Introduction to Linear and Nonlinear Optical Waveguides

Light is the backbone of modern global communication, but understanding how it behaves inside microscopic channels requires a solid grasp of waveguide physics. This course guides you through the core principles governing both linear and nonlinear optical propagation. You will transition from basic electromagnetic theory to analyzing complex light-matter interactions in optical fibers and modern integrated photonic structures. By reading through detailed derivations and conceptual breakdowns, you will build the foundational intuition needed to work with modern optical technologies. What you'll learn: Understand the fundamental electromagnetic equations governing light propagation in step-index and graded-index fibers; Analyze wave propagation modes, dispersion, and attenuation in linear optical waveguides; Explore nonlinear optical phenomena, including self-phase modulation and soliton propagation; Study modern silicon photonics waveguide designs and basic numerical modeling concepts; Apply theoretical waveguide principles to practical fiber-optic communication scenarios through written problem-solving. The course begins with essential electromagnetic foundations and basic wave equations before progressing to guided modes, fiber geometry, and advanced nonlinear optical effects. You will explore these complex topics step-by-step through clear written explanations and mathematical walkthroughs. Designed for physics students, telecommunication engineers, and tech enthusiasts looking for an accessible entry point into photonics, this course requires only basic calculus and electromagnetism. Begin your journey into the physics of guided light today.