Improvement of the Numerical Method for Effective Refractive Index Calculation of Porous Composite Materials Using Microlevel Models

• Authors: N. Andrushchak , N. Jaworski , M. Lobur
• Languages of publication: EN

Abstracts

EN

The numerical method of the effective refractive index of porous composite materials calculation was improved by implementation of microlevel cellular structural models. The proposed solution gives the ability uniformly to analyse complex structural inhomogeneities and to synthesize the corresponding index based on the simulation of electrostatic field. The proposed realization is simpler and takes less computations capacities in comparison to analogous simulation methods. The method was probed on the example of SiO₂ nanoporous matrix with refractive index n=1.426 at λ=2.71 μm wavelength. The results of simulation are in good agreement with other analytical models from literature.

Keywords

EN

02.70.Dh; 41.20.Cv; 78.20.Ci; 81.05.Rm

Discipline

• 02.70.Dh: Finite-element and Galerkin methods
• 78.20.Ci: Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity)
• 81.05.Rm: Porous materials; granular materials(for granular superconductors, see 74.81.Bd)
• 41.20.Cv: Electrostatics; Poisson and Laplace equations, boundary-value problems

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 1
• Pages: 164-166

Dates

published

2018-01

received

2017-06-26

(unknown)

2017-10-20

Contributors

author

N. Andrushchak

• CAD Department, Lviv Polytechnic National University, 12 S. Bandery Str., Lviv, Ukraine

author

N. Jaworski

• CAD Department, Lviv Polytechnic National University, 12 S. Bandery Str., Lviv, Ukraine

author

M. Lobur

• CAD Department, Lviv Polytechnic National University, 12 S. Bandery Str., Lviv, Ukraine

References

• [1] A. Losic, Nanoporous Alumina. Fabrication, Structure, Properties and Applications, Springer, New York 2015, p. 371, doi: 10.1007/978-3-319-20334-8
• [2] N. Hutchinson, et al., Thin Solid Films 518, 2141 (2010), doi: 10.1016/j.tsf.2009.08.048
• [3] M. Braun, L. Pilon, Thin Solid Films 496, 505 (2006), doi: 10.1016/j.tsf.2005.08.173
• [4] N.B. Jaworski, N.A. Andrushchak, in: Proc. 14th Int. Conf. The Experience of Designing and Application of CAD Systems in Microelectronics, CADSM 2017, Polyana-Svalyava (Ukraine) 2017, p. 63, doi: 10.1109/CADSM.2017.7916085
• [5] N. Andrushchak, in: Proc. 13th Int. Conf. on Modern Problems of Radio Engineering, Telecommunications and Computer Science, Slavsko (Ukraine) 2016, p. 186, doi: 10.1109/TCSET.2016.7452008
• [6] N.A. Andrushchak, I.D. Karbovnyk, K. Godziszewski, Ye. Yashchyshyn, M.V. Lobur, A.S. Andrushchak, IEEE Trans. Instrum. Meas. 64, 3005 (2015), doi: 10.1109/TIM.2015.2437631
• [7] N.A. Andrushchak, O.I. Syrotynsky, I.D. Karbovnyk, Ya.V. Bobitskii, A.S. Andrushchak, A.V. Kityk, Microwave Opt. Technol. Lett. 53, 1193 (2011), doi: 10.1002/mop.25944
• [8] N.A. Andrushchak, Ya.V. Bobitskii, T.V. Maksymyuk, O.I. Syrotynsky, A.S. Andrushchak, I.D. Karbovnyk, in: Proc. 4th Microwave and Radar Week, 18th Intern. Conf. on Microwaves, Radar and Wireless Conmunications, MIKON 2010, Lithuania 2010, p. 273
• [9] I.D. Karbovnyk, N.A. Andrushchak, Ya.V. Bobitskii, in: Proc. 5th Int. Conf. on Advanced Optoelectronics and Lasers, CAOL'2010, Sevastopol (Ukraine) 2010, p. 226, doi: 10.1109/CAOL.2010.5634203
• [10] A.S. Andrushchak, O.I. Syrotynskiy, N.A. Andrushchak, in: Proc. Int. Workshop - THz Radiation: Basic Research and Applications, TERA, 2008, p. 174, doi: 10.1109/TERA.2008.4673816
• [11] A.S. Andrushchak, T.I. Voronyak, O.V. Yurkevych, N.A. Andrushchak, A.V. Kityk, Opt. Lasers Eng. 51, 342 (2013), doi: 10.1016/j.optlaseng.2012.12.006
• [12] N.A. Andrushchak, O.A. Buryy, V.T. Adamiv, I.M. Teslyuk, A.S. Andrushchak, A.V. Kityk, in: Proc. 6th Int. Conf. Nanomaterials: Applications and Properties, NAP 2016, Lviv (Ukraine) 2016, p. 02NNSA10-1, doi: 10.1109/NAP.2016.7757311
• [13] N. Jaworski, et al., in: Proc. 8th Int. Scientific and Technical Conf. CSIT'2013, Lviv (Ukraine) 2013, p. 46
• [14] N. Jaworski, Econtechmod 4, 2 (2015)
• [15] V. Narusberh, G. Teters, Stability and Optimization of Composite Shells, Zynatne, Riga 1988 (in Russian)
• [16] N. Sahoo, et al., Appl. Surf. Sci. 253, 6787 (2007), doi: 10.1016/j.apsusc.2007.01.131
• [17] M. Wang, N. Pan, Int. J. Mater. Sci. Eng. 63, 1 (2008), doi: 10.1016/j.mser.2008.07.001
• [18] N. Jaworski, et al., Sci. Bull. Ukr. Nation. Forestry Univ. 25, 359 (2015)
• [19] S. Torquato, Random Heterogeneous Materials. Microstructure and Macroscopic Properties, Springer, New York 2002, doi: 10.1007/978-1-4757-6355-3
• [20] N. Jaworski, et al., Bull. LPNU Comp. Sci. Inf. Tech. 826, 385 (2015)
• [21] N. Jaworski, et al., Bull. LPNU Comp. Sys. Des. 747, 59 (2012)

Identifiers

DOI

10.12693/APhysPolA.131.164