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106 IEEE PHOTONICS TECHNOLOGY LETTERS, VOL. 21, NO. 2, JANUARY 15, 2009<br />

<strong>Operational</strong> <strong>Conditions</strong> <strong>for</strong> <strong>Ext<strong>in</strong>ction</strong> <strong>Ratio</strong><br />

<strong>Improvement</strong> <strong>in</strong> <strong>Ultralong</strong> SOAs<br />

Patrick Runge, Robert Elschner, Student Member, IEEE, Christian-Alexander Bunge, Member, IEEE,<br />

Klaus Petermann, Senior Member, IEEE, Michael Schlak, Walter Br<strong>in</strong>ker, and Bernd Sartorius<br />

Abstract—The ext<strong>in</strong>ction ratio (ER) improvement <strong>in</strong> ultralong<br />

semiconductor optical amplifiers (UL-SOAs) is studied <strong>in</strong> dependence<br />

on their driv<strong>in</strong>g conditions. A stable process potentially<br />

useful <strong>for</strong> simple high-speed all-optical regeneration is observed.<br />

Furthermore, results <strong>in</strong>dicate that a Bogatov-like effect is the<br />

reason <strong>for</strong> the ER improvement <strong>in</strong> the UL-SOA’s saturated section.<br />

Index Terms—All-optical, Bogatov effect, ext<strong>in</strong>ction ratio<br />

(ER) improvement, ultralong semiconductor optical amplifiers<br />

(UL-SOAs).<br />

I. INTRODUCTION<br />

T<br />

HE regeneration of data signals is an important issue<br />

<strong>for</strong> long-haul optical communication systems. With <strong>in</strong>creas<strong>in</strong>g<br />

data rates, all-optical solutions are needed to overcome<br />

the electronic bottleneck. Opposite to regeneration concepts<br />

with highly nonl<strong>in</strong>ear fibers, most semiconductor optical amplifier<br />

(SOA) schemes can be <strong>in</strong>tegrated. Typical SOA solutions<br />

are based on <strong>in</strong>herently narrowband <strong>in</strong>terferometer structures<br />

[1], [2] and are due to the two <strong>in</strong>terferometer paths sensitive to<br />

data rates and wavelengths. In [3], a new s<strong>in</strong>gle path technique<br />

that uses the SOA’s nonl<strong>in</strong>ear ga<strong>in</strong> characteristic is presented.<br />

S<strong>in</strong>ce this scheme is dependent on the slow <strong>in</strong>terband effects,<br />

the transmission speed is limited due to the carrier lifetime<br />

(several hundred picoseconds). A novel s<strong>in</strong>gle path ext<strong>in</strong>ction<br />

ratio (ER) regeneration concept also us<strong>in</strong>g the nonl<strong>in</strong>ear<br />

transfer function of ultralong SOAs (UL-SOA), was presented<br />

<strong>in</strong> [4]. This regenerator concept is based on the two-wave<br />

competition (TWC) work<strong>in</strong>g with the fast <strong>in</strong>traband effects.<br />

For this reason, the speed limitation should be <strong>in</strong> the range of<br />

several hundred gigabits per second. An analytic description<br />

of the ER improvement, where the TWC effect is expla<strong>in</strong>ed<br />

with the help of four-wave mix<strong>in</strong>g, is given <strong>in</strong> [5]. In addition,<br />

simulations as well as measurements <strong>for</strong> s<strong>in</strong>e-modulated signals<br />

were presented. In [6], a basic set of the UL-SOAs’ driv<strong>in</strong>g<br />

conditions <strong>for</strong> the ER improvement have been <strong>in</strong>vestigated.<br />

In this letter, further detailed experiments on the UL-SOAs<br />

driv<strong>in</strong>g conditions are made. Due to a systematic variation of the<br />

Manuscript received April 14, 2008; revised September 12, 2008. Current<br />

version published January 14, 2009. This work was supported by the Deutsche<br />

Forschungsgeme<strong>in</strong>schaft (DFG).<br />

P. Runge, R. Elschner, C.-A. Bunge, and K. Petermann are with the Fachgebiet<br />

Hochfrequenztechnik, Technische Universität Berl<strong>in</strong>, D-10587 Berl<strong>in</strong>, Germany<br />

(e-mail: runge@hft.ee.tu-berl<strong>in</strong>.de).<br />

M. Schlak, W. Br<strong>in</strong>ker, and B. Sartorius are with the Fraunhofer-Institut<br />

für Nachrichtentechnik, He<strong>in</strong>rich-Hertz-Institut, D-10587 Berl<strong>in</strong>, Germany<br />

