# Capacitance of Concentric Cylinders

In this topic we will calculate the capacitance of a system of concentric cylindrical shells. The next figure presents the geometry of this topic. Two conducting and concentric cylindrical shells, infinitely long, constitute a system that some capacitance, C. Begin by noting that we can only determine the capacitance per unit length, C/L, because the…

# Kinetic and Radiative Energy of a Falling Electron

A charged particle that is accelerating emits radiation. Through the study of electrodynamics we often encounter moving charged particles without considering the issues of radiation. For example, the energy of a collection of charges may be calculated in part by solving for the energy involved in bringing those charges together from infinity. Radiation that they…

# Why Not to Use Aluminum in Your Langmuir Probes

I have made a fair number of Langmuir probes during the time I have been running experiments for my thesis. Some of the plasma facing material is aluminum, which I used because it was easy enough to machine that I could do it myself. The benefit of being able to do this myself is that…

# Electrostatic Potential with Spherical Boundary Conditions

One of the many mathematical techniques that are useful in the study of electrostatics is called the separation of variables method. This topic covers the application of this method to a situation in which the electrostatic potential in a spherically symmetric system is known. In such a system, the potential (potential and electrostatic potential are…

# Magnetic Field from a Cylinder’s Magnetization

It is not intuitively obvious how an object’s magnetization relates to the magnetic field it generates. To develop a better physical picture of this phenomena consider an object with a given magnetization and then solve for the resulting magnetic field, B. A cylinder of radius, R, and length, L, in which R << L (i.e.…

# Frequency Filtering in IDL Using the Butterworth Function

When IDL released version 6.3 they included a function called BUTTERWORTH. This function generates the Butterworth filter function commonly used in frequency filtering of time series data. I have previously used a Butterworth filter by generating my own array. Since it is almost always simpler to use provided functions, I decided to use this new…

# Diary of a Graduate Thesis Experiment

The lengthy diary that follows was originally written in 2007. Diary of a Graduate Thesis Experiment The laboratory in which I am performing my thesis work (LAPD at UCLA) is used by researchers from all over the world. Groups that are using the device for a research project receive an allotted time in which to…

# Example of Langmuir Probe Analysis

Sections Processing the Raw Data Determining Electron Temperature and Plasma Potential Calculating Electron Density An Additional Concern for Temperature Analysis Sample Data for Practice This is a simple example of Langmuir probe analysis and the issues related to it. It is intended to serve as a helpful reminder of the technical details in analyzing the…

# Thesis – Chapter 1: Introduction

Thesis – Table of Contents Introduction 1.1 Motivation Anomalous transport is an area of great interest within the plasma physics research community. The field of magnetically confined thermonuclear fusion may benefit significantly from an improved understanding of this topic. It has already been shown that turbulent fluctuations increase the transport of mass and energy [Horton,…

# Ph.D. Thesis Project: Thermal Waves and Turbulent Structures in Magnetized Plasmas

I completed my Ph.D. thesis in 2009. Copies of it are available in both PDF and HTML format. The PDF is the source for the printed copies that were turned in to the UCLA Library as part of the requirements for completion. The web version omits the front matter but does present every chapter and…