Nanophotonics for optical super resolution from an information theoretical perspective: a review

Zalevsky, Zeev; Micó, Vicente; Garcı́a, Javier

doi:10.1117/1.3184610

Cited by 12 publications

References 100 publications

(130 reference statements)

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Linear Canonical Domains and Degrees of Freedom of Signals and Systems

Oktem

Özaktaş

2016

Linear Canonical Transforms

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We discuss the relationships between linear canonical transform (LCT) domains, fractional Fourier transform (FRT) domains, and the space-frequency plane. In particular, 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 monotonically ordered by the corresponding fractional order parameter and provides a more transparent view of the evolution of light through an optical system modeled by LCTs. We then study the number of degrees of freedom of optical systems and signals based on these concepts. We first discuss the bicanonical width product (BWP), which is the number of degrees of freedom of LCT-limited signals. The BWP generalizes the space-bandwidth product and often provides a tighter measure of the actual number of degrees of freedom of signals. We illustrate the usefulness of the notion of BWP in two applications: efficient signal representation and efficient system simulation. In the first application we provide a sub-Nyquist sampling approach to represent and reconstruct signals with arbitrary space-frequency support. In the second application we provide a fast discrete LCT (DLCT) computation method which can accurately compute a (continuous) LCT with the minimum number of samples given by the BWP. Finally, we focus on the degrees of freedom of first-order optical systems with multiple apertures. We show how to explicitly quantify the degrees of freedom of such systems, state conditions for lossless transfer through the system and analyze the effects of lossy transfer.

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Linear Canonical Domains and Degrees of Freedom of Signals and Systems

Oktem

Özaktaş

2016

Linear Canonical Transforms

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Super-Resolving Approaches Suitable for Brain Imaging Applications

Wagner

Zalevsky

2018

Advanced Optical Methods for Brain Imaging

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Quantitative phase imaging based on holography: trends and new perspectives

Huang,

Cao

2024

Light Sci Appl

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In 1948, Dennis Gabor proposed the concept of holography, providing a pioneering solution to a quantitative description of the optical wavefront. After 75 years of development, holographic imaging has become a powerful tool for optical wavefront measurement and quantitative phase imaging. The emergence of this technology has given fresh energy to physics, biology, and materials science. Digital holography (DH) possesses the quantitative advantages of wide-field, non-contact, precise, and dynamic measurement capability for complex-waves. DH has unique capabilities for the propagation of optical fields by measuring light scattering with phase information. It offers quantitative visualization of the refractive index and thickness distribution of weak absorption samples, which plays a vital role in the pathophysiology of various diseases and the characterization of various materials. It provides a possibility to bridge the gap between the imaging and scattering disciplines. The propagation of wavefront is described by the complex amplitude. The complex-value in the complex-domain is reconstructed from the intensity-value measurement by camera in the real-domain. Here, we regard the process of holographic recording and reconstruction as a transformation between complex-domain and real-domain, and discuss the mathematics and physical principles of reconstruction. We review the DH in underlying principles, technical approaches, and the breadth of applications. We conclude with emerging challenges and opportunities based on combining holographic imaging with other methodologies that expand the scope and utility of holographic imaging even further. The multidisciplinary nature brings technology and application experts together in label-free cell biology, analytical chemistry, clinical sciences, wavefront sensing, and semiconductor production.

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Nanophotonics for optical super resolution from an information theoretical perspective: a review

Cited by 12 publications

References 100 publications

Linear Canonical Domains and Degrees of Freedom of Signals and Systems

Linear Canonical Domains and Degrees of Freedom of Signals and Systems

Super-Resolving Approaches Suitable for Brain Imaging Applications

Quantitative phase imaging based on holography: trends and new perspectives

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