Introduction to Fourier Optics¶
Goodman, J. (2005). Introduction to Fourier Optics. Co Publishers.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Fourier Transform
- Harmonic analysis and PDE theory (mathematics) — its native ground: diagonalizing the heat and wave equations, distribution theory, and functional analysis, where the transform is the orthonormal change of basis into translation eigenfunctions. Audio and acoustic signal processing — spectrograms, filtering, pitch and formant analysis; perceptual audio compression (MP3, AAC) truncates coefficients in the frequency domain after the transform exposes a sparse spectrum. Image processing — JPEG's block DCT (a Fourier cousin), plus deblurring, registration, and frequency-domain filtering of spatial signals. Telecommunications — OFDM in Wi-Fi, LTE, and 5G encodes data on orthogonal frequency subcarriers whose very orthogonality is defined by the transform; modulation and demodulation are spectral operations. Optics — Fraunhofer (far-field) diffraction of an aperture is literally the Fourier transform of the aperture function; Fourier optics builds imaging systems on this identity
This sourceGoodman's Introduction to Fourier Optics derives Fraunhofer diffraction as the Fourier transform of the aperture function and builds imaging-system analysis on it, exactly as stated.
- Harmonic analysis and PDE theory (mathematics) — its native ground: diagonalizing the heat and wave equations, distribution theory, and functional analysis, where the transform is the orthonormal change of basis into translation eigenfunctions. Audio and acoustic signal processing — spectrograms, filtering, pitch and formant analysis; perceptual audio compression (MP3, AAC) truncates coefficients in the frequency domain after the transform exposes a sparse spectrum. Image processing — JPEG's block DCT (a Fourier cousin), plus deblurring, registration, and frequency-domain filtering of spatial signals. Telecommunications — OFDM in Wi-Fi, LTE, and 5G encodes data on orthogonal frequency subcarriers whose very orthogonality is defined by the transform; modulation and demodulation are spectral operations. Optics — Fraunhofer (far-field) diffraction of an aperture is literally the Fourier transform of the aperture function; Fourier optics builds imaging systems on this identity
- Pupil function
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