AAWSAP DIRD, High-Frequency Gravitational Wave Communications, April 2010

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Appendix A: Nomenclature
A
amplitude of gravitational wave, metric strain in spacetime, m/m
B
bandwidth, s-1
B
magnetic field strength, Tesla
C
speed of light in vacuum (2.998 x 108 ms-1)
C
maximum rate of information transfer, bits per second (bps), s-1
dt
time of future measurement, s
E
effective energy contained within the detector cavity summed over the detection
averaging time, J
FGw
gravitational-wave flux, Wm-2
h
strain, m/m
hdet
(strain) detection limit, m/m
i]
Planck's reduced constant 1.055 x 10-34 Js
N
noise, wm-2
N
number of linearly arranged GW radiation elements, integer
Nphase number of phase space cases to check for acquisition, integer
Ntreq
number of frequency cases to check for acquisition, integer
Ncode
number of code sync possibilities to check, integer
n
number of pairs of oppositely jerking at one-time mass elements, integer
p
power of the generated gravitational waves, W
Q
temporal quality factor or selectivity of the signal-to-noise ratio, dimensionless
R
range, m
Rcvrl
receiver 1
Rcvr2
receiver 2
Rr
receiver antenna power efficiency, dimensionless
Rx.
radiated power efficiency, dimensionless
s
signal strength, wm-2
Si
input signal strength, wm-2
So
output signal power, W
r
distance between two jerking-mass, gravitational-wave radiation elements, m
T
propagation or transmission-factor losses, dimensionless
ta
acquisition test time per test case, s
tint
integration or signal averaging time, s
Xmit1
transmitter 1
Xmit2
transmitter 2
b,.f
change in force of a jerking-mass, gravitational-wave radiation element, N
b.p
momentum uncertainty, kg-ms-1
b.t
time interval, s
D..x
initial position uncertainty, m
conversion efficiency (ratio of power of the EM input signal to power of the GW
signal generated), dimensionless
conversion efficiency (ratio of power of the GW input signal to power of the EM
signal generated), dimensionless
wavelength, m
VGW
gravitational-wave frequency, s-1
(j)
frequency of sensed gravitational waves, s-1
W1
transmitting frequency, s-1
W2
receiver-sensitivity frequency, s-1
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