## Indirect measurement of a laser communications bit-error-rate reduction with low-order adaptive optics

Applied Optics, Vol. 42, Issue 21, pp. 4239-4243 (2003)

http://dx.doi.org/10.1364/AO.42.004239

Acrobat PDF (132 KB)

### Abstract

In experimental measurements of the bit-error rate for a laser communication system, we show improved performance with the implementation of low-order (tip/tilt) adaptive optics in a free-space link. With simulated atmospheric tilt injected by a conventional piezoelectric tilt mirror, an adaptive optics system with a Xinetics tilt mirror was used in a closed loop. The laboratory experiment replicated a monostatic propagation with a cooperative wave front beacon at the receiver. Owing to constraints in the speed of the processing hardware, the data is scaled to represent an actual propagation of a few kilometers under moderate scintillation conditions. We compare the experimental data and indirect measurement of the bit-error rate before correction and after correction, with a theoretical prediction.

© 2003 Optical Society of America

**OCIS Codes**

(010.1080) Atmospheric and oceanic optics : Active or adaptive optics

(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

(060.4510) Fiber optics and optical communications : Optical communications

**Citation**

Robert K. Tyson and Douglas E. Canning, "Indirect measurement of a laser communications bit-error-rate reduction with low-order adaptive optics," Appl. Opt. **42**, 4239-4243 (2003)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-21-4239

Sort: Year | Journal | Reset

### References

- R. M. Gagliardi and S. Karp, Optical Communications, 2nd ed. (Wiley, New York, 1995).
- H. T. Yura and W. G. McKinley, “Optical scintillation statistics for IR ground-to-space laser communication systems,” Appl. Opt. 22, 3353–3358 (1983).
- H. Ansari and L. H. Roberts, “Charge-coupled device imaging system for precision beam steering in laser communications,” Opt. Eng. 34, 3261–3264 (1995).
- L. C. Andrews, R. L. Phillips, and P. T. Yu, “Optical scintillations and fade statistics for a satellite-communication system,” Appl. Opt. 34, 7742–7751, (1995).
- L. C. Andrews, R. L. Phillips, and P. T. Yu, “Optical scintillations and fade statistics for a satellite-communication system: errata,” Appl. Opt. 36, 6068 (1997).
- R. L. Phillips and L. C. Andrews, “Measured statistics of laser-light scattering in atmospheric turbulence,” J. Opt. Soc. Am. 71, 1440–1445 (1981).
- W. B. Miller, J. C. Ricklin, and L. C. Andrews, “Effects of the refractive index spectral model on the irradiance variance of a Gaussian beam,” J. Opt. Soc. Am. A 11, 2719–2726 (1994).
- L. C. Andrews, R. L. Phillips, and C. Y. Hopen, “Scintillation model for a satellite communication link at large zenith angles,” Opt. Eng. 39, 3272–3280 (2000).
- R. J. Hill and R. G. Frehlich, “Probability distribution of irradiance for the onset of strong scintillation,” J. Opt. Soc. Am. A 14, 1530–1540 (1997).
- L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, Bellingham, Wash., 1998).
- R. Barakat, “First-order intensity and log-intensity probability density functions of light scattered by the turbulent atmosphere in terms of lower-order moments,” J. Opt. Soc. Am. A 16, 2269–2274 (1999).
- J. H. Churnside and R. J. Hill, “Probability density of irradiance scintillations for strong path-integrated refractive turbulence, J. Opt. Soc. Am. A 4, 723–733 (1987).
- L. C. Andrews, R. L. Phillips and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE Press, Bellingham, Wash., 2001).
- M. Nakagami, “The m distribution — a general formula of intensity distribution of rapid fading,” in Statistical Methods in Radio Wave Propagation, W. C. Hoffman, ed. (Pergamon, New York, 1960), pp. 3–36.
- S. M. Flatté, C. Bracher, and G.-Yu Wang, “Probability-density functions of irradiance for waves in atmospheric turbulence calculated by numerical simulations,” J. Opt. Soc. Am. A 11, 2080–2092 (1994).
- R. J. Hill, R. G. Frehlich, and W. D. Otto, “The probability distribution of irradiance scintillation,” NOAA Technical Memo ERL ETL-274 (National Oceanic and Atmospheric Administration Environmental Research Laboratories, Boulder, Colo., 1996).
- M. A. Al-Habash, L. C. Andrews, and R. L. Phillips, “Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media,” Opt. Eng. 40, 1554–1562 (2001).
- R. J. Sasiela and J. D. Shelton, “Transverse spectral filtering and Mellin transform techniques applied to the effect of outer scale on tilt and tilt anisoplanatism,” J. Opt. Soc. Am. A 10, 646–659 (1993).
- R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976).
- R. J. Sasiela, “Wave-front correction by one or more synthetic beacons,” J. Opt. Soc. Am. A 11, 379–393 (1994).
- R. J. Sasiela and J. D. Shelton, “Guide star system considerations,” in Adaptive Optics Engineering Handbook, R. K. Tyson, ed., (Marcel Dekker, New York, 2000), Chap. 3.
- V. I. Tatarskii, Wave Propagation in a Turbulent Medium (McGraw-Hill, New York, 1961), translated by R. A. Silverman.
- R. K. Tyson, Principles of Adaptive Optics, 2nd ed. (Academic, Boston, Mass., 1998).
- R. K. Tyson, “Bit-error rate for free-space, adaptive optics, laser communications,” J. Opt. Soc. Am. A 19, 753–758 (2002).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

OSA is a member of CrossRef.