Abstract
Among many unusual and interesting physical properties of photonic crystals (PhC), in recent years, the propagation of surface electromagnetic waves along dielectric PhC boundaries have attracted considerable attention, also in connection to their possible applications. Such surfaces states, produced with the help of specialized defects on PhC boundaries, similarly to surfaces plasmons, are localized surfaces waves and, as such, can be used in various sensing applications. In this contribution, we present our recent studies on numerical modelling of surface states (SS) for all three cases of PhC dimensionality. Simulations of these states were carried out by the use of plane wave expansion (PWE) method via the MIT MPB package.
Highlights
Since their proposal in 1987 [1], photonic crystals (PhC) or photonic band gap (PBG) structures [1,2,3,4], still represent very interesting and promising structures of artificial origin
We have presented our new results on the theoretical simulations of surface states as localized states in the presence of a special defect at a PhC boundary, i.e. the termination of the last PhC period
Our simulation results were based on the plane wave expansion method
Summary
Since their proposal in 1987 [1], photonic crystals (PhC) or photonic band gap (PBG) structures [1,2,3,4], still represent very interesting and promising structures of artificial origin Their main characteristics are given by spatially periodic variations of dielectric constant enabling in a sense such physical properties for light interactions as are exhibited by electrons in semiconductors. Another type of defects can exists in ideal crystals, this defect is given by a finite size of a crystal and can, under some conditions, lead to the excitation of a surfaces state (SS) propagating along the interface between a crystal and air (or more generally, background medium) [5,6,7,8,9], as a result of the interaction of PhC Bloch modes and outer plane wave modes.
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