Simulation of single quantum-well semiconductor
optical amplifiers
Cristiano M. Gallep, student member, and Evandro Conforti, senior member IEEE
Departamento de Microonda e Óptica – Faculdade de Engenharia Elétrica e de Computação – Unicamp
Abstract – A simple model for quantum well semiconductor
optical amplifier simulation is presented. Carrier population
transients in the separate confinement heterostructure and in
the unconfined (above) and confined (inside) states of the
quantum well are considered. Preliminary results for the
particular single-well case and short cavity length (100µm) are
presented.
cavity. The non-linear dependence of the optical gain with
the photon density is generally introduced by a gain
compression factor. In practice, the dynamic response of
bulk-type active cavity devices are limited by RC parasites,
heating, carriers relaxation times and maximum power
supported by the structure. In the peculiar case of QW
structures, the carrier transport mechanisms are very
important to the dynamic performance. In that way, the QW
structural optimization should also be done considering the
relationship of the well’s width and number; the barrier’s
height and width; the composition types of SCH (separate
confinement heterostructure); the amount of bi-axial forces in
the crystalline media and the type and amount of doping in
the active layers.
Key words optical switching, quantum well semiconductor
optical amplifier modeling.
I. INTRODUCTION
The semiconductor optical amplifier (SOA) is a promising
device for add-and-drop links and wavelength routing. In
addition, the SOA can be employed as an optical switch due
to its small size, wide bandwidth and the potential to be
integrated with other electronic and optical devices [1].
Present day limitations of a SOA switch are the high price
and limited isolation between WDM (wavelength division
multiplex) channels [2]. However, angle-facet S-bend SOA
switches can overcome the last limitation, providing a large
optical extinction ratio (optical off-on ratio) of 70 dB with a
fiber to fiber gain of 20 dB [3]. Modern SOA with active
cavity based on quantum well structures can provide wide
gain band, high saturation power, good small signal gain and
fast gain recovery, factors that make this devices a promising
tool for the accomplishment of totally optical processing sub-
systems
The quantum-well structure provides a significant reduction
of the valence band carrier’s effective mass [4], allowing
operation with lower threshold current, reduced Auger
recombination, increased differential gain and modulation
band. The largest attractiveness of those devices are its
potentialities of high dynamic response operation, due to the
barrier’s carrier reservoirs and carrier tunneling. Using an
optimum design, gain recovery time less than 10 ps was
obtained in MQW optical amplifiers [5]. In an QW structure,
the optical field confinement in the active area is very small,
due to its small dimensions (relatively to the light
wavelength). In those case a high insertion loss (~95%) is
expected. Even so, the material gain is 50% larger in relation
to common devices, when the wells are under presence of bi-
axial forces [6]. Due to the quantum process involved in the
electronic carriers transport, gain restoring times of pico-
seconds can be obtained.
Computer simulation of numerical models for such devices
is an important tool to the design of more complex systems
and prediction of high speed optical data links performance.
In this work, a simple and efficient model for quantum-well
semiconductor optical amplifier (QW-SOA) is presented with
some simulations results. The rate equations account to the
carrier populations in the SCH region and in the states above
(unconfined) and inside (confined in) the well. Also, a photon
population equation are considered.
The Auger-type is one of the predominant processes of
non-radioactive recombination in optical fiber
communications lasers, affecting its gain linearity and
modulation response. This process involves four states of
particles (three elétrons (e) and a hole (h), two e and and two
h, etc.). The resultant e-h recombination energy is transferred
to another carrier (an electron or hole), that becomes excited,
achieving a higher energy state in the corresponding band [7].
This hot-carrier then relaxes again to the ground state, losing
energy through vibrations in the crystalline structure
(phonon). The Auger recombination can be reduced 10 times
in QW structures, in relation to the conventional ones. Such a
fact could be explained by the reduction, in comparison to
structures of matched crystalline layer, of the carrier effective
mass [8]. Even so, the Auger recombination is still one of the
most serious problems in SQW-lasers (single-quantum well)
with InGaAsP-InP structure, in spite of been its coefficient (C
II. QW-SOA CHARACTERISTICS
The high-speed semiconductor lasers dynamics have been
conventionally modeled using a pair of coupled first-order
linear differential equations, usually called rate equations. In
that approach, one equation governs the electronic carrier
density and other one governs the photon density inside the
Cristiano M. Gallep (gallep@dmo.fee.unicamp.br) and Evandro Conforti
(conforti@dmo.fee.unicamp.br). Tel.:19-7883796. This work is partially
supported by FAPESP-CEPID, CAPES and MCT-Pronex.
0-7803-7065-1/01/$10.00 ©2001 IEEE 321 SBMO/IEEE MTT-S IMOC 2001 Proceedings