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optical functions of (x)GeO₂:(1-x)SiO₂ films determined by multi-sample and multi-angle spectroscopic ellipsometry

OPTICS EXPRESS 2005年第3期13卷 1049-1054页

作者： Ho, CKF Pita, K Ngo, NQ Kam, CH Nanyang Technol Univ Sch Elect & Elect Engn Photon Res Ctr Singapore 639798 Singapore

Thin films of (x)GeO2:(1-x)SiO2, 0 less than or equal to x less than or equal to 0.4, were fabricated via the sol-gel technique. Many applications of optics and photonics can benefit from the knowledge of the optical dispersion relationship of this ubiquitous binary ceramic material. The optical properties of the homogeneous and amorphous silica-based films were derived by spectroscopic ellipsometry ( SE) with a multi-sample and multi-angle technique. The physical model used in SE has been rigorously verified. A simple, yet reliable, method is described to produce a dispersion-composition surface for visualizing, and hence, predicting refractive indices of the films. The Sellmeier model was effectively used to describe the optical dispersion properties of the GeO2:SiO2 films for a range of wavelengths from 210 to 1700 nm. Dispersion parameters were determined to evaluate the change in the compositional-dependent dispersion characteristics. In addition, the material dispersion coefficient and zero-dispersion wavelength were found to vary with x. (C) 2005 optical Society of America.

关键词： .hence refractive optical properties silica zero-dispersion derived relationship SOL-GEL optical functions planar waveguides material dispersion Sellmeier dispersion parameters GeO SiO

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Progress in the room-temperature optical functions of semiconductors

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MATERIALS SCIENCE & ENGINEERING R-REPORTS 2002年第6期38卷 237-293页

作者： Djurisic, AB Chan, Y Li, EH Univ Hong Kong Dept Elect & Elect Engn Hong Kong Hong Kong Peoples R China Univ Hong Kong Dept Phys Hong Kong Hong Kong Peoples R China

optical functions of a specific semiconductor in a particular wavelength region are often needed in optics and optoelectronics research. Basic optical properties of some materials are available in handbooks, but recent advances in the experimental techniques for growth, sample preparation and determination of optical functions, as well as theoretical advances in modeling the optical functions, prompted demand for a review of the state of the art of the optical functions of some important semiconductor materials. This paper gives an overview of the experimental methods for the determination of optical functions in the 1-6 eV spectral range and the available models for calculating the optical functions. Also, the paper summarizes the progress in the study of optical functions of several important semiconductors such as GaP, InP, InAs, GaSb, InSb, AlSb, AlGa1-xAs, HgxCd1-xTe, SixGe1-x, GaN, InN, AlN, 6H-SiC, and ZnO. Besides discussing the available data and expected positions of optical transitions, the paper focuses on the model of the dielectric function which allows reproducing accurately the experimental dielectric function values for all the materials considered here. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： optical functions semiconductors

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Angular properties of the partially confined plane-parallel system optical functions on dielectric and absorbent substrate

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OPTIK 2003年第9期114卷 418-426页

作者： Delgado, M Delgado, E IES Juan Carlos 1 Madrid 28350 Spain

The angular properties of the optical functions and reflectance of two partially confined dielectric systems on a dielectric or absorbent substrate, respectively, have been studied. Thereafter, the obtained results ha... 详细信息

关键词： confined systems optical functions absorbent and dielectric substrates reflectance critical angle

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Infrared optical functions of Water Retrieved Using Attenuated Total Reflection Spectroscopy

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APPLIED SPECTROSCOPY 2023年第2期77卷 178-186页

作者： Vieira, Luis G. Univ Minho Ctr Fis Univ Minho & Porto CF UM UP Lab Fis Mat & Tecnol Emergentes LaPMET Braga Portugal Univ Minho Dept Fis Campus Gualtar P-4710057 Braga Portugal

Comprehensive modeling of non-polarized infrared attenuated total reflection spectrum based on Fresnel equations and wavenumber-dependent dielectric function models of isotropic materials is shown to be a suitable and easy methodology to retrieve optical functions. The scheme is completely general and can be used even for strong dispersion and absorption resonances. Attenuated total reflection spectra in liquid water, measured in the spectral region 100-4400 cm(-1) with diamond and germanium as internal reflection elements, were used to illustrate and evaluate the method. The refractive index of water computed from the dispersion analysis is critically compared with literature data.

