Determination of the components of the gyration tensor of quartz by oblique incidence transmission two-modulator generalized ellipsometry

Arteaga, Oriol; Canillas, A.; Jellison, G. E.

doi:10.1364/ao.48.005307

Cited by 46 publications

(36 citation statements)

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“…Parameters of an appropriately selected physical model dielectric function (MDF) yield access to CP parameters such as band-to-band transition energies and polarization selection rules, which allow for direct comparison with results both from experiment, e.g., optical absorption and reflectance measurements, as well * Electronic mail: amock@huskers.unl.edu as from theory, e.g., density functional theory (DFT) band structure calculations [11]. A suitable and precise technique to determine the complex dielectric function tensor from arbitrarily anisotropic materials is generalized spectroscopic ellipsometry (GSE) [12][13][14][15][16][17][18][19][20][21][22][23][24]. MDF approaches were used successfully to quantify anisotropy and band-to-band transitions for many different types of materials [12,[15][16][17][18][19]21,25].…”

Section: Introductionmentioning

confidence: 99%

Band-to-band transitions, selection rules, effective mass, and excitonic contributions in monoclinic β−Ga2O3

et al. 2017

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We employ an eigenpolarization model including the description of direction dependent excitonic effects for rendering critical point structures within the dielectric function tensor of monoclinic β-Ga 2 O 3 yielding a comprehensive analysis of generalized ellipsometry data obtained from 0.75-9 eV. The eigenpolarization model permits complete description of the dielectric response. We obtain, for single-electron and excitonic band-to-band transitions, anisotropic critical point model parameters including their polarization vectors within the monoclinic lattice. We compare our experimental analysis with results from density functional theory calculations performed using the Gaussian-attenuation-Perdew-Burke-Ernzerhof hybrid density functional. We present and discuss the order of the fundamental direct band-to-band transitions and their polarization selection rules, the electron and hole effective mass parameters for the three lowest band-to-band transitions, and their excitonic contributions. We find that the effective masses for holes are highly anisotropic and correlate with the selection rules for the fundamental band-to-band transitions. The observed transitions are polarized close to the direction of the lowest hole effective mass for the valence band participating in the transition.

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Section: Introductionmentioning

confidence: 99%

Band-to-band transitions, selection rules, effective mass, and excitonic contributions in monoclinic β−Ga2O3

et al. 2017

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“…2 and 3 by the fringes or false color oscillations seen at the edges of the fiber. Therefore, the absolute magnitude of linear birefringence can only be recovered after a careful determination of the order of birefringence [11,12].…”

Section: Application To Textile Fibersmentioning

confidence: 99%

“…In Mueller matrix representations, there exists a multiplicity in the values of the linear birefringence because they are embedded into trigonometric (i.e. multivalued) functions [11,12]. For example, LB values of 0 and 2πk (k=1,2,3..) will have the same Mueller matrix, so they will appear to be the same in the microscope.…”

Section: Application To Textile Fibersmentioning

confidence: 99%

Conversion of a polarization microscope into a Mueller matrix microscope. Application to the measurement of textile fibers

Kuntman¹,

Arteaga²,

Roca³

et al. 2015

Opt. Pura Apl.

