Abstract

Modal noise generation in multimode optical fiber is identified as occurring in two statistically differing regimes, that in which there is independence of the speckles (open regime) and that in which the speckles have an interdependency related to the constancy of the total light power in the core modes (closed regime). We derive statistical expressions for modal noise generation in the closed regime and verify them with experiment.

© 1981 Optical Society of America

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References

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  1. B. Daino, G. DeMarchis, S. Piazzolla, Electron. Lett. 15, 755 (1979).
    [CrossRef]
  2. K. O. Hill, Y. Tremblay, B. S. Kawasaki, Opt. Lett. 5, 270 (1980).
    [CrossRef] [PubMed]
  3. E. G. Rawson, J. W. Goodman, R. E. Norton, Opt. Lett. 5, 357 (1980).
    [CrossRef] [PubMed]
  4. R. E. Epworth, in Technical Digest, Fourth ECOC, Genoa, Sept. 1978, p. 492.

1980

1979

B. Daino, G. DeMarchis, S. Piazzolla, Electron. Lett. 15, 755 (1979).
[CrossRef]

Daino, B.

B. Daino, G. DeMarchis, S. Piazzolla, Electron. Lett. 15, 755 (1979).
[CrossRef]

DeMarchis, G.

B. Daino, G. DeMarchis, S. Piazzolla, Electron. Lett. 15, 755 (1979).
[CrossRef]

Epworth, R. E.

R. E. Epworth, in Technical Digest, Fourth ECOC, Genoa, Sept. 1978, p. 492.

Goodman, J. W.

Hill, K. O.

Kawasaki, B. S.

Norton, R. E.

Piazzolla, S.

B. Daino, G. DeMarchis, S. Piazzolla, Electron. Lett. 15, 755 (1979).
[CrossRef]

Rawson, E. G.

Tremblay, Y.

Electron. Lett.

B. Daino, G. DeMarchis, S. Piazzolla, Electron. Lett. 15, 755 (1979).
[CrossRef]

Opt. Lett.

Other

R. E. Epworth, in Technical Digest, Fourth ECOC, Genoa, Sept. 1978, p. 492.

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Figures (4)

Fig. 1
Fig. 1

Probability density function of the transmitted portion of a closed speckle pattern. The vertical scale is logarithmic, and the dotted lines indicate the respective means of the transmitted power. The curves are drawn for Nmax = 500. The areas of applicability of the piecemeal PDFs are also indicated.

Fig. 2
Fig. 2

Experimental apparatus arrangement.

Fig. 3
Fig. 3

Calculated and measured levels of modal noise as a function of the fraction of the speckle pattern transmitted. R 1 gives the ratio of transmitted power to the standard deviation of the power for a closed speckle pattern with Nmax = 1600. R 0 gives the equivalent curve for an open speckle pattern. Both curves are normalized to (Nmax)1/2. The experimental points are determined for 50,000 readings.

Fig. 4
Fig. 4

Probability density functions of transmitted light for the four experimental points indicated on Fig. 3. Curves 1, 2, and 3 show a comparison between calculation (smooth solid lines) and measurement. Histogram 0 is a measure of the system stability.

Equations (6)

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p ( P ) = ( P / b ) n 1 b Γ ( n ) · exp ( P / b ) .
R 0 = n .
p ( P ) = [ ( P T P ) / b ] n 1 b Γ ( n ) · exp ( P T P ) / b , P ¯ > P > P T / 2 .
R 1 = ( n 1 n / N max ) 1 / 2 ,
β = ( 1 n / N max ) b ,
n ' = n ( 1 n / N max ) 1 .

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