Full text loading...
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Colored noise in the ring‐laser gyroscope: Theory and simulation
1.W. W. Chow, J. Gea‐Banacloche, L. Pedrotti, V. Sanders, W. Schleich, and M. O. Scully, Rev. Mod. Phys. 57, 61 (1985);
1.F. Aronowitz, in Laser Applications, edited by M. Ross (Academic, New York, 1977), Vol. I, p. 132.
2.Another effect limiting the accuracy of the gyroscope is phase fluctuations from spontaneous emission of the laser atoms. An interesting method to quench this noise can be found in M. O. Scully, Phys. Rev. Lett. 55, 2802 (1985).
3.J. D. Cresser, W. H. Louisell, P. Meystre, W. Schleich, and M. O. Scully, Phys. Rev. A 25, 2214 (1982);
3.J. D. Cresser, D. Hammons, W. H. Louisell, P. Meystre, and H. Risken, Phys. Rev. A 25, 2226 (1982);
3.J. D. Cresser, Phys. Rev. A 26, 398 (1982);
3.W. Schleich, C.‐S. Cha, and J. D. Cresser, Phys. Rev. A 29, 230 (1984);
3.W. Schleich and P. Dobiasch, Opt. Commun. 52, 63 (1984).
4.An interesting application of colored noise as random dithermodulation has been discussed by A. Bambini and S. Stenholm, J. Opt. Soc. Am. B 4, 148 (1987).
5.For a nice review on random noise dither techniques see J. Killpatrick, in Physics of Optical Ring Gyros, edited by S. Jacobs (SPIE Bellingham, 1984), Vol. 487, p. 85;
5.see also G. S. Kruglik, A. A. Kutsak, and G. M. Kuznetsov, Zh. Prikl. Spektroskopii 16, 58 (1972)
5.[G. S. Kruglik, A. A. Kutsak, and G. M. Kuznetsov, J. Appl. Spect. 16, 44 (1972)];
5.G. S. Kruglik, B. A. Blazhnov, G. M. Kuznetsov, and A. A. Kutsak, Zh. Prikl. Spektroskopii 17, 358 (1972)
5.[G. S. Kruglik, B. A. Blazhnov, G. M. Kuznetsov, and A. A. Kutsak, J. Appl. Spect. 17, 1100 (1972)].
6.K. Vogel, H. Risken, W. Schleich, M. James, F. Moss, and P. V. E. McClintock, Phys. Rev. A 35, 463 (1987).
7.See, for example, H. Risken, The Fokker‐Planck Equation, Methods of Solutions and Applications, edited by H. Haken (Springer, New York, 1984), p. 196.
8.See, for example, F. Moss and P. V. E. McClintock, Z. Phys. B 61, 381 (1985), and references therein.
9.R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1967), Vols. I and II.
10.See, for example, Yu. M. Ivancbenko, and L. A. Zil’berman, Zh. Eksp. Teor. Fiz. 55, 2395 (1968)
10.[Sov. Phys. JETP 28, 1272 (1969)];
10.M. Büttiker, E. P. Harris, and R. Landauer, Phys. Rev. B 28, 1268 (1983);
10.E. G. Gwinn and R. M. Westervelt, Phys. Rev. Lett. 54, 1633 (1985);
10.T. Bohr, P. Bak, and M. H. Jensen, Phys. Rev. A 30, 1970 (1984).
11.K. Haken, H. Sauermann, Ch. Schmid, and H. D. Vollmer, Z. Phys. 206, 369 (1967).
12.See, for example, G. Grüner and A. Zettl, Phys. Rep. 119, 117 (1985).
13.Typical approximation schemes are the decoupling theory developed by P. Hänggi, Z. Phys. B 31, 407 (1978);
13.P. Hänggi, T. Mroczkowski, F. Moss, and P. V. E. McClintock, Phys. Rev. A 32, 695 (1985);
13.and the short correlation time approximation, by J. M. Sancho, M. San Miguel, S. L. Katz, and J. D. Gunton, Phys. Rev. A 26, 1589 (1982);
13.A. Schenzle and R. Graham, Phys. Lett. 98A, 310 (1983). For the case of the locking equation [Eq. (1)], these approximations are compared to the exact matrix continued fraction treatment in K. Vogel, Th. Leiber, H. Risken, P. Hänggi, and W. Schleich, Phys. Rev. A (to be published).
14.Approximate analytical results for the locking curve of the gyro in the presence of colored noise can be found in A. A. Kutsak and O. M. Lyashko, Zh. Prikl. Spektrosk. 43, 188 (1985)
14.[A. A. Kutsak and O. M. Lyashko, J. Appl. Spectr. 43, 834 (1985)].
15.K. Vogel, diploma thesis (University of Ulm, Ulm, West Germany, 1984).
16.K. Vogel, H. Risken, and W. Schleich, in Noise in Nonlinear Dynamical Systems, edited by F. Moss and P. McClintock (Cambridge University Press, Cambridge, to be published).
17.A qualitatively similar result has been obtained by A. A. Kaplan, Radio Eng. Electron. Phys. 11, 1354 (1966) by a heuristic argument: averaging the deterministic locking curve using a Gaussian distribution of rotation rates.
Article metrics loading...