# OSE5203 - Geometrical Optics

Fundamentals of Geometrical Optics, Geometrical Theory of Image Formation, Optical System Layout, Radiometry.

Description:

Fundamentals of Geometrical Optics, Geometrical Theory of Image Formation, Radiometry, Aberrations, Optical System Layout, Topics covered in the lectures will include: foundations of geometrical optics, Gaussian Optics, geometrical theory of image formation, basic optical devices and instruments, radiometry and flux transfer in imaging systems, introduction to aberration theory, image evaluation/analysis.

Credit Hours:

• 3 hours

Prerequisite:

• Graduate standing or consent of instructor

Course Material:

• P. Mouroulis and J. MacDonald, “Geometrical Optics and Optical Design” Oxford University Press 1997. (Highly Recommended)
• Class notes

List of Topics:

• The Foundations of Geometrical Optics
• Waves, wave fronts, and rays
• Propagation of wave fronts, reflection, refraction
• Fermat’s principle
• Irradiance and the inverse-square law
• The basic postulates of geometrical optics
• Elementary Ray Optics
• Plane surfaces
• Curved surfaces: focusing
• Imagery by a Single Surface and a Thin Lens
• The sign convention
• The paraxial approximation
• Imagery by a single surface
• Imagery by a thin lens
• Imagery of an extended object
• Magnification: the angular size of an object, visual magnification, longitudinal magnification.
• Imagery of a volume
• Gaussian Optics
• The paraxial height and angle variables
• Paraxial ray tracing for systems of many surfaces
• Principal planes
• Thick lenses: power and location of principal planes
• Nodal points, measurement of focal length
• Stops and Pupils
• Marginal and pupil rays
• Optical invariant
• Numerical aperture and number
• Depth of focus and depth of field
• Field of view
• ABCD Matrix Transformation
• Matrix formulation for refraction and for translation
• The conjugate matrix
• Object and image planes
• Principal planes and back and front focal plans
• System stop and entrance and exit pupils
• Light flux transmission through optical systems
• Solid angle and projected area
• Extended sources, distant sources
• Real ray tracing
• Meridional and skew rays
• Ray transfer from between spherical surfaces,
• Refraction of a general ray
• Aberrations
• Chromatic aberration
• Introduction to monochromatic aberrations
• The wave aberration function and classification of aberration
• The Seidel aberration coefficients
• Astigmatism and field curvature
• Primary aberrations of a reflecting prism (plane parallel plates)
• Primary aberrations of a spherical mirror
• Central aberrations (stop at the lens)
• Thin lens aberration with a remote stop
• Gaussian Optics of Optical Instruments and Components
• The telescope, the microscope, Projection Systems, the Eye
• Reflecting prisms, Cylindrical and anamorphic optics, Gradient index optics

Syllabi