“…In what follows, we present results for determining three major classes of refractive index proles that are of practical interest: step-index, gradedindex, and W-refractive index proles [56][58], [60], [84].…”
Section: Illustrative Numerical Resultsmentioning
confidence: 99%
“…Note that the set N 1 encompasses all refractive index proles encountered in practical applications [57][58], [60].…”
Section: Nomenclature and Assumptionsmentioning
confidence: 99%
“…N P is typically between 2 and 4, for most refractive index proles of practical interest [60], [56] [58]. Note that the numerical results reported in [54] were obtained with N P = 2 and 3 only.…”
Section: Parametrizationmentioning
confidence: 99%
“…Next, we consider a third class of refractive index proles, namely the Wrefractive index proles, that is important to many applications [56][58], [60]. This class of proles is very eective for reducing the modal dispersion eect and for enhancing the bandwidth performance of the optical bers [60].…”
Section: Retrieving W-shaped Refractive Index Prolesmentioning
confidence: 99%
“…This class of proles is very eective for reducing the modal dispersion eect and for enhancing the bandwidth performance of the optical bers [60]. This class of proles is given by the following power law [60]:…”
Section: Retrieving W-shaped Refractive Index Prolesmentioning
We analyze mathematically the problem of determining refractive index proles from some desired/measured guided waves propagating in optical bers. We establish the uniqueness of the solution of this inverse spectral problem assuming that only one guided mode is known. We then propose an iterative computational procedure for solving numerically the considered inverse spectral problem. Numerical results are presented to illustrate the potential of * corresponding author: rabia.djellouli@csun.edu 1 the proposed regularized Newton algorithm to eciently and accurately retrieve the refractive index proles even when the guided mode measurements are highly noisy.
“…In what follows, we present results for determining three major classes of refractive index proles that are of practical interest: step-index, gradedindex, and W-refractive index proles [56][58], [60], [84].…”
Section: Illustrative Numerical Resultsmentioning
confidence: 99%
“…Note that the set N 1 encompasses all refractive index proles encountered in practical applications [57][58], [60].…”
Section: Nomenclature and Assumptionsmentioning
confidence: 99%
“…N P is typically between 2 and 4, for most refractive index proles of practical interest [60], [56] [58]. Note that the numerical results reported in [54] were obtained with N P = 2 and 3 only.…”
Section: Parametrizationmentioning
confidence: 99%
“…Next, we consider a third class of refractive index proles, namely the Wrefractive index proles, that is important to many applications [56][58], [60]. This class of proles is very eective for reducing the modal dispersion eect and for enhancing the bandwidth performance of the optical bers [60].…”
Section: Retrieving W-shaped Refractive Index Prolesmentioning
confidence: 99%
“…This class of proles is very eective for reducing the modal dispersion eect and for enhancing the bandwidth performance of the optical bers [60]. This class of proles is given by the following power law [60]:…”
Section: Retrieving W-shaped Refractive Index Prolesmentioning
We analyze mathematically the problem of determining refractive index proles from some desired/measured guided waves propagating in optical bers. We establish the uniqueness of the solution of this inverse spectral problem assuming that only one guided mode is known. We then propose an iterative computational procedure for solving numerically the considered inverse spectral problem. Numerical results are presented to illustrate the potential of * corresponding author: rabia.djellouli@csun.edu 1 the proposed regularized Newton algorithm to eciently and accurately retrieve the refractive index proles even when the guided mode measurements are highly noisy.
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