2012
DOI: 10.2528/pier12020109
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Influence of Fluctuations of the Geometrical Parameters on the Photonic Band Gaps in One-Dimensional Photonic Crystals

Abstract: Abstract-The influence of random fluctuations in the layer thicknesses in high contrast, one-dimensional Photonic Crystals (PCs) on the transmission spectra and Photonic Band Gaps (PBGs) is investigated. The change in the PBGs depends on the magnitude of the fluctuations and increases with an increase in the order of the PBG. Introducing thickness non-uniformity into the PC of up to 0.004 times the value of lattice constant for different types of fluctuation distributions has a negligible effect on either the … Show more

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Cited by 13 publications
(9 citation statements)
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“…It is worth noting that, in this system, practically the entire range of filling fractions can be achieved technologically. The advantages of the gap map approach have been demonstrated in our previous studies, looking at the design of a variety of one-dimensional (1D) PCs, including disordered [17], composite [18], omnidirectional [19], threecomponent [20] and resonator [21] structures.…”
Section: Calculation Of Reflection Spectra Of 1d Pc Using a Model Incmentioning
confidence: 99%
See 1 more Smart Citation
“…It is worth noting that, in this system, practically the entire range of filling fractions can be achieved technologically. The advantages of the gap map approach have been demonstrated in our previous studies, looking at the design of a variety of one-dimensional (1D) PCs, including disordered [17], composite [18], omnidirectional [19], threecomponent [20] and resonator [21] structures.…”
Section: Calculation Of Reflection Spectra Of 1d Pc Using a Model Incmentioning
confidence: 99%
“…The first 1D "Si-air" photonic crystal selected had 6 periods, a lattice constant of a = 4 µm and a sufficiently large filling fraction, f Si = 0.6, to minimize any possible impact of thickness inhomogeneities in the Si walls [17]. Fig.…”
Section: Experimental Evaluation Of the Influen-ce Of The Convergencementioning
confidence: 99%
“…One-dimensional photonic crystals are generally constituted by alternatively layered structure [20][21][22][23][24][25][26] and n 1 , as illustrated in Fig. 1(a).…”
Section: Principles and Modellingmentioning
confidence: 99%
“…Our analysis is made by the transmittance which can be calculated by making use of the transfer matrix method (TMM) [22]. The TMM has been widely used in the analysis of electromagnetic wave properties in 1D PCs [23][24][25][26][27]. We shall show how the transmission peak (channel wavelength) will be shifted by the variation of doping density, the defect thickness, and the angle of incidence for both TE and TM waves.…”
Section: Introductionmentioning
confidence: 99%