Development of MATLAB programs for transfer matrices

In fields such as engineering, physics, and science, there are many matrices and complex number operations used in research and projects. Applying these calculations, engineers or researchers can either perform theoretical calculations prior to experimentation and then appropriately build structures...

Full description

Bibliographic Details
Main Author: Wang, Liedong
Other Authors: Tan Eng Leong
Format: Thesis-Master by Coursework
Language:English
Published: Nanyang Technological University 2022
Subjects:
Online Access:https://hdl.handle.net/10356/158687
_version_ 1826125460278345728
author Wang, Liedong
author2 Tan Eng Leong
author_facet Tan Eng Leong
Wang, Liedong
author_sort Wang, Liedong
collection NTU
description In fields such as engineering, physics, and science, there are many matrices and complex number operations used in research and projects. Applying these calculations, engineers or researchers can either perform theoretical calculations prior to experimentation and then appropriately build structures to meet their needs, or they can verify the results of the implementation. There are some scientific calculators or programs that can perform simple matrix numerical operations, but it is rare to see complex matrix calculations such as ABCD matrices for cascaded transmission lines, optical constants matrix for multilayer films, Jones matrix for optical devices, and the transfer matrix method for solving 1-D Schrödinger equation. This thesis researched the MATLAB-based program and APP development. Some efficient programs are designed to calculate the above four transfer matrices, and are verified by references and textbooks. In addition, it is interesting to note that the generalities of different transfer matrices. These programs can help students in electronics, optics, and quantum physics to better understand transfer matrices, as well as increase the efficiency of researchers and reduce their workload.
first_indexed 2024-10-01T06:36:41Z
format Thesis-Master by Coursework
id ntu-10356/158687
institution Nanyang Technological University
language English
last_indexed 2024-10-01T06:36:41Z
publishDate 2022
publisher Nanyang Technological University
record_format dspace
spelling ntu-10356/1586872023-07-04T17:46:03Z Development of MATLAB programs for transfer matrices Wang, Liedong Tan Eng Leong School of Electrical and Electronic Engineering EELTan@ntu.edu.sg Engineering::Electrical and electronic engineering In fields such as engineering, physics, and science, there are many matrices and complex number operations used in research and projects. Applying these calculations, engineers or researchers can either perform theoretical calculations prior to experimentation and then appropriately build structures to meet their needs, or they can verify the results of the implementation. There are some scientific calculators or programs that can perform simple matrix numerical operations, but it is rare to see complex matrix calculations such as ABCD matrices for cascaded transmission lines, optical constants matrix for multilayer films, Jones matrix for optical devices, and the transfer matrix method for solving 1-D Schrödinger equation. This thesis researched the MATLAB-based program and APP development. Some efficient programs are designed to calculate the above four transfer matrices, and are verified by references and textbooks. In addition, it is interesting to note that the generalities of different transfer matrices. These programs can help students in electronics, optics, and quantum physics to better understand transfer matrices, as well as increase the efficiency of researchers and reduce their workload. Master of Science (Communications Engineering) 2022-05-30T13:31:04Z 2022-05-30T13:31:04Z 2022 Thesis-Master by Coursework Wang, L. (2022). Development of MATLAB programs for transfer matrices. Master's thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/158687 https://hdl.handle.net/10356/158687 en application/pdf Nanyang Technological University
spellingShingle Engineering::Electrical and electronic engineering
Wang, Liedong
Development of MATLAB programs for transfer matrices
title Development of MATLAB programs for transfer matrices
title_full Development of MATLAB programs for transfer matrices
title_fullStr Development of MATLAB programs for transfer matrices
title_full_unstemmed Development of MATLAB programs for transfer matrices
title_short Development of MATLAB programs for transfer matrices
title_sort development of matlab programs for transfer matrices
topic Engineering::Electrical and electronic engineering
url https://hdl.handle.net/10356/158687
work_keys_str_mv AT wangliedong developmentofmatlabprogramsfortransfermatrices