## PHY 437: Non-linear Optics

3 credits | Prerequisites: PHY 103, PHY 302, PHY 307, MAT 203, MAT 225

### Course rationale

This is one of the courses offered by the university which is mandatory for students who wish to major in Physics. The course forms a one-year standard course in Non-Linear Optics. Prerequisites for this course are PHY 103, PHY 302, PHY 307 and MAT 203, MAT 225. It is highly recommended that the students must have a fair amount of background in vector analysis, EM-wave theory, atomic and molecular physics, basic laser physics, and solid-state theory. Especially, knowledge of Calculus of Several Variables will be required sometimes

### Course content

The Non-linear Optical Susceptibility: Introduction to Non-linear Optics; Description of non-linear optical

interactions; Formal definition of non-linear susceptibility; Non-linear susceptibility of a classical harmonic oscillator. Wave-Equation Description of Non-linear Optical Interactions: The wave equation for non-linear optical media; the coupled wave-equations for sum-frequency generation; The Manley-Rowe relations; Sum frequency generation; Difference-frequency generation and parametric amplification; Second-harmonic generation; Phase-matching considerations. Intensity Dependent Refractive Index: Description of the intensity-dependent refractive index; Non-linearities due to molecular orientation. Process Resulting from the Intensity Dependent Refractive Index: Optical phase conjugation; Self-focusing of light; The Electrooptic and Photorefractive Effects: Optical biostability; Two-beam coupling; Pulse propagation and optical solitons. The Electro-optic and Photo-refractive Effects: Introduction to the electro-optic effect; Linear electro-optic effect.

### Course objectives

- Familiarize and demonstrate a detailed physical and mathematical understanding of a variety of systems and processes in a range of advanced topics in physics
- Demonstrate an understanding of the close relationship between scientific research and the development of new knowledge in a global context.
- Demonstrate specialized analytical skills and techniques necessary to carry out advanced calculations in a range of advanced topics in physics.
- Identify and solve new problems in a range of advanced topics in physics.
- Identify and be able to formulate a physically reasonable and complicated problem in nonlinear optics and provide an extended solution to the same

### References

- Non-linear optics: Boyd; R.W.: Academic Press: 3rd edition.
- The Elements of Non-linear Optics: Butcher; P.N. and Cotter; D.: Cambridge University Press:
- The Principles of Non-linear Optics: Shen; Y.R.: Wiley-Interscience: 1st edition.
- Non-linear Optics: Newell; A.C. and Moloney; J.V.: Addison Wesley Publishing Co: 2nd edition.
- Modern Optics: Guenther; R.: W. H. Freeman and Company: 3rd edition.
- Non-linear Optics: Bloembergen; N.: North-Holland Publishing Co: 2nd edition.
- An Introduction to Non-linear Optics: Baldwin; G.C.: Springer: 2nd edition.