Nanoscale imaging using deep ultraviolet digital holographic microscopy

Faridian, Ahmad; Hopp, David; Pedrini, Giancarlo; Eigenthaler, Ulrike; Hirscher, Michael

doi:10.1364/oe.18.014159

Cited by 84 publications

(33 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One can use illuminating beams hitting the sample at user specified angle [23], see Figure 2 for a schematic illustration of this approach. One can also imagine having multiple simultaneous oblique illuminations.…”

Section: Structured Illuminationmentioning

confidence: 99%

Phase Retrieval via Matrix Completion

Candès

Eldar²,

Strohmer

et al. 2013

SIAM J. Imaging Sci.

659

850

View full text Add to dashboard Cite

This paper develops a novel framework for phase retrieval, a problem which arises in X-ray crystallography, diffraction imaging, astronomical imaging and many other applications. Our approach, called PhaseLift, combines multiple structured illuminations together with ideas from convex programming to recover the phase from intensity measurements, typically from the modulus of the diffracted wave. We demonstrate empirically that any complex-valued object can be recovered from the knowledge of the magnitude of just a few diffracted patterns by solving a simple convex optimization problem inspired by the recent literature on matrix completion. More importantly, we also demonstrate that our noise-aware algorithms are stable in the sense that the reconstruction degrades gracefully as the signal-to-noise ratio decreases. Finally, we introduce some theory showing that one can design very simple structured illumination patterns such that three diffracted figures uniquely determine the phase of the object we wish to recover.

show abstract

Section: Structured Illuminationmentioning

confidence: 99%

Phase Retrieval via Matrix Completion

Candès

Eldar²,

Strohmer

et al. 2013

SIAM J. Imaging Sci.

659

850

View full text Add to dashboard Cite

show abstract

“…In addition, the combination of DHM and phase shifting Interferometry are used to characterize optical fibers, optical waveguides and the induced refractive index profile of bent optical fibers 12,13,14,15,16 . Off-axis DHM using a deep ultraviolet wavelength has been confirmed to give resolution in the submicron and nanoscale range 17 .…”

Section: Introductionmentioning

confidence: 97%

Digital holographic microscopy for the study of nano-fibers

et al. 2013

View full text Add to dashboard Cite

The advantages of digital holographic microscopy to record not only the intensity but also the optical phase are employed. The experimental arrangement comprises a Mach-Zehnder type interferometer with a microscopic objective of magnification 100x. The used camera is a 5 Mpixels Allied Vision Guppy Pro F-503 with a pixel pitch of 2.2 m. The lateral magnification is set to about 200x based on the standard MIL-STD-150A 1951 USAF resolution test target. The dimensions of the aggregated natural cellulose nanowhisker fibers used are in the range of some hundreds of nanometers, which are positioned in the front of the microscopic objective using a 3D translation stage in the object arm of the holographic setup. The recorded off-axis holograms are refocused using the angular spectrum method. The reconstructed complex field is used to calculate optical phase and intensity distributions of the object at different reconstructions depths. The dimensions and orientation of the fibers can be evaluated from the optical field at different depths. Then, the shape and textures along the aggregated natural cellulose nanowhisker fiber can be presented in 3D space. The nano fiber found to have the dimensions of mean width 223 nm, depth 308 nm and length of 8.1 m. Further, the mean local refractive index of the nano fibers can be calculated (n=1.501).

show abstract

“…Besides (digital) holography/interferometry, [1][2][3] where the phase can be recorded by superposition of the incident object light wave with a reference wave, there are phase retrieval methods which work without interference, just by recording the measurable intensity. The most applied approach was already published in 1972 by Gerchberg and Saxton 4 and is based on an iterative algorithm.…”

Section: Introductionmentioning

confidence: 99%

A benchmark system for the evaluation of selected phase retrieval methods

Lingel

Hasler

Haist

et al. 2014

Optical Micro- And Nanometrology V

Self Cite

View full text Add to dashboard Cite

In comparison to classical phase measurement methods like interferometry and holography, there are many phase retrieval methods which are able to recover the phase of a complex valued object without the necessity of a reference wave. Due to the large number of different methods, iterative as well as non-iterative ones, it is hard to find the method which is appropriate for a given application or object. We propose a system which is based on different criteria, some of which can be calculated by analyzing the phase retrieval result compared to the original object. Other criteria like the complexity of the optical system are also taken into account. For testing the benchmark system we use a software which is suitable, first, to simulate the acquisition process of the intensity measurements, second, to run the phase retrieval algorithm itself and, third, to calculate the values of the benchmark criteria. Having determined the values of the different criteria we assign points for every criterion which can be weighted by importance and are summed up for getting an overall benchmark score. This final score can be used to compare different phase retrieval methods and by having a closer look at the single criteria it is possible to analyze the strengths and weaknesses of the method. We will show the detailed proceeding of calculating the benchmark value by means of a selected phase retrieval method and a phase only object (USAF target). We have to emphasize that the results strongly depend on the object.

show abstract

Nanoscale imaging using deep ultraviolet digital holographic microscopy

Cited by 84 publications

References 20 publications

Phase Retrieval via Matrix Completion

Phase Retrieval via Matrix Completion

Digital holographic microscopy for the study of nano-fibers

A benchmark system for the evaluation of selected phase retrieval methods

Contact Info

Product

Resources

About