EECS 730
Theory of Wave Scattering from Rough Surfaces and Random Media


Instructor:

Kamal Sarabandi
Office:                 3228B EECS
Phone:                 936-1575
Office Hours:      Tuesday 3:00 PM - 4:00 PM
                             Wednesday 11:00 AM - 12:00 PM
Email:                  saraband@eecs.umich.edu
 

Prerequisite:              EECS 530 and graduate standing or permission of instructor (3 credits)

Time:                           Tuesdays and Thursdays, 9:00A M - 10:30 AM

Room:                         EECS 3433

GSI:                              Amelia Buerkle

                                       abuerkle@umich.edu

 

Course E-Mail

Instructions:

       

        You will receive course instructions and important messages through our course E-mail group. After the second lecture, the GSI's and the instructor will assume

          that you can be reached through this group address. To subscribe, E-mail to: eecs730-request@eecs.umich.edu with the word 'subscribe' in the subject line.

Course Description:

Advanced topics in theory of microwave and millimeter-wave remote sensing; Dyadic Green's function of layered media, Ewald-Oseen extinction theorem, scattering by periodic surfaces, scattering by random rough surfaces (small perturbation method and Kirchhoff Approach),  analytical scattering models for discrete scatterers (low and high frequency scattering techniques), T-matrix approach, Periodic structures, Radiative transfer theory, low frequency effective permittivity of random media (dielectric mixing formulas), effective permittivity tensor of periodic media, propagation in a sparse random media (effective field approximation), optical theorem, numerical and experimental evaluation of effective permittivity, Analytical wave theory (Born approximation and Strong permittivity fluctuation), Green’s function for tenuous media (Dyson’s equation, Bethe-Salpeter equation).

Text:

L. Tsang, J.A. Kong, and R.T. Shin, Theory of Microwave Remote Sensing, John Wiley & Sons, 1985. (optional)

The instructor will provide typed lecture notes throughout the semester.

 

References:

A. Ishimaru, Wave Propagation and Scattering in Random Media, Vol. 1 and Vol. 2, Academic Press, 1978.

F.T. Ulaby, R.K. Moore, A.K. Fung, Microwave Remote Sensing Vol. 2 and Vol. 3, Artech House, 1986.

A.J. Kong, Electromagnetic  Wave Theory, EMW Publishing, 2000.

          K. Sarabandi, ``Electromagnetic Scattering from Vegetation Canopies,''  Ph.D. Thesis, The University of Michigan, 1989.

Policies:

Homework problems will be assigned every week (3-5 problems). The problems may be long and involve algebraic manipulations.  You are strongly encouraged to do the homework problems to get familiar with the details of not so familiar techniques. You will be asked to implement some of the solutions using computer to get quantitative results necessary for developing intuition.              

Homeworks are due on Tuesdays.

Honor code applies to all homework assignments.

Solutions will be posted on class website a week after.

 

There are no formal quizzes or final. The Homework problems should be regarded as take-home quizzes. Each student is expected to complete a term paper by the end of the semester. The subject of term papers should be proposed by students and approved by the instructor. Each student will give a ten minutes presentation on his/her paper. A typed report is also expected. 

Grade:

Your grade will be based upon:
80% Homeworks + 20% Term paper.

Important Dates:     

Class begins Thursday January 8th

No Class, Tuesday January 13th

Spring Break, February 21st- March 2nd

Last day of class April 21st

Syllabus: Syllabus

Homeworks/Solutions

Homework #l

Due Tuesday, Jan. 27, 2009

   

Homework #2

Due Tuesday, Feb 3, 2009

 

 

Homework #3

Due Tuesday, Feb 12, 2009

   

Homework #4

Due Tuesday, March 3, 2009

   

Homework #5

Due Tuesday, March 10, 2009

   

Homework #6

Due Tuesday, Marcy 17, 2009

   

Homework #7

Due Thursday, March 26, 2009

   
   

Lecture Notes

Review of Fundamental Equations
Dyadic Analysis
Dyadic Green's Function
Dyadic Green Function for Stratified Media
Ewald-Oseen Extinction Theorem
Scattering From Periodic Surfaces
Scattering from Two-dimensional Inhomogeneous Periodic Dielectric Layer above a Stratified Dielectric Medium
Statistics of Scattered Fields From Random Media
Electromagnetic Scattering by Random Rough Surfaces
Scattering of Electromagnetic Waves in Random Media
Greens Function for Tenuous Random Media
Strong Permittivity Fluctuations
Dielectric Mixing Formula
Evaluation of Attenuation Rate For a Layer of Randomly Distributed Particles
Equivalent Dielectric Constant of Periodic Media
Radiative Transfer Theory



 

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