Lectures related to Gaussian Beams: Theory and Properties

Explores optical wave propagation, total internal reflection, and Gaussian beams.

Beam Optics: Introduction and Applications

Covers beam optics, Gaussian beams, and wavefront curvature in various applications.

Minimal Surfaces and Discrete Differential Geometry

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

Geometrical Optics: Thin Lens and Optical Devices

Explores making images with thin lenses, optical devices, beam divergence, and diffraction.

Curvature and Inflection Points

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Curvature and Osculating Circle

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Linear Shell Theory: Equilibrium Equations

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Geodesic Curves: Minimizing Distance and Constant Speed

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Hyperbolic Geometry

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Differential Geometry: Parametric Curves & Surfaces

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Helical Curves: Theory and Applications

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Paraboloidal Waves and Gaussian Beams

Covers paraboloidal waves, Gaussian beams, intensity, size, and laser pulse applications.

Weingarten Application of Regular Surfaces

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Introduction to Optics: Basics and Applications

Introduces the fundamental concepts of optics, covering quantum optics, wavy optics, and electromagnetic optics, as well as the principles of reflection, refraction, and image formation.

Ray Optics: EM Wave Optics

Explores radiometry, photometry, laser power distribution, and light behavior in different media.

Gothic Surfaces: Curvature, Development, and Stereotomy

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Gaussian Curvature in Plates

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Introduction to Structural Mechanics

Explores beam bending, stiffness, and curvature in mechanical systems using OCR-extracted slides from EPFL's Spring 2021 session.

Principles of Lasers: Optical Tweezers

Explores the principles of lasers, including lasing transitions and optical tweezers, with applications in various fields.

Beams: Forces, Stresses, and Deformations

Analyzes beams, forces, stresses, deformations, curvature, deflection, and rigidity.