Course Description: Ray optics, matrix formulation, wave effects, interference, Gaussian beams, Fourier optics, diffraction, image formation, aberrations in optical systems, electromagnetic theory of light, polarization and crystal optics, coherence, guided wave and fiber optics, optical elements, photons, quantization of electromagnetic fields, nonlinear optics.

Course Outline by Topical Areas:

History; ray, wave, field, photon theories; Fermat's principle, Snell's law

Maxwell's theory of light; boundary conditions for metals and dielectrics; wave solutions; power flow; dielectric representation

Waves incident upon dielectric surfaces; polarization, reflection, transmission, Brewster's law, total reflection, conductors

Guided waves/fibers; dielectric waveguide; transmission. Theory of polarization; dispersion, wave packets.

Ray optics; refraction/reelection from spherical surface; ray tracing, imaging, magnification; small angle approx and matrix methods; thin lenses, mirrors, principle planes, periodic focusing, resonators; ABCD law

Eikonal and ray optics, radiometry, brightness theorem. Interference: 2 beam and multiple beam. Gratings, F-P interferometer.

Finish interference. Scalar wave equation, Green's function, Kirchoff's integral. Fraunhofer diffraction, examples.

Fresnel diffraction. Fresnel integrals, Cornu spiral, examples; limiting cases, geometric shadow.

Fresnel's zones, zone plates, Gaussian optics; Guassian beam, wave solutions, diffraction, Rayleigh range.

Imaging with Gaussian Beam, ABCD law, focusing, resonators; Fraunhofer diffraction with Fourier transformations.

Holography; coherence theory: longitudinal, transverse, one source, two sources; visibility of fringes, spatial coherence.

Photon counting statistics: Poisson light and thermal light; noise; correlation interferometry

Nonlinear optics; NL effects in optical materials; oscillator model. Wave prop in NL media; 2nd harmonic generation, wave number matching.

3rd order susceptibility, solutions, four-wave mixing, Phase conjugation

Course Requirements:

Homework: Weekly problem sets assigned from the text

Examinations: Midterm and Final

Computer Language: None

Computer Facilities: None

Laboratory: None

Project: None

Notes:

Before registering for Columbia classes, NTU students may contact Columbia Video Network (CVN) by e-mail at cvn@cvn.columbia.edu with any questions. ALL STUDENTS registering for a class should obtain the course syllabus, as

well as download CVN's "Important Information," which includes CVN's Required Procedures, Academic Calendar, etc. available on the CVN website at http://www.cvn.columbia.edu/Registration/Information/information.html at the beginning of the semester. This information is crucial for students to function under CVN guidelines during the course of the semester. It is the responsibility of the student to be familiar with these procedures. Course notes, assignments, and videocassettes will be sent directly to the student's site administrator, and students will be required to adhere to

the course schedule for homework assignments, project due dates, and examinations. All homework assignments, projects, and exams must be sent to CVN by overnight carrier or e-mail, as described in the course syllabus. Additional Columbia requirements and procedures are explained in CVN's "Important Information" section on the web page.

Degree Applicability:

CE[AA]	CH[NA]	CS[AA]	EE[BDE]	EM[E]	ESM[NA]	MAT[E]
MBA[NA]	ME[E]	MES[BE]	MSE[E]	SE[NA]	SY[AA]

Click here for further information on degree applicability.

NTU Semester Credit Hours: 3
Number of Lecture Hours: 28 (75 minute) lectures
Days Class Meets on Campus: NA

Contributing Scholar:   The instructor for this course has not yet been assigned.

Note: Contributing Scholars are responsible for the design, organization, content, and presentation of NTU courses. Online classroom management, student management, and other matters related to academic administration of courses are the responsibility of support "Faculty". Either person is often called "Instructor". To identify and differentiate between these roles, we use the terms "Contributing Scholar" and "Faculty".

Academic/Administrative Contact:  
CVN Administration
Phone: 212-854-6447
Fax: 212-854-2325
info@cvn.columbia.edu


Prerequisites: Electromagnetics.

Textbooks: (Order Materials)

1.	Optics, Klein and Furtak, John Wiley, 2nd edition 2nd edition or latest.