(e-mail: sartorius@hhi.fhg.de).<br />

Color versions of one or more of the figures <strong>in</strong> this letter are available onl<strong>in</strong>e<br />

at http://ieeexplore.ieee.org.<br />

Digital Object Identifier 10.1109/LPT.2008.2008910<br />

driv<strong>in</strong>g conditions, the UL-SOA’s optimal operat<strong>in</strong>g po<strong>in</strong>t <strong>for</strong><br />

the ER improvement was found. In addition, it could be proven<br />

that the ER improvement <strong>in</strong> UL-SOAs is a stable process. Furthermore,<br />

some of the experiments <strong>in</strong>dicate that a Bogatov-like<br />

effect (see Section II) <strong>in</strong> the UL-SOA’s saturated section seems<br />

to be the reason <strong>for</strong> the ER improvement.<br />

II. PROPERTIES OF UL-SOAs<br />

Opposite to short SOAs, the major part of UL-SOAs is deeply<br />

saturated due to the amplified <strong>in</strong>put signals and the amplified<br />

spontaneous emission (ASE). For this reason, the UL-SOA<br />

can be divided <strong>in</strong>to two sections: In the amplify<strong>in</strong>g section,<br />

the carrier density cannot follow high-speed modulated signals<br />

because of the long carrier lifetime. As long as the signal<br />

changes are fast enough, the carrier density experiences the<br />

average signal power and no pattern effects occur. By contrast,<br />

<strong>in</strong> the saturated section, the carrier density is clamped to the net<br />

transparency level and only the fast <strong>in</strong>traband effects <strong>in</strong>fluence<br />

the signals. In our simulations, we could observe a dynamical<br />

ga<strong>in</strong> and <strong>in</strong>dex grat<strong>in</strong>g created by carrier heat<strong>in</strong>g (CH) and<br />

spectral hole burn<strong>in</strong>g (SHB) <strong>in</strong> this section. The pulsation is<br />

caused by the beat<strong>in</strong>g of the two <strong>in</strong>put signals.<br />

In [9], Bogatov has demonstrated that due to the dynamical<br />

ga<strong>in</strong> and <strong>in</strong>dex grat<strong>in</strong>g <strong>in</strong> nonl<strong>in</strong>ear semiconductor media,<br />

the weaker signal’s amplification is dependent on the stronger<br />

signal’s wavelength detun<strong>in</strong>g. Due to the -factor caus<strong>in</strong>g the<br />

<strong>in</strong>dex pulsation, the probe signal is stronger amplified on the<br />

longer wavelength side of the pump signal. In [9], the pulsations<br />

are due to the slow <strong>in</strong>terband effects, while <strong>in</strong> [10], a similar effect<br />

based on the fast <strong>in</strong>traband effects was presented. Due to<br />

the fast <strong>in</strong>traband effects, this Bogatov-like effect is suitable <strong>for</strong><br />

high-speed operations. Furthermore, the effect can be observed<br />

<strong>for</strong> a wavelength detun<strong>in</strong>g up to several nanometers.<br />

III. MEASUREMENT AND SIMULATION SETUP<br />

As a simulation tool an improved time-doma<strong>in</strong> SOA model<br />

based on [7] is used. In order to apply the model on UL-SOAs,<br />

a f<strong>in</strong>ite-impulse response filter used to model the wavelength dependence<br />

of the ga<strong>in</strong> <strong>in</strong> each SOA segment is adaptively fitted to<br />

a cubic ga<strong>in</strong> model [8]. Moreover, further nonl<strong>in</strong>ear effects like<br />

free carrier absorption and two-photon absorption were implemented,<br />

s<strong>in</strong>ce even these weak effects <strong>in</strong>fluence the signal over<br />

such a long device length. For the simulation, typical parameters<br />

<strong>for</strong> a 1550-nm InGaAsP bulk SOA had been taken from the<br />

literature.<br />

Fig. 1 shows a conceptual setup <strong>for</strong> the <strong>in</strong>vestigations. To keep<br />

the <strong>in</strong>fluence of the bandpass filter after the UL-SOA on the ER<br />

improvement as small as possible, a s<strong>in</strong>e-modulated cont<strong>in</strong>uouswave<br />

