Abstract
A binary island kind photonic crystal resonator is investigated analytically and numerically in the framework of standing wave expansion method. The photonic energy distribution and bandgap structure for the finite SiO2/SiO2 resonator with rectangular elementary cell of micron sizes are first calculated. The classification concept of resonator’s modes is proposed. It is concluded that depending on the structure three types of local states of electromagnetic field exist inside the resonator besides the transmitted standing waves: intrinsic, surface and edge states. The field distribution inside the resonator is calculated, and ways of use the island resonators in optical devices are discussed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Glushko EY, Glushko OE, Karachevtseva LA (2012) Photonic Eigenmodes in a photonic crystal membrane. ISRN Optics 2012:Article ID 373968:6p. doi:10.5402/2012/373968
Yablonovich E (1987) Inhibited spontaneous emission in solid state physics and electronics. Phys Rev Let 58:2059
John S, Joannopoulos D, Johnson SG, Winn JN, Meade RD (2008) Photonic crystals: molding the flow of light, 2nd edn. Princeton University Press, Princeton
Sakoda K (2001) Optical properties of photonic crystals. Springer, Berlin
Winn NY, Fink S, Fan Y, Joannopoulos JD (1998) Omnidirectional reflection from a one-dimensional photonic crystal. Opt Lett 23:1573–1575
Deopura M, Ullal CK, Temelkuran B, Fink Y (2001) Dielectric omnidirectional visible reflector. Opt Lett 26:1197–1199
Loncar M, Doll T, Vuchkovich J, Scherer A (2000) Design and fabrication of silicon photonic crystal optical waveguides. J Lightwave Technol 18:1402–1411
Jamois C, Wehrspohn RB, Andreani LC, Hermann C, Hess O, Gosele U (2003) Silicon-based two-dimensional photonic crystal waveguides. Photonics Nanostruct Fundam Appl 1:1–13
Glushko EY, Glushko AE, Karachevtseva LA (2010) Photonic membranes and photonic crystal resonators for all-optical signal processing. Proc SPIE 7713:77131D
Glushko EY (2014) Influence of oxidation on the spectrum of a ternary comb-like silicon photonic crystal: intrinsic modes, reflection windows and intrinsic contrastivity. Eur Phys J D 68:264
Glushko EY, Glushko AE, Evteev VN, Stepanyuk AN (2008) Electromagnetic eigenwaves in metastructures: perturbation theory method. Proc. SPIE. 6888:69880J–69880J-11
Courant R, Hilbert D (1953) Methods of mathematical Physics, vol 1. Interscience, New York
Gladwell GML, Zhu H (2002) Courant’s nodal line theorem and its discrete counterparts. Q J Mech Appl Math 55(1):1–15
Orfanidis SJ Electromagnetic waves and antennas, Chapter 9. Online book: http://eceweb1.rutgers.edu/~orfanidi/ewa/ch09.pdf
Oron R, Davidson N, Friesem AA (2001) Transverse mode shaping and selection in laser resonators. In: Wolf E (ed) Progress in optics 42. Elsevier Science, Burlington
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Glushko, E.Y., Stepanyuk, A.N. (2017). Electromagnetic Modes Inside the Island Kind 2D Photonic Crystal Resonator. In: Fesenko, O., Yatsenko, L. (eds) Nanophysics, Nanomaterials, Interface Studies, and Applications . NANO 2016. Springer Proceedings in Physics, vol 195. Springer, Cham. https://doi.org/10.1007/978-3-319-56422-7_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-56422-7_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56244-5
Online ISBN: 978-3-319-56422-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)