Transmission in the vicinity of the Dirac point in hexagonal photonic crystals

The rise of graphene

Geim, A. K., & Novoselov, K. S. (2007) · Nature Materials · doi:10.1038/nmat1849 · Cited by 39,979 · see citing works

Rigorous coupled-wave analysis of planar-grating diffraction

Moharam, M. G. J., & Gaylord, T. K. (1981) · Journal of the Optical Society of America · doi:10.1364/josa.71.000811 · Cited by 2,257 · see citing works

Graphene: carbon in two dimensions

Katsnelson, M. I. (2006) · Materials Today · doi:10.1016/s1369-7021(06)71788-6 · Cited by 2,027 · see citing works

Shape-memory polymers

Behl, M., & Lendlein, A. (2007) · Materials Today · doi:10.1016/s1369-7021(07)70047-0 · Cited by 1,965 · see citing works

Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap

Notomi, M. (2000) · Physical review. B, Condensed matter · doi:10.1103/physrevb.62.10696 · Cited by 1,347 · see citing works

Use of Fourier series in the analysis of discontinuous periodic structures

Li, L. (1996) · Journal of the Optical Society of America A · doi:10.1364/josaa.13.001870 · Cited by 1,251 · see citing works

New formulation of the Fourier modal method for crossed surface-relief gratings

Li, L. (1997) · Journal of the Optical Society of America A · doi:10.1364/josaa.14.002758 · Cited by 1,010 · see citing works

Sub-Poissonian Shot Noise in Graphene

Tworzydło, J., Trauzettel, B., Titov, M., Rycerz, A., & Beenakker, C. W. J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.246802 · Cited by 872 · see citing works

Photonic band structure of two-dimensional systems: The triangular lattice

Plihal, M., & Maradudin, A. A. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.44.8565 · Cited by 684 · see citing works

Zitterbewegung, chirality, and minimal conductivity in graphene

Katsnelson, M. I. (2006) · The European Physical Journal B - Condensed Matter and Complex Systems · doi:10.1140/epjb/e2006-00203-1 · Cited by 660 · see citing works

Scattering-matrix treatment of patterned multilayer photonic structures

Whittaker, D. M., & Culshaw, I. S. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.60.2610 · Cited by 564 · see citing works

Photonic Crystals and Light Localization in the 21st Century

Soukoulis, C. M. (2001) · Springer eBooks · doi:10.1007/978-94-010-0738-2 · Cited by 434 · see citing works

Periodic nanostructures for photonics

Busch, K., von Freymann, G., Lindén, S., Mingaleev, S. F., Tkeshelashvili, L., & Wegener, M. (2007) · Physics Reports · doi:10.1016/j.physrep.2007.02.011 · Cited by 433 · see citing works

Negative Refraction at Infrared Wavelengths in a Two-Dimensional Photonic Crystal

Berrier, A., Mulot, M., Świłło, M., Qiu, M., Thylen, L., Talneau, A., & Anand, S. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.073902 · Cited by 354 · see citing works

Negative Refraction and Left-Handed Electromagnetism in Microwave Photonic Crystals

Parimi, P. V., Lu, W., Vodo, P., Sokoloff, J., Derov, J. S., & Sridhar, S. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.127401 · Cited by 340 · see citing works

Negative refraction and left-handed behavior in two-dimensional photonic crystals

Foteinopoulou, S., & Soukoulis, C. M. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.67.235107 · Cited by 264 · see citing works

Extremal transmission at the Dirac point of a photonic band structure

Sepkhanov, R. A., Bazaliy, Y. B., & Beenakker, C. W. J. (2007) · Physical Review A · doi:10.1103/physreva.75.063813 · Cited by 250 · see citing works

Hexagonal photonic-band-gap structures

Cassagne, D., Jouanin, C., & Bertho, D. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.53.7134 · Cited by 197 · see citing works

Anomalously large conductance fluctuations in weakly disordered graphene

Rycerz, A., Tworzydło, J., & Beenakker, C. W. J. (2007) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/79/57003 · Cited by 175 · see citing works

Quantum Criticality and Minimal Conductivity in Graphene with Long-Range Disorder

Ostrovsky, P. M., Gornyi, I. V., & Mirlin, A. D. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.256801 · Cited by 164 · see citing works

