2007
DOI: 10.1007/s11082-007-9095-3
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Spatial and frequency domain effects of defects in 1D photonic crystal

Abstract: The aim of this paper is to present the analysis of influence of defects in 1D photonic crystal (PC) on the density of states and simultaneously spontaneous emission, in both spatial and frequency domains. In our investigations we use an analytic model of 1D PC with defects. Our analysis reveals how presence of a defect causes a defect mode to appear. We show that a defect in 1D PC has local character, being negligible in regions of PC situated far from the defected elementary cell. We also analyze the effect … Show more

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Cited by 6 publications
(8 citation statements)
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“…Optical defect states can be used to dramatically alter the spectral characteristics of photonic band gap materials. [60][61][62][63][64] In our case we disrupted the periodicity of the stack structure by introducing a thicker SiO 2 multilayer stack in the center as shown in the cross-sectional TEM image in Fig. 8a.…”
Section: Assembly and Characterization Of Multiple Stacksmentioning
confidence: 99%
“…Optical defect states can be used to dramatically alter the spectral characteristics of photonic band gap materials. [60][61][62][63][64] In our case we disrupted the periodicity of the stack structure by introducing a thicker SiO 2 multilayer stack in the center as shown in the cross-sectional TEM image in Fig. 8a.…”
Section: Assembly and Characterization Of Multiple Stacksmentioning
confidence: 99%
“…If a plane-wave with wave vector k and polarization ǫ is excited inside the resonator, then there appears a series of reflected plane-waves, and the resulting electromagnetic field of the resonator's mode is their superposition, determined by the amplitude of effective plane-wave component with wave vector k and polarization ǫ, which allows to describe the properties of the structure ( [12], [13]). The explicit expression for the electric field distribution of the mode in the layer is ( [14]):…”
Section: Effective Resonator Modelmentioning
confidence: 99%
“…In particular, it reveals locations of photonic band gaps, for which the existence of electromagnetic field inside the photonic crystal is prohibited (in case of a photonic crystal built of a finite number of layers this is not strictly possible, because a part of electromagnetic field always leaks out of the photonic crystal, however, electromagnetic field can be strongly extinguished, indeed). This function can be used to analyze not only a perfect photonic crystal, but also with an intentionally created defect ( [13]) or -as it is done in this paper -with multiple, random defects of layer thickness.…”
Section: Effective Resonator Modelmentioning
confidence: 99%
“…In the previous papers [1][2][3][4] the model has been proposed and its physical background and interpretation [1,2,5], as well as orthonormalization of modes [3,4] have been described. However, there remain a few aspects of the model, which require a rigorous treatment or explanation.…”
Section: Introductionmentioning
confidence: 99%