Power losses in bent and elongated polymer optical fibers

Yung-Chuan Chen

doi:10.1364/AO.46.004570

Applied Optics
Vol. 46,
Issue 21,
pp. 4570-4578
(2007)
•https://doi.org/10.1364/AO.46.004570

Power losses in bent and elongated polymer optical fibers

Yung-Chuan Chen

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Yung-Chuan Chen, "Power losses in bent and elongated polymer optical fibers," Appl. Opt. 46, 4570-4578 (2007)

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Abstract

This study performs experimental and numerical investigations into the power losses induced in bent, elongated polymer optical fibers (POFs). The theoretical analysis is based on a three-dimensional elastic–plastic finite-element model and makes the assumption of a planar waveguide. The finite-element model is used to calculate the deformation of the elongated POFs such that the power loss can be analytically derived. The effect of bending on the power loss is examined by considering seven different bend radii ranging from 10 to $50 mm$ . The results show that bending and elongation have a significant effect on the power loss in POFs. The contribution of skew rays to the overall power loss in bent, elongated POFs is not obvious at large radii of curvature but becomes more significant as the radius is reduced.

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	PMMA¹⁵	PTFE¹⁶	LDPE¹⁷
E (MPa)	3000	215	200
σ_y (MPa)	56	11.3	9.8
σ_ult (MPa)	68	55	17.2
v	0.4	0.46	0.49

R = 50 mm	B			D			G			I			Curve Region EF
δ (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	n (mm)	$R_{o u t} ″$ (mm)	$R_{o u t}'$ (mm)	$R_{i n}'$ (mm)	b (mm)	D _m (mm)
50.00	3.06	0.98	0.71	3.00	0.77	0.74	12.17	0.92	0.74	3.47	0.76	0.71	4.57	52.85	48.29	51.91	0.13	0.82
40.90	2.92	0.98	0.77	2.50	0.81	0.78	12.98	0.93	0.78	3.25	0.80	0.77	4.48	50.78	46.29	49.83	0.08	0.86
22.00	2.65	0.98	0.87	4.07	0.89	0.87	3.91	0.93	0.87	2.80	0.89	0.87	0.37	52.20	51.84	51.25	0.03	0.92
13.50	2.55	0.98	0.91	4.31	0.93	0.93	3.95	0.94	0.93	2.60	0.93	0.91	0.59	51.67	51.08	50.72	0.02	0.94
5.00	2.43	0.98	0.96	–	0.97	0.97	–	0.97	0.97	2.41	0.97	0.96	0.02	51.62	51.61	50.64	0.00	0.97

R = 10 mm	B			D			G			I			Curve Region EF
δ (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	n (mm)	$R_{o u t} ″$ (mm)	$R_{o u t}'$ (mm)	$R_{i n}'$ (mm)	b (mm)	D _m (mm)
50.00	3.97	0.98	0.67	3.11	0.77	0.64	3.41	0.81	0.64	4.28	0.76	0.67	0.73	7.92	8.37	6.92	0.14	0.80
42.11	3.80	0.98	0.73	2.96	0.81	0.67	2.93	0.79	0.67	4.04	0.84	0.73	0.63	7.63	7.96	6.61	0.10	0.84
28.93	3.51	0.98	0.82	3.08	0.87	0.73	3.01	0.85	0.73	3.62	0.85	0.82	0.57	8.04	8.33	7.00	0.10	0.85
20.11	3.36	0.98	0.86	2.87	0.90	0.78	2.84	0.87	0.78	3.37	0.89	0.86	0.89	8.20	8.79	7.07	0.09	0.87
14.23	3.28	0.98	0.89	3.07	0.92	0.81	2.03	0.87	0.81	3.22	0.92	0.89	0.57	8.53	8.93	7.51	0.07	0.89

	PMMA¹⁵	PTFE¹⁶	LDPE¹⁷
E (MPa)	3000	215	200
σ_y (MPa)	56	11.3	9.8
σ_ult (MPa)	68	55	17.2
v	0.4	0.46	0.49

R = 50 mm	B			D			G			I			Curve Region EF
δ (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	z _m (mm)	D _co (mm)	D _m (mm)	n (mm)	$R_{o u t} ″$ (mm)	$R_{o u t}'$ (mm)	$R_{i n}'$ (mm)	b (mm)	D _m (mm)
50.00	3.06	0.98	0.71	3.00	0.77	0.74	12.17	0.92	0.74	3.47	0.76	0.71	4.57	52.85	48.29	51.91	0.13	0.82
40.90	2.92	0.98	0.77	2.50	0.81	0.78	12.98	0.93	0.78	3.25	0.80	0.77	4.48	50.78	46.29	49.83	0.08	0.86
22.00	2.65	0.98	0.87	4.07	0.89	0.87	3.91	0.93	0.87	2.80	0.89	0.87	0.37	52.20	51.84	51.25	0.03	0.92
13.50	2.55	0.98	0.91	4.31	0.93	0.93	3.95	0.94	0.93	2.60	0.93	0.91	0.59	51.67	51.08	50.72	0.02	0.94
5.00	2.43	0.98	0.96	–	0.97	0.97	–	0.97	0.97	2.41	0.97	0.96	0.02	51.62	51.61	50.64	0.00	0.97

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Equations (14)

Applied Optics