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Information
| Unit | INSTITUTE OF NATURAL AND APPLIED SCIENCES |
| PHYSICS (MASTER) (WITH THESIS) | |
| Code | FK729 |
| Name | Numerical Methods in Electromagnetic Theory I |
| Term | 2018-2019 Academic Year |
| Term | Fall |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. FARUK KARADAĞ |
| Course Instructor |
The current term course schedule has not been prepared yet.
|
Course Goal / Objective
Implement a number of well known numerical methods in solving practical EM problems. Recognize main challenges encountered in the implementation of different numerical methods. Test and validate the output of a numerical method used in EM problems.
Course Content
A. Analytical methods (exact solutions) (1) separation of variables (2) series expansion (3) conformal mapping (4) integral solutions, e.g., Laplace and Fourier transforms (5) perturbation methods B. Numerical methods (approximate solutions) (1) finite difference method
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Use the analytical methods for solving EM problems. |
| LO02 | Implement a number of well known numerical methods in solving practical EM problems. |
| LO03 | Recognize main challenges encountered in the implementation of different numerical methods. |
| LO04 | Test and validate the output of a numerical method used in EM problems. |
| LO05 | Determine the which numerical methods solve the EM problem. |
| LO06 | Combine existing numerical methods to arrive at a new hybrid technique. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has sufficient infrastructure in various subjects of Physics. | |
| PLO02 | - | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | |
| PLO03 | - | Interpret observational and experimental results. | |
| PLO04 | - | Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. | |
| PLO05 | - | Has a knowledge about the logic of scientific research. | |
| PLO06 | - | Report the solution of a physics problem, experimental results or projects in a written format or orally. | |
| PLO07 | - | Chooses and uses the necessary publications, books and methods for a scientific research. | |
| PLO08 | - | Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose. | |
| PLO09 | - | Provides solutions to the problems encountered in the physics field applying research methods. | |
| PLO10 | - | Can perform an independent research. | |
| PLO11 | - | Can perform group work effectively in a research or industrial projects. | |
| PLO12 | - | Becomes conscious of the necessity of lifelong learning. | |
| PLO13 | - | To keep track of the developments in physics and updates himself/herself invariably. | |
| PLO14 | - | Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. | |
| PLO15 | - | Can make an effective written or oral presentation of the results obtained in a study. | |
| PLO16 | - | Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. | |
| PLO17 | - | Has a foundation necessary to work in a research and development organizations. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic concepts, review of Electromagnetic theory | Self-study, exercises | |
| 2 | Classification of EM Problems | Self-study, exercises | |
| 3 | Some Important Theorems | Self-study, exercises | |
| 4 | Analytical Methods, Introduction, Separation of Variables, Separation of Variables in Rectangular Coordinates | Self-study, exercises | |
| 5 | Separation of Variables in Cylindrical Coordinates, Laplaces Equation, Wave Equation, | Self-study, exercises | |
| 6 | Separation of Variables in Spherical Coordinates, Some Useful Orthogonal Functions | Self-study, exercises | |
| 7 | Series Expansion, Poissons Equation in a Cube, Poissons Equation in a Cylinder, Strip Transmission Line, Practical Applications, Scattering by Dielectric Sphere, Scattering Cross Section | Self-study, exercises | |
| 8 | Mid-Term Exam | Mid-Term Exam | |
| 9 | Finite Difference Methods, Finite Difference Schemes, Finite Differencing of Parabolic PDEs | Self-study, exercises | |
| 10 | Finite Differencing of Hyperbolic PDEs, Finite Differencing of Elliptic PDEs , Band Matrix Method, Iterative Methods | Self-study, exercises | |
| 11 | Accuracy and Stability of FD Solutions, Practical Applications I, Guided Structures, Transmission Lines, Waveguides | Self-study, exercises | |
| 12 | Practical Applications II, Wave Scattering (FDTD), Yee's Finite Difference Algorithm, Accuracy and Stability, Lattice Truncation Conditions, Initial Fields | Self-study, exercises | |
| 13 | Programming Aspects, Absorbing Boundary Conditions for FDTD, Finite Differencing for Nonrectangular Systems, Cylindrical Coordinates, Spherical Coordinates | Self-study, exercises | |
| 14 | Numerical Integration, Euler's Rule, Trapezoidal Rule, Simpson's Rule, Newton-Cotes Rules, Gaussian Rules , Multiple Integration | Self-study, exercises | |
| 15 | Concluding Remarks, Problems. | Self-study, exercises | |
| 16 | Term Exams | Term Exams | |
| 17 | Term Exams | Term Exams |