Geodesic
Polycapillary glass micro and nanostructures:
News of the Kabardin-Balkar scientific center of RAS, no. 3 (2015), pp. 9-17.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work the review of the existing approaches for creation of mathematical models of process of production of polycapillary structures of glass which are basic functional elements of microchannel plates, x-ray polycapillary lenses, special optical light guides with a photon and crystal cover is submitted. The assessment of these models from the point of view of their adequacy to process of production of polycapillary structures on technology "stack and draw" is carried out.
Keywords: polycapillary structure, microstructured fiber, X-ray capillary optics, mathematical modeling, technology “stack and draw”. 
@article{IZKAB_2015_3_a0,
     author = {K. A. Bzheumikhov and Z. Ch. Margushev and Yu. V. Savoiskii},
     title = {Polycapillary glass micro and nanostructures:},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {9--17},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2015_3_a0/}
}
TY  - JOUR
AU  - K. A. Bzheumikhov
AU  - Z. Ch. Margushev
AU  - Yu. V. Savoiskii
TI  - Polycapillary glass micro and nanostructures:
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2015
SP  - 9
EP  - 17
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2015_3_a0/
LA  - ru
ID  - IZKAB_2015_3_a0
ER  - 
%0 Journal Article
%A K. A. Bzheumikhov
%A Z. Ch. Margushev
%A Yu. V. Savoiskii
%T Polycapillary glass micro and nanostructures:
%J News of the Kabardin-Balkar scientific center of RAS
%D 2015
%P 9-17
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2015_3_a0/
%G ru
%F IZKAB_2015_3_a0
K. A. Bzheumikhov; Z. Ch. Margushev; Yu. V. Savoiskii. Polycapillary glass micro and nanostructures:. News of the Kabardin-Balkar scientific center of RAS, no. 3 (2015), pp. 9-17. http://geodesic.mathdoc.fr/item/IZKAB_2015_3_a0/

[1] http://www.baspik.com

[2] http://www.ifg-adlershof.de

[3] A.A. Bzheumikhov, K.A. Bzheumikhov, Z.Ch. Margushev, “Novye dostizheniya i primeneniya tekhnologii strukturirovannogo stekla.”, Materialy III Mezhdunarodnoi konferentsii., V sbornike: Modelirovanie ustoichivogo regionalnogo razvitiya., 2009., 227-233

[4] O.E. Nanii, E.G. Pavlova, “Fotonno-kristallicheskie volokna”, Lightwave Russian Edition., 2004., no. 3., 47–53.

[5] http://www.electronics.ru/journal/article/1093

[6] V.N. Sidelnikov, Yu.V. Patrushev, “Polikapillyarnaya khromotografiya”, Ros. khim. zhurnal (Zhurnal Ros. khim. ob-va im. D.I. Mendeleeva)., XLVII.:1. (2003.), 23-34.

[7] A.F. Chabak, “Mikro- i nanotekhnologii v materialovedenii atomno-vodorodnoi energetiki”, Mezhdunarodnyi nauchnyi zhurnal «Alternativnaya energetika i ekologiya»., 2007., no. 7(51), 57-61

[8] A. Yildirim, M. Vural, M. Yaman, M. Bayindir, “Bioinspired Optoelectronic Nose with Nanostructured Wavelength-Scalable Hollow-Core Infrared Fibers”, Adv. Mater, 23 (2011), 1263–1267

[9] T. Monro, K. M. Kiang, J. H. Lee et. al., “Highly nonlinear extruded singlemode holey optical fibers”, Proc. OFC 2002, (OSA Technical Digest Anheim, USA), 315–317

[10] http://www.kp-info.ru/images/File/2009

[11] http://www.mpl.mpg.de/de/russell/research/topics/fabrication.html

[12] A.I. Filippenko, “Sovremennoe sostoyanie problemy kontrolya konstruktivno-geometricheskikh parametrov mikrostrukturirovannykh opticheskikh volokon”, Radiotekhnika., 2008., no. Vyp. 154., 102-107.

[13] A. Bjeoumikhov, S. Bjeoumikhova, R. Wedell, “Capillary Optics in X-Ray Analytics”, Particle and Particle Systems Characterization, 384–390

[14] M. A. Matovich, J. A. Pearson, “Spinning a molten threadline-Steady-state isothermal viscous flows”, Ind. Eng. Chem. Fund, 8 (1969), 512–520

[15] Y. T. Shah, J. A. Pearson, “On the stability of nonisothermal fiber spinning”, Ind. Eng. Chem. Fund, 11 (1972), 145–149

[16] Y. T. Shah, J. A. Pearson, “On the stability of nonisothermal fiber spinning-General case”, Ind. Eng. Chem. Fund, 11 (1972), 150–153

[17] F. T. Geyling, “Basic fluid dynamic considerations in the drawing of optical fibers”, Bell Syst. Tech. J., 55 (1976), 1011–1056

[18] A. F. Fitt, K. Furusawa, T. et. al. Monro, “The Mathematical Modelling of Capillary Drawing for Holey Fibre Manufacture”, Journal of Engineering Mathematics., 43,:2-4 (2002.), 201–227

[19] R. M. Wynne, “A fabrication process for microstructured optical fibers”, J. Lightwave Technol., 2006, no. 24,, 4304 - 4313

[20] C. J. Voyce, A. D. Fitt, T. Monro, “Mathematical modeling as an accurate predictive tool in capillary and microstructured fiber manufacture: The effects of preform rotation”, J. Lightwave Technol., 26 (2008), 791-798

[21] C. J. Voyce, A. D. Fitt, J. R. Hayes, T. M. Monro, “Mathematical modeling of the selfpressurizing mechanism for microstructured fiber drawing”, J. Lightwave Technol., 27 (2009), 871-878

[22] G. Luzi, P. Epple, M. Scharrer, K. Fujimoto, C. Rauh, A. Delgado, “Asymptotic analysis of flow processes at drawing of single optical microfibers”, Int J. Chem. Reactor Eng., 9 (2011)

[23] G. Urbain, Y. Bottinga, P. Richet, “Viscosity of liquid silica, silicates and aluminosilicates”, Geochim. Cosmochim. Ac., 46 (1982), 1061-1072

[24] R. Kostecki, H. Ebendorff-Heidepriem, S.C. Warren-Smith, T.M. Monro, “Predicting the drawing conditions for Microstructured Optical Fiber Fabrication”, Optical Materials Express, 4:1 (2014), 29–40

[25] G. T. Jasion, J. S. Shrimpton, Y. Chen et. al., “MicroStructure Element Method (MSEM):viscous flow model for the virtual draw of microstructured optical fibers”, Optical Express, 23(1) (2015), 312–329

[26] W. Warren, A. Kraynik, “The linear elastic properties of open-cell foams”, J. Appl. Mech., 55(2), (1988), 341-346

[27] L. J. Cummings, P. D. Howell, “On the evolution of non-axisymmetric viscous fibres with surface tension, inertia and gravity”, J. Fluid Mech., 389 (1999), 361–389

[28] Y. Chen, T. A. Birks, “Predicting hole sizes after fibre drawing without knowing the viscosity”, Opt. Mater.Express, 3(3), (2013), 346-356