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From Eq. (12.10): [FSL] 32.4 32.4 20 log r 20 log f 20 log(23.28 10 )
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TABLE 12.4
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Frequency, GHz Range, km Transmitter Power, dBW Antenna gain, dB Circuit loss, dB Pointing loss, dB Receiver Pointing loss, dB Antenna gain, dB Noise temperature, K Noise bandwidth, dBHz
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1.8 36.7 720.3 71
Motorola, 1992.
The Space Link
The [EIRP] is [EIRP] [PT] 5.3 [GT] 36.7 [AML]T 1.8 1.8 [TFL]
38.4 dBW
The total losses, including the link margin and the receiver misalignment (pointing) loss are: [LOSSES] 192.6 1.8 [PR] 1.8 196.2 dB. The received power is, from Eq. (12.13) [GR] [LOSSES]
[EIRP]
121.1 dBW
Radio ISLs have the advantage that the technology is mature, so the risk of failure is minimized. However, the bandwidth limits the bit rate that can be carried, and optical systems, with their much higher carrier (optical) frequencies, have much greater bandwidth. Optical ISLs have a definite advantage over rf ISLs for data rates in excess of about 1 Gbps Also, telescope apertures are used which are considerably smaller than their rf counterparts, and generally, optical equipment tends to be smaller and more compact (see Optical Communications and IntersatelliteLinks, undated, at www.wtec.org/loyola/satcom2/03_06.htm-22k-). The optical beamwidth is typically 5 rad (Maral et al., 2002). Table 12.5 lists properties of some solid state lasers. The free-space loss given by Eq. (12.9) is repeated here: [FSL]
TABLE 12.5 Solid State Lasers
10 loga
4 r b l
Type GaAs/GaAlAs InGaAsP Nd: YAG Pulsed Nd:YAG Diode pumped Nd:YAG (cw)
Wavelength, m 0.78 0.905 1.1 1.6 1.064 1.064 1.064
Power 1 40 mW Avg 1 10 mW Up to 600 W Avg 0.5 10 mW 0.04 600 W
Beam diameter, mm
Beam divergence 10 35 10 30 20 40 0.3 20 mrad 0.5 2.0 mrad 2 25 mrad
1 10 1 2 0.7 8
NOTES: Al aluminum; As arsenide; Ga gallium; Nd neodymium; P phosphorus; YAG yttrium-aluminum garnet; cw continuous wave; m micron = 10 6 m; mm millimeter; mrad milliradian; mW milliwatt; W watt. SOURCE: Extracted from Chen, 1996.
Twelve
Here, wavelength rather than frequency is used in the equation as this is the quantity usually specified for a laser, and of course r and l must be in the same units. The intensity distribution of a laser beam generally follows what is termed a Gaussian law, for which the intensity falls off in an exponential manner in a direction transverse to the direction of propagation. The beam radius is where the transverse electric field component drops to 1/e of its maximum value, where e 2.718. The diameter of the beam (twice the radius) gives the total beamwidth. The on-axis gain (similar to the antenna gain defined in Sec. 6.6 is given by (Maral et al., 2002) GT 32
(12.64)
where T is the total beamwidth. On the receive side, the telescope aperture gain is given by: GR a D b l
(12.65)
where D is the effective diameter of the receiving aperture. The optical receiver will receive some amount of optical power PR. The energy in a photon is hc/l, where h is Plank s constant (6.6256 10 34 J-s) and c is the speed of light in vacuum (approximately 3 108 m/s). For a received power PR the number of photons received per second is therefore PRl/hc. The detection process consists of photons imparting sufficient energy to valence band electrons to raise these to the conduction band. The quantum efficiency of a photo-diode is the ratio (average number of conduction electrons generated)/(average number of photons received). Denoting the quantum efficiency by , the average number of electrons released is PRl/hc and the photo current is: Iph q PR l hc (12.66)
where q is the electron charge. The responsivity of a photodiode is defined as the ratio of photo current to incident power. Denoting responsivity by R0 and evaluating the constants in Eq. (12.66) gives R0 l 1.24 with l in m
(12.67)
The energy band gap of the semiconductor material used for the photodiode determines the wavelengths that it can respond to. The requirement in general is that the bandgap energy must be less than the photon
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