2009
DOI: 10.2528/pierb09091701
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Photonic Bandgaps in Quasiperiodic Multilayer Structures Using Fourier Transform of the Refractive Index Profile

Abstract: Abstract-In this paper, photonic bandgaps (PBGs) of the quasiperiodic structures is calculated using the Fourier transform of the refractive index profile. Comparing the reflectivity and Fourier spectrum of multilayer structure refractive index, we find that a peak in the Fourier spectrum is equivalent to a sinusoidal term in the refractive index. The wavelength of the peak location in the Fourier spectrum is half the wavelength where a PBG is located. Using Fourier transform analysis of the refractive index o… Show more

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Cited by 8 publications
(4 citation statements)
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“…In addition, Eq. (12) shows that the peak height and the peak wavelength are independent of the stack number N . The effects of N are to narrow the peak shape and to make the band edges more sharp as N increases.…”
Section: Defect Modes In Asymmetric Pcmentioning
confidence: 99%
See 1 more Smart Citation
“…In addition, Eq. (12) shows that the peak height and the peak wavelength are independent of the stack number N . The effects of N are to narrow the peak shape and to make the band edges more sharp as N increases.…”
Section: Defect Modes In Asymmetric Pcmentioning
confidence: 99%
“…Such a layered structure is usually designed to serve as a dielectric mirror (also known as a Bragg reflector) which plays an important part in many modern photonic systems [1][2][3][4]. A periodic bilayer system is now known as one-dimensional photonic crystal (1DPC), which has been a hot topic in optical physics over the past two decades [5][6][7][8][9][10][11][12][13][14][15][16]. In a PC, there will be photonic band gaps (PBGs) created due to the spatial periodicity.…”
Section: Introductionmentioning
confidence: 99%
“…The current interest paid to multilayered structures (in connection to its fabrication, and applications concerning superconductivity, skin effect, eddy currents, and photonic metamaterial structures) is witnessed in recent publications [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Nonetheless, the research topic on multilayered radially inhomogeneous cylindrical structures has received scarce attention.…”
Section: Introductionmentioning
confidence: 99%
“…The photonic band gaps of these structures provide a way to control the propagation of light within a range of frequency [2][3][4][5][6][7][8][9][10][11], for example, an omnidirectional reflector has been demonstrated using one-dimensional periodic dielectric materials [5,6,[12][13][14].…”
Section: Introductionmentioning
confidence: 99%