Negative refraction and superlens behavior in a two-dimensional photonic crystal

Moussa, R., Foteinopoulou, S., Zhang, L., Tuttle, G., Güven, K., Özbay, E., & Soukoulis, C. M. (2005) · Physical Review B · doi:10.1103/physrevb.71.085106 · Cited by 163 · see citing works

Disorder-induced losses in photonic crystal waveguides with line defects

Gerace, D., & Andreani, L. C. (2004) · Optics Letters · doi:10.1364/ol.29.001897 · Cited by 111 · see citing works

Gap deformation and classical wave localization in disordered two-dimensional photonic-band-gap materials

Lidorikis, E., Sigalas, M. M., Economou, E. N., & Soukoulis, C. M. (2000) · Physical review. B, Condensed matter · doi:10.1103/physrevb.61.13458 · Cited by 99 · see citing works

Photonic band gaps in a two-dimensional graphite structure

Cassagne, D., Jouanin, C., & Bertho, D. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.52.r2217 · Cited by 89 · see citing works

Disorder-induced modification of the transmission of light in a two-dimensional photonic crystal

Kaliteevski, M. A., Martinez, J. M., Cassagne, D., & Albert, J. P. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.66.113101 · Cited by 80 · see citing works

Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens

Güven, K., Aydın, K., Alici, K. B., Soukoulis, C. M., & Özbay, E. (2004) · Physical Review B · doi:10.1103/physrevb.70.205125 · Cited by 78 · see citing works

All-angle left-handed negative refraction in Kagomé and honeycomb lattice photonic crystals

Gajić, R., Meisels, R., Kuchar, F., & Hingerl, K. (2006) · Physical Review B · doi:10.1103/physrevb.73.165310 · Cited by 65 · see citing works

Effect of size nonuniformities on the band gap of two-dimensional photonic crystals

Ryu, H., Hwang, J.-K., & Lee, Y.-H. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.5463 · Cited by 49 · see citing works

Experimental demonstration of complete photonic band gap in graphite structure

Gadot, F., Chelnokov, A., de LUSTRAC, A., Crozat, P., Lourtioz, J., Cassagne, D., & Jouanin, C. (1997) · Applied Physics Letters · doi:10.1063/1.119396 · Cited by 42 · see citing works

Diffraction properties of two-dimensional photonic crystals

von Freymann, G., Koch, W., Meisel, D. C., Wegener, M., Diem, M., García‐Martín, A., Pereira, S., Busch, K., Schilling, J., Wehrspohn, R. B., et al. (2003) · Applied Physics Letters · doi:10.1063/1.1596731 · Cited by 38 · see citing works

Analysis for the convergence problem of the plane-wave expansion method for photonic crystals

Shen, L., & He, S. (2002) · Journal of the Optical Society of America A · doi:10.1364/josaa.19.001021 · Cited by 36 · see citing works

A Functional Organic Battery

Nishide, H., Suga, T., & Konishi, H. (2007) · Synfacts · doi:10.1055/s-2007-968652 · Cited by 30 · see citing works

Photonic band gaps in a two-dimensional hybrid triangular-graphite lattice

Martínez, L. J., García‐Martín, A., & Postigo, P. A. (2004) · Optics Express · doi:10.1364/opex.12.005684 · Cited by 25 · see citing works

Optical properties of two-dimensional photonic crystals with graphite structure

Cassagne, D., Jouanin, C., & Bertho, D. (1997) · Applied Physics Letters · doi:10.1063/1.118395 · Cited by 22 · see citing works

Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials

Huang, X., Lai, Y., Hang, Z. H., Zheng, H., & Chan, C. T. (2011) · Nature Materials · doi:10.1038/nmat3030 · Cited by 993 · see citing works

First-principles study of Dirac and Dirac-like cones in phononic and photonic crystals

Mei, J., Wu, Y., Chan, C. T., & Zhang, Z.-Q. (2012) · Physical Review B · doi:10.1103/physrevb.86.035141 · Cited by 314 · see citing works

Proof of the universality of mode symmetries in creating photonic Dirac cones

Sakoda, K. (2012) · Optics Express · doi:10.1364/oe.20.025181 · Cited by 109 · see citing works

Dirac cone in two- and three-dimensional metamaterials

Sakoda, K. (2012) · Optics Express · doi:10.1364/oe.20.003898 · Cited by 108 · see citing works

