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Syllabus ( ELEC 716 )


   Basic information
Course title: Special Problems Of Diffraction Theory
Course code: ELEC 716
Lecturer: Prof. Dr. Ali ALKUMRU
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
Language of instruction: Turkish
Mode of delivery: Face to face
Pre- and co-requisites: None
Professional practice: No
Purpose of the course: To give the basic methods and concepts about the scattering of the electromagnetic waves from different geometrical discontinuities.

   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Apply effectively the steepest descent path method and obtain the asymptotic uniform expression of the field.

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Electronics Engineering
    2. Formulate and solve advanced engineering problems
    3. Manipulate knowledge and cooperate with multi-disciplines
    4. Acquire scientific knowledge
    5. Design and conduct research projects independently
    6. Work effectively in multi-disciplinary research teams
    7. Develop an awareness of continuous learning in relation with modern technology
    8. Find out new methods to improve his/her knowledge
    9. Effectively express his/her research ideas and findings both orally and in writing
    10. Defend research outcomes at seminars and conferences
    11. Write progress reports clearly on the basis of published documents, thesis, etc
    12. Demonstrate professional and ethical responsibility

    Method of assessment

    1. Written exam
    2. Homework assignment
  2. Solve the Wiener-Hopf problem in a scalar or vectorial form.

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Electronics Engineering
    2. Formulate and solve advanced engineering problems
    3. Manipulate knowledge and cooperate with multi-disciplines
    4. Acquire scientific knowledge
    5. Design and conduct research projects independently
    6. Work effectively in multi-disciplinary research teams
    7. Develop an awareness of continuous learning in relation with modern technology
    8. Find out new methods to improve his/her knowledge
    9. Effectively express his/her research ideas and findings both orally and in writing
    10. Defend research outcomes at seminars and conferences
    11. Write progress reports clearly on the basis of published documents, thesis, etc
    12. Demonstrate professional and ethical responsibility

    Method of assessment

    1. Written exam
    2. Homework assignment
  3. Investigate the scattering of electromagnetic waves by the discontinuities such as an ifinitely long cylinder, half-plane, sphere and wedge.

    Contribution to Program Outcomes

    1. Define and manipulate advanced concepts of Electronics Engineering
    2. Formulate and solve advanced engineering problems
    3. Manipulate knowledge and cooperate with multi-disciplines
    4. Acquire scientific knowledge
    5. Design and conduct research projects independently
    6. Work effectively in multi-disciplinary research teams
    7. Develop an awareness of continuous learning in relation with modern technology
    8. Find out new methods to improve his/her knowledge
    9. Effectively express his/her research ideas and findings both orally and in writing
    10. Defend research outcomes at seminars and conferences
    11. Write progress reports clearly on the basis of published documents, thesis, etc
    12. Demonstrate professional and ethical responsibility

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Kirschoff-Helmholtz representation and radiation condition, Principle of equivalence.
Week 2: Generating sources and waves: Plane waves, spherical waves, cylindrical waves, toroidal waves, Gaussian beams and imaginary source concept, solution of some problems related to the subject.
Week 3: cylindrical functions: Bessel equation and its basic properties, The problem of the scattering of a linear polarized plane wave by an infinitely long cylinder.
Week 4: Low frequency asymptotic expressions: Far field expression, electrical surface current excited on a perfectly conducting cylinder, scattering coefficient
Week 5: High frequecy asymptotic expressions (Watson transformation): Total field in the shadow region, scattered field in the illuminated region, solution of some problems related to the subject.
Week 6: Half-plane problem in an homogeneous space: Scattering of TE and TM polarized plane waves by a perfectly conducting half-plane.
Week 7: Asymptotic analysis of the fields in the shadow and illuminated regions via steepest descent path method (Saddle point technique).
Week 8: Uniform asymptotic expression of the diffracted field, solution of some problems related to the subject.
Midterm exam
Week 9: Spherical functions: Fundamentals of the Legendre and associated Legendre functions or polynoms
Week 10: Scattering problem of a linear polarized plane wave by a perfectly conducting sphere: Rayleigh and Mie scatterings.
Week 11: Problem session for the chapter of the scattering from a sphere.
Week 12: Wedge structures, Kantorovich-Lebedev transformation and the problem of a line source diffraction by a perfectly conducting wedge.
Week 13: Analysis of the field: Incident, reflected and diffracted field expressions in different regions.
Week 14: Problem session for the chapter about the line source diffraction by a wedge
Week 15*: General review.
Week 16*: Final exam
Textbooks and materials: Elctromagnetism (D.S. Jones) Advanced Electromagnetics Engineering (C. Balanis) Electromagnetic Theory (Stratton) Kırınım Teorisi (Mithat İdemen),Electromagnetic Wave Theory (J.A. Kong), Electromagnetic Wave Propagation, Radiation and Scattering (A. Ishimaru)
Recommended readings: Elctromagnetism (D.S. Jones) Advanced Electromagnetics Engineering (C. Balanis) Electromagnetic Theory (Stratton) Kırınım Teorisi (Mithat İdemen),Electromagnetic Wave Theory (J.A. Kong), Electromagnetic Wave Propagation, Radiation and Scattering (A. Ishimaru)
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 8 30
Other in-term studies: 0
Project: 0
Homework: 5,11 20
Quiz: 0
Final exam: 16 50
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 4 14
Practice, Recitation: 0 0
Homework: 15 4
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 10 1
Mid-term: 1 1
Personal studies for final exam: 15 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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