TY - JOUR

T1 - Algorithm for supersonic gas jet density profile retrieval from interferometric measurement

AU - Avtaeva, Svetlana V.

AU - Gubin, Konstantin V.

AU - Trunov, Vladimir I.

AU - Tuev, Petr V.

N1 - Publisher Copyright: © 2019 Optical Society of America

PY - 2019/5/1

Y1 - 2019/5/1

N2 - A novel algorithm developed for supersonic gas jet profile retrieval from interferometric measurement is presented. The algorithm uses the Fourier transform method for the phase map restoration and method based on radial profile approximation by a set of hyper-Gaussian functions and their forward Abel transform for 3D gas density profile restoration. The numerical algorithm of the 3D gas density profile restoration based on expansion of the density radial distribution by a basis of hyper-Gaussian functions is compared with algorithms of the inverse Abel transform. Examining accuracy of the algorithms shows that the developed approach is more stable than the inverse Abel transform, and, in the case of axisymmetric objects like supersonic gas jets, it provides higher accuracy. The developed technique was applied for studying the density profile of the pulsed nitrogen supersonic jet produced using a de’Laval nozzle with an exit diameter of 1.5 mm. It is shown that the radial density distributions at distances of 10–700 μm behind the nozzle exit have a hyper-Gaussian-like form with sharp boundaries and a jet top of ∼0.8 mm length, where gas density is about 5.5 · 10 18 cm −3 and varies by no more than 10%.

AB - A novel algorithm developed for supersonic gas jet profile retrieval from interferometric measurement is presented. The algorithm uses the Fourier transform method for the phase map restoration and method based on radial profile approximation by a set of hyper-Gaussian functions and their forward Abel transform for 3D gas density profile restoration. The numerical algorithm of the 3D gas density profile restoration based on expansion of the density radial distribution by a basis of hyper-Gaussian functions is compared with algorithms of the inverse Abel transform. Examining accuracy of the algorithms shows that the developed approach is more stable than the inverse Abel transform, and, in the case of axisymmetric objects like supersonic gas jets, it provides higher accuracy. The developed technique was applied for studying the density profile of the pulsed nitrogen supersonic jet produced using a de’Laval nozzle with an exit diameter of 1.5 mm. It is shown that the radial density distributions at distances of 10–700 μm behind the nozzle exit have a hyper-Gaussian-like form with sharp boundaries and a jet top of ∼0.8 mm length, where gas density is about 5.5 · 10 18 cm −3 and varies by no more than 10%.

KW - ABEL TRANSFORM

KW - PRESSURE

UR - http://www.scopus.com/inward/record.url?scp=85065430786&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.36.000910

DO - 10.1364/JOSAA.36.000910

M3 - Article

C2 - 31045020

AN - SCOPUS:85065430786

VL - 36

SP - 910

EP - 917

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

SN - 1084-7529

IS - 5

ER -