A Study on Controllable Mod Exploiting the Intrinsic Symmetry Breaking of Low-symmetry Photonic Crystals

Year 2024, Volume: 12 Issue: 2, 224 - 235, 27.12.2024

Özgür Önder Karakılınç

https://doi.org/10.51354/mjen.1586502

Abstract

Photonic crystals are periodic dielectric structures that create photonic band gaps depending on the geometry of the lattice elements and the material properties. These structures allow light to be easily controlled, guided, and confined due to the tunability and adjustability of their design parameters. Conventional photonic crystals are typically designed with high-symmetry unit cells, while low-symmetry structures are created by breaking this symmetry. Low-symmetry structures are more sensitive to light manipulation and offer greater control and flexibility over light through geometric diversity. This study investigates the resonance effect in a cavity structure composed of a square lattice photonic crystal made of low-symmetry C2-type dielectric rods. The dependence of the resonance mode on the low-symmetry parameters was investigated and it was shown that, in contrast to other studies, mode splitting or merging can be achieved and tuned by exploiting and perturbing the intrinsic symmetry properties of the low-symmetry photonic crystal structure. The band structure, transmission spectra, and resonance frequencies of the low rotational symmetry photonic crystal were obtained using Lumerical and MEEP software. The analysis of resonance splitting and optical properties by symmetry manipulation will contribute to the understanding of light collimation and trapping.

Keywords

Photonic crystals, Low symmetry, Resonance mode

Ethical Statement

ethical committee permit is not required

Supporting Institution

TUBITAK (The Scientific and Technological Research Council of Turkey)

Project Number

118E954

Thanks

TOBB ETU Photonics Research Lab.

