Makale detayı · 2010
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product
Dergi
Journal of the Optical Society of America AISSN 1084-7529
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- Yıl
- 2010
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Journal of the Optical Society of America A
- Katalog eşleşmesi (ISSN) Journal of the Optical Society of America A: Optics and Image Science, and Vision
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
Linear canonical transforms (LCTs) form a three-parameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique axes in the space-frequency plane. This allows LCT domains to be labeled and ordered by the corresponding fractional order parameter and provides insight into the evolution of light through an optical system modeled by LCTs. If a set of signals is highly confined to finite intervals in two arbitrary LCT domains, the space-frequency (phase space) support is a parallelogram. The number of degrees of freedom of this set of signals is given by the area of this parallelogram, which is equal to the bicanonical width product but usually smaller than the conventional space-bandwidth product. The bicanonical width product, which is a generalization of the space-bandwidth product, can provide a tighter measure of the actual number of degrees of freedom, and allows us to represent and process signals with fewer samples.
Konular
Atıflar
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42 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 8 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
- Phase-space window and degrees of freedom of optical systems with multiple apertures 2013
- Fast Algorithms for Digital Computation of Linear Canonical Transforms 2015
- Linear Canonical Domains and Degrees of Freedom of Signals and Systems 2015
- Degrees of freedom of optical systems and signals with applications to sampling and system simulation 2013
- Relationship between the beam propagation method and linear canonical and fractional Fourier transforms 2022
- Fast and accurate linear canonical transform algorithms 2015
- Effect of spatial distribution of partial information on the accurate recovery of optical wave fields 2017
- Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems 2014