IOSR Journal of Applied Physics (IOSR-JAP) e-ISSN: 2278-4861.Volume 11, Issue 2 Ser. I (Mar. – Apr. 2019), PP 29-30 www.iosrjournals.org DOI: 10.9790/4861-1102012930 www.iosrjournals.org 29 | Page Non-linear Optical Analysis of (Ge 0.17 Se 0.83 ) 100-X In X Chalcogenide glassy systems Amba Prasad 1 , Ashish Kumar Saxena 2 1 Department of Physics, Rajkiya Mahila Degree College, Buduan-243601, (U.P.)-India 2 Department of Physics, N.M.S.N.Dass P.G. College, Buduan-243601, (U.P.)-India Corresponding Author: Amba Prasad Abstract:- Ternary (Ge 0.17 Se 0.83 ) 100-X In X Chalcogenide glassy alloys has been prepared by melt quenching technique. Various non-linear optical parameters such as third-order non-linear suspectibility ( χ (3) ) and non- linear refractive index(n 2 ) from linear optical parameters (χ (1) ), n and E g determined. E g and refractive index (n) has been determined directly from the semi-empirical relation proposed by R.R.Reddy. The obtained data shows that the value of E g decreases with the increase of In concentration, while the values of n 2 , n, ( χ (3) ) and (χ (1) ) increases with the increase in In concentration. Key words:- Non-linear optical susceptibility and refractive index --------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 22-02-2019 Date of acceptance: 08-03-2019 --------------------------------------------------------------------------------------------------------------------------------------- I. Introduction Non-linear optical effects in glasses have come in to focus of many researchers because of their potential use in ultra-fast optical switching devices, frequency converters, electro-optic modulators and devices, all optical circuits and all optical signal processing [1-5]. Glasses containing highly polarizable atoms or ions were expected to have large non-linear optical properties namely the chalcogenides (sulphides, selenides and tellurides) have become very interesting [6]. Chalcogenide glasses have been attracted recently a substantial interest as they have highest linear and non-linear refractive index amongst glasses resulting in highest non-linear properties and are of significance in advancing the next generation photonic chips, platform for ultra-fast all- optical signal processing [7]. In the present work we have calculated the non-linear optical parameters in (Ge 0.17 Se 0.83 ) 100-X In X glassy systems and have examined how the non linear refractive index behaves with linear refractive index. Non-linear Optical Analysis:- The non-linear refractive index (n 2 ) can be determined using the semi-empirical relation of Ticha et al [8] as- n 2 = B / E g 4 (1) Where B = 1.26 x 10 -9 [esu(eV) 4 ]. Putting the value of E g [9], we obtain the different values of n 2 for different concentration of In%. The calculated values of n 2 are listed in Table-(1). Approximate determination of third-order non-linear susceptibility χ (3) can be performed by using the generalized to Miller”s formula [10-11] as- χ (3) = A(χ (1) ) 4 (2) Where χ (1) is the linear optical susceptibility and A is a constant having estimated value 1.7 X 10 -10 in (esu) For amorphous chalcogenide glassy systems the first order approximation of the first order linear susceptibility χ (1) is calculated by using the following equation- χ (1) = (n 2 – 1)/4π (3) Where n is the linear refractive index which is calculated by the proposed empirical relation given by Reddy et.al [12-13] as- n = (12.417/E g – 0.365) 1/2 (4)