References

• [1] Joannopoulos JD, Johnson SG, Winn JN, Meade RD. Photonic Crystals: Molding the Flow of Light, Second Edition. New Jersey USA, Princeton University Press, 2008.
• [2] Mingaleev S, Kivshar Y. “Nonlinear photonic crystals toward all-optical technologies”. Optics & Photonics News, 13 (7), 48, 2002.
• [3] Li Q, Wang T, Su Y, Yan M, Qiu M. “Coupled mode theory analysis of mode-splitting in coupled cavity system”. Optics Express, 18 (8), 8367–82, 2010.
• [4] Mekis A, Chen JC, Kurland I, Fan S, Villeneuve PR, Joannopoulos JD. “High Transmission through sharp bends in photonic crystal waveguides”. Physical Review Letters, 77 (18), 3787–3790, 1996.
• [5] Fan S, Villeneuve P, Joannopoulos J, Haus H. “Channel drop filters in photonic crystals”. Optics Express, 3 (1), 4, 1998.
• [6] Noble E, Nair RV, Jagatap BN. “Interaction between dual cavity modes in a planar photonic microcavity”. Journal of Modern Optics, 63 (19), 1981-1991, 2016.
• [7] Prorok S. “Nanophotonics and integrated optics photonic crystal cavities”. CST Computer Simulation Technology, Darmstadt Germany, whitepaper, 18.04.2013.
• [8] Zhang Z, Dainese M, Wosinski L, Qiu M. “Resonance-splitting and enhanced notch depth in SOI ring resonators with mutual mode coupling”. Optics Express, 16 (7), 4621, 2008.
• [9] Mahmoodian S, McPhedran R, Sterke C, Dossou K, Poulton C, Botten L. “Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps”. Physical Review A, 79 (1), 013814, 2009.
• [10] Daraei A, Khozeymeh F. “Investigation on mode splitting and degeneracy in the L3 photonic crystal nanocavity via unsymmetrical displacement of air-holes”. The International Journal of Engineering and Science, 2 (2), 146–150, 2013.
• [11] Karakilinc OO, Dinleyici MS. “Design of dual-mode dual-band photonic crystal bandpass filters for terahertz communication applications”. Microwave and Optical Technology Letters, 57 (8), 1806-1810, 2015.
• [12] Yuksel ZM, Oguz H, Karakilinc OO, Turduev M, Berberoglu H, Adak M, Kart SO. “Enhanced self-collimation effect by low rotational symmetry in hexagonal lattice photonic crystals”. Physica Scripta, 99, 065017, 2024.
• [13] Turduev M, Giden I. H. , and Kurt H. “Modified annular photonic crystals with enhanced dispersion relations: polarization insensitive self-collimation and nanophotonic wire waveguide designs”. Journal of the Optical Society of America B, 29(7):1589–1598, 2012.
• [14] Gumus M. A., Tutgun M, Yılmaz D, and Kurt H. “A reduced symmetric 2D photonic crystal cavity with wavelength tunability”. Journal of Physics D: Applied Physics, 52(32):325103, 2019.
• [15] Giden I. H., Turduev M., and Kurt H. “Reduced symmetry and analogy to chirality in periodic dielectric media”. Journal of the European Optical Society - Rapid publications, 9(0), 2014. ISSN 1990-2573.
• [16] Giden I. H., Turduev M., and Kurt H. “Broadband super-collimation with low-symmetric photonic crystal”. Photonics and Nanostructures - Fundamentals and Applications, 11(2):132–138, 2013.
• [17] Gumus M., Akcaalan O., and Kurt H. “Crossed chiral band approximation for wide- band self- collimation of light”. Journal of Physics D: Applied Physics, 53(23):23LT03, 2020.
• [18] Erim N., Erim M. N., and Kurt H. “An optical sensor design using surface modes of low-symmetric photonic crystals”. IEEE Sensors Journal, 19(14):5566–5571, 2019.
• [19] Giden I. H. “Photonic crystal based interferometric design for label-free all-optical sensing applications”. Optics Express, 30(12):21679–21686, 2022.
• [20] Gumus M., Giden I. H., and Kurt H. “Enhanced super-prism effect with self-collimation by dispersion management in C1 symmetric photonic crystals”. In Ali Adibi, Shawn-Yu Lin, and Axel Scherer, editors, Photonic and Phononic Properties of Engineered Nanostructures VIII, 10541, 105411L, SPIE, 2018.
• [21] Yasa U. G., Giden I. H., Turduev M., and Kurt H. “Polarization splitting phenomenon of photonic crystals constructed by two-fold rotationally symmetric unit-cells”. Journal of Optics, 19(9):095005, 2017.
• [22] Chun-ping C, Anada T, Greedy S, Benson TM, Sewell P. “A novel photonic crystal band-pass filter using degenerate modes of a point-defect microcavity for terahertz communication”. Microwave and Optical Technology Letters, 56 (4), 792–797, 2014.
• [23] Xia P, Fu Y, Kong M, Liu Z, Zhou J, Zhou J. “Theoretical analysis of the mode splitting properties in periodically patterned microring resonators”. Journal of Lightwave Technology, 35 (9), 1700-1704, 2017.
• [24] Gumus M, Giden HI, Kurt H. "Broadband self-collimation in C2 symmetric photonic crystals". Optics Letters. 43, 2555-2558, 2018.
• [25] Pendry JB, MacKinnon A. “Calculation of photon dispersion relation”, Physics Review Letters, 69 (19), 2772-2775, 1992.
• [26] Taflove A. Computational Electrodynamics: The Finite-Difference Time Domain Method. Boston: Artech House, 2005.
• [27] Pendry JB. “Calculating photonic band structure”. Journal of Physics: Condensed Matter, 8 (9), 1085- 1108, 1996.
• [28] Pelosi G, Coccioli R, Selleri S. Quick finite elements for electromagnetic waves. Boston USA, Artech House, 1997.
• [29] Oskooi AF, Roundy D, Ibanescu M, Bermel P, Joannopoulos JD, Johnson SG. “Meep: A flexible free- software package for electromagnetic simulations by the FDTD method”. Computer Physics Communications, 181 (3), 687–702, 2010.