2002
DOI: 10.1364/josaa.19.001855
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Optical fiber Bragg gratings Part II Modeling of finite-length gratings and grating arrays

Abstract: A model of both uniform finite-length optical fiber Bragg gratings and grating arrays is presented. The model is based on the Floquet-Bloch formalism and allows rigorous investigation of all the physical aspects in either single- or multiple-periodic structures realized on the core of a monomodal fiber. Analytical expressions of reflectivity and transmittivity for both single gratings and grating arrays are derived. The influence of the grating length and the index modulation amplitude on the reflected and tra… Show more

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Cited by 8 publications
(8 citation statements)
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“…If o n is the average refractive index of the structure and Λ is the grating period, the refractive index inside the periodic perturbation can be expressed as [32]:…”
Section: Floquet-bloch Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…If o n is the average refractive index of the structure and Λ is the grating period, the refractive index inside the periodic perturbation can be expressed as [32]:…”
Section: Floquet-bloch Theorymentioning
confidence: 99%
“…In this paper the rigorous method based on the Floquet-Bloch theory (FBT) is applied for the first time to calculate the reflectivity of VCSEL DBRs. This method has already been presented in literature to investigate a number of devices, such as grating-assisted directional couplers [30] and fiber Bragg gratings [31][32]. Floquet-Bloch method provides accurate results because it calculates the grating spectrum by considering the leaky modes really travelling in the periodic region, and also takes into account the scattering losses occurring inside the periodic structure.…”
Section: Introductionmentioning
confidence: 99%
“…The Floquet-Bloch theory, applied by the Authors before to analyze 1D periodic structures on planar waveguide [3,4] and after to study the physical properties of optical fiber Bragg gratings [5,6], allows to perform fast investigations and the results are more accurate than those obtained from other numerical methods already compared in a previous work [3]. The numerical approach based on the Floquet-Bloch theory has next been extended to analyze two-dimensional multilayer photonic bandgap structures with a typical triangular or square lattice [7], where the physical features of the investigated devices, working at microwave or optical frequency range, can be optimized in terms of band structure.…”
Section: Introductionmentioning
confidence: 99%
“…The FBG is one of the most thoroughly studied optical fiber components in the literature. A plethora of experimental methods for their fabrication [1][2][3][4][5] and theoretical treatment of calculation of the spectra [6][7][8][9][10] has been published since the development of the side-inscription method by Meltz et al 11 However, the majority of works use the assumption that the propagation of light in the grating is described entirely by forward and backward propagation of the fundamental transverse mode of the host optical fiber. 12 That assumption implies ideal lossless behavior and neglects the impairment of coupling to cladding and radiation modes.…”
Section: Introductionmentioning
confidence: 99%