关键词： Infrared spectroscopy attenuated total reflection ATR spectrum modelling optical functions water

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Kramers-Kronig-consistent optical functions of anisotropic crystals: generalized spectroscopic ellipsometry on pentacene

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OPTICS EXPRESS 2008年第24期16卷 19770-19778页

作者： Dressel, M. Gompf, B. Faltermeier, D. Tripathi, A. K. Pflaum, J. Schubert, M. Univ Stuttgart Inst Phys D-70550 Stuttgart Germany Univ Wurzburg D-97074 Wurzburg Germany Univ Nebraska Dept Elect Engn Lincoln NE 68588 USA

The Kramers-Kronig relations between the real and imaginary parts of a response function are widely used in solid-state physics to evaluate the corresponding quantity if only one component is measured. They are among the most fundamental statements since only based on the analytical behavior and causal nature of the material response [Phys. Rev. 104, 1760-1770 (1956)]. optical losses, for instance, can be obtained from the dispersion of the dielectric constant at all wavelengths, and vice versa [Handbook of optical constants of solids, Vol. 1, p. 35]. Although the general validity was never casted into doubt, it is a longstanding problem that Kramers-Kronig relations cannot simply be applied to anisotropic crystalline materials because contributions from different directions mix in a frequency-dependent way. Here we present a general method to identify frequency-independent principal polarizability directions for which the Kramers-Kronig relations are obeyed even in materials with lowest symmetry. Using generalized spectroscopic ellipsometry on a single crystal surface of triclinic pentacene, as an example, enables us to evaluate the complex dielectric constant and to compare it with band-structure calculations along the crystallographic directions. A general recipe is provided how to proceed from a macroscopic measurement on a low symmetry crystal plane to the microscopic dielectric properties of the unit cell, along whose axes the Kramers-Kronig relations hold. (c) 2008 optical Society of America

关键词： .pentacene optical functions polarizability optical constants complex dielectric Kramers-Kronig triclinic real and imaginary crystal surface band-structure calculations generalized spectroscopic ellipsometry microscopic dielectric

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Piecewise polynomial dielectric function model and its application for the retrieval of optical functions

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APPLIED SPECTROSCOPY 2007年第6期61卷 644-648页

作者： Meneses, Domingos De Sousa Rousseau, Benoit Echegut, Patrick Matzen, Guy CNRS CRMHT F-45071 Orleans 2 France Politecn Orleans F-45072 Orleans 2 France

A new expression of dielectric function model based on piecewise polynomials is introduced. Its association with spline and more recent shape preserving interpolation algorithms allows easy reproduction of every kind of experimental spectra and thus retrieval of all the linear optical functions of a material. Based on a pure mathematical framework, the expression of the model is always applicable and does not necessitate any knowledge of the microscopic mechanisms of absorption responsible for the optical response. The potential of piecewise polynomial dielectric functions is shown through synthetic examples and the analysis of experimental spectra.

