The discrete layer peeping (DLP) algorithm has been widely used to synthesize the fiber Bragg grating for the inverse
scattering problem. The synthesis is useful both as a design tool and for characterization of already fabricated gratings
with complex profiles. In the paper, the error sources of the discrete layer peeping algorithm, including the resolution,
and the bandwidth, are analyzed. We choice different resolution and different bandwidth to calculate the reflection
spectrum of fiber Bragg gratings with different length of the fiber Bragg grating, separately. We find that the synthesized
reflectivity can all be synthesized when the resolution is different, but the length of the fiber Bragg grating required to
synthesize the reflectivity is longer as the resolution increases. For one target reflection spectrum, we also find that the
length of the fiber Bragg grating required to calculate the reflectivity with different bandwidth is almost same, and a
deviation between the target reflection spectrum and the calculated reflectivity decreases as the resolution increases. The
resolution and bandwidth required for a certain level of accuracy will depend in general on the bandwidth and the fine
structure of the initial target reflection spectrum.
KEYWORDS: Receivers, Telecommunications, Free space optics, Signal to noise ratio, Polarization, Systems modeling, Atmospheric turbulence, Turbulence, Atmospheric modeling, Free space optical communications
A theoretical model is proposed to study quantitative differences in the size of large-aperture between circle polarization
shift keying (CPolSK) and on-off keying (OOK). The quantitative differences can be analyzed with the impact from
atmospheric condition, link length, and communication wavelength. Numerical results show that FSO CPolSK systems
with longer communication wavelength can reduce the size even smaller than the systems using OOK, while it can be
not obvious with increasing link length. Meanwhile, increasing average signal-to-noise ratio (SNR) leads to a reduction
of the difference in aperture size. These results can be helpful for FSO systems design.
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