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Geometrical Optics (02_XCOPT)

  • Coefficient : 1.5
  • Hourly Volume: 40.0h (including 18.0h supervised)
    CTD : 18h supervised
    Out-of-schedule personal work : 22h

AATs Lists

Description

  1. Historical Introduction and Fundamentals
    • Nature of light
    • Electromagnetic spectrum
  2. Hypotheses of geometric optics and the laws of Snell Descartes
    • Principles of Huygens and Fermat
    • Snell-Descartes laws
  3. Concepts of optical system, objects and images
    • Remarkable elements of a centered optical system
  4. Paraxial Gauss approximation
  5. Image formation using simple optical systems
    • Plane and spherical diopters
    • Plane and spherical mirrors
    • Thin lenses
  6. Some examples of complex optical systems
    • eye, telescope, microscope, photographic camera, ...

Learning Outcomes AAv (AAv)

  • AAv1 [heures: 4, B2, B3] : At the end of the course, students must state the conditions for the validity of geometric optics, state the angular conditions for reflection and refraction through a diopter, calculate and comment on the characteristic parameters of a light wave (wavelength, frequency, speed, energy, spectral range).

  • AAv2 [heures: 20, B2, B3, C1] : At the end of the course, students will be able to determine the position and size of an object or image from a centered optical system based on conjugate relationships (diopter or mirror - plane or spherical, lenses or lens systems), graphically determine the position and size of an object or image from a centered optical system, graphically or numerically determine the position and size of an object or image from an optical instrument (microscope, telescope, camera, etc.).

Assessment methods

1 long test and several short tests 

Key Words

Image formation, propagation, reflection and refraction of light

Prerequisites

Basic notions of geometry, trigonometry and linear algebra

Resources

  • J.-P. Pérez, Optique { Fondements et applications, 7eme ed., Dunod, 2004
  • G. Bruhat, Optique, 6eme ed., Dunod, 2005
  • M. Born & E. Wolf, Principles of Optics, 7th ed., Cambridge University Press, 1999.
  • Handouts