The number of undergraduate students, 2014-15 school year.
Electromagnetic waves, polarizations, and applications to photonic and electrooptical devices, metallic and optical waveguides.
To introduce electromagnetic phenomena in different isotropic and anisotropic media and waveguides.
S.L.Chuang, Physics of Photonic Devices, second edition, Wiley, New York, 2009.
B. Saleh and M.C. Teich, Fundamentals of Photonics, 2nd ed., Wiley, 2007.
The goals of this course are to teach advanced concepts in electromagnetics including electromagnetic waves, polarizations, applications to electro-optical devices, and metallic and optical waveguides.
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)
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)
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 (k-surfaces) and polarizations for ordinary and extraordinary waves in uniaxial media. (a)
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)
16. Find the guidance condition and general solutions for the modes in surface Plasmon waveguides. (a)
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:
19. Calculate the numerical aperture and understand various optical fiber structures including single-mode, multiple-mode, and graded-index fibers. (a)
20. Understand mode classification in step-index 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 step-index 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)
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)