关键词： infrared spectroscopy IR spectroscopy dielectric function model optical functions Kramers-Kronig relations

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Effect of substitution group variation on the optical functions of-5-sulfono-7-(4-x phenyl azo)-8-hydroxy quinoline thin films

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CURRENT APPLIED PHYSICS 2013年第9期13卷 1960-1966页

作者： Zeyada, H. M. El-Ghamaz, N. A. Gaml, E. A. Damietta Univ Fac Sci Dept Phys New Damietta 34517 Egypt

-5-Sulfono-7-(4-x phenyl azo)-8-hydroxy quinoline (SAHQ)-x ligands, x - NO2 or CH3 or Cl have polycrystalline structure in as synthesized condition. Thermally evaporated thin films of SAHQ-x have crystal structure depending on the substitution group;SAHQ-NO2 and SAHQ-Cl films have nano-crystalline structure with different degree of crystallinity and SAHQ-CH3 film has amorphous structure. The changes in optical functions and therefore optical constants with substitution group variation have been calculated by using spectrophotometer measurements of the transmittance and reflectance at nearly normal incidence of light in the wavelength range 200-2500 nm. Substitution group variation influences the refractive index, dispersion parameters, optical functions and bond length of SAHQ. It has no influence on mobility, relaxation time and plasma frequency of charge carriers. The obtained optical energy gaps for SAHQ-x ligands, x - NO2 or CH3 or Cl are 1.89, 2 and 2eV, respectively. (C) 2013 Elsevier B. V. All rights reserved.

关键词： Quinoline compound derivatives optical functions Thin films

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Retrieval of linear optical functions from finite range spectra

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APPLIED SPECTROSCOPY 2007年第12期61卷 1390-1397页

作者： Meneses, Domingos De Sousa Rousseau, Benoit Echegut, Patrick Simon, Patrick CNRS CRMHT F-45071 Orleans 2 France Polytech Orleans F-45072 Orleans 2 France

There are many experimental situations in which infrared reflectivity spectra can be acquired only over a limited spectral range. It is therefore necessary to find computing procedures that allow the efficient analysis of such data. In this paper, we propose a new procedure labeled constrained finite range correction (CFRC) that can be advantageously substituted to multiply subtractive Kramers-Kronig relations. The constrained finite range correction is able to produce realistic results even when very little supplementary information is available. For semitransparent crystals, the hypothesis of the phase spectrum positiveness alone is often sufficient to compute satisfactory approximations of the optical functions. The efficiency of the new method is shown through the analysis of several synthetic and experimental spectra.

关键词： infrared spectroscopy IR spectroscopy Kramers-Kronig relations dielectric function model optical functions

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Temperature dependence of the optical functions of amorphous silicon-based materials: application to in situ temperature measurements by spectroscopic ellipsometry

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THIN SOLID FILMS 2004年第1-2期468卷 298-302页

作者： Daineka, D Suendo, V Cabarrocas, PRI Ecole Polytech CNRS UMR 7647 Lab Phys Interfaces & Couches Mines F-91128 Palaiseau France

The optical functions of amorphous silicon thin films have been studied with spectroscopic ellipsometry (SE) in the temperature range from 290 to 520 K. The ellipsometry data were modeled using Tauc-Lorentz dispersion law for amorphous materials. It has been found that the temperature coefficients of Tauc-Lorentz parameters, such as the optical gap, are rather similar for four different materials, which suggests that the obtained values are valid for a broad range of amorphous silicon-based materials and can be used to determine the surface temperature by ellipsometry. A practical example of using spectroscopic ellipsometry for in situ temperature measurements in the plasma enhanced chemical vapor deposition environment is given. (C) 2004 Elsevier B.V. All rights reserved.

关键词： optical functions amorphous silicon-based materials spectroscopic ellipsometry thin films ellipsometry temperature measurements

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CONTOUR LINES OF THE optical functions FOR SOLIDS

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OPTICS AND LASER TECHNOLOGY 1993年第6期25卷 393-395页

作者： WARD, L The author is at Coventry University Priory Street Coventry CV1 5F8 UK

The well-known equations for the optical functions of reflectance, transmittance and phase changes on reflection and transmission for a solid material have been rearranged into the form of simple geometric figures in ... 详细信息

关键词： REFLECTANCE TRANSMITTANCE optical functions

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