Syllabus ( ELEC 718 )
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Basic information
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| Course title: |
Finite Difference Time Domain |
| Course code: |
ELEC 718 |
| Lecturer: |
Prof. Dr. Serkan Aksoy
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| ECTS credits: |
7.5 |
| GTU credits: |
3 (3+0+0) |
| Year, Semester: |
1/2, Fall and Spring |
| Level of course: |
Second Cycle (Master's) |
| Type of course: |
Area Elective
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| Language of instruction: |
Turkish
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| Mode of delivery: |
Face to face
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| Pre- and co-requisites: |
None |
| Professional practice: |
No |
| Purpose of the course: |
To develop skills for the solution of complex electromagnetic problems by learning the fundamentals of the Finite Difference Time Domain (FDTD) method which is widely used time domain method in electromagnetics. In this concept, the update equations, numerical dispersion and numerical stability concepts of the FDTD method will be taught in details. They can also apply how to sources and absorbing boundary conditions are injected into the FDTD algorithms. The extension of the FDTD method for low frequency and/or dispersion problems will be explained. |
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Learning outcomes
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Upon successful completion of this course, students will be able to:
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Review or comprehend fundamentals of the FDTD based on the numerical differentiation
Contribution to Program Outcomes
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Define and manipulate advanced concepts of Electronics Engineering
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Acquire scientific knowledge
Method of assessment
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Written exam
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Build up a knowledge of the FDTD numerical error analyses based on the numerical dispersion and numerical stability.
Contribution to Program Outcomes
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Define and manipulate advanced concepts of Electronics Engineering
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Formulate and solve advanced engineering problems
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Acquire scientific knowledge
Method of assessment
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Written exam
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Solve open/unbounded electromagnetic problems by FDTD method in content of implementing absorbing boundary conditions (ABCs) of Mur and PML types.
Contribution to Program Outcomes
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Define and manipulate advanced concepts of Electronics Engineering
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Formulate and solve advanced engineering problems
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Acquire scientific knowledge
Method of assessment
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Written exam
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Model fundamental electromagnetic problems such as cavities and waveguides by using the FDTD method.
Contribution to Program Outcomes
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Define and manipulate advanced concepts of Electronics Engineering
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Formulate and solve advanced engineering problems
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Acquire scientific knowledge
Method of assessment
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Homework assignment
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Propose FDTD solution of the low frequency and/or dispersive electromagnetik problems.
Contribution to Program Outcomes
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Define and manipulate advanced concepts of Electronics Engineering
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Formulate and solve advanced engineering problems
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Acquire scientific knowledge
Method of assessment
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Written exam
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Homework assignment
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Contents
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| Week 1: |
Electromagnetic Waves and Maxwells Equations |
| Week 2: |
Finite Difference Method |
| Week 3: |
Numerical Dispersion |
| Week 4: |
Numerical Stability |
| Week 5: |
Finite Difference Time Domain Method for Maxwells Equations |
| Week 6: |
Numerical Dispersion and Stability for FDTD applications of Maxwells Equations |
| Week 7: |
Source Applications |
| Week 8: |
Midterm Examinations |
| Week 9: |
Boundary Conditions |
| Week 10: |
Absorbing Boundary Conditions |
| Week 11: |
Absorbing Boundary Conditions |
| Week 12: |
Absorbing Boundary Conditions |
| Week 13: |
Frequency Dependent FDTD Method |
| Week 14: |
Near Field - Far Field Transformation |
| Week 15*: |
General review |
| Week 16*: |
Final Examination |
| Textbooks and materials: |
• S. Aksoy, FDTD – Lecture Notes, GYTE, 2011. |
| Recommended readings: |
• Taflove A., S.C. Hagness, Computational Electrodynamics: The Finite Difference Time Domain Method, Artech House, 1995, 2000, 2005.
• Sullivan D.M., Electromagnetic Simulation Using the FDTD Method, IEEE Press, 2000.
• Kunz K. S., R.J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics, TF-CRC, 1993.
• Hao Y., R. Mittra, FDTD Modeling of Metamaterials, Artech House, 2008. |
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* Between 15th and 16th weeks is there a free week for students to prepare for final exam.
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Assessment
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| Method of assessment |
Week number |
Weight (%) |
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| Mid-terms: |
8 |
20 |
| Other in-term studies: |
0 |
0 |
| Project: |
0 |
0 |
| Homework: |
2,4,6,8,10,12 |
30 |
| Quiz: |
0 |
0 |
| Final exam: |
16 |
50 |
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Total weight: |
(%) |
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Workload
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| Activity |
Duration (Hours per week) |
Total number of weeks |
Total hours in term |
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| Courses (Face-to-face teaching): |
3 |
14 |
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| Own studies outside class: |
4 |
14 |
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| Practice, Recitation: |
0 |
0 |
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| Homework: |
6 |
10 |
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| Term project: |
0 |
0 |
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| Term project presentation: |
0 |
0 |
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| Quiz: |
0 |
0 |
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| Own study for mid-term exam: |
10 |
1 |
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| Mid-term: |
1 |
1 |
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| Personal studies for final exam: |
20 |
1 |
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| Final exam: |
2 |
1 |
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Total workload: |
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Total ECTS credits: |
* |
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* ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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