Optical Physics Course

Lesson 1 • Geometric Optics Fundamentals

Introduces ray optics, reflection, and refraction laws governing light at interfaces. Provides tools for analyzing mirrors, prisms, and basic lens systems.

Lesson 2 • Optical Materials and Refractive Index

Examines how material composition determines refractive index and light propagation speed. Connects material properties to practical lens and fiber design.

Lesson 3 • Photometric and Radiometric Quantities

Distinguishes radiometric power-based measures from photometric luminous measures. Equips students to specify and evaluate optical system performance.

Lesson 4 • Nature of Electromagnetic Radiation

Covers the electromagnetic spectrum, frequency-wavelength relationships, and photon energy. Anchors the course by defining light as both wave and particle.

Lesson 1 • Multiple-Beam Interference

Extends two-beam analysis to multiple reflections in etalons and thin-film stacks. Explains narrow linewidth transmission and high-reflectance mirror design.

Lesson 2 • Two-Beam Interference

Derives fringe patterns from double-slit and thin-film configurations. Connects path difference to constructive and destructive interference conditions.

Lesson 3 • Superposition and Coherence

Analyzes how two or more waves combine and defines temporal and spatial coherence. Coherence length and time are linked to source bandwidth.

Lesson 4 • Interferometer Configurations

Examines Michelson, Mach-Zehnder, and Fabry-Perot interferometers and their operating principles. Prepares students for precision measurement and spectroscopy applications.

Lesson 1 • Fraunhofer Diffraction Patterns

Calculates far-field intensity distributions for slits, rectangles, and circular apertures. Connects aperture shape to diffraction pattern symmetry and resolution.

Lesson 2 • Fourier Transform Optics

Frames lens action as a Fourier transform and introduces the spatial frequency domain. Provides the basis for spatial filtering and optical image processing.

Lesson 3 • Huygens-Fresnel Diffraction Principle

Derives the Huygens-Fresnel integral and distinguishes near-field from far-field regimes. Establishes the mathematical foundation for all diffraction calculations.

Lesson 4 • Spatial Filtering and Holography

Applies Fourier optics to low-pass, high-pass, and matched filtering, then extends to holographic recording. Demonstrates coherent image reconstruction and wavefront storage.

Lesson 1 • Laser Output Characteristics

Quantifies beam divergence, M² beam quality factor, linewidth, and noise properties. Provides metrics for comparing and specifying laser sources.

Lesson 2 • Laser Gain Media and Types

Surveys solid-state, gas, semiconductor, and fiber laser gain media and their spectral properties. Enables informed source selection based on wavelength, power, and coherence needs.

Lesson 3 • Pulsed Laser Techniques

Covers Q-switching, mode-locking, and cavity dumping for generating short pulses. Prepares students for ultrafast and high-peak-power laser applications.

Lesson 4 • Stimulated Emission and Population Inversion

Derives Einstein A and B coefficients and the conditions for optical gain. Links population inversion to pumping schemes and gain threshold.

Lesson 1 • Focusing and Collimation of Beams

Applies ABCD formalism to compute focused spot size and depth of focus. Guides design of tight-focusing objectives and long-range collimated beams.

Lesson 2 • Gaussian Beam Fundamentals

Defines beam waist, Rayleigh range, and wavefront curvature for the fundamental TEM₀₀ mode. Establishes the spatial profile used throughout beam propagation analysis.

Lesson 3 • ABCD Ray Transfer Matrix Method

Introduces the 2×2 ray matrix for free space, lenses, and interfaces, then extends to Gaussian beams via the complex beam parameter. Enables cascaded system analysis.

Lesson 4 • Higher-Order Beam Modes

Extends Gaussian analysis to Hermite-Gaussian and Laguerre-Gaussian modes and their orbital angular momentum. Connects mode structure to beam shaping and trapping applications.

Lesson 1 • Nonlinear Polarization and Susceptibility

Expands the dielectric polarization in a power series of field amplitude and defines χ⁽²⁾ and χ⁽³⁾ tensors. Establishes the theoretical basis for all nonlinear optical processes.

Lesson 2 • Second-Order Frequency Conversion

Derives phase-matching conditions for second-harmonic generation, sum- and difference-frequency generation. Enables design of wavelength converters and optical parametric oscillators.

Lesson 3 • Third-Order Nonlinear Effects

Analyzes self-phase modulation, cross-phase modulation, and four-wave mixing arising from χ⁽³⁾. Connects these effects to pulse broadening and wavelength conversion in fibers.

Lesson 4 • Nonlinear Optical Devices

Surveys electro-optic modulators, optical limiters, and all-optical switches based on nonlinear effects. Bridges nonlinear theory to practical photonic device design.

Lesson 1 • Fiber Couplers and Splitters

Analyzes evanescent coupling in fused-fiber and planar directional couplers and wavelength-division multiplexing splitters. Provides design rules for power splitting and wavelength routing.

Lesson 2 • Integrated Photonic Waveguides

Extends waveguide theory to silicon, silica, and III-V planar platforms for photonic integrated circuits. Covers waveguide loss, bending radius, and coupling to fiber.

Lesson 3 • Fiber Types and Fabrication

Compares step-index, graded-index, and photonic crystal fibers in terms of dispersion and loss. Covers preform fabrication and drawing processes relevant to fiber specification.

Lesson 4 • Waveguide Theory and Modes

Derives guided modes in slab and cylindrical waveguides from Maxwell's equations with boundary conditions. Establishes the modal framework for fiber and integrated optic analysis.

Lesson 1 • Imaging System Design

Applies paraxial optics and aberration budgets to design microscopes, telescopes, and camera objectives. Covers field of view, magnification, and depth of field trade-offs.

Lesson 2 • Aberration Theory and Correction

Introduces Seidel aberrations, Zernike polynomial representation, and correction strategies using lens combinations. Connects aberration analysis to image quality metrics.

Lesson 3 • Optical Testing and Metrology

Covers interferometric wavefront testing, MTF measurement, and alignment procedures for assembled systems. Provides practical skills for verifying optical performance against specifications.

Lesson 4 • Optical System Metrics

Defines modulation transfer function, point spread function, and Strehl ratio as image quality measures. Enables quantitative comparison of competing optical designs.