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IEEE Journal of Quantum Electronics

Erbium-Doped-Silica Photonic Crystal Fiber Characterization Method: Description and Experimental Check

J. A. Sánchez-Martín, M. Á. Rebolledo, José Miguel Álvarez, Juan Antonio Vallés, Antonio Diez, Miguel Vicente Andrés

Published Apr 9, 2010• 12 citations

Abstract

The present paper reports and discusses a characterization method for erbium-doped-silica photonic crystal fibers based on the measurement of pump power attenuation and gain together with the McCumber theory. The absorption and emission cross sections and the passive losses of the fiber were obtained from a fitting procedure of theoretical to experimental values. The method was checked by means of a home-made photonic crystal fiber to verify its reliability. Finally, it was found that the characteristic parameters obtained by this method can be used to accurately simulate the performance of the fiber and therefore to design devices based on it.

DOI: 10.1109/jqe.2010.2044019

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The present paper reports and discusses a characterization method for erbium-doped-silica photonic crystal fibers based on the measurement of pump power attenuation and gain together with the McCumber theory. The absorption and emission cross sections and the passive losses of the fiber were obtained from a fitting procedure of theoretical to experimental values. The method was checked by means of a home-made photonic crystal fiber to verify its reliability. Finally, it was found that the characteristic parameters obtained by this method can be used to accurately simulate the performance of the fiber and therefore to design devices based on it.

The method for estimating the gain coefficient spectrum of an erbium-doped fiber (EDF) is proposed and demonstrated experimentally. The method employs a net gain-loss measurement that uses the 4I(13/2) level pumping of the EDF and the McCumber relation. A formula used to obtain the quotient of the gain and loss coefficient from the net gain-loss measurement is derived to determine the parameter in the McCumber relation. It is confirmed that the gain coefficient spectrum of an EDF estimated with the method coincides with the value estimated using a conventional net gain-loss measurement that employs the 4I(11/2) level pumping. The method is successfully applied to an erbium/ytterbium-doped fiber, for which it is impossible to perform a conventional net gain-loss measurement with pumping at the 4I(11/2) level of erbium ions because of the absorption transition of ytterbium ions from 2F(7/2) to 2F(5/2) levels.

Measurements of time evolution of amplified spontaneous emission for square-wave modulated pump were made on a highly erbium-doped silica photonic crystal fiber and fitted to theoretical results calculated using different formalisms to describe the

{\rm Er}^{3+}

-ion migration-assisted co-operative upconversion mechanism in the population densities rate equations. The determined characterization parameters are the constant homogeneous upconversion coefficient, 3.0

\times 10^{-24}~{\rm m}^{3}/{\rm s}

, the critical radii for upconversion and migration, 10.5 and 14Å, respectively, and the rate of clustered ions, 14%. These parameters are analysed and compared to those obtained with continuous-wave pump characterization techniques. Although similar values are obtainable for many parameters using steady-state and dynamic characterization techniques, if a careful enough modelling is carried out, dynamic techniques are preferable to assess the presence of pair-induced quenching.

We report the study of the excited-state absorption (ESA) spectrum of Er3+ in erbium-doped silica fiber (EF) within the telecom band, 1.48–1.59μm. Two experimental techniques, the detection of up-conversion emission following the ESA process and the measurement of the EF nonlinear transmission coefficient, both supplied with a theoretical background, allow obtaining a mutually consistent spectral behavior of the ESA parameter, which is the ratio of ESA to ground-state absorption cross section, at 1.48–1.59μm excitation.

A method for the measurement of the quotient of the emission and absorption cross section of erbium-doped fibers is presented which utilizes the spontaneous emission perpendicular to the fiber axis. The maximum population of the first excited state achievable through illumination by signal light (/spl lambda//sub s/=1530 nm) is fixed by the quotient of the absorption and the emission cross section. This fact is used to determine the desired quotient. First measurements show that this method is very simple and highly accurate.>