Capacitance calculation of infinite networks using lattice greens function perfect and perturbed triangular lattices
Other Title(s)
حساب المواسعات للشبكات النهائية باستخدام دالة غرين الشبيكة في حالة الشبيكات المثلثية المثالية و المشوبه
Dissertant
Abu Nawas, Abd al-Muizz Muhammad Musa
Thesis advisor
Hijjawi, Raid Shakir Abd al-Karim
Comitee Members
Jarabah, Galla Abd Rabbih
al-Mayitah, Amal Farhan
Nawafilah, Khalid Isa
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2014
English Abstract
-The capacitance of an infinite triangular network of identical capacitors is investigated within the framework of the lattice Green's function and perturbed lattice.
Two perturbation are considered: the broken bond ( missing bond) capacitance, and the two broken bonds ( Two missing bonds) capacitance.
A connection is made between the capacitance and the lattice Green's function of the perturbed network.
The lattice Green's function (LGF).
The capacitance of the perturbed lattice are expressed in terms of perfect lattice by solving Dyson's equation.
The capacitance between two adjacent nodes is calculated by corresponding equations and some recurrence formulae.
For an infinite triangular lattice, we used an expression for the capacitance in terms of lattice Green's Function at the origin, known as rational number, and some recurrence formulae.
Throughout this work we found that the effective capacitance between any two nodes in a finite lattice (perfect and perturbed) is smaller than that between them in the corresponding infinite lattice.
Also, we found that the effective capacitance of the perturbed lattice in the case, one broken bond capacitance and two broken bonds capacitance, are smaller than that of the perfect lattice.
Finally the simulated values of the effective capacitance are measured by the CIRCUIT MAKER found in good agreement with those calculated, but the closer to perturbed site was capacitance obtained practically away from the capacitance values calculated theoretically due to the effect of perturbed.
Main Subjects
Topics
No. of Pages
53
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Derivation of lattice greens function and the capacitance of the perfect lattice and the capacitance of the perturbed lattice.
Chapter Three : Calculations.
Chapter Four : Discussion and conclusion.
References.
American Psychological Association (APA)
Abu Nawas, Abd al-Muizz Muhammad Musa. (2014). Capacitance calculation of infinite networks using lattice greens function perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-556654
Modern Language Association (MLA)
Abu Nawas, Abd al-Muizz Muhammad Musa. Capacitance calculation of infinite networks using lattice greens function perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University. (2014).
https://search.emarefa.net/detail/BIM-556654
American Medical Association (AMA)
Abu Nawas, Abd al-Muizz Muhammad Musa. (2014). Capacitance calculation of infinite networks using lattice greens function perfect and perturbed triangular lattices. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-556654
Language
English
Data Type
Arab Theses
Record ID
BIM-556654
