EDFA Simulator: Erbium-Doped Fiber Amplifier Gain & Noise Figure

simulator advanced ~15 min
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Gain = 22.5 dB — NF = 5.1 dB, output power = 7.5 dBm

A 10 m erbium-doped fiber pumped at 100 mW amplifies a -15 dBm signal at 1550 nm to 7.5 dBm with 22.5 dB gain and 5.1 dB noise figure — typical inline amplifier performance.

Formula

G(dB) = 10 × log10(P_out / P_in)
NF = 2 × n_sp × (1 - 1/G) + 1/G
P_ASE = 2 × n_sp × (G - 1) × hν × Δν

Amplifying Light with Light

The erbium-doped fiber amplifier is arguably the most important invention in telecommunications since the laser itself. By doping a short length of silica fiber with erbium ions and pumping it with a semiconductor laser, engineers created an all-optical amplifier operating right at the 1550 nm minimum-loss wavelength of telecom fiber. EDFAs amplify all wavelength channels simultaneously, making modern WDM networks possible.

Population Inversion and Gain

Erbium ions in glass form a three-level laser system. A 980 nm pump excites ions from the ground state to a short-lived upper level, which rapidly relaxes to a metastable level with a lifetime of about 10 ms. Signal photons at 1530-1565 nm stimulate these excited ions to emit coherent copies — the gain mechanism. The gain depends on pump power, fiber length, erbium concentration, and signal wavelength.

Noise Figure and ASE

Not all photons emitted by excited erbium ions are stimulated by the signal. Some are emitted spontaneously in random directions and wavelengths. Those that happen to fall within the guided mode become amplified spontaneous emission (ASE) — broadband noise that degrades signal quality. The noise figure, defined as the input SNR divided by the output SNR, has a quantum limit of 3 dB. This simulation computes the noise figure from the population inversion parameter.

Interactive Gain Spectrum

This visualization shows the EDFA gain spectrum across the C-band, with your selected signal wavelength highlighted. Adjust pump power to see gain increase and saturate; change signal wavelength to explore the non-flat gain profile; vary EDF length to find the optimum between gain and ASE. The energy level diagram animates the pump-absorb-emit cycle in real time.

FAQ

How does an EDFA work?

An EDFA uses a length of optical fiber doped with erbium (Er3+) ions. A 980 nm or 1480 nm pump laser excites erbium ions to a metastable state. When a 1550 nm signal photon passes through, it stimulates the excited ions to emit identical photons — amplifying the signal. This all-optical amplification avoids costly optical-to-electrical conversion.

What is noise figure in an optical amplifier?

Noise figure quantifies the signal-to-noise ratio degradation introduced by the amplifier. It arises from amplified spontaneous emission (ASE) — photons emitted randomly by excited erbium ions. The quantum limit is 3 dB (a factor of 2). Practical EDFAs achieve 4-6 dB.

What determines EDFA gain bandwidth?

The gain spectrum is set by the erbium ion emission cross-section in silica glass, spanning roughly 1525-1565 nm (C-band). The shape is not flat — gain-flattening filters equalise it for WDM applications. Extended L-band EDFAs cover 1565-1610 nm with longer fiber and higher pump power.

Why was the EDFA revolutionary?

Before EDFAs (invented 1987, commercialised early 1990s), long-haul fiber links needed electronic regenerators every 40-80 km — each one an expensive bottleneck. EDFAs amplify all WDM channels simultaneously in the optical domain, enabling transoceanic links with amplifier spacing of 50-100 km and ushering in the WDM capacity explosion.

Sources

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