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Spectral Information Content of Diffraction-Limited Images — arXiv:2610.41092

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.41092
License (as archived): CC0-1.0
Archived: 2026-11-02T08:11:53.916Z
SHA-256 of the archived text: 7984aab82e71bb1ccf707ddd178080360fa7cabe956dd28d86a59721790d91d0
Stable URL of this page: https://metraipolis.com/documento/dc_f9a02ae93dfd

How to cite

Spectral Information Content of Diffraction-Limited Images — arXiv:2610.41092 — arXiv (en), https://arxiv.org/abs/2610.41092 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f9a02ae93dfd (Metraipolis archive dc_f9a02ae93dfd, sha256 7984aab82e71bb1ccf707ddd178080360fa7cabe956dd28d86a59721790d91d0)

BibTeX

@misc{dcf9a02ae93dfd,
  title = {Spectral Information Content of Diffraction-Limited Images — arXiv:2610.41092},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.41092},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f9a02ae93dfd; sha256 7984aab82e71bb1ccf707ddd178080360fa7cabe956dd28d86a59721790d91d0},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.41092. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

High-resolution optical imaging is fundamentally limited by diffraction, which imprints wavelength-dependent structure onto the point spread function (PSF) of the optical system. This intrinsic chromaticity implies that in addition to spatial structure, images encode spectral information. We develop the theory of this spectral information content and provide strategies for its optimal extraction with calculations of Fisher information. We show that polychromatic PSF formation can be expressed as a convolution in logarithmic coordinates and define the corresponding spectral transfer function. We derive this function for the Airy disk and find algebraic decay in spectral log-frequency, implying the existence of arbitrarily fine spectral structure in the ideal, noiseless PSF. We use a differentiable forward model to numerically construct the spectral information eigenbasis and quantify the spectroscopic capability of diffraction-limited imaging across a range of noise and detector systematics. We demonstrate injection and recovery of the constrained spectral modes in a realistic simulated example and compare these results with previously reported methods. Our information-theoretic framework provides a generalisable method for spectral characterisation of PSFs spanning a variety of imaging contexts.

Tema degli esploratori: fisica e astronomia (elenco arXiv astro-ph.IM, nuovi lavori del giorno).
Categorie arXiv: Instrumentation and Methods for Astrophysics (astro-ph.IM) ; Optics (physics.optics).
Pagina del lavoro: https://arxiv.org/abs/2610.41092 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-02T07:49:30.779Z dalla pagina https://arxiv.org/list/astro-ph.IM/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).