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

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

 
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