Phononic thin plates with embedded acoustic black holes

Zhu, H., & Semperlotti, F. (2015) · Physical Review B · doi:10.1103/physrevb.91.104304 · Cited by 99 · see citing works

Dirac Dispersion in Two-Dimensional Photonic Crystals

Chan, C. T., Hang, Z. H., & Huang, X. (2012) · Advances in OptoElectronics · doi:10.1155/2012/313984 · Cited by 86 · see citing works

Double Dirac cones in triangular-lattice metamaterials

Sakoda, K. (2012) · Optics Express · doi:10.1364/oe.20.009925 · Cited by 81 · see citing works

Ballistic charge transport in graphene and light propagation in periodic dielectric structures with metamaterials: A comparative study

Bliokh, Y. P., Freilikher, V., & Nori, F. (2013) · Physical Review B · doi:10.1103/physrevb.87.245134 · Cited by 47 · see citing works

Reconfigurable topological insulator for elastic waves

Darabi, A., & Leamy, M. J. (2019) · The Journal of the Acoustical Society of America · doi:10.1121/1.5114920 · Cited by 46 · see citing works

Selection rule for Dirac-like points in two-dimensional dielectric photonic crystals

Li, Y., Wu, Y., Chen, X., & Mei, J. (2013) · Optics Express · doi:10.1364/oe.21.007699 · Cited by 45 · see citing works

Observation of valley-dependent beams in photonic graphene

Deng, F., Sun, Y., Wang, X., Xue, R., Li, Y., Jiang, H., Shi, Y., Chang, K., & Chen, H. (2014) · Optics Express · doi:10.1364/oe.22.023605 · Cited by 42 · see citing works

DIRAC DISPERSION AND ZERO-INDEX IN TWO DIMENSIONAL AND THREE DIMENSIONAL PHOTONIC AND PHONONIC SYSTEMS

Chan, C.-T., Huang, X., Liu, F., & Hang, Z. H. (2012) · Progress In Electromagnetics Research B · doi:10.2528/pierb12082103 · Cited by 41 · see citing works

Universality of mode symmetries in creating photonic Dirac cones

Sakoda, K. (2012) · Journal of the Optical Society of America B · doi:10.1364/josab.29.002770 · Cited by 39 · see citing works

Giant optical nonlocality near the Dirac point in metal-dielectric multilayer metamaterials

Sun, L., Gao, J., & Yang, X. (2013) · Optics Express · doi:10.1364/oe.21.021542 · Cited by 35 · see citing works

Angular selection of incident waves by photonic crystals with position-varying Dirac points at the Brillouin zone boundary

Xu, C., Fang, A., Chu, H., Luo, J., Chan, C. T., Hang, Z. H., & Lai, Y. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.245116 · Cited by 32 · see citing works

Hermitian and Non-Hermitian Dirac-Like Cones in Photonic and Phononic Structures

Luo, J., & Lai, Y. (2022) · Frontiers in Physics · doi:10.3389/fphy.2022.845624 · Cited by 30 · see citing works

Phase-matched second harmonic generation at the Dirac point of a 2-D photonic crystal

Mattiucci, N., Bloemer, M. J., & D’Aguanno, G. (2014) · Optics Express · doi:10.1364/oe.22.006381 · Cited by 23 · see citing works

On the mapping of Dirac-like cone dispersion in dielectric photonic crystals to an effective zero-index medium

Ashraf, M. W., & Faryad, M. (2016) · Journal of the Optical Society of America B · doi:10.1364/josab.33.001008 · Cited by 22 · see citing works

Full utilization of semi-Dirac cones in photonics

Yasa, U. G., Turduev, M., Giden, İ. H., & Kurt, H. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.195131 · Cited by 21 · see citing works

Double Dirac cones at k = 0 in pinned platonic crystals

Smith, M. J. A., McPhedran, R. C., & Meylan, M. H. (2013) · Waves in Random and Complex Media · doi:10.1080/17455030.2013.862351 · Cited by 17 · see citing works

Dirac dispersion in photonic hypercrystals

Narimanov, E. E. (2014) · Faraday Discussions · doi:10.1039/c4fd00207e · Cited by 20 · see citing works

Transmission properties near Dirac-like point in two-dimensional dielectric photonic crystals

Wang, X., Jiang, H., Yan, C., Deng, F. S., Sun, Y., Li, Y. H., Shi, Y., & Chen, H. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/108/14002 · Cited by 19 · see citing works

