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Dispersion Compensation

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Definition: the control of the overall chromatic dispersion of a system by adding optical elements with a suitable amount of dispersion

German: Dispersionskompensation

Categories: lightwave communications, methods, light pulses

How to cite the article; suggest additional literature

Dispersion compensation essentially means canceling the chromatic dispersion of some optical element(s). However, the term is often used in a more general sense of dispersion management, meaning the control the overall chromatic dispersion of some system. The goal can be, e.g., to avoid excessive temporal broadening of ultrashort pulses and/or the distortion of signals. Dispersion compensation is applied mainly in mode-locked lasers and in telecommunication systems, but also sometimes in optical fibers transporting light e.g. to or from some fiber-optic sensor.

Dispersion Compensation in Fiber-optic Communication Links

Dispersion compensation is an important issue for fiber-optic links, i.e., in the context of optical fiber communications. Here, strong dispersive broadening of modulated signals can occur in cases with high data rates. Without dispersion compensation, each symbol would be broadened so much that it would strongly overlap with a number of neighbored symbols. Even for moderate broadening, significant inter-symbol interference can strongly distort the detected signal. Therefore, it is essential to compensate the dispersion before detecting the signal.

For high data rates such as 40 Gbit/s or 160 Gbit/s, pulse broadening becomes much stronger than for 10 Gbit/s, for example. This is essentially because the spectral bandwidth of the signal becomes larger. It is then generally not sufficient to compensate the second-order dispersion only; one also needs to deal with higher-order dispersion. Problems can arise, for example, when dispersion-shifted fibers with a substantial dispersion slope are used, and only dispersion of second order is compensated. Figure 1 show this effect for a single 2-ps pulse at 1550 nm after 10 km and 50 km of such a fiber. Mainly uncompensated third-order dispersion is responsible for the resulting distortions.

imperfect dispersion compensation

Figure 1: Distortion of a triple pulse after 10 km (solid curve) and 50 km (dashed curve) of a dispersion-shifted fiber, when only second-order dispersion is compensated. The simulation has been done with the software RP ProPulse.

The resulting pulse distortion may appear small. However, a simulation with triple 2-ps pulses at a spacing as applied for 160 Gbit/s demonstrates that even in that case significant signal distortions can arise due to inter-symbol interference.

imperfect dispersion compensation

Figure 2: Pulse distortion after 10 km (solid curve) and 50 km (dashed curve) of a dispersion-shifted fiber, when only second-order dispersion is compensated.

The dispersion of a transmission fiber can be compensated with sections of fibers with different designs or with other optical elements. Dispersion compensation modules (DCMs) can contain, e.g., long pieces of dispersion-shifted fibers or chirped fiber Bragg gratings. The latter have the advantage of compactness and comparatively low insertion losses.

To some extent, the effects of dispersion in a system for optical data transmission can also be mitigated by electronic dispersion compensation.

Dispersion Compensation in Mode-locked Lasers

In a mode-locked laser for femtosecond pulse generation, the chromatic dispersion introduced by the gain medium and other optical components in the laser resonator is often not desirable, because it tends to broaden and chirp the generated pulses. While the naturally occurring chromatic dispersion is often in the normal dispersion regime, the desired dispersion may either be close to zero or even anomalous (for the formation of quasi-soliton pulses in the resonator). Such dispersion values can be achieved by introducing optical components with anomalous dispersion. In the case of bulk lasers, such components are usually either special dielectric dispersive mirrors (e.g. in the form of monolithic Gires–Tournois interferometers or chirped mirrors), or prism pairs. For mode-locked fiber lasers, the dispersion can be compensated with special dispersive fibers (e.g. photonic crystal fibers or multimode fibers where a higher-order mode is used), with chirped fiber Bragg gratings, or sometimes with bulk components such as pairs of diffraction gratings.

For pulses with durations below roughly 30 fs, it is necessary to control not only the second-order dispersion but also the dispersion of higher orders. It may then be important e.g. to select the appropriate material for a prism pair, or an optimized geometry of a prism compressor. There are also special devices called GRISMs [7], with a grating structure on a prism, which make possible an optimized ratio of the strength of second- and third-order dispersion.

Dispersive Pulse Compression

Dispersive optical elements can also be used to dispersively (linearly) compress ultrashort pulses outside laser resonators. The article on pulse compression gives more details.

Bibliography

[1]E. B. Treacy, “Optical pulse compression with diffraction gratings”, IEEE J. Quantum Electron. 5 (9), 454 (1969)
[2]O. E. Martínez et al., “Negative group-velocity dispersion using refraction”, J. Opt. Soc. Am. A 1 (10), 1003 (1984)
[3]R. L. Fork et al., “Negative dispersion using pairs of prisms”, Opt. Lett. 9 (5), 150 (1984)
[4]J. Kuhl and J. Heppner, “Compression of femtosecond optical pulses with dielectric multilayer interferometers”, IEEE J. Quantum Electron. 22 (1), 182 (1986)
[5]R. L. Fork et al., “Compression of optical pulses to six femtoseconds by using cubic phase compensation”, Opt. Lett. 12 (7), 483 (1987)
[6]D. Garthe et al., “Adjustable dispersion equaliser for 10 and 20 Gbit/s over distances up to 160 km”, Electron. Lett. 30 (25), 2159 (1994)
[7]S. Kane and J. Squier, “Grism-pair stretcher–compressor system for simultaneous second- and third-order dispersion compensation in chirped-pulse amplification”, J. Opt. Soc. Am. B 14 (3), 661 (1997)
[8]G. Tempea et al., “Dispersion control over 150 THz with chirped dielectric mirrors”, IEEE J. Sel. Top. Quantum Electron. 4 (2), 193 (1998)
[9]N. Matuschek et al., “Theory of double-chirped mirrors”, IEEE J. Sel. Top. Quantum Electron. 4 (2), 197 (1998)
[10]B. Golubovic et al., “Double Gires–Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers”, Opt. Lett. 25 (4), 275 (2000)
[11]H. Lim et al., “Femtosecond ytterbium fiber laser with photonic crystal fiber for dispersion control”, Opt. Express 10 (25), 1497 (2002)
[12]A. Isomäki and O. G. Okhotnikov, “All-fiber ytterbium soliton mode-locked laser with dispersion control by solid-core photonic bandgap fiber”, Opt. Express 14 (10), 4368 (2006)
[13]N. M. Litchinitser et al., “Fiber-based tunable dispersion compensation”, J. Opt. Fiber Commun. Rep. 4, 41 (2007)
[14]R. Jones et al., “Silicon photonic tunable optical dispersion compensator”, Opt. Express 15 (24), 15836 (2007)
[15]M. E. Durst et al., “Tunable dispersion compensation by a rotating cylindrical lens”, Opt. Lett. 34 (8), 1195 (2009)

(Suggest additional literature!)

See also: chromatic dispersion, dispersion compensation modules, mode locking, solitons, optical fiber communications, prism pairs, Gires–Tournois interferometers, fiber Bragg gratings, chirped mirrors, dispersive mirrors, electronic dispersion compensation, pulse compression
and other articles in the categories lightwave communications, methods, light pulses

In the RP Photonics Buyer's Guide, 21 suppliers for equipment for dispersion compensation are listed.

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