Detector of Optical Vortices as the Main Element of the System of Data Transfer: Principles of Operation, Numerical Model, and Influence of Noise and Atmospheric Turbulence

Table 1

Averaged over 13000 realizations mean values of ⟨𝐼_𝑟1−𝐼_𝑟0⟩ and maximum amplitudes 𝐼_𝑟0max−𝐼_𝑟1min obtained for pairs (𝑉_𝑑0,𝑉_𝑑1) with different Fried’s coherence lengths 𝐿_F/𝑟_0𝐵, angles of field rotation Δ, shifts of optical axes 𝑆_ℎ𝑥, and different outer scales 𝑀_outer.

𝐿F/𝑟0𝐵		Δ=180^∘				Δ=120^∘
		𝑆ℎ𝑥=0		𝑆ℎ𝑥≈0.314𝑟0𝐵		𝑆ℎ𝑥=0		𝑆ℎ𝑥≈0.314𝑟0𝐵
	𝑉𝑑0	−1;	−1;	−1;	−1;	−1;	−1;	−1;	−1;
	𝑉𝑑1	0	−2	0	−2	−2	+1	−2	+1
		𝑀outer=5𝑟0𝐵
0.25	⟨𝐼𝑟1−𝐼𝑟0⟩	1.35		0.997	0.56	1.16	1.20	0.60	0.79
	𝐼𝑟0max−𝐼𝑟1min	0.35		0.57	0.83	0.20	0.18	0.55	0.45
0.10	⟨𝐼𝑟1−𝐼𝑟0⟩	0.39		0.24	0.08	0.35	0.38	0.11	0.19
	𝐼𝑟0max−𝐼𝑟1min	1.01		1.00	1.02	0.75	0.72	0.80	0.76
0.05	⟨𝐼𝑟1−𝐼𝑟0⟩	0.06		0.01	−0.02	0.05	0.07	−0.01	0.01
	𝐼𝑟0max−𝐼𝑟1min	0.82		0.79	0.80	0.59	0.57	0.60	0.59
		𝑀outer=20𝑟0𝐵
0.25	⟨𝐼𝑟1−𝐼𝑟0⟩	0.59		0.36	0.08	0.58	0.62	0.19	0.32
	𝐼𝑟0max−𝐼𝑟1min	0.82		0.91	1.03	0.61	0.59	0.82	0.78
0.10	⟨𝐼𝑟1−𝐼𝑟0⟩	0.11		0.03	−0.03	0.12	0.13	−0.01	0.02
	𝐼𝑟0max−𝐼𝑟1min	0.99		0.98	1.02	0.72	0.71	0.74	0.71
0.05	⟨𝐼𝑟1−𝐼𝑟0⟩	0.03		0.01	−0.00	0.02	0.04	−0.00	0.00
	𝐼𝑟0max−𝐼𝑟1min	0.75		0.72	0.73	0.60	0.57	0.51	0.54