Availability analysis of a ship-to-ground FSO link

Airton F. G. Júnior; Claisso P. Azzolin; Claudio A. R. Castillo; Vítor G. A. Carneiro

doi:10.1364/JOCN.439148

Journal of Optical Communications and Networking
Vol. 14,
Issue 5,
pp. 339-350
(2022)
•https://doi.org/10.1364/JOCN.439148

Availability analysis of a ship-to-ground FSO link

Airton F. G. Júnior, Claisso P. Azzolin, Claudio A. R. Castillo, and Vítor G. A. Carneiro

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Airton F. G. Júnior, Claisso P. Azzolin, Claudio A. R. Castillo, and Vítor G. A. Carneiro, "Availability analysis of a ship-to-ground FSO link," J. Opt. Commun. Netw. 14, 339-350 (2022)

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Abstract

This paper analyzes the availability of a free-space optical (FSO) communication link, established between a maritime platform and a land base. In this analysis, the impact of the laser beam misalignment, caused by the vessel’s six oscillatory motions in a seaway, is considered. The hydrodynamic system is modeled, through a ship’s response amplitude operator (RAO), under a typical sea-state condition. Finally, the link availability is calculated based on FSO losses, considering a beam with Gaussian power distribution.

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	$T_{p}$ (s)
$H_{s}$ (m)	2–4	4–6	6–8	8–10	10–12	12–14	14–16	TOTAL
7.5–8.0					0.00034			0.00034
7.0–7.5					0.00159	0.00007		0.00166
6.5–7.0					0.00166	0.00112		0.00278
6.0–6.5				0.00224	0.00621	0.00790		0.01635
5.5–6.0				0.01194	0.01387	0.02367	0.00027	0.04975
5.0–5.5			0.00024	0.03815	0.03812	0.05796	0.00217	0.13664
4.5–5.0			0.00465	0.08608	0.12399	0.10307	0.00648	0.32427
4.0–4.5			0.04158	0.23330	0.27094	0.19877	0.02486	0.76945
3.5–4.0			0.27556	0.43631	0.53609	0.41854	0.07214	1.73864
3.0–3.5		0.00020	1.08320	0.99051	1.06234	0.87540	0.12755	4.13920
2.5–3.0		0.01648	3.26143	2.21920	2.22171	1.74653	0.17707	9.64242
2.0–2.5		0.12999	6.51361	4.64552	4.86349	2.43795	0.14529	18.7359
1.5–2.0	0.00070	0.86601	9.01983	9.94359	6.97481	2.59206	0.10520	29.5022
1.0–1.5	0.00020	0.95463	7.32552	12.2426	5.35464	1.63160	0.06451	27.5737
0.5–1.0	0.00265	0.17910	2.10694	2.77194	0.97437	0.30666	0.00672	6.34838
0.0–0.5	0.86421	0.01184	0.04077	0.05738	0.03415	0.01038	0.00027	1.01900
TOTAL	0.86776	2.15825	29.6733	33.67876	22.4783	10.4117	0.73253	100.000

Parameter	Description	Value
$L_{s}$	Length	$160.9 m$
$W$	Beam (width)	$23.1 m$
$D$	Draft	$9.068 m$

Parameter	Description	Value
$P_{TX}$	Laser power	14 dBm
$L$	Link length	3–5 km
$α_{atm}$	Atmospheric loss	$\leq 2 d B / k m$
$α_{T}$	Insertion losses in transmitter	1 dB
$α_{R}$	Insertion losses in receiver	1 dB
$α_{scint}$	Scintillation loss	1–1.56 dB
$d_{t}$	FSO transmitter diameter	5 cm
$d_{r}$	FSO receiver diameter	20 cm
$θ$	Divergence angle	1–3.5 mrad
$S_{r}$	FSO receiver sensitivity	–36 dBm
$λ$	Signal wavelength	1550 nm
$λ_{b}$	Beacon wavelength	785 nm
$R_{b}$	Data bit rate	1 Gbps

	$θ$ (mrad)
$α_{a t m}$ (dB/km)	1.0	2.0	3.0	3.5	4.0
1	2.503	4.279	5.758	6.345	6.792
2	2.337	3.894	5.105	5.535	5.888
3	2.123	3.328	4.232	4.533	4.683

$θ$ (mrad)	$η_{1}$ (%)	$η_{2}$ (%)	$η_{3}$ (%)	$η_{4}$ (%)
1.0	43.500	40.813	36.667	29.875
2.0	66.625	61.917	54.938	41.438
3.0	80.000	74.688	63.313	37.125
3.5	84.771	78.979	65.833	22.646
4.0	88.667	81.750	66.542	0.000

