Symmetry of Two-Dimensional Hybrid Metal-Dielectric Photonic Crystal within Maple

• Authors: G. Chuiko , O. Dvornik
• Languages of publication: EN

Abstracts

EN

2D-photonic crystal has the close packed hexagonal structure of metallized spheres. The selection rules are first necessary thing for understanding of interactions between differently polarized light and artificial photonic structure. This problem is the object of our paper. Known methods of group theory allow to solve such problems. However, the knowledge about symmetry of structure is the starting point of them. Usually the X-ray diffraction provides such information about natural 3D-crystals. Such assumptions so far have to do after the visual research of photonic structures in practice. Further these assumptions may be confirmed (or vice versa) by experimental research of optical response of photonic structures. We assumed that the symmetry of photonic structure is close to 2D (P6mm) group. Group-theoretical calculations were provided using the system of computer mathematics Maple. Both polarizations, normal to surface and parallel to that plane, were taken into consideration. The obtained selections rules were confirmed later by independent experiments.

Keywords

EN

68.90.+g; 61.44.Br; 78.66.-w

Discipline

• 68.90.+g: Other topics in structure, and nonelectronic properties of surfaces and interfaces; thin films and low-dimensional structures (restricted to new topics in section 68)
• 61.44.Br: Quasicrystals
• 78.66.-w: Optical properties of specific thin films(for optical properties of low-dimensional, mesoscopic, and nanoscale materials, see 78.67.-n; for optical properties of surfaces, see 78.68.+m)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 4
• Pages: 1227-1229

Dates

published

2017-10

received

2015-09-24

Contributors

author

G. Chuiko

• Department of Computer Engineering, Petro Mohyla Black Sea State University, Mykolayiv, 54003, Ukraine

author

O. Dvornik

• Department of Computer Engineering, Petro Mohyla Black Sea State University, Mykolayiv, 54003, Ukraine

References

• [1] G.P. Chuiko, O.V. Dvornik, Symmetry of two-dimensional hybrid metal-dielectric photonic crystal within MAPLE, Maplesoft, 2013 http://maplesoft.com/applications/view.aspx?SID=151383
• [2] S.G. Romanov, N. Vogel, K. Bley, K. Landfester, C.K. Weiss, S. Orlov, Phys. Rev. B 86, 195145 (2012), doi: 10.1103/PhysRevB.86.195145
• [3] S.G. Romanov, A.V. Korovin, A. Regensburger, U. Peschel, Adv. Mater. 23, 2515 (2011), doi: 10.1002/adma.201100460
• [4] B.K. Weinstein, in: Modern Crystallography, Vol. 1, Eds. B.K. Weinstein, A.A. Chernov, L.E. Shuvalov, Nauka, Moscow 1979, (in Russian)
• [5] Y.K. Yegorov-Tismenko, G.P. Litvinskaya, Theory of Crystal Symmetry, GEOS, Moscow 2000, (in Russian)

Identifiers

DOI

10.12693/APhysPolA.132.1227