(CW) signal was used as a data signal. The <strong>in</strong>vestigated<br />

device is an 8-mm-long bulk SOA. For all measurements and<br />

1041-1135/$25.00 © 2009 IEEE<br />

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RUNGE et al.: OPERATIONAL CONDITIONS FOR ER IMPROVEMENT IN UL-SOAs 107<br />

Fig. 1.<br />

Setup used <strong>for</strong> simulations and measurements.<br />

Fig. 3. Output ER <strong>in</strong> dependence of the wavelength detun<strong>in</strong>g, optimized detun<strong>in</strong>g4nm(<br />

=const:; solid l<strong>in</strong>es—measurement; dashed l<strong>in</strong>es—simulation).<br />

Fig. 2. Output ER <strong>in</strong> dependence of the data signal <strong>in</strong>put power (solid<br />

l<strong>in</strong>es—measurement; dashed l<strong>in</strong>es—simulation).<br />

simulations, the driv<strong>in</strong>g current was set to 310 mA/mm. The default<br />

<strong>in</strong>put parameters <strong>for</strong> the experimental series <strong>in</strong> Section IV<br />

are dBm, dB, nm, and<br />

GHz (corresponds to a 40 Gb/s “10101 ”-sequence).<br />

The measured device was fabricated at the He<strong>in</strong>rich-Hertz<br />

Institute and has a buried InGaAsP–InP waveguide structure.<br />

The bandgap wavelength of the active material is 1537 nm. The<br />

conf<strong>in</strong>ement factor of this waveguide is approximately 0.35. To<br />

avoid las<strong>in</strong>g modes, the facets are tilted by 10 and are antireflective<br />

coated.<br />

IV. ER IMPROVEMENT DEPENDENCE ON THE UL-SOA’s<br />

OPERATING CONDITIONS<br />

In this section, the results of the systematic study of the<br />

UL-SOA’s operat<strong>in</strong>g conditions are reported and the experiments<br />

are compared to simulations.<br />

Fig. 2 shows the data signal’s output ER <strong>for</strong> various power<br />

ratios of the CW signal and the data signal. Depend<strong>in</strong>g on the<br />

power ratio an <strong>in</strong>creased output ER compared to the <strong>in</strong>put ER<br />

can be observed. This behavior is unknown from conventional<br />

assumptions and theories. In the follow<strong>in</strong>g <strong>in</strong>vestigations, the<br />

average ER<br />

is used <strong>for</strong> plott<strong>in</strong>g these<br />

characteristics.<br />

The first test series <strong>in</strong>vestigates the ER’s improvement <strong>in</strong> dependence<br />

of the data signal <strong>in</strong>put power (Fig. 2). As a result<br />

there is only a small <strong>in</strong>fluence of the data signal’s <strong>in</strong>put power<br />

on the ER improvement efficiency as long as the power ratio is<br />

readjusted. Furthermore, a qualitative match between the measurements<br />

and the simulations can be seen, as we will observe<br />

it <strong>for</strong> all follow<strong>in</strong>g experimental series.<br />

Another driv<strong>in</strong>g condition of <strong>in</strong>terest is the wavelength detun<strong>in</strong>g.<br />

Fig. 3 shows, that there is an optimized wavelength detun<strong>in</strong>g<br />

around 4 nm.<br />

Fig. 4. ER after pass<strong>in</strong>g the UL-SOA aga<strong>in</strong>st the <strong>in</strong>put ER (ER taken from the<br />

optimized power ratio).<br />

Next the ER improvement <strong>in</strong> dependence of the <strong>in</strong>put ER is<br />

<strong>in</strong>vestigated. With <strong>in</strong>creas<strong>in</strong>g ER at the UL-SOA’s <strong>in</strong>put, the<br />

ER improvement efficiency <strong>in</strong>creases (<strong>in</strong> Fig. 4 slope ). The<br />

discrepancy of the measured ER between Fig. 4 and the other<br />

figures can be ascribed to different setup conditions dur<strong>in</strong>g the<br />

measurements.<br />

So far the studied driv<strong>in</strong>g conditions have only <strong>in</strong>fluenced the<br />

ER improvement efficiency. Driv<strong>in</strong>g conditions that enable and<br />

disable the ER improvement are <strong>in</strong>vestigated <strong>in</strong> the follow<strong>in</strong>g<br />

part of this section and will be <strong>in</strong>terpreted with the help of the<br />

Bogatov-like effect.<br />

Fig. 5 demonstrates the dependence of the ER improvement<br />

on the polarization. The <strong>in</strong>put signals need to be parallel polarized<br />

