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Reconstruction of 3D stress
fields basing on piezooptic experiment
1Vasylkiv Yu., 1Kvasnyuk
O., 1Krupych O., 1Mys O., 2Maksymuk O.,
1Vlokh
R.
1Institute
of Physical Optics of the Ministry of Education and Science of Ukraine,
23 Dragomanov St., 79005 Lviv, Ukraine
2Ya.S.
Pidstryhach Institute of Applied Mechanics and Mathematics of the National
Academy of Sciences of Ukraine, 3b Naukova St., 79060 Lviv, Ukraine
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We suggest a technique for reconstructing 3D stress tensor fields with
using polarimetric mapping, optical retardation simulations on the basis
of integral Jones matrix approach and a relevant mechanical model. It is
shown that the reconstruction of stress fields essentially increases the
accuracy of piezooptic experiments, while the corresponding errors could
be reduced almost to an apparatus error.
Keywords:piezooptics, stress tensor field reconstruction,
optical retardation simulation, experimental error
PACS: 78.20.Hp, 07.10.Lw, 07.60.Fs
Ukr. J. Phys. Opt.
10 22-37
doi: 10.3116/16091833/10/1/22/2009
Received: 25.12.2008
Анотація. В роботі запропонований
метод реконструкції 3D тензорного поля
напружень з використанням поляриметричного
картографування, моделювання оптичної
різниці фаз на основі підходу інтегральних
матриць Джонса і відповідної механічної
моделі. Показано, що реконструкція поля
напружень суттєво підвищує точність п’єзооптичного
експерименту, тоді як відповідні похибки
можуть бути зменшеними практично до апаратних.
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REFERENCES
-
Grakh I I and Mozhanskaya A F, 1971. A type of mechanically anisotropic,
optically sensitive material. Mekhanika Polimerov 5: 835-839.
-
Weber Y-J, 1995. Determination of internal strain by optical measurements.
Phys. Rev. B 51: 1220912215. doi:10.1103/PhysRevB.51.12209
-
Narasimhamurty T S, Photoelastic and Electrooptic Properties of Crystals.
New York: Plenum Press, (1981).
-
Slezinger I I, Alievskaya A N and Mironov Yu V, 1985. Piezooptic devices.
Izmeritelnaya Tekhnika 12: 17-19.
-
Auld B A, Acoustic Fields and Waves in Solids. Malabar, FL: Krieger, (1990).
-
Balakshii V I, Parygin V N and Chirkov L E, Physical fundamentals of acoustooptics.
Moscow: Radio i Sviaz', (1985).
-
Xu J and Stroud R, Acousto-optic Devices: Principles, Design, and Applications.
New York: Wiley, (1992).
-
Shaskolskaya M P, Acoustic crystals. Moscow: Nauka, (1982).
-
Ajmera P K, Huner B, Dutta A K, and Hartley C S, 1988. Simulation and observation
of infrared pie-zobirefringent images in diametrically compressed semiconductor
disks. Appl. Opt. 27: 752-757.
-
Martynyuk-Lototska I, Mys O, Dudok T, Adamiv V, Smirnov Ye and Vlokh R,
2008. Acoustooptic Interaction in alpha-BaB2O4 and Li2B4O7 Crystals. Appl.
Opt. 47: 34463454. doi:10.1364/AO.47.003446PMid:18594591
-
Martynyuk-Lototska I, Dudok T, Mys O and Vlokh R, 2008. Elastic, Piezooptic
and Acoustooptic Properties of SrB4O7 and PbB4O7 Crystals. Opt. Mater.
31:660-667. doi:10.1016/j.optmat.2008.06.020
-
Mys O, Adamiv V, Martynyuk-Lototska I, Burak Ya and Vlokh R, 2007. Piezooptic
and acoustic properties of KLiB4O7 crystals. Ukr.J.Phys.Opt. 8: 138-142.
doi:10.3116/16091833/8/3/138/2007
-
Dixon R W, Cohen M G, 1966. A new technique for measuring magnitudes of
photoelastic tensors and its application to lithium niobate. Appl. Phys.
Lett. 8: 205-207. doi:10.1063/1.1754556
-
Dixon R W, 1967. Photoelastic properties of selected materials and their
relevance for application to acoustic light modulators and scanners. J.
Appl. Phys. 38: 5149-5153. doi:10.1063/1.1709293
-
Peng H J, Wong S P, and Ho H P, 2004. Measurement of orientation dependent
stress-optic coefficient of GaAs single crystals. Appl. Phys. Lett. 84:
1829-1831. doi:10.1063/1.1675938
-
Aben H, Errapart A, and Ainola L, 2006. On real and imaginary algorithms
of optical tensor field tomography. Proc. Estonian Acad. Sci. Phys. Math.
55: 112-127.
-
Hammer H. and Lionheart W R B, 2005. Reconstruction of spatially inhomogeneous
dielectric tensors through optical tomography. J. Opt. Soc. Am. A 22: 250-255.
doi:10.1364/JOSAA.22.000250
-
Puro A É and Karov D D, 2007. Tensor field tomography of residual stresses.
Opt. Spectr. 103: 678-682. doi:10.1134/S0030400X07100244
-
Aben H, Errapart A, Ainola L and Anton J, 2005. Photoelastic tomography
for residual stress measurement in glass. Opt. Eng. 44: 093601. doi:10.1117/1.2047368
-
Vlokh R, Krupych O, Kostyrko M, Netolya V and Trach I, 2001. Gradient thermooptical
effect in LiNbO3 crystals. Ukr. J. Phys. Opt. 2: 154-158.
doi:10.3116/16091833/2/3/154/2001
-
http://lzos.ru/produktsiya-nashego-predpriyatiya/
-
http://hypertextbook.com/facts/2005/glass.shtml
-
Bayda E N, Some spatial problems of the theory of elasticity. Leningrad:
Izd. LGU, (1983)
(c) Ukrainian Journal
of Physical Optics
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