The influence of the structure of different arsenic chalcogenide glasses on the dispersion parameters of a sellmeier and a Lorentz-Lorenz relation

Burckhardt, W.; Feltz, A.; Bussemer, P.

doi:10.1016/s0022-3093(87)80270-3

Cited by 7 publications

(2 citation statements)

References 18 publications

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“…The refractive index dispersion in the visible region was expressed by the Lorentz–Lorenz‐type dispersion formula 17 :

\frac{n^{2} + 2}{n^{2} ‐ 1} = \frac{3 π m c^{2}}{e^{2} N f} (\frac{1}{λ_{0}^{2}} ‐ \frac{1}{λ^{2}})

where, n denotes the refractive index at a wavelength of λ ; m , the electron mass; c , the velocity of light; e , the elementary charge; N , the number of oscillators in a unit volume; f , the average oscillator strength; and λ 0 , the inherent absorption wavelength or average resonance wavelength of the oscillator. Based on this model, the plot of 1/( n 2 − 1) versus 1/ λ 2 was expected to be a straight line with a slope of − πmc 2 / e 2 Nf , and a y ‐axis intercept given by πmc 2 / e 2 Nfλ 0 2 − 1/3.…”

Section: Resultsmentioning

confidence: 99%

Optical properties of novel oxyfluoride glasses on the systems of LaF₃–LaO_3/2–NbO_5/2 and LaF₃–LaO_3/2–NbO_5/2–AlO_3/2

et al. 2021

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Optical glasses are used in numerous applications, such as optical windows, individual lenses, photographic lenses, microscopes, and telescopes. 1 Optical imaging systems use these optical glasses to refract the light rays emitted from a point on the object plane such that the rays are focused at a single point on the image plane. 1 Among the various optical glasses, glasses with high refractive index play a significant role in the field of optical design. They can reduce spherical aberrations and shrink the dimensions of lens systems. 2 Generally, heavy-metal oxides, such as PbO, Bi 2 O 3 , and TeO 2 , are required to achieve a high refractive index, but these p-block heavy-metal oxides result in colored glasses. 3 Since transparency in the visible range is an important property of optical glass, colorless glasses with high refractive index are attractive materials. The refractive index depends on the wavelength of the light. Therefore, incident lights are separated for each wavelength, and this phenomenon is known as dispersion. Low-dispersion glasses can be utilized to reduce chromatic aberrations. 2 The combination of a high refractive index and low dispersion allows for an efficient color correction with small dimensions. 4 Recently, Masuno et al. have reported that La 2 O 3 -Nb 2 O 5 binary glasses exhibit excellent optical properties, such as lack of color in the visible region, wide transparency in

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“…The refractive index dispersion in the visible region was expressed by the Lorentz–Lorenz‐type dispersion formula 17 :

\frac{n^{2} + 2}{n^{2} ‐ 1} = \frac{3 π m c^{2}}{e^{2} N f} (\frac{1}{λ_{0}^{2}} ‐ \frac{1}{λ^{2}})

Section: Resultsmentioning

confidence: 99%

Optical properties of novel oxyfluoride glasses on the systems of LaF₃–LaO_3/2–NbO_5/2 and LaF₃–LaO_3/2–NbO_5/2–AlO_3/2

et al. 2021

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“…В даному випадку слово «резонанси» взято у лапки тому, що коефіцієнти у формулі (5) визначаються за результатами вимірювань методом підгонки [2,4], а тому обчислені довжини хвиль k l не обов'язково співпадають з будьякими довжинами хвиль атомних або іонних резонансів. Відмітимо, що модель у формі (5) широко використовується у сучасних наукових дослідженнях [17][18][19][20].…”

Section: аналіз літературних джерелunclassified

Phenomenological models of the main characteristics of a step optical fiber

Odegov¹,

Hlushchenko²,

Duridivka³

2020

ПТ

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The paper considers a group of polynomial models of various characteristics of an optical fiber (OF) depending on the wavelength and chemical composition of the fiber. A method for structural identification of such models is proposed. The following characteristics are considered: the refractive index of the fiber core and cladding, group refractive index, group velocity, dispersion coefficients, numerical aperture, cutoff wavelength of the fundamental mode, etc. An analysis of the well-known Cauchy, Lorentz-Lorenz equations, Sellmeier’s formulas, etc. is given in relation to the problem being solved. The applied method of structural identification provides for the decomposition of a complex computational problem into simpler ones. This technique involves the identification of polynomial models for different samples of a substance. After that, structural identification is performed by the parameter of the additives to quartz glass. The proposed method and models are tested on the example of parameter values: the wavelength range is from 0.8 to 1.8 μm, the type of optical fiber is single-mode, and the refractive index is stepped. For calculations, the tabular values of the coefficients of the Sellmeier formula for SiO2 with GeO2 additions from 0% to 13.5% were used. It is shown that the dependence of the main characteristics of OF on wavelength and chemical composition is modeled with sufficient accuracy by a polynomial model. Indicators of the highest degree on two arguments can be limited to the third degree. The synthesized models have an interpolation and extrapolation error in the considered ranges of the order of 0.001%. This makes it possible to recommend them for scientific and engineering applications, as well as for solving problems of the production of organic matter with predictable characteristics.

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Friedrich‐Schiller‐Universität Jena

2017

Geschichte Der Anorganischen Chemie

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The influence of the structure of different arsenic chalcogenide glasses on the dispersion parameters of a sellmeier and a Lorentz-Lorenz relation

Cited by 7 publications

References 18 publications

Optical properties of novel oxyfluoride glasses on the systems of LaF₃–LaO_3/2–NbO_5/2 and LaF₃–LaO_3/2–NbO_5/2–AlO_3/2

Optical properties of novel oxyfluoride glasses on the systems of LaF₃–LaO_3/2–NbO_5/2 and LaF₃–LaO_3/2–NbO_5/2–AlO_3/2

Phenomenological models of the main characteristics of a step optical fiber

Friedrich‐Schiller‐Universität Jena

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The influence of the structure of different arsenic chalcogenide glasses on the dispersion parameters of a sellmeier and a Lorentz-Lorenz relation

Cited by 7 publications

References 18 publications

Optical properties of novel oxyfluoride glasses on the systems of LaF3–LaO3/2–NbO5/2 and LaF3–LaO3/2–NbO5/2–AlO3/2

Optical properties of novel oxyfluoride glasses on the systems of LaF3–LaO3/2–NbO5/2 and LaF3–LaO3/2–NbO5/2–AlO3/2

Phenomenological models of the main characteristics of a step optical fiber

Friedrich‐Schiller‐Universität Jena

Contact Info

Product

Resources

About

Optical properties of novel oxyfluoride glasses on the systems of LaF₃–LaO_3/2–NbO_5/2 and LaF₃–LaO_3/2–NbO_5/2–AlO_3/2

Optical properties of novel oxyfluoride glasses on the systems of LaF₃–LaO_3/2–NbO_5/2 and LaF₃–LaO_3/2–NbO_5/2–AlO_3/2