Spatiotemporal dynamics and high-frequency self-pulsations in two-section distributed feedback lasers

Xinhong Wang; Guifang Li; Jin Hong; Stephen A. Pappert

doi:10.1364/JOSAB.16.002030

Journal of the Optical Society of America B
Vol. 16,
Issue 11,
pp. 2030-2039
(1999)
•https://doi.org/10.1364/JOSAB.16.002030

Spatiotemporal dynamics and high-frequency self-pulsations in two-section distributed feedback lasers

Xinhong Wang, Guifang Li, Jin Hong, and Stephen A. Pappert

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Xinhong Wang, Guifang Li, Jin Hong, and Stephen A. Pappert, "Spatiotemporal dynamics and high-frequency self-pulsations in two-section distributed feedback lasers," J. Opt. Soc. Am. B 16, 2030-2039 (1999)

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Abstract

We present a traveling-wave large-signal simulation of the spatiotemporal dynamics of two-section distributed feedback lasers, emphasizing the self-pulsation phenomenon. For index-coupled lasers, self-pulsation is a result of the interaction of two modes, each spatially confined primarily to one section. For partially gain-coupled lasers, self-pulsation is a result of the interaction of two modes, one that is spatially confined primarily to one section and another that belongs to both sections. The self-pulsation frequency-tuning range and the modulation index of partially gain-coupled lasers are found to be substantially larger than those of index-coupled lasers. Experimentally, self-pulsation with a frequency-tuning range from 20 to 60 GHz in two-section partially gain-coupled distributed-feedback lasers has been characterized in the electrical domain. The noise of self-pulsation was reduced experimentally by optical feedback.

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Abbreviation	Parameter	Value
$τ_{s}$	Carrier lifetime	1.25 ns
$g_{s}$	Differential gain	$1.6 \times 10^{- 16} {cm}^{2}$
$V_{s}$	Volume	$1.215 \times 10^{- 14} {cm}^{3}$
$N_{0 s}$	Carrier density at transparency	$2.1 \times 10^{18} {cm}^{- 3}$
$ν_{s}$	Group velocity	$(3 \times 10^{10} / 3.7)$ cm/s
$Γ_{s}$	Optical loss coefficient	40 ${cm}^{- 1}$
$r_{s}$	Facet reflectivity	$10^{- 6}$
$l_{s}$	Section length	300 µm
$Δ β_{a}$	Bragg detuning	-150 ∼ -354 ${cm}^{- 1}$
$Δ β_{b}$	Bragg detuning	-102 ${cm}^{- 1}$
α	Linewidth-enhancement factor	-4.0
$I_{a}$ $(I_{b})$	Bias current	88 mA (62 mA)

Abbreviation	Parameter	Value
$l_{s}$	Section length	300 µm
$α$	Linewidth-enhancement factor	-4.0
$κ_{s}$	Coupling constant for the gain-coupled case	$99.504 + i 9.9504 {cm}^{- 1}$
$κ_{s}$	Coupling constant for the index-coupled case	100 ${cm}^{- 1}$
Γ	Optical loss coefficient	40 ${cm}^{- 1}$
$r_{s}$	Facet reflectivity	0
$G_{a}$ $(G_{b})$	Average gain	56 ${cm}^{- 1}$ (48 ${cm}^{- 1})$

Abbreviation	Parameter	Value
$τ_{s}$	Carrier lifetime	1.25 ns
$g_{s}$	Differential gain	$1.6 \times 10^{- 16} {cm}^{2}$
$V_{s}$	Volume	$1.215 \times 10^{- 14} {cm}^{3}$
$N_{0 s}$	Carrier density at transparency	$2.1 \times 10^{18} {cm}^{- 3}$
$ν_{s}$	Group velocity	$(3 \times 10^{10} / 3.7)$ cm/s
$Γ_{s}$	Optical loss coefficient	40 ${cm}^{- 1}$
$r_{s}$	Facet reflectivity	$10^{- 6}$
$l_{s}$	Section length	300 µm
$Δ β_{a}$	Bragg detuning	-150 ∼ -354 ${cm}^{- 1}$
$Δ β_{b}$	Bragg detuning	-102 ${cm}^{- 1}$
α	Linewidth-enhancement factor	-4.0
$I_{a}$ $(I_{b})$	Bias current	88 mA (62 mA)

Abbreviation	Parameter	Value
$l_{s}$	Section length	300 µm
$α$	Linewidth-enhancement factor	-4.0
$κ_{s}$	Coupling constant for the gain-coupled case	$99.504 + i 9.9504 {cm}^{- 1}$
$κ_{s}$	Coupling constant for the index-coupled case	100 ${cm}^{- 1}$
Γ	Optical loss coefficient	40 ${cm}^{- 1}$
$r_{s}$	Facet reflectivity	0
$G_{a}$ $(G_{b})$	Average gain	56 ${cm}^{- 1}$ (48 ${cm}^{- 1})$

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Equations (12)

Journal of the Optical Society of America B