What's New on this Course ?
This course helps students to master the principles and technical materials of a graduate-level Nonlinear Optics. The topics will cover Macroscopic Theory of Optical Susceptibility Tensors, Second-Order Nonlinear Optical Effects, Third-Order Nonlinear Optical Effects, and Time-Resolved Nonlinear Optical Spectroscopies, etc. . The audience is expected to possess a background of Applied Mathematics and Electromagnetism.
Course History:
(1) Last delivery: September 20, 2007-January 20, 2008
Lecture notes have been posted whenever possible. Not all lectures are available for distribution.
Textbook and References
1. Y. R. Shen, “The Principles of Nonlinear Optics”, Wiley-Interscience , 1984.
2. P. N. Butcher & D. Cotter, "The Element of Nonlinear Optics", Cambridge University Press, 1990.
3. Robert Boyd, "Nonlinear Optics", Academic Press, Inc., 1992.
Office Hours
Each Friday: from 3:00 pm to 6:00 pm,
Place: Engineering Hall V, Rm# 218B
1 |
Inroduction ( PDF - 307 kB)
1.1 Historical Background
1.2 Origins of Optical Nonlinearity
1.3 NLO Processes
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2 |
Macroscopic Theory of Optical Susceptibilities  PDF - 183 kB)
2.1 Response Function and Constitutive Relations
2.2 Optical Susceptibility
2.3 Spatial Symmetry of Physical Systems
2.4 Symmetry Properties of Optical Susceptibility
2.5 Resonant Nonlinearity
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3 |
General Description of Wave Propagation in Nonlinear Media ( PDF - 157 kB)
3.1 Wave Propagation in the Linear Regime
3.2 Wave Propagation in a Nonlinear Medium
3.3 Slowly Varying Amplitude Approximation (SVA) and Coupled Wave Equations
3.4 The Relationship between Macroscopic and Local-Field Quantities
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4 |
Electro-Optical and Magneto-Optical Effects ( PDF - 179 kB)
4.1 Linear Optical Effect and its Applications
4.2 Quadratic EO Effect
4.3 Physical Properties of EO Coefficients
4.4 EO Effect in Liquid Crystals
4.5 Electro-Optic Devices
4.6 Magneto-Optical Effect and Faraday Rotator
( Homework Set 1 ---Due: December 3, 2007)
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5 |
Second-Order NLO Effects ( PDF - 245 kB)
5.1 Crystal Optics
5.2 Phase Matching Schemes
5.3 Effective Nonlinearity
5.4 SFG with Boundary Reflection
5.5 SFG in Bulk with Depleted Pump Beams
5.6 Special Cases
5.7 Summaries of Nonlinear Frequency-Conversion Processes and Their Limitations
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6 |
Stimulated Light Scattering ( PDF - 378 kB)
6.1 Diagrammatic Density Matrix Analysis Method
6.2 Stimulated Raman Scattering (SRS)
6.3 Coupled-Wave Description of SRS
6.4 Parametric Coupling of Optical and Material Excitational Waves
6.5 Transient SRS and Measurements of Excitational Relaxation Times
( Homework Set 2 ---241 kB Due: January 15, 2008)
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7 |
Four-Wave Mixing Phenomena ( PDF - 372 kB)
7.1 Third-Order Nonlinear Susceptibilities
7.2 Singly Resonant Cases
7.3 Doubly Resonant Cases
7.4 Triply Resonant Cases
7.5 General Theory of 4WM
7.6 DFWM
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8 |
Four-Wave Mixing Spectroscopies ( PDF - xxx kB)
8.1 CARS, CSRS
8.2 RIKES
8.3 Multiply Resonant FW
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9 |
Nonlinear Time-Resolved Spectroscopies ( PDF - 372 kB)
9.1 Elementary Relaxation Processes
9.2 Time-Resolved Spectroscopy
9.3 Local and Nonlocal Time-Resolved Spectroscopic Techniques
( Homework Set 3 ---Due: December 31, 2007)
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