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العنوان
A Theoretical Study on the Optical Properties of Low Dimensional Nanostructures /
المؤلف
Ali, Aya Mohamed Shafee.
هيئة الاعداد
باحث / ايــة مـحـمـد شـافـعـى عـلـى
مشرف / ابراهيم فهمى ابراهيم ميخائيل
مشرف / سامية سعيد العزب
تاريخ النشر
2018.
عدد الصفحات
140 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/2018
مكان الإجازة
جامعة عين شمس - كلية البنات - الرياضيات
الفهرس
Only 14 pages are availabe for public view

Abstract

The linear, the third order nonlinear optical absorption and the third harmonic generation susceptibility have been investigated by using the density matrix technique. The confinement potential has been taken to be a combination of a parabolic and inverse squared part. The study is distinct from previous studies by including the effect of a central or off-central hydrogenic impurity located in different positions. In the absence of impurity exact analytical solutions in terms of the associated Laguerre polynomials have been derived. However, in the presence of impurity the resulting Schro ̈dinger equation has been solved by applying the varitional method.
In the case of a two dimensional disk shaped quantum dot in the presence of a magnetic field the linear and nonlinear optical absorption coefficients have been calculated. The presence of an impurity causes a huge increase in the square of the main transition matrix |M_21 |^2 and in the absorption coefficients.
In the case of semi-parabolic and semi-inverse squared quantum well the third harmonic generation (THG) has been investigated. Its imaginary part has also been displayed. This part yields valuable information concerring the third order absorption coefficient.

i
The results obtained in both cases have been compared with those obtained in the absence of impurity for each case.
The main results of chapter three have been published in
I.F.I.Mikhail, A.M.Shafee, Physica B 507 (2017) 142.
Also, the main results of chapter four have been prepared for publication and will be submitted to an international specialized journal in the near future.