Super-resolution in incoherent optical imaging using synthetic aperture with Fresnel elements

Katz, Barak; Rosen, Joseph

doi:10.1364/oe.18.000962

Cited by 69 publications

(56 citation statements)

References 7 publications

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“…62 This method is based on FINCH in the sense that each element in the SA mosaic is actually acquired using a modified FINCH system. In general, the SA in SAFE is formed by combining several Fresnel subholograms recorded from various viewpoints by a limited aperture FINCH recorder.…”

Section: Synthetic Aperture With Fresnel Elementsmentioning

confidence: 99%

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Incoherent digital holography with phase-only spatial light modulators

Rosen

Kelner

Kashter

2015

J. Micro/Nanolith. MEMS MOEMS

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Abstract. Today, spatial light modulators (SLMs) offer the world of digital holography a robust technology that can be incorporated into hologram recorders. This review surveys recent developments related to the role of SLMs in a family of incoherent digital hologram recorders termed Fresnel incoherent correlation holography (FINCH). Two systems branching out from FINCH, and discussed herein, are a confocal version of FINCH and a synthetic aperture FINCH-based system.

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Section: Synthetic Aperture With Fresnel Elementsmentioning

confidence: 99%

“…Since its first demonstration, SAFE has evolved in parallel to FINCH, such that every improvement in FINCH has been later adapted to SAFE. [62][63][64] The latest and best performing SAFE configuration, dubbed dual lens SAFE, 64 is reviewed in Sec. 3.1.…”

Section: Synthetic Aperture With Fresnel Elementsmentioning

confidence: 99%

Incoherent digital holography with phase-only spatial light modulators

Rosen

Kelner

Kashter

2015

J. Micro/Nanolith. MEMS MOEMS

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“…In a recent study, a new type of incoherent holographic FINCH-based system, dubbed SA with Fresnel element (SAFE) [16], has been proposed. This holographic system creates an SA by combining several Fresnel sub-holograms captured from various viewpoints by a system with a limited physical aperture.…”

Section: Introductionmentioning

confidence: 99%

“…The SA is implemented by shifting the BPF-polarized-SLMcamera set along several viewpoints (see Fig. 1 in Ref [16]). At each viewpoint, a different mask is displayed on the SLM with respect to the system's position and a single element of the Fresnel hologram is recorded.…”

Section: Introductionmentioning

confidence: 99%

Enhanced-resolution using modified configuration of Fresnel incoherent holographic recorder with synthetic aperture

Kashter¹,

Rosen²

2014

Opt. Express

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Synthetic aperture methods are commonly-used techniques for providing images with super-resolution qualities. We propose an improved design of the system, coined "synthetic aperture with Fresnel elements". The super-resolution capabilities of the proposed scheme are analyzed and experimentally demonstrated. References and links1. E. Abbe, "Beitrage zür theorie des mikroskops und der mikroskopischen wahrnehmung," Archiv.Microskopische Anat. 9(1), 413-418 (1873). 2. A. A. Michelson, "On the application of interference methods to astronomical measurements," Proc. Natl. Acad.

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“…Following mathematical justification presented in [11], the recorded intensity over the CCD plane, Ix; y; ⃗r s ; z s jD 1 x; y; ⃗ r s ; z s D 2 x; y; ⃗ r s ; z s j 2 , is equal to…”

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confidence: 99%

Spatially incoherent single channel digital Fourier holography

Kelner

Rosen

2012

Opt. Lett.

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We present a new method for recording digital Fourier holograms under incoherent illumination. A single exposure recorded by a digital camera is sufficient to record a real-valued hologram that encodes the complete three-dimensional properties of an object. © 2012 Optical Society of America OCIS codes: 090.0090, 090.1995, 110.6880, 100.3010, 070.6120. In recent years we have witnessed noteworthy achievements of incoherent holography techniques such as optical scanning holography [1] and Fresnel incoherent correlation holography (FINCH) [2,3]. The latter has fundamental system robustness since it is based on a single channel incoherent interferometer and because it does not require any scanning or mechanical movement. However, though a single FINCH image contains the complete three-dimensional (3D) information of an object, at least three images are required to solve the twin image problem [4]. In this Letter, we present a new method for recording digital Fourier holograms under incoherent illumination. Fourier holograms [5,6] possess some advantages over Fresnel holograms including, but not limited to, increased space-bandwidth product performance [7,8] and the relatively easy ability to process and manipulate the hologram, since it is captured in the spatial frequency domain. In addition, the hologram is more robust to information loss, as each object point is distributed over the entire hologram plane. Moreover, by recording a Fourier hologram of a half plane (or space), the twin image problem is avoided and the object can be reconstructed from a single exposure. Still, the proposed method maintains many other advantageous characteristics of FINCH [9]. We coin our method Fourier incoherent single channel holography (FISCH). The FISCH system is shown in Fig. 1. A white-light source illuminates a 3D object. Light scattered from the object passes through a band pass filter (BPF), becomes partially temporally coherent, and continues to propagate through a single channel incoherent interferometer. Eventually, interference patterns are captured by the CCD. Consider a point source object of complex amplitude A s positioned at the coordinate x s ; y s ; z s , a distance z s from the lens L 0 . A tilted diverging spherical wave of the form Tx; y; ⃗r s ; z s A s c ⃗r s ; z s L−⃗r s ∕ z s Q1 ∕ z s is induced over the L 0 plane, where ⃗ r s x s ; y s , c ⃗ r s ; z s is a complex valued constant dependent on the position of the point source, and L⃗ s expi2πλ −1 s x x s y y and Qs expiπsλ −1 x 2 y 2 are the linear and the quadratic phase functions, respectively, in which λ is defined as the central wavelength. A diffractive optical element of the form Q−1 ∕ f 1 is displayed on the spatial light modulator (SLM), positioned at a small angle relative to the optical axis. The SLM is polarization sensitive, so by introducing the linear polarizer P1 the single channel optical apparatus is effectively split into two beams (see [10] for a detailed explanation). With one beam the SLM functions as a converging diffractive lens wi...

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Super-resolution in incoherent optical imaging using synthetic aperture with Fresnel elements

Cited by 69 publications

References 7 publications

Incoherent digital holography with phase-only spatial light modulators

Incoherent digital holography with phase-only spatial light modulators

Enhanced-resolution using modified configuration of Fresnel incoherent holographic recorder with synthetic aperture

Spatially incoherent single channel digital Fourier holography

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