Introduction to Fourier Optics¶
Goodman, J. (2005). Introduction to Fourier Optics. Co Publishers.
Cited by¶
3 citations across 3 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.
SupportedVerified against the source
- 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
Mechanisms¶
- Synthetic Kernel Test Pattern
- Feeding the point source through the kernel reveals its impulse response directly — the point spread — showing exactly how the kernel blurs and whether it rings;
This sourceUses point, edge, and grating inputs to expose an imaging system’s point-spread response, blur and ringing, edge overshoot, and transfer of fine spatial frequencies.
- Feeding the point source through the kernel reveals its impulse response directly — the point spread — showing exactly how the kernel blurs and whether it rings;
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Read against the text for 1 of 3 citations: 1 supported. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:1284a38f30a8 · see in the full table