ECE 427 - Modern Linear Optics


Description: Credit 3U/4G Geometrical optics, wave optics, 2D Fourier analysis, scalar diffraction theory, Fourier transforming properties of lenses, coherent and incoherent images, holography, electromagnetic optics, polarization and crystal optics, resonators.

Prerequisite: ECE 310  and ECE 322

Recent Textbooks:

Joseph W. Goodman, Introduction to Fourier Optics, Third Edition, Roberts & Company, Englewood. Colorado, 2005. ISBN 0-9747077-2-4
B.E.A. Saleh, M.C. Teich, Fundamental of Photonics, Wiley, 1991, ISBN o-471-83965-5

Other readings:

D. Erricolo, “Geometrical Optics”, in Encyclopedia of RF and Microwave Engineering, Kai Chang Ed., Vol. 2, pp. 1777-1796, John Wiley & Sons, New York, Feb. 2005.
F.L. Pedrotti, L.S. Pedrotti, Introduction to Optics, Prentice Hall, 1987.

Topics: 

Geometrical Optics
     Reflection and refraction
     Fermat principle
     Mirrors and lenses
     Ray matrices
     Aberrations

Wave Optics
     Monochromatic waves
     Relation between wave optics and geometrical optics
     Interference
     Polychromatic light

Fourier analysis in two dimensions
     Definitions, theorems

Scalar diffraction theory
     Kirchhoff and Rayleigh-Sommerfeld formulation. Huygens-Fresnel principle. Angular Spectrum of plane      waves

Fresnel and Fraunhofer diffraction
     Fresnel formula
     Fraunhofer formula

Wave optics analysis of coherent optical systems
     Thin lens as a phase transformation
     Fourier transforming properties of lenses
     Image formation

Frequency analysis of optical imaging systems
     Generalized treatment of imaging systems: effects of diffraction, polychromatic illumination.
     Frequency response for diffraction limited coherent and incoherent imaging systems:

     Amplitude transfer function and optical transfer function

     Aberrations: generalized pupil function

Analog Optical Information Processing
     Abbe-Porter experiments
     Coherent and incoherent Image processing systems
     VanDerLugt filter
     Character recognition

Holography
     Wavefront Reconstruction
     Leith-Upatnieks Hologram
     Types of Holograms

Electromagnetic Optics
     Electromagnetic theory of light
     Dielectric media
     Monochromatic electromagnetic waves
     Elementary Electromagnetic Waves:
          Plane, spherical, Gaussian electromagnetic waves
     Absorption and dispersion
     Pulse propagation in dispersive media

Polarization and crystal optics
     Polarization of light
     Matrix representation
     Reflection and refraction
     Optics of anisotropic media

Resonator Optics
     Planar and spherical mirror resonators