ECE 452
Electromagnetic Fields
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Displaying course information from Fall 2012.
Section  Type  Times  Days  Location  Instructor 

N  DIS  0930  1050  T R  170 Everitt Lab  Andreas Cangellaris 
Web Page  http://courses.engr.illinois.edu/ece452 

Official Description  Plane waves at oblique incidence; wave polarization; anisotropic media; radiation; space communications; waveguides. Course Information: Prerequisite: ECE 350. 
Subject Area  Electromagnetics, Optics and Remote Sensing 
Course Prerequisites  Credit in ECE 350 
Course Directors 
Andreas C Cangellaris

Detailed Description and Outline 
To introduce electromagnetic phenomena in different isotropic and anisotropic media and waveguides. Topics:

Computer Usage 
Students are encouraged to solve some of the homework problems using computers. 
Topical Prerequisities 

Texts 
S.L.Chuang, Physics of Photonic Devices, second edition, Wiley, New York, 2009. 
ABET Category 
Engineering Science: 2 credits or 67% Engineering Design: 1 credit or 33% 
Course Goals 
The goals of this course are to teach advanced concepts in electromagnetics including electromagnetic waves, polarizations, applications to electrooptical devices, and metallic and optical waveguides. 
Instructional Objectives 
A. By the time of Exam I (after 10 lectures, 80 minutes per lecture), the students should be able to do the following: 1. Obtain general solutions to Maxwell's equations given charge and current densities. (a) 2. Obtain general plane wave solutions to Maxwell’s equations in sourcefree homogenous isotropic and anisotropic media. (a, e, m) 3. Derive Poynting's theorem for power conservation in electromagnetic systems. (a) 4. Formulate and calculate plane wave reflection coefficients from a planar boundary between two dielectric media for TE and TM polarizations. Check power conservation for the reflected and transmitted powers. (a, e) 5. Calculate the Brewster angle and the critical angle for plane wave reflection from a dielectric surface. (a) 6. Derive the propagationmatrix for a multilayered media. Find the reflection and transmission coefficients for a multilayered medium. (a, b, e) 7. Obtain general solutions for the electromagnetic field including its polarization in uniaxial media. Obtain the index ellipsoid of a uniaxial medium. (a) 8. Derive the dispersion relations (ksurfaces) and polarizations for ordinary and extraordinary waves in uniaxial media. (a) 9. Apply items 7 and 8 to optical components including polaroids and quarterwave plates. (a,b) B. By the time of Exam II (after 20 lectures, 80 minutes per lecture), the students should be able to do all of the items listed under A, plus the following: 10. Find the electromagnetic modes and guidance conditions in metallic waveguides. (a) 11. Find the analytical expressions for the electromagnetic fields and guidance conditions in symmetric dielectric waveguides for TE modes. (a) 12. Calculate the propagation constant and effective index, optical confinement factor for a given guided optical mode in a dielectric waveguide. (a) 13. Do the same as items 11 and 12 above for the TM modes. (a) 14. Find the cutoff conditions, cutoff frequency and general solutions for TE and TM modes in asymmetric dielectric waveguides. (a) 15. Use the ray optics approach to find the guidance conditions in a uniform twodimensional metallic, dielectric and hybrid (metallic/dielectric) waveguides. (a,e) 16. Find the guidance condition and general solutions for the modes in surface Plasmon waveguides. (a) 17. Apply coupledmode theory to calculate power exchange in coupled optical waveguides. (a, e, m) C. By the time of Final Exam (after 27 lectures, 80 minutes per lecture), the students should be able to do all of the items listed under A and B, plus the following: 18. Design and analyze optical ring resonators, optical couplers, and adddrop filters. (a, c, e, m) 19. Calculate the numerical aperture and understand various optical fiber structures including singlemode, multiplemode, and gradedindex fibers. (a) 20. Understand mode classification in stepindex optical fibers, the development of the pertinent characteristic equations, and their application for the calculation of number of propagating modes and associated propagation constants. (a, b, e, m) 21. Understand LP modes in stepindex optical fibers, the development of the pertinent characteristic equations, and their application for the calculation of number of propagating modes and associated propagation constants. (a, b, e, m) 22. Understand the concepts of group velocity and dispersion (material, modal, waveguide) in waveguides. (a) 23. Calculate dispersion and attenuation in optical waveguides. (a) 24. Understand the sourcetofiber and sourcetowaveguide power launching. (a, e, m) 25. Be versed on the major scientific discoveries and technical advances that led to today’s state of the art in fiber technology and integrated optics, and their impact on everyday life. (g,h,j) 26. Be interested in and comfortable with applying the concepts and mathematical tools they learned in this course to advance their learning and understanding of optoelectronic devices and systems. (i,j) 