Line shape of the optical dielectric function

Garland, J. W.; Abad, H.; Viccaro, M. H. de A.; Raccah, P. M.

doi:10.1063/1.99641

Cited by 43 publications

(15 citation statements)

References 15 publications

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“…effect 32,55,57,[63][64][65] The Lorentzian function has wide wings, which give rise to the excessive absorption below the band gap. Simple Lorentzian broadening, which is frequently used, does not represent accurate approximation of the lifetime broadening.…”

Section: Adjustable Broadening Concept and Modified Critical Pointmentioning

confidence: 99%

“…But it should be pointed out that this model gives excellent approximation of both the dielectric function and its first three derivatives. 63 Since broadening is neither pure Gaussian nor pure Lorentzian, an adjustable broadening concept is necessary to deal with this problem. 68 It has been shown that improvement in the agreement with the experimental data can be achieved by replacing the damping constant ⌫ with Eq.…”

Section: Adjustable Broadening Concept and Modified Critical Pointmentioning

confidence: 99%

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Dielectric function models for describing the optical properties of hexagonal GaN

Djurišić¹,

Li²

2001

Journal of Applied Physics

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Articles you may be interested inTemperature dependent dielectric function and the E 0 critical points of hexagonal GaN from 30 to 690 K AIP Advances 4, 027124 (2014); 10.1063/1.4867094Optical constants of cubic GaN/GaAs(001): Experiment and modeling Several different models have been employed for modeling the dielectric function of hexagonal GaN in the range from 1 to 10 eV. Models are compared in terms of number of parameters required, intricacy of model equations, and possibility of accurate estimation of important physical parameters, such as energies of critical points and exciton binding energies. Shortcomings and advantages of each model are discussed in detail. Excellent agreement with the experimental data for GaN has been achieved with three of the investigated models. It has also been shown that an assumption of adjustable broadening instead of a purely Lorentzian one improves the agreement with the experimental data and enables elimination of excessive absorption below the gap which is inherent to the models with Lorentzian broadening.

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Section: Adjustable Broadening Concept and Modified Critical Pointmentioning

confidence: 99%

Section: Adjustable Broadening Concept and Modified Critical Pointmentioning

confidence: 99%

Dielectric function models for describing the optical properties of hexagonal GaN

Djurišić¹,

Li²

2001

Journal of Applied Physics

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“…The simultaneous numerical differentiation of both the experimental and model data 14 emphasizes individual CP line shape parameters and greatly reduces parameter correlations, resulting in more stable fits. It has the same sensitivity to alloy composition as E 0 , although its amplitude is significantly smaller.…”

Section: Optimization Of the Model Parametersmentioning

confidence: 99%

In-situ control of temperature and alloy composition of Cd1−xZnxTe grown by molecular beam epitaxy

Daraselia

Brill

Garland

et al. 2000

Journal of Elec Materi

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In this work in-situ spectroscopic ellipsometry (SE) has been applied for the simultaneous determination of the growth temperature and alloy composition for the epitaxial Cd 1-x Zn x Te(211)/Si(211) structure. The optical dielectric functions of CdTe and Cd 0.96 Zn 0.04 Te (CZT) epilayers were studied as a function of temperature both ex-situ and in-situ in the range from 1.6 eV to 4.5 eV. We employed parametric models for the simulation of the optical properties of CZT at and between the critical points (CP) E 0 , E 0 + ∆ 0 , E 1 , E 1 + ∆ 1 , E 2 (∑) and E 2 (Σ). Critical point energies and line widths for Cd 1-x Zn x Te were obtained through the fitting process, which included both zero order and higher order derivatives of the SE pseudo dielectric function. The dependence of the different critical points on Zn concentration x is discussed. It has been demonstrated that the energy of the weak E 0 + ∆ 0 transition can be used to measure composition, while the E 1 energy can be used as a real-time temperature measure. The model parameters were optimized through the simultaneous analysis of multiple data sets, and the temperature dependent model was developed for in-situ application. Our analysis is estimated to produce uncertainties of only ±0.5°C in measuring the temperature and ±0.5% in measuring the composition if only the zero order dielectric function is being fitted. The effects of a surface overlayer, of reflected beam deflections, and of other experimental problems on the overall accuracy, are discussed as well as ways to improve the in-situ SE data quality.

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“…Nevertheless, even this simple case leads to considerably involved numerical procedures, so that the convolution of the Lorentzian and the Gaussian lineshapes is often replaced by a simple superposition of both lines. Recently, inhomogeneous line broadening has been recognized to significantly influence the dielectric function of semiconductor crystals even below room temperature and several models have been developed to consider Gaussian line broadening in critical point analysis procedures [2,3].…”

Section: Introductionmentioning

confidence: 99%

First-Principles Study on Electronic Structure and Thermodynamic Stability of Sr(Ti,Ru)O₃

Shimizu¹,

Kawakubo²

2001

Jpn. J. Appl. Phys.

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A fast numerical procedure to calculate the convolution of Gaussian and Lorentzian functions is introduced as well as its application to the approximation of experimental spectra. It is shown that these spectra can be well approximated with the method, especially in the case when the inhomogeneous and homogeneous linewidth contributions as parameters of a Voigt lineshape are of the same order of magnitude. Particularly, the method is applicable to refractive index modelling in the vicinity of inhomogeneously broadened absorption lines.

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Line shape of the optical dielectric function

Cited by 43 publications

References 15 publications

Dielectric function models for describing the optical properties of hexagonal GaN

Dielectric function models for describing the optical properties of hexagonal GaN

In-situ control of temperature and alloy composition of Cd1−xZnxTe grown by molecular beam epitaxy

First-Principles Study on Electronic Structure and Thermodynamic Stability of Sr(Ti,Ru)O₃

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Line shape of the optical dielectric function

Cited by 43 publications

References 15 publications

Dielectric function models for describing the optical properties of hexagonal GaN

Dielectric function models for describing the optical properties of hexagonal GaN

In-situ control of temperature and alloy composition of Cd1−xZnxTe grown by molecular beam epitaxy

First-Principles Study on Electronic Structure and Thermodynamic Stability of Sr(Ti,Ru)O3

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First-Principles Study on Electronic Structure and Thermodynamic Stability of Sr(Ti,Ru)O₃