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Conversión de un microscopio de polarización en un microscopio de matriz de Mueller. Aplicación a la medida de fibras textiles. ABSTRACT:This work reports the conversion of a commercial polarization microscope (Zeiss Jenaval) into an automatized Mueller matrix microscope. A Mueller matrix measurement provides the value of all the optical properties of a specimen (linear dichroism, linear birefringence, circular dichroism etc.) at a specific wavelength. In contrast to traditional polarization microscopes, which use white light and crossed polarizers to generate colored interference patterns that are analyzed by the microscope user and give only semi-quantitative results, here we demonstrate that it is possible to convert a polarization microscope into a Mueller microscope by only adding two motorized rotating compensators into the optical path without altering the optics or other opto-mechanical elements of the microscope. To our knowledge this is the most compact, fast and handy Mueller microscope ever developed. The performance of this new Mueller matrix microscope is illustrated with some birefringence measurements on textile fibers.Key words: microscopy, polarimetry, Mueller matrix, birefringence. RESUMEN:Este trabajo describe la conversión de un microscopio de polarización comercial (Zeiss Jenaval) en un microscopio de matriz de Mueller automatizado. Una medida de la matriz de Mueller proporciona todas las propiedades ópticas de una muestra (dicroísmo lineal, birrefringencia lineal, dicroísmo circular, etc) para una longitud de onda dada. Los microscopios de polarización tradicionales usan luz blanca y polarizadores cruzados para generar un patrón de colores interferencia que debe ser interpretado por el usuario del microscopio y proporciona resultados sólo semi-cuantitativos. En este trabajo demostramos que añadiendo dos compensadores rotatorios actuados por sendos motores es posible convertir un microscopio de polarización en un microscopio de matriz de Mueller sin alterar la óptica u otros elementos opto-mecánicos del microscopio. Creemos que este es el microscopio de matriz de Mueller más compacto, rápido y práctico que se ha desarrollado. El funcionamiento de este microscopio se demuestra con algunas medidas de birrefringencia en fibras textiles.Palabras clave: microscopía, polarimetría, matriz de Mueller, birrefringencia.

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“…[67] Most recently, Arteaga et al introduced dual photoelastic modulators for the measurement of the optical rotation anisotropy in quartz by transmission ellipsometry/polarimetry. [68] The Stokes-Mueller calculus is naturally suited to the extraction of polarimetric parameters. Transmission ellipsometry analyzes the linear optical properties of a complex sample through the Mueller matrix (M), [69,70] the linear operator that describes the transformation of the input Stokes vector (S in ) describing the polarization state of the instrument-generated light, to the output Stokes vector (S out ) generated after interaction by the sample: S out = MS in .…”

Section: Quartzmentioning

confidence: 99%

Arago’s Best Paper

Kahr

Arteaga

2011

ChemPhysChem

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The year 2011 is the bicentennial of François Arago's discovery of optical rotation. The immediate usurpation of the study of optical activity by Jean-Baptiste Biot led to the first well-known judgments of the arrangements of atoms in space. Scientists are less aware that Arago achieved something far greater than his contributions to optics, by signing the 1848 decree that abolished slavery throughout the French Empire. Opposing attitudes of Arago and Biot toward abolition, foreshadowed in their early rift over optical rotation, were surprisingly exposed in mid-century developments in chiroptics. As shown in a recent book by Levitt, Arago sought a reinvention of the whole colonial plantation system consistent with Republican principles, while Biot tried to place the cane sugar industry and slave-based economy on the quantitative foundation of saccharimetry. A reevaluation of the circumstances of abolition can celebrate both societal evolution and optical rotation on the 200th birthday of the latter. Episodes from Arago's life that arguably created his predisposition toward abolition are emphasized: He was imprisoned several times as a young man and knew the loss of liberty, his brother Jacques witnessed slavery in Brazil and advocated abolition in travel books prepared with François, and finally, in writing the biography of the Marquis de Condorcet, the spirit behind the first, albeit impermanent French abolition of slavery in 1794, Arago found proof of concept for his comparable challenge. Curiously, the measurement of the optical rotation of crystals and sugar, the foci of Arago and Biot, respectively, remain among the greatest challenges in polarimetry. Current developments are reviewed with respect to chiroptical anisotropy and in vivo glucose detection driven by the pandemic of diabetes, a disease diagnosed polarimetrically by Biot that claimed the life of Arago.

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Determination of the components of the gyration tensor of quartz by oblique incidence transmission two-modulator generalized ellipsometry

Cited by 46 publications

References 35 publications

Band-to-band transitions, selection rules, effective mass, and excitonic contributions in monoclinic β−Ga2O3

Band-to-band transitions, selection rules, effective mass, and excitonic contributions in monoclinic β−Ga2O3

Conversion of a polarization microscope into a Mueller matrix microscope. Application to the measurement of textile fibers

Arago’s Best Paper

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