Integrated Optics

Part 1 Introduction: history; materials; outline of the book. Part 2 Foundations: Helmholtz equations; dielectric interfaces; geometrical optics. Part 3 Waveguide theory: general remarks; formulations of the eigenvalue problem; power flux in waveguides; dispersion; universal approximation schemes; weakly guiding waveguides; analytical solutions; slab waveguides; separable eigenvalue problems; geometrical optics of the waveguide. Part 4 Beam propagation: fundamental principles; classical BPM; diffraction integrals; improved BPM algorithms; vectorial beam propagation method; bidirectional beam propagation; application of the BPM. Part 5 Mode conversion: Hermite-Gaussian beams; coupling of gaussian beams; gaussian optics; fiber-to-chip coupling by microlenses; optical tapers. Part 6 Codirectional coupling: coupled mode theory; uniform directional couplers; symmetrical couplers; asymmetrical couplers; transfer matrix theory; Machzehnder devices; directional couplers with periodic overlay. Part 7 Contradirectional coupling: phenomenological coupled mode theory; Bragg gratings; contradirectional coupler. Part 8 Planar spectrographs: theory of planar spectrographs; focussing reflection gratings; phased arrays. Appendices: application of photonics; computer aided engineering; component cost modelling; mathematical background.