Transverse Anderson localization of light near Dirac points of photonic nanostructures

Deng, H., Chen, X., Malomed, B. A., Panoiu, N. C., & Ye, F. (2015) · Scientific Reports · doi:10.1038/srep15585 · Cited by 18 · see citing works

Field localization and enhancement near the Dirac point of a finite defectless photonic crystal

D’Aguanno, G., Mattiucci, N., Conti, C., & Bloemer, M. J. (2013) · Physical Review B · doi:10.1103/physrevb.87.085135 · Cited by 18 · see citing works

Optical properties of honeycomb photonic structures

Sinelnik, A. D., Рыбин, М. В., Lukashenko, S. Y., Лимонов, М. Ф., & Samusev, K. B. (2017) · Physical Review A · doi:10.1103/physreva.95.063837 · Cited by 18 · see citing works

Precise identification of Dirac-like point through a finite photonic crystal square matrix

Dong, G., Zhou, J., Yang, X., & Meng, X. (2016) · Scientific Reports · doi:10.1038/srep36712 · Cited by 16 · see citing works

All-optical bistability and switching near the Dirac point of a 2-D photonic crystal

Mattiucci, N., Bloemer, M. J., & D’Aguanno, G. (2013) · Optics Express · doi:10.1364/oe.21.011862 · Cited by 15 · see citing works

Band engineering method to create Dirac cones of accidental degeneracy in general photonic crystals without symmetry

Chu, H., Zhang, Y., Luo, J., Xu, C., Xiong, X., Peng, R., Wang, M., & Lai, Y. (2021) · Optics Express · doi:10.1364/oe.427389 · Cited by 14 · see citing works

Polarization-dependent continuous change in the propagation direction of Dirac-cone modes in photonic-crystal slabs

Sakoda, K. (2014) · Physical Review A · doi:10.1103/physreva.90.013835 · Cited by 12 · see citing works

Numerical investigation of the flat band Bloch modes in a 2D photonic crystal with Dirac cones

Zhang, P., Fietz, C. R., Tassin, P., Koschny, T., & Soukoulis, C. M. (2015) · Optics Express · doi:10.1364/oe.23.010444 · Cited by 10 · see citing works

Conical wave propagation and diffraction in two-dimensional hexagonally packed granular lattices

Chong, C., Kevrekidis, P. G., Ablowitz, M. J., & Ma, Y.-P. (2016) · Physical review. E · doi:10.1103/physreve.93.012909 · Cited by 9 · see citing works

Dirac Leaky Wave Antennas

Rezaee, S., & Memarian, M. (2018) · International Conference on Millimeter-Wave and Terahertz Technologies (MMWaTT) · doi:10.1109/mmwatt.2018.8661250 · Cited by 9 · see citing works

Experimental observation of wave localization at the Dirac frequency in a two-dimensional photonic crystal microcavity

Hu, L., Xie, K., Hu, Z., Mao, Q., Xia, J., Jiang, H., Zhang, J., Wen, J., & Chen, J. (2018) · Optics Express · doi:10.1364/oe.26.008213 · Cited by 9 · see citing works

Analytical study of mode degeneracy in non-Hermitian photonic crystals with TM-like polarization

Yin, X., Liang, Y., Ni, L., Wang, Z., Peng, C., & Li, Z. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.075111 · Cited by 9 · see citing works

Orientation-dependent two-dimensional magnonic crystal modes in an ultralow-damping ferrimagnetic waveguide containing repositioned hexagonal lattices of Cu disks

Mori, K., Koguchi, T., Watanabe, T., Yoshihara, Y., Miyashita, H., Grundler, D., Inoue, M., Ishiyama, K., & Goto, T. (2024) · Physical Review Applied · doi:10.1103/physrevapplied.21.014061 · Cited by 7 · see citing works

Dirac-like cones at k=0

Huang, X., & Chan, C. T. (2015) · Acta Physica Sinica · doi:10.7498/aps.64.184208 · Cited by 6 · see citing works

Photonic band structures in one-dimensional photonic crystals containing Dirac materials

Wang, L., & Wang, L.-G. (2015) · Physics Letters A · doi:10.1016/j.physleta.2015.05.015 · Cited by 7 · see citing works

Directional emission of the edge states from the photonic topological structure composed of two-dimensional honeycomb photonic crystals

