OPTI 512R: Linear Systems, Fourier Transforms

Recommended Texts

Complex numbers Notes 1_12
Special functions, the impulse function and functions based on the impulse Notes 13_27
Harmonic Analysis and the Fourier Series, truncated Fourier series Notes 28_45
Operators and Linear Shift-Invariant Systems. Convolution and its properties Notes 46_58
Fourier Transform and its properties Notes 59_69
Convolution Theorem and other special theorems for the Fourier transform (Rayleigh energy, Wiener-Khinchine) Notes 70_71
Two-dimensional functions, Fourier transforms, and convolution. The Hankel transform and the Radon transform. Notes 72_82

Filters: Low Pass, High Pass, Band Pass; Amplitude and Phase Filters Notes 83_89
Signal processing, noise reduction, equalization Notes 90_93
Sampling and Reconstruction; Aliasing Notes 94_104
Discrete Fourier Transform and Discrete Convolution Notes 105_111

Plane waves, the plane wave spectrum Notes 112_123
Gaussian beam propagation Notes 124_131
Spherical waves, Fresnel and Fraunhofer diffraction Notes 132_137
Examples of Fraunhofer and Fresnel diffraction, Fresnel zone plates Notes 138_151

Fresnel diffraction from Lenses and Fourier transforming properties of lenses Notes 152_159
Diffraction limited imaging systems Notes 160_167
Performance of optical imaging systems with coherent and incoherent illumination, OTF, MTF, PSF, Aberrations Notes 168_178