Abstract
Most predictions of direct modulation response behavior of laser diodes are derived from a small-signal analysis of the spatially averaged rate equations 1.19 and 1.20. This approach involves the assumption that the laser diode is driven by a “small” sinusoidal current at frequency ω, superimposed on a DC bias current: \(J(t) = {J}_{0} + j(\omega )\exp (\mathrm{i}\omega t)\). The photon and electron density variables, n and p, are assumed to similarly consist of a “steady-state” part, and a “small” time-varying part: \(n(t) = {n}_{0} + n(t)\); \(p(t) = {p}_{0} + p(t)\).
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Notes
- 1.
These simple results have assumed the following normalization of the parameters – N is normalized by (1 ∕ Aτ p ); P by (1 ∕ Aτ s ); t by τ s and J by ed ∕ (Aτ s τ p ), in addition to ignoring the fact that the electron density must reach a certain value before the laser medium experiences positive optical gain. It is a simple matter to add a constant to the result above for the steady-state value of the electron density to account for this fact.
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© 2011 Springer-Verlag Berlin Heidelberg
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Lau, K.Y. (2011). Basic “Small-Signal” Modulation Response. In: Ultra-high Frequency Linear Fiber Optic Systems. Springer Series in Optical Sciences, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16458-3_2
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DOI: https://doi.org/10.1007/978-3-642-16458-3_2
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