<strong>in</strong> order to obta<strong>in</strong> an ER improvement. The polarization dependence<br />

can be expla<strong>in</strong>ed with the Bogatov-like effect. If the<br />

signals are orthogonally polarised, there is no dynamical ga<strong>in</strong><br />

and <strong>in</strong>dex grat<strong>in</strong>g, result<strong>in</strong>g <strong>in</strong> a decreas<strong>in</strong>g ER.<br />

The impact of the signal’s relative wavelength alignment<br />

on the ER improvement is analyzed <strong>in</strong> Fig. 6. Hav<strong>in</strong>g the CW<br />

signal located on the shorter wavelength side, the ER beh<strong>in</strong>d<br />

the UL-SOA is decreased more than it is conventionally expected<br />

(compare to the ER <strong>in</strong> Fig. 5 <strong>for</strong> orthogonal polarized<br />

<strong>in</strong>put signals). The CW signal has to be located on the longer<br />

wavelength side <strong>in</strong> order to obta<strong>in</strong> an ER improvement. This<br />

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108 IEEE PHOTONICS TECHNOLOGY LETTERS, VOL. 21, NO. 2, JANUARY 15, 2009<br />

Fig. 5. Measured ER improvement <strong>in</strong> dependence of polarization; both signals<br />

need to be parallel polarized <strong>in</strong> order to create a <strong>in</strong>tensity beat<strong>in</strong>g.<br />

Fig. 7. Simulated ER improvement <strong>in</strong> dependence of the -factor; <strong>in</strong>vert<strong>in</strong>g the<br />

-factor leads to an <strong>in</strong>verse behavior of the TWC (solid l<strong>in</strong>e— < ;<br />

dashed l<strong>in</strong>e— > ).<br />

rameters (signals’ <strong>in</strong>put power, signals’ wavelength detun<strong>in</strong>g<br />

and signals’ <strong>in</strong>put ER) only <strong>in</strong>fluence the ER improvement efficiency.<br />

But there are also driv<strong>in</strong>g conditions (signals’ polarization,<br />

SOA’s -factor and signals’ wavelength alignment) which<br />

can disable the effect. Furthermore, latter driv<strong>in</strong>g conditions <strong>in</strong>dicate<br />

that a Bogatov-like effect <strong>in</strong> the UL-SOA’s saturated section<br />

seems to be the reason <strong>for</strong> the ER improvement. S<strong>in</strong>ce this<br />

effect is caused by the fast <strong>in</strong>traband effects, the regenerative<br />

mechanism should be usable <strong>for</strong> data rates fairly above the carrier<br />

lifetime’s resonance frequency up to several hundred gigabits<br />

per second.<br />

Fig. 6. Relative wavelength alignment of the data signal to the CW signal; the<br />

data signal has to be located on the shorter wavelength side <strong>in</strong> order to achieve<br />

an ER improvement (solid l<strong>in</strong>e—measurement; dashed l<strong>in</strong>e—simulation).<br />

asymmetry regard<strong>in</strong>g the wavelength detun<strong>in</strong>g is a consequence<br />

of the asymmetric probe amplification due to the Bogatov-like<br />

effect as presented <strong>in</strong> [10]. Similar to the ER improvement, the<br />

probe gets amplified <strong>for</strong> an alignment on the pump’s longer<br />

wavelength side while <strong>for</strong> the shorter wavelength side it will be<br />

attenuated.<br />

At the end the dependence of the -factor on the ER improvement<br />

is <strong>in</strong>vestigated (Fig. 7). Invert<strong>in</strong>g the -factor results <strong>in</strong><br />

an <strong>in</strong>verse behavior of the ER development. For this reason,<br />

the alignment of the data signal to the CW signal also has to<br />

be changed <strong>in</strong> order to obta<strong>in</strong> an <strong>in</strong>creas<strong>in</strong>g ER. In the same<br />

manner, the Bogatov-like asymmetry flips over with a negative<br />

-factor. For devices with a decreased -factor like multiple<br />

quantum-well and quantum-dash SOAs the ER improvement<br />

should also be observable. On the one hand, the Bogatov-like<br />

effect should be reduced due to the decreased -factor but on<br />

the other hand CH and SHB are more pronounced <strong>in</strong> such devices.<br />

V. CONCLUSION<br />

We could prove that the ER improvement is a stable process<br />

if the UL-SOA is driven <strong>in</strong> a correct operat<strong>in</strong>g range. Some pa-<br />

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