article
Optics
Angelo Pierangelo, Andre Nazac, Abdelali Benali, Pierre Validire, Henri Cohen, Tatiana Novikova, Bicher Haj Ibrahim, Sandeep Manhas, Clement Fallet, Maria-Rosaria Antonelli, Antonello-De Martino
Article
Optics
Razvigor Ossikovski, Clement Fallet, Angelo Pierangelo, Antonello De Martino
Article
Optics
Razvigor Ossikovski, Martin Foldyna, Clement Fallet, Antonello De Martino
Article
Optics
Sybille Rosset, Clement Fallet, Gabriel Y. Sirat
Article
Materials Science, Multidisciplinary
F. Ferrieu, T. Novikova, C. Fallet, S. Ben Hatit, C. Vannuffel, A. De Martino
Article
Cell Biology
Julien Caron, Clement Fallet, Jean-Yves Tinevez, Lionel Moisan, L. Philippe (Ori) Braitbart, Gabriel Y. Sirat, Spencer L. Shorte
CELL ADHESION & MIGRATION
(2014)
Proceedings Paper
Instruments & Instrumentation
Tatiana Novikova, Clement Fallet, Martin Foldyna, Sandeep Manhas, Bicher Haj Ibrahim, Antonello De Martino, Cyril Vannuffel, Christophe Constancias
METROLOGY, INSPECTION, AND PROCESS CONTROL FOR MICROLITHOGRAPHY XXV, PT 1 AND PT 2
(2011)
Proceedings Paper
Optics
Clement Fallet, Tatiana Novikova, Aline Jolibois, Bicher Haj Ibrahim, Antonello De Martino, Cyril Vannuffel
POLARIZATION SCIENCE AND REMOTE SENSING V
(2011)