Investigation of the Third-Order Nonlinear Optical Susceptibilities and Nonlinear Refractive Index In Pbs/Cdse/Cds Spherical Quantum Dot

Journal of Optoelectronical Nanostructures

مقاله 6، دوره 3، شماره 1 - شماره پیاپی 8، فروردین 2018، صفحه 65-78   

نوع مقاله: Articles

نویسندگان

Fatemeh Rahmani؛ Javad Hasanzadeh^*

Department of Physics, Takestan Branch, Islamic Azad University, Takestan, Iran

تاریخ دریافت: 01 بهمن 1396،  تاریخ بازنگری: 17 اسفند 1396،  تاریخ پذیرش: 10 اردیبهشت 1397 

چکیده

In this study the third order nonlinear susceptibilities are theoretically
calculated for an electron confined in an isolated PbS/ CdSe/ CdS spherical core-shellshell
quantum dots. Our calculation is associated with intersubband transitions in the
conduction band. We used the effective mass approximation in this study which is a
simple and straightforward study of the third-order optical nonlinearity in nanometersized
parabolic quantum dots and solved a three-dimensional Schrӧdinger equation. The third
order nonlinear susceptibilities are analyzed as function of core, shell radii. Our study
show great dependence of third order nonlinear susceptibilities on size of core and shell.
Also In the case of Kerr-type nonlinearities, nonlinear refractive index n2 and the
nonlinear absorption coefficient β are investigated as function of the ratio k0/n0 (where n0
and k0 are the real and imaginary part of linear refractive index respectively) for different
value of imaginary and real parts of the third order susceptibility.

کلیدواژه‌ها

Core–Shell-Shell Quantum Dot؛ Nonlinear Optical Susceptibility؛ Nonlinear Refractive Index

مراجع

[1] P. Resis, S. Carayon, J. Bleuse, A. Pron, Low polydispersity core/shell nanocrystals of CdSe/ZnSe and CdSe/ZnSe/ZnS type: preparation and optical studies, Synthetic Metals 139, (2003) 649-652.
[2] M. Cristea, E.C. Niculescu. ,Hydrogenic impurity states in CdSe/ZnS and ZnS/CdSe core-shell nanodots with dielectric mismatch, Eur Phys J B 85 (2012) 191(1-13).
[3] E.C. Niculescu, M. Cristea,Impurity states and photoionization cross section in CdSe/ZnS core–shell nanodots with dielectric confinement, J Lumin 135 (2013) 120–127.
[4] M. Cristea, A. Radu, E.C. Niculescu, Electric field effect on the third-order nonlinear optical susceptibility in inverted core–shell nanodots with dielectric confinement,. J Lumin 143 (2013) 592–599.
[5] S. Gottapu and K. Muralidharan, Room temperature synthesis of organic surfactant-free PbS and PbSe nanoparticles exhibiting NIR absorption, New J. Chem., 40 (2016) 832-837.
[6] Z. Gui, G. Xiong, F. Gao ,Parameter-dependent third-order nonlinear susceptibility of parabolic InGaN/GaN quantum dots, Microelectronics Journal 38 (2007) 447–451. [7] X. Feng, G. Xiong_, X. Zhang, H. Gao, Third-order nonlinear optical susceptibilities associated with intersubband transitions in CdSe/ZnS core–shell quantum dots, Physica B 383 (2006) 207–212. [8] L. Liu, J. Li, G. Xiong, Studies of the third-order nonlinear optical susceptibility for InxGa1− xN/GaN cylinder quantum dots, Physica E 25 (2005) 466.
[9] D J. Griffiths, Introduction to Quantum Mechanics. Boston, Addison-Wesley; 2004.
[10] G. Guizzett, F. Filippin; E. Reguzzon, G.Samoggia, Electrical Properties and Spectral Response of PbS_Ge Heterojunctions, Phys. Status Solidi A 6 (1971) 605–610.
[11] R. A. Knapp, Photoelectric Properties of Lead Sulfide in the Near and Vacuum Ultraviolet, Phys. Rev. 132 (1963) 1891– 1897.
[12] http://www.tf.uni-kiel.de/matwis/amat/semi_en/kap_2/backbone/r2_3_1.html.
[13] M. Şahin, S. Nizamoglu, A. Emre Kavruk and H. Volkan Demir ,Self-consistent computation of electronic and optical properties of a single exciton in a spherical quantum dot via matrix diagonalization method, J App. Phys. 106 (2009) 43704-5.
[14] S. Khosroabadi,S. H. Keshmiri, S. Marjani ,Design of a high efficiency CdS/CdTe solar cell withoptimized step doping, film thickness, and carrier lifetime of the absorption layer, J. Europ. Opt. Soc. Rap. Public. 9 (2014) 14052(1-6).
[15] J.W. Haus, H.S. Zhou, I. Honma, H. Komiyama, Quantum confinement in semiconductor heterostructure nanometer-size particles, Phys. Rev. B 47 (1993) 1359-1365.
[16] D.J. Ben Daniel, C.B. Duke, Space-Charge Effects on Electron Tunneling, Phys. Rev. 152 (1968) 683-692. [17] L.E. Brus, A simple model for the ionization potential, electron affinity, and aqueous redox potentials of small semiconductor crystallites, J. Chem. Phys. 79 (1983) 5566-5571.
[18] M. Kouhi, A. Vahedi, A. Akbarzadeh, Y. Hanifehpour and S. W. Joo ,Investigation of quadratic electro-optic effects and electro-absorption process in GaN/AlGaN spherical quantum dot, Nanoscale Research Letters 9 (2014) 131(1-6).
[19] T. Takagahara, Excitonic optical nonlinearity and exciton dynamics in semiconductor quantum dots, Phys. Rev. B 36 (1987) 9293.
[20] X.N. Liu and D.Z. Yao, Parameter-dependent third-order optical nonlinearity in a CdSe/ZnS quantum dot quantum well in the vicinity of a gold nanoparticle, Eur. Phys. J. B 78 (2010) 95–102.
[21] I. Hemdana, M. Mahdouani and R. Bourguiga, Investigation of the third-order nonlinear optical susceptibilities associated with intersubband transitions in CdSe/ZnS/SiO2 core/shell/shell quantum dot, Superlattices and Microstructures 60 (2013) 336–348.
[22] R. Coso and J. Solis, Relation between nonlinear refractive index and third order susceptibility in absorbing media, J. Opt. Soc. Am. B. 21(3) (2004) 640-644.