PristupačnostIntegral Equations and Method of Moments
Data is displayed for academic year: 2023./2024.
Lecturers
Course Description
Formulation of physical problems via integral equations. Different formulations of integral equations (EFIE, MFIE, CFIE) in electromagnetic applications. Method of Moments (MoM). Applications to wire and microstrip antennas and wave scattering problems. Fast multipole method (FMM), algorithm analysis and applications.
Study Programmes
University graduate
[FER3-HR] Audio Technologies and Electroacoustics - profile
Elective Courses
(2. semester)
[FER3-HR] Communication and Space Technologies - profile
Elective Courses
(2. semester)
[FER3-HR] Computational Modelling in Engineering - profile
Elective Courses
(2. semester)
Elective Courses of the Profile
(2. semester)
[FER3-HR] Computer Engineering - profile
Elective Courses
(2. semester)
[FER3-HR] Computer Science - profile
Elective Courses
(2. semester)
[FER3-HR] Control Systems and Robotics - profile
Elective Courses
(2. semester)
[FER3-HR] Data Science - profile
Elective Courses
(2. semester)
[FER3-HR] Electrical Power Engineering - profile
Elective Courses
(2. semester)
[FER3-HR] Electric Machines, Drives and Automation - profile
Elective Courses
(2. semester)
[FER3-HR] Electronic and Computer Engineering - profile
Elective Courses
(2. semester)
[FER3-HR] Electronics - profile
Elective Courses
(2. semester)
[FER3-HR] Information and Communication Engineering - profile
Elective Courses
(2. semester)
[FER3-HR] Network Science - profile
Elective Courses
(2. semester)
[FER3-HR] Software Engineering and Information Systems - profile
Elective Courses
(2. semester)
Learning Outcomes
- select appropriate numerical method for analysis of antennas or EM scatterers
- describe basic concepts related to integral equations and moment method
- estimate the limitations of the moment method
- estimate numerical difficulties related to implementation of moment method
- apply commercial full-wave simulator based on moment method in analysis of engineering problems
- develop a program for analyzing simple EM problems using finite-difference method
- develop a method of moments based code using numerical libraries
- implement fast multipole method
Forms of Teaching
Lectures
--
Exercises--
Independent assignments--
Week by Week Schedule
- Integral equations in electromagnetics; Method of Moments: formulation of the method
- Method of Moments: selection of basis and test functions; efficient calculation of the moment method matrix elements
- Dyadic Green's functions
- Electric, magnetic and combined field integral equations; mixed-potential integral equation; singularities and non-uniqueness of solution
- Method of Moments: efficient calculation of the moment method matrix elements
- Method of Moments: analysis of periodic structures
- Mode matching method
- Midterm exam
- Applications: analysis of the wire antennas
- Applications: two-dimensional scattering analysis
- Applications: analysis of microstrip antennas
- Applications: analysis of antenna arrays
- The fast multiple method; matrix elements of the fast multiple method; one-level and multi-level fast multipole algorithms
- The fast multiple method; matrix elements of the fast multiple method; one-level and multi-level fast multipole algorithms
- Final exam
Literature
W. C. Gibson (2014.), The Method of Moments in Electromagnetics, Chapman and Hall/CRC
A. F. Peterson, S. L. Ray and R. Mittra (1998.), Computational Methods in Electromagnetics, IEEE press
C.M. Butler, D.R. Wilton and A.W. Glisson (1982.), Numerical Methods in Electromagnetics, Lecture Notes
R.F. Harrington (1993.), Field computation by Moment Method, IEEE Press
J. L.Volakis and K. Sertel (2012.), Integral Equation Methods for Electromagnetics, SciTech Publishing
For students
General
ID 222561
Summer semester
5 ECTS
L2 English Level
L1 e-Learning
45 Lectures
0 Seminar
0 Exercises
13 Laboratory exercises
0 Project laboratory
0 Physical education excercises
Grading System
Excellent
Very Good
Good
Sufficient