Numerical Analysis of Erbium-Doped Optical Fiber Amplifiers

Abstract

A theoretical model of rare earth doped fiber amplifiers is presented, which takes into account the combined effects of modal structure of the fields propagating into the guide and dopant concentration distribution. From it the realistic evolution along the fiber of pump, signal and amplified spontaneous emission, local pump absorption and signal amplification coefficients, population inversion, spontaneous emission factor and amplifier noise figure can be obtained. The effectiveness of the model is demonstrated by analysing and discussing the performance of several fiber amplifiers.

A semiclassical model for noise propagation in depleted-pump optical amplifiers

“…For each element, the gain can be obtained as the ratio of the output to the input power (6) and for an amplifier section of length at a distance from the input, the expression of the average signal photon number and its variance are thus 7) (8In these equations, and the Fano factor is given by . Then, we can calculate the noise figure along the fiber as (9) where . Equation (8) can be integrated numerically on small but finite sections of the fiber, by calculating at each step from (5), (6), and using for the value obtained at the previous step.…”

Tunable Erbium-doped Silica Fiber Ring Laser Source: Design and Realization

“…The gain performance of the erbium-doped fiber is determined by a number of factors including host glass composition, dopant confinement, pump and signal wavelength, background loss, cut-off wavelength (λ«,) and numerical aperture (NA) [10]. A careful choice of these parameters is necessary to design a highly efficient erbium-doped fiber.…”

A Unified Method for Design and Analysis of Analog/Digital Fiber Optic Communication Links

“…In a typical analog FOC system, several linear devices supplied by different manufacturers are often cascaded to form an overall communication system [2,3]. The performance of the whole system usually depends on the MDS which from (1), is seen to relate to both noise figure and system bandwidth.…”

“…PTR · G TF · G FF · G cc · G FD · G DA · G BU (Watt) (2) where S 0 is the outgoing power signal of the whole system, P T is the transmitter power, G DA and G BU are the detector/amplifier and digital reconstructing buffer power gains, R x is the optical/electrical units trans-/ A\ duction coefficient (TTT· G TF , G FF , G cc and G FD are related to system insertion losses L JK through the following equations:…”