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References in periodicals archive ?
This also includes the effects of other distributions such as Nakagami distribution on the scintillation index [18].
Alternatively, assuming [beta] = 2 in (9) and combining the result with (1), it is possible to establish the following relation between the scintillation index [S.sub.4] and the parameters of the [alpha]-[mu] distribution:
Note that each value of the scintillation index [S.sup.4] provides a unique Nakagami-m distribution.
To stress the importance of the flexibility provided by [alpha]-[mu] model in comparison with the limitations of the Nakagami-m distribution in this particular aspect, Figures 3(a), 3(b), and 3(c) show three examples of different scintillation patterns with approximately the same scintillation index [S.sub.4] (=0.90).
Figure 4 shows three examples of the Nakagami-m (dashed lines) and [alpha]-[mu] (solid lines) PSDs represented by (14), for different values of the scintillation index [S.sub.4], assuming [[tau].sub.o] = 0.47 s and thus [f.sub.0] = 0.59 Hz.
Baykal and Eyyubogl [25] developed the scintillation index formula for a flat-topped Gaussian beam source on axis in turbulence.
In this paper, we use the techniques in [28], the altitude-dependent model of the ITU-R turbulence structure constant model, to develop a scintillation index model for a Gaussian Schell-model beam on the slant path that is applicable under weak-to-strong fluctuations.
The beam is off the optical axis, and the scintillation index is expressed as a sum of radial and longitudinal components in the form at a point.
The radial component of the scintillation index in weak fluctuation is given by [16]
The strength of the intensity fluctuation of the optical beam propagating through turbulence is measured by scintillation index, defined as
To calculate the scintillation index, it is important for use to take the characteristic time of intensity fluctuation of the source [[tau].sub.s], the response time of intensity fluctuation induced by the turbulence [[tau].sub.a] and the integration time of the detector [[tau].sub.d] into consideration.
Most of the literatures were devoted to investigate the scintillation index of a partially coherent beam under the condition of "slow detector".