SPFAU26

UE Optical engineering

Unité d'enseignement (UE) de 3 crédits

^En UE enseignée en Anglais UE projet tutoré/mémoire UE mener un projet de recherche avec une démarche scientifique

DESCRIPTION
ORGANISATION
FORMATIONS

Contenu

The students with a basic knowledge of ray optics and optical systems develop a strong understanding of the optical systems. They know the key characteristics that drive their performance and specifications. The learn to recognise the main aberrations that limit their perfomance, and what the levers are to minimize or cancel them, with a mathematical and analytical method. They learn how to diagnose the performance of an existing optical system, and how to desing new systems given specifications.

I. Geometrical Optics (5h)
I. 1 General Optics principles
I. 2 Characteristics of optical systems

II. Chromatic aberrations (2h)
II.1 Primary chromatic aberration
II.2 Achromatic optical systems

III. Geometrical aberrations (9h)
     III.1 Transverse aberration
     III.2 Wavefront aberration
     III.3 Third order aberrations
     III.4 Third order aberrations of a spherical diopter
     III.5 Third order aberration of a thin lens
     III.6 Aberration variations with the pupil position

IV. Wave optics and aberrations (4h)
     IV.1 Diffraction theory
     IV.2 Diffracted image quality criteria
     IV.3 Third order aberrations tolerancing

V. Radiometry (4h)
     V.1 Definition of radiometric quantities
     V.2 Relations between radiometric quantities
     V.3 Radiometric properties of the optical system

Compétences à acquérir

I - The student will be able to determine the field of view and pupil size and position of a given optical system. They will know under which conditions they are considered as stigmatic.

II - They can compute the primary chromatic aberration of an optical system, and design optical elements that make a system achromatic.

III - They can recognize the 3rd order aberrations from their transverse or longitudinal properties, and how they vary with the aperture size, position, and with the position in the field of view. They know how to propagate aberrations through an optical system and to compute the corresponding transverse aberration.

IV - They can quantify the image quality of an optical system accounting for diffraction. They can specify the amplitude of the 3rd order aberration leading to a diffraction limited system.

V - They know the main metric quantifying the radiometry of a scene. They know how these quantities are propagated through an optical system.

Langue(s) d'enseignement

Anglais

Bibliographie

E. Hecht: Optics, Addison-Wesley 2nd ed. 1987

M. Born & E. Wolf: Principles of optics, Pergammon Press, 6th ed. 1980

W.T. Welford: Aberrations of optical systems, Adam Hilger, 1991

Prérequis obligatoires

Solid mathematical background (Taylor expansions, polynomial developments)

Fundamentals in ray optics (ray tracing, conjugation formulae, definition of an optical system)

Basic knowledge of Fourier optics (diffraction, Fresnel approximation, Fourier transforms)

Modalités d'organisation

Two-hour long lectures with each chapter followed by a two-hour tutorial. Tabletop experiment during chapter IV.

Volume des enseignements

Cours magistraux: 24 heures
Volume total: 24 heures

Responsables pédagogiques:

CHOQUET Elodie

Codes APOGÉE

SPFAU26J [ELP]