Geometrical Optics (02_XCOPT)

• Coefficient : 1.5
• Hourly Volume: 40h (including 18h 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] : At the end of the course, students must state the conditions of validity of geometric optics and calculate the characteristic parameters of a light wave (wavelength, frequency , speed, energy), as well as explain the distribution of electromagnetic waves in the spectral domain.

• AAv2 [heures: 9.5, B2, B3] : At the end of the course, students are able to characterize the angular conditions of reflection on and refraction (Snell-Descartes law) through a diopter and to distinguish the regimes guiding and non-guiding in optical fibers (total reflection condition).

• AAv3 [heures: 3, B2, B3] : At the end of the course, students are able to determine the refractive index of a material by measuring the refraction of a light ray in this material.

• AAv4 [heures: 14, B2, B3] : At the end of the course, students are able to construct images produced by simple optical instruments (plane and spherical diopters, plane and spherical mirrors, lenses thin) and to determine the nature (real or virtual) of the foci of such optical instruments, as well as the nature of the object and the image.

• AAv5 [heures: 9.5, B2, B3, C1] : At the end of the course, students will be able to characterize by calculation (positions of an object and its image, magnification or magnification, resolution precision, etc.) the formation of images by complex optical instruments (eye, telescope, microscope, 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