Content of 2011 Kaobo Optical Comprehensive Examination
It mainly involves the contents of three postgraduate courses, namely, nonlinear optics, guided wave optics and information optics.
(1) Nonlinear optics
1. Dielectric tensor of nonlinear optical crystal, basic equation of light wave in nonlinear medium, nonlinear polarizability.
2. Coupled wave equation of three wave interaction, optical second harmonic, optical sum frequency, difference frequency and parametric process.
3. Third harmonic generation, four wave mixing, optical phase conjugation.
4. Photoinduced refractive index change, optical Kerr effect, beam self focusing, z-scan measurement method and technology of third-order nonlinear polarizability.
5. Stimulated Raman scattering, stimulated Brillouin scattering, two-photon absorption.
6. Physical image of photorefractive effect, photorefractive two wave coupling, photorefractive four wave coupling, photorefractive self pumped and mutually pumped phase conjugation.
7. Electro optical modulation and mode coupling in dielectric waveguides, nonlinear effects in guided waves, propagation of pulsed light in optical fibers.
8. Nonlinear motion of semiconductor carriers, nonlinear transitions between energy levels, saturated absorption in semiconductor quantum wells, and nonlinear effects in composites under the action of optical fields.
(2) Guided wave optics
1. Fresnel formula, Brewster's law and Brewster angle, total reflection phase shift and Goos Hanshing displacement, eikonal equation, ray equation and their applications in studying the guided modes of uniform and non-uniform planar waveguides, the method of solving the guided modes of planar waveguides using electromagnetic field theory and the orthogonality of the modes.
2. Solution of mode eigenequation, cut-off condition and mode eigenequation of three-layer and multi-layer step waveguide, and approximate solution method of graded index waveguide.
3. The Makatiri approximation of the strip dielectric waveguide, and the weighted residual method and iterative moment method for solving the strip dielectric waveguide.
4. The mode coupling equation between waveguides, the method and solution of the same direction coupling and reverse coupling, the working principle of the prism coupler, the mode eigen equation of the prism waveguide coupling system, the grating coupler and the wedge shaped film coupler.
5. Periodic waveguide and its coupling equation, rectangular corrugated periodic waveguide, Bragg reflection filter.
6. Principle of electro-optic modulation and acousto-optic modulation in waveguide, waveguide modulation device formed by electro-optic and acousto-optic effects.
7. Numerical aperture, dispersion and loss of fiber, mode eigen equation and field distribution of weak guide fiber, lp mode, filtering characteristics and applications of fiber grating.
(3) Information optics
1. Definition and physical meaning of basic functions such as step function, symbolic function, rectangular function, trigonometric function, sinc function, Gaussian function, circular function, d function, comb function, etc.