Airton F. G. Júnior	https://orcid.org/0000-0001-7313-9474
Claisso P. Azzolin	https://orcid.org/0000-0001-9773-4120
Claudio A. R. Castillo	https://orcid.org/0000-0001-6285-742X
Vítor G. A. Carneiro	https://orcid.org/0000-0002-5738-168X

	$T_{p}$ (s)
$H_{s}$ (m)	2–4	4–6	6–8	8–9	10–12	12–14	14–16	$H_{srp}$ (m)
7.5–8.0					2.000			7.75
7.0–7.5					2.182	2.302		7.25
6.5–7.0					2.401	2.537		6.75
6.0–6.5				3.141	2.719	2.891		6.25
5.5–6.0				3.526	3.136	3.250	4.490	5.75
5.0–5.5			3.370	3.880	3.641	3.698	5.047	5.25
4.5–5.0			6.250	4.448	4.235	4.313	5.844	4.75
4.0–4.5			7.125	5.224	4.938	5.115	6.922	4.25
3.5–4.0			8.110	6.005	5.885	6.235	8.255	3.75
3.0–3.5		35.167	9.469	7.094	7.068	7.630	9.891	3.25
2.5–3.0		41.682	11.422	8.547	8.542	9.531	12.047	2.75
2.0–2.5		50.156	14.443	10.688	10.792	12.078	15.047	2.25
1.5–2.0	100	61.761	18.787	13.948	14.037	15.839	19.568	1.75
1.0–1.5	100	77.255	26.188	19.578	19.417	22.417	26.698	1.25
0.5–1.0	100	96.866	42.417	31.584	30.599	33.693	37.938	0.75
0.0–0.5	100	100	88.860	69.438	59.849	61.328	65.953	0.25
$T_{prp}$ (s)	3	5	7	9	11	13	15	–

	$T_{p}$ (s)
$H_{s}$ (m)	2–4	4–6	6– 8	8–10	10–12	12–14	14–16	$H_{srp}$ (m)
7.5–8.0					7.589			7.75
7.0–7.5					8.325	9.151		7.25
6.5–7.0					8.907	9.880		6.75
6.0–6.5				9.703	9.719	10.844		6.25
5.5–6.0				10.604	10.714	11.948	14.896	5.75
5.0–5.5			15.855	11.714	11.750	13.219	16.474	5.25
4.5–5.0			17.625	13.787	12.943	14.761	18.302	4.75
4.0–4.5			19.740	14.579	14.625	16.656	20.427	4.25
3.5–4.0			22.250	16.589	16.547	18.870	23.073	3.75
3.0–3.5		76.042	25.484	19.110	18.990	21.792	26.130	3.25
2.5–3.0		83.354	29.964	22.209	22.266	25.370	30.120	2.75
2.0–2.5		88.110	36.073	26.985	26.526	29.969	34.360	2.25
1.5–2.0	100	96.391	45.724	33.682	32.637	35.688	39.557	1.75
1.0–1.5	100	99.271	60.021	44.526	40.984	43.568	46.122	1.25
0.5–1.0	100	100	83.219	63.407	54.943	56.119	60.141	0.75
0.0–0.5	100	100	99.719	95.891	91.624	92.391	95.542	0.25
$T_{prp}$ (s)	3	5	7	9	11	13	15	–

	$T_{p}$ (s)
$H_{s}$ (m)	2–4	4–6	6–8	8–9	10–12	12–14	14–16	$H_{srp}$ (m)
7.5–8.0					2.000			7.75
7.0–7.5					2.182	2.302		7.25
6.5–7.0					2.401	2.537		6.75
6.0–6.5				3.141	2.719	2.891		6.25
5.5–6.0				3.526	3.136	3.250	4.490	5.75
5.0–5.5			3.370	3.880	3.641	3.698	5.047	5.25
4.5–5.0			6.250	4.448	4.235	4.313	5.844	4.75
4.0–4.5			7.125	5.224	4.938	5.115	6.922	4.25
3.5–4.0			8.110	6.005	5.885	6.235	8.255	3.75
3.0–3.5		35.167	9.469	7.094	7.068	7.630	9.891	3.25
2.5–3.0		41.682	11.422	8.547	8.542	9.531	12.047	2.75
2.0–2.5		50.156	14.443	10.688	10.792	12.078	15.047	2.25
1.5–2.0	100	61.761	18.787	13.948	14.037	15.839	19.568	1.75
1.0–1.5	100	77.255	26.188	19.578	19.417	22.417	26.698	1.25
0.5–1.0	100	96.866	42.417	31.584	30.599	33.693	37.938	0.75
0.0–0.5	100	100	88.860	69.438	59.849	61.328	65.953	0.25
$T_{prp}$ (s)	3	5	7	9	11	13	15	–

Abstract

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Tables (7)

Equations (8)

Journal of Optical Communications and Networking