Curie’s Symmetry Principle for Selection Rule of Photonic Crystal Defect Modes
- 209 Downloads
Symmetry, which defines invariant properties under a group of transformations, provides a frame of generalization uncovering regularities from given quantitative descriptions. Based on the Curie’s symmetry principle, connecting between causality and symmetry, we formulate the intuitive but formal selection rules and apply to determine the excitable resonant modes of a photonic crystal defect cavity, which is an important element for plasmonic applications. Quantitative agreement with the numerical simulations demonstrates the effectiveness of the fundamental principle in finding the critical symmetry conditions for the available localized defect states within photonic crystals. Moreover, the principle facilitates analysis of the higher-order or even forbidden modes in the asymmetric excitation configurations regarding the polarizations or positions of the light source, which typically require heavy computations. Our results may be extended similarly to develop the qualitative selection rules in other physical systems with a geometric symmetry.
KeywordsPhotonic crystal Selection rule Localized modes Curie’s Symmetry Principle
- 2.Brading K, Castellani E (2003) Symmetries in physics. Symmetries in Physics, Edited by Katherine Brading and Elena Castellani, pp 458 ISBN 0521821371 Cambridge. Cambridge University Press, UK, p 1Google Scholar
- 19.Chhipa MK, Rewar E (2014) Effect of variable dielectric constant of Si material rods on 2-D photonic crystal ring resonator based channel drop filter for ITU. T. 694.2 CWDM system 2014 International Conference on Computer and Communication Technology (ICCCT). IEEE, , pp 257–262. doi: 10.1109/ICCCT.2014.7001501