Introduction to waveguide modes, their classification, mathematical modeling and their propagation characteristics, characteristic properties of circular waveguide modes, waveguide coupling and guiding mechanisms.
Introduction to optical waveguide modeling, role of modeling in waveguide design and analysis, overview of modal analysis and dispersion characteristics, numerical methods for waveguide modeling, FDM, FEM, and BPM methods. Advanced modeling techniques, effective index method, rigorous coupled mode theory for waveguide devices and couplers.
Introduction to mode interaction and nonlinear optics, nonlinear susceptibility, second harmonic generation and frequency doubling, third-order nonlinear processes: four-wave mixing, self-phase modulation, and cross-phase modulation, Kerr effect and its influence on mode propagation, pulse propagation in nonlinear media, soliton formation and propagation, supercontinuum generation, pulse compression and shaping using nonlinear effects, overview of nonlinear spectroscopic techniques, coherent anti-Stokes Raman scattering, two-photon absorption and two-photon fluorescence, nonlinear optical imaging techniques