Accounting for the imperfection of the spectrophotometric complex optical elements when measuring transmission spectra of gyrotropic uniaxial crystals. II. Samples are cut parallel to the optical axis

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A theoretical and experimental study of the effect of imperfections of the polarizer, analyzer and photomultiplier tube (PMT) on the measurement results of the transmission coefficient spectra of the langasite family crystals cut parallel to the optical axis has been carried out. It is shown that in the absence of an analyzer, oscillations appear on the transmission spectra, the amplitude of which depends on the rotation of the crystal. These oscillations are associated with linear birefringence and appear due to the imperfection of the PMT, which plays the role of a partial analyzer. From the obtained spectra, the parameters of the PMT are calculated depending on the wavelength. The calculation of the birefringence of the studied crystals was carried out and an estimate of the error of such calculation was obtained. It is shown that the imperfection of optical elements does not lead to additional errors in the calculation of birefringence. Thus, when the plate is cut perpendicular to the optical axis, circular birefringence is manifested, when parallel, there is linear birefringence.

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作者简介

T. Golovina

Shubnikov Institute of Crystallography of Kurchatov Complex of Crystallography and Photonics of NRC “Kurchatov Institute”

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Email: tatgolovina@mail.ru
俄罗斯联邦, Moscow

A. Konstantinova

Shubnikov Institute of Crystallography of Kurchatov Complex of Crystallography and Photonics of NRC “Kurchatov Institute”

Email: tatgolovina@mail.ru
俄罗斯联邦, Moscow

Е. Zabelina

National University of Science and Technology MISIS

Email: tatgolovina@mail.ru
俄罗斯联邦, Moscow

N. Kozlova

National University of Science and Technology MISIS

Email: tatgolovina@mail.ru
俄罗斯联邦, Moscow

V. Kasimova

National University of Science and Technology MISIS

Email: tatgolovina@mail.ru
俄罗斯联邦, Moscow

参考

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2. Fig. 1. Transmission spectra in unpolarized light at different sample rotations φ: a – katangasite Ca3TaGa3Si2O14, φ changes from 0° to 105° in 15° increments, inset – spectra for φ = 0°, 45° and 90° on an enlarged scale; b – langasite La3Ga5SiO14, φ = 0°, 45° and 90°, inset – the same spectra on an enlarged scale.

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3. Fig. 2. Experimental at φ = 0°, 45° (left) and calculated at φ = 45° with a non-ideal PMT (right) transmission spectra of x-cut Ca3TaGa3Si2O14, d = 1 mm (a, b), La3Ga5SiO14, d = 1 mm (c, d), La3Ga5.5Ta0.5O14, d = 1 mm (d, f) and quartz, d = 3.1 mm (g, h) samples in the range of 300–2500 nm, p- and s-polarization. Oscillating curves in the middle are the average values ​​of (Ip(φ = 45°) + Is(φ = 45°))/2.

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4. Fig. 3. Calculated values ​​of f1/f2: 1 – katangasite, 2 – langasite, 3 – langatate, 4 – quartz. The solid line is an approximation based on the points obtained for all four crystals. The dotted line shows the values ​​of f1/f2 calculated in [1] for z-cut katangasite samples with a thickness of 1 mm (1') and 10 mm (1").

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5. Fig. 4. Transmission spectra for samples of katangasite (a, b, c) and langasite (g, d, e) with parallel and crossed polarizers (α = 0, β = 0, 90°), the angle between the optical axis and the direction of greatest transmission of the polarizer φ = 45°. The experimental spectra are given in the ranges of 300–2500 nm (a, d) and 1500–2500 nm (b, d), the calculated ones – in the range of 1500–2500 nm (c, e).

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