Electromagnetic scattering from two dielectric spheres: comparison between theory and experiment

George W. Kattawar; Cleon E. Dean

doi:10.1364/OL.8.000048

Optics Letters
Vol. 8,
Issue 1,
pp. 48-50
(1983)
•https://doi.org/10.1364/OL.8.000048

Electromagnetic scattering from two dielectric spheres: comparison between theory and experiment

George W. Kattawar and Cleon E. Dean

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George W. Kattawar and Cleon E. Dean, "Electromagnetic scattering from two dielectric spheres: comparison between theory and experiment," Opt. Lett. 8, 48-50 (1983)

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Abstract

A comparison is made between theoretical and experimental results for cooperative scattering between two spheres. The overall agreement between theory and experiment is quite good. Also, a large side-scattering resonance that was measured to be 44 times larger than that which is due to a single sphere was calculated actually to be 47.6 times larger.

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	Orientation Angle (°)

Size Parameter and Refractive Index	α	0	10	20	30	40	50	60	70	80	90
x = 3.120, N = 1.365, contacting	\|S(0)\|_E	15.96	14.79	13.78	13.08	13.08	13.44	14.13	14.86	15.07	14.97
	\|S(0)\|_T	17.28	16.61	15.09	13.85	13.56	13.85	14.43	15.14	15.45	15.44
	ϕ(0)_E	77.5	75.2	71.7	64.2	55.6	48.5	42.8	41.5	42.5	43.0
	ϕ(0)_T	77.2	76.0	71.6	63.6	54.9	48.6	44.5	42.9	43.6	44.4
	P_E	0.709	0.776	0.889	1.17	1.52	1.83	2.13	2.29	2.28	2.25
	P_T	0.785	0.825	0.978	1.27	1.60	1.88	2.11	2.28	2.30	2.27
	Q_E	3.20	2.94	2.69	2.42	2.22	2.07	1.97	2.02	2.09	2.10
	Q_T	3.46	3.31	2.94	2.55	2.28	2.13	2.08	2.18	2.19	2.22
x = 3.752, N = 1.366, contacting	\|S(0)\|_E	21.97	20.70	19.56	19.86	20.59	21.86	23.70	24.60	24.68	24.74
	\|S(0)\|_T	23.27	22.22	20.71	20.62	21.12	22.26	24.08	24.96	25.05	25.17
	ϕ(0)_E	109.5	103.2	90.0	77.5	67.2	59.6	56.4	55.0	55.2	55.6
	ϕ(0)_T	101.3	97.23	86.03	73.5	64.1	57.24	54.7	53.9	53.9	54.6
	P_E	−1.04	−0.671	0.0	0.611	1.13	1.57	1.86	2.00	2.00	1.99
	P_T	−0.649	−0.399	0.204	0.831	1.31	1.71	1.98	2.09	2.09	2.07
	Q_E	2.94	2.86	2.78	2.76	2.70	2.68	2.80	2.86	2.88	2.90
	Q_T	3.24	3.13	2.94	2.81	2.70	2.66	2.79	2.86	2.88	2.91
x = 4.678, N = 1.363, almost contacting, kd = 9.65	\|S(0)_E\|	27.06	28.29	31.86	33.70	36.46	39.22	41.83	43.18	43.56	43.18
	\|S(0)_T\|	23.51	24.19	27.61	30.70	34.66	39.12	41.67	42.78	42.95	43.31
	θ(0)_E	125.7	117.8	101.1	88.3	78.6	72.6	71.1	71.6	72.0	71.4
	θ(0)_T	130.0	120.0	100.4	86.0	74.7	69.9	68.4	69.3	68.3	68.5
	P_E	−1.44	−1.21	−0.556	0.091	0.659	1.07	1.24	1.25	1.23	1.26
	P_T	−1.38	−1.07	−0.457	0.193	0.838	1.23	1.40	1.38	1.45	1.45
	Q_E	2.01	2.29	2.86	3.08	3.27	3.42	3.62	3.74	3.79	3.74
	Q_T	1.64	1.93	2.48	2.80	3.05	3.36	3.54	3.66	3.65	3.68

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