2.71 Optics (Spring 2009, MIT OCW): Lecture 11 - The Hamiltonian Formulation; Introduction to Waves

2.71 Optics

2.71 Optics (Spring 2009, MIT OCW). Instructors: Prof. George Barbastathis, Prof. Colin Sheppard, and Dr. Se Baek Oh. This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. (from ocw.mit.edu)

Lecture 11 - The Hamiltonian Formulation; Introduction to Waves

Instructors: Prof. George Barbastathis and Prof. Colin Sheppard. Hamiltonian formulation of ray tracing; analogies between Hamiltonian optics and Hamiltonian mechanics; introduction to waves.

Go to the Course Home or watch other lectures:

Lecture 01 - Course Organization; Introduction to Optics

Lecture 02 - Reflection and Refraction; Prisms, Waveguides, and Dispersion

Lecture 03 - Focusing, Imaging, and the Paraxial Approximation

Lecture 04 - Sign Conventions; Thin Lenses; Real and Virtual Images

Lecture 05 - Thick Lenses; the Composite Lens; the Eye

Lecture 06 - Terms: Apertures, Stops, Pupils, and Windows; Single-lens Camera

Lecture 07 - Basics of Mirrors, Magnifiers, and Microscopes

Lecture 08 - Telescopes; Aberrations: Chromatic, Spherical, and Coma

Lecture 09 - More Aberrations; Optical Design; GRadient INdex (GRIN)

Lecture 10

Lecture 11 - The Hamiltonian Formulation; Introduction to Waves