Hajivandi, J., Holcomb, M. B., & Kurt, H. (2021) · Journal of Optics · doi:10.1007/s12596-021-00712-z · Cited by 5 · see citing works

Effective method to identify and verify the Dirac-like point through finite photonic crystals with triangular lattice

Li, Z. F., Dong, G., Yang, X., Meng, X., & Bi, K. (2017) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/118/14003 · Cited by 3 · see citing works

Interaction of the Dirac Electron Located in a Potential Well with a Plane Wave Field

Kazak, A., Mendygulov, Y. D., Oleinikov, N. N., & Alexandrova, E. V. (2020) · International Conference "Quality Management, Transport and Information Security, Information Technologies" (IT&QM&IS) · doi:10.1109/itqmis51053.2020.9322948 · Cited by 3 · see citing works

Self-Assembled Honeycomb Lattices of Dielectric Colloidal Nanospheres Featuring Photonic Dirac Cones

Kim, Y., Wong, S., Seo, C., Yoon, J. H., Choi, G. H., Olthaus, J., Reiter, D. E., Kim, J., Yoo, P. J., Kim, T.-T., et al. (2022) · ACS Applied Nano Materials · doi:10.1021/acsanm.1c03986 · Cited by 3 · see citing works

Modern Trends in Metamaterial Applications

Rukhlenko, I. D., Belov, P. A., Litchinitser, N. M., & Boltasseva, A. E. (2012) · Advances in OptoElectronics · doi:10.1155/2012/514270 · Cited by 2 · see citing works

Zero phase delay in metamaterials

Zhou, J. H., Bi, K., & Dong, G. (2014) · Zhongguo kexue. Wulixue Lixue Tianwenxue · doi:10.1360/sspma2013-00081 · Cited by 2 · see citing works

Generations of Dirac cones with fractal quantum frequencies in the two-dimensional optical waveguide networks

Xiaohui, X., Yang, X., & Zhi, Y. (2026) · Optics Express · doi:10.1364/oe.587245 · Cited by 1 · see citing works

Photonic Zitterbewegung effect: Asymmetric spatio-temporal filtering near the Dirac point

Ling, X., Tang, Z., & Chen, L. (2014) · Optics Communications · doi:10.1016/j.optcom.2014.01.073 · Cited by 1 · see citing works

Acoustic Metamaterials with Conical Dispersions

Huang, X., Xiao, M., Chan, C. T., & Liu, F. (2017) · World Scientific series in nanoscience and nanotechnology/World scientific series in nanoscience and nanotechnology · doi:10.1142/9789813228702_0013 · Cited by 1 · see citing works

Principle and Application of Photonic Dirac Cones

Sakoda, K. (2016) · The Review of Laser Engineering · doi:10.2184/lsj.44.1_21

Dirac points in helically structured 1D photonic crystalsPreprint

Gevorgyan, A. H. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2111.05025

Integrated Photonics with Near-Zero Index Materials

Vertchenko, L., & Lavrinenko, A. V. (2023) · Springer eBooks · doi:10.1007/978-3-031-24617-3_13

Tunable wave localization at the Dirac frequency in a metallic photonic crystal cavity

Hu, L., Wang, E., Xia, J., Du, W., Qu, G., Wang, Y., Li, S., Xu, F. Y., Liu, Y., Yu, B., et al. (2024) · Optics Express · doi:10.1364/oe.525384

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(2016)

Transmission properties near Dirac-like point in two-dimensional dielectric photonic crystals

Wang, X., Jiang, H., Yan, C., Deng, F. S., Sun, Y., Li, Y. H., Shi, Y., & Chen, H. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/108/14002 · Cited by 19 · see citing works

Extremal transmission at the Dirac point of a photonic band structure

Sepkhanov, R. A., Bazaliy, Y. B., & Beenakker, C. W. J. (2007) · Physical Review A · doi:10.1103/physreva.75.063813 · Cited by 250 · see citing works

Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure

Sepkhanov, R. A., & Beenakker, C. W. J. (2008) · Optics Communications · doi:10.1016/j.optcom.2008.07.017 · Cited by 20 · see citing works

Effective method to identify and verify the Dirac-like point through finite photonic crystals with triangular lattice

Li, Z. F., Dong, G., Yang, X., Meng, X., & Bi, K. (2017) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/118/14003 · Cited by 3 · see citing works