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Title: Digital holographic interferometry employing Fresnel transform reconstruction for the study of flow shear stabilized Z-pinch plasmas

Journal Article · · Review of Scientific Instruments
DOI:https://doi.org/10.1063/1.4964387· OSTI ID:1465208

The ZaP-HD Flow Z-Pinch project provides a platform to explore how shear flow stabilized Z-pinches could scale to high-energy-density plasma (HEDP) and fusion reactor conditions. ZaP-HD generates shear stabilized, axisymmetric Z-pinches with stable lifetimes approaching $60$$$$\mu$$s. The goal of the project is to increase the plasma density and temperature compared to the previous ZaP project by compressing the plasma to smaller radii ($$\approx 1$$ mm). Radial and axial plasma electron density structure is measured using digital holographic interferometry (DHI), which provides the necessary fine spatial resolution. ZaP-HD's DHI system uses a 2 ns Nd:YAG laser pulse with a second harmonic generator ($$\lambda = 532$$ nm) to produce holograms recorded by a Nikon D3200 digital camera. The holograms are numerically reconstructed with the Fresnel transform reconstruction method to obtain the phase shift caused by the interaction of the laser beam with the plasma. This provides a two-dimensional map of line-integrated electron density, which can be Abel inverted to determine the local number density. The DHI resolves line-integrated densities down to $$3\times 10^{20}$$ m$$^{-2}$$ with spatial resolution near $$10 \mu$$m. This work presents the first application of Fresnel transform reconstruction as an analysis technique for a plasma diagnostic, and it analyzes the method's accuracy through study of synthetic data. It then presents an Abel inversion procedure that utilizes data on both sides of a Z-pinch local number density profile to maximize profile symmetry. Error estimation and Abel inversion are applied to measured data.

Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0001860; FG02-04ER54756
OSTI ID:
1465208
Alternate ID(s):
OSTI ID: 1328714
Journal Information:
Review of Scientific Instruments, Vol. 87, Issue 10; ISSN 0034-6748
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (27)

High-speed digital holography for neutral gas and electron density imaging journal May 2016
Direct phase determination in hologram interferometry with use of digitally recorded holograms journal January 1994
Three-dimensional information encryption and anticounterfeiting using digital holography journal December 2014
Electron Holography Surmounts Resolution Limit of Electron Microscopy journal January 1995
Calculation of the Equilibrium Evolution of the ZaP Flow $Z$ -Pinch Using a Four-Chord Interferometer journal August 2015
Digital Interferometry Applied to Transient Dense Plasmas journal December 2012
Encrypting three-dimensional information with digital holography journal January 2000
High speed digital holography for density and fluctuation measurements (invited) journal October 2010
The Sheared-Flow Stabilized Z-Pinch journal January 2012
The Reconstruction of Off-Axis Electron Holograms book January 1999
Multidimensional data encryption with digital holography journal January 2003
Principles of Plasma Diagnostics book January 2009
Digital holography for in situ real-time measurement of plasma-facing-component erosion journal November 2014
Observation of plasma jets in a table top plasma focus discharge journal April 2015
Equilibrium, flow shear and stability measurements in the Z-pinch journal July 2009
Sheared Flow Stabilization of the m = 1 Kink Mode in Z Pinches journal October 1995
Subfringe holographic interferometry by computer-based spatial-carrier fringe-pattern analysis journal May 1985
Phase-shifting digital holography journal January 1997
Digital interferometry of phase objects journal May 1997
Formation of a sheared flow Z pinch journal June 2005
Digital holographic interference-phase measurement using the Fourier-transform method journal January 1986
Oblique shock structures formed during the ablation phase of aluminium wire array z-pinches journal February 2013
Non-destructive testing of composite plates by holographic vibrometry journal April 2014
Digital holographic interferometry at F4-ONERA hypersonic wind tunnel journal January 2013
Effects of a Conducting Wall on Z-Pinch Stability journal June 2014
Abel inversion of a holographic interferogram for determination of the density profile of a sheared-flow Z pinch journal August 2006
Holographic Interferometry Cookbook report January 1972

Cited By (3)

A methodology for the digital reconstruction of an interferogram, a schlieren image, or a shadowgram from a single digital holographic recording journal December 2018
Progress Toward a Compact Fusion Reactor Using the Sheared-Flow-Stabilized Z-Pinch journal July 2019
Sustained Neutron Production from a Sheared-Flow Stabilized Z Pinch journal April 2019