Scattering of Electromagnetic Radiation by Infinitely Long, Hollow, and Coated Cylinders

Lawrence B. Evans; John C. Chen; Stuart W. Churchill

doi:10.1364/JOSA.54.001004

Journal of the Optical Society of America
Vol. 54,
Issue 8,
pp. 1004-1007
(1964)
•https://doi.org/10.1364/JOSA.54.001004

Scattering of Electromagnetic Radiation by Infinitely Long, Hollow, and Coated Cylinders

Lawrence B. Evans, John C. Chen, and Stuart W. Churchill

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Lawrence B. Evans, John C. Chen, and Stuart W. Churchill, "Scattering of Electromagnetic Radiation by Infinitely Long, Hollow, and Coated Cylinders," J. Opt. Soc. Am. 54, 1004-1007 (1964)

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Abstract

The scattering efficiency and backward component of the scattered flux have been calculated for infinitely long, hollow cylinders with real indices of refraction of 1.5, 2.0, and 2.5; ratios of inner diameter to outer diameter of 0.0, 0.01, 0.10, 0.50, 0.90, and 0.99; and outer circumference to wavelength ratios of 0.12(0.02) 6.00. Values were obtained for the cases of incident radiation parallel polarized and perpendicularly polarized. A generalized computer subroutine has been made available for the calculation of the amplitude functions, as well as the above functions, for any arbitrary values of the parameters.

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m₂=1.5						m₂=2.0						m₂=2.5

a/b	β	Q₁	Q₂	B₁	B₂	a/b	β	Q₁	Q₂	B₁	B₂	a/b	β	Q₁	Q₂	B₁	B₂

0.00	0.5	0.2755	0.0445	0.4634	0.4207	0.00	0.5	1.7308	0.1150	0.4696	0.3798	0.00	0.5	3.5370	0.1772	0.4788	0.3172
0.00	1.0	0.9430	0.2800	0.2968	0.1500	0.00	1.0	2.8630	1.1632	0.1580	0.0303	0.00	1.0	5.9393	2.9952	0.0837	0.3139
0.00	1.5	1.7808	1.0129	0.0463	0.0300	0.00	1.5	3.9710	2.8815	0.1377	0.1829	0.00	1.5	5.0906	3.5068	0.0957	0.1405
0.00	2.0	2.5041	1.8498	0.0852	0.0593	0.00	2.0	4.2933	3.6989	0.0937	0.1175	0.00	2.0	2.6153	1.5829	0.1930	0.3642
0.00	3.0	3.8564	3.3858	0.0631	0.0410	0.00	3.0	2.5830	1.6959	0.3129	0.3366	0.00	3.0	3.0601	2.1873	0.1809	0.1828
0.00	4.0	4.0798	3.7540	0.0650	0.0446	0.00	4.0	1.4451	1.9198	0.1896	0.3421	0.00	4.0	1.9292	1.8881	0.1089	0.1551
0.00	5.0	2.8334	2.9024	0.0747	0.0724	0.00	5.0	3.4989	3.1127	0.0553	0.0438	0.00	5.0	2.1685	1.8383	0.1975	0.2800
0.00	6.0	1.5845	1.6542	0.1632	0.1274	0.00	6.0	2.2026	1.9245	0.1604	0.1363	0.00	6.0	1.8492	1.9007	0.1625	0.1606
0.10	0.5	0.2687	0.0436	0.4629	0.4199	0.10	0.5	1.6914	0.1131	0.4690	0.3788	0.10	0.5	3.5017	0.1747	0.4781	0.3159
0.10	1.0	0.9234	0.2731	0.2936	0.1463	0.10	1.0	2.8452	1.1432	0.1540	0.0304	0.10	1.0	5.9346	2.9516	0.0853	0.3199
0.10	1.5	1.7608	0.9934	0.0464	0.0329	0.10	1.5	3.9457	2.7768	0.1453	0.1952	0.10	1.5	5.2376	3.8298	0.1002	0.1429
0.10	2.0	2.4736	1.7971	0.0925	0.0675	0.10	2.0	4.4169	3.8598	0.0811	0.0965	0.10	2.0	2.6054	1.6625	0.1817	0.3244
0.10	3.0	3.8656	3.3829	0.0596	0.0340	0.10	3.0	2.6265	1.8159	0.3233	0.3379	0.10	3.0	3.0305	2.0697	0.1230	0.1030
0.10	4.0	4.1094	3.7803	0.0691	0.0517	0.10	4.0	1.3249	1.7376	0.1807	0.3425	0.10	4.0	2.2236	2.5134	0.1862	0.2184
0.10	5.0	2.9381	3.0352	0.0642	0.0601	0.10	5.0	3.4427	2.9705	0.0880	0.0984	0.10	5.0	2.0425	1.5902	0.2191	0.3718
0.10	6.0	1.6230	1.7226	0.1595	0.1354	0.10	6.0	2.3243	2.1254	0.1403	0.1286	0.10	6.0	2.2865	2.5160	0.1141	0.0935
0.50	0.5	0.1386	0.0252	0.4512	0.4017	0.50	0.5	0.9015	0.0714	0.4551	0.3591	0.50	0.5	2.4329	0.1195	0.4604	0.2980
0.50	1.0	0.5274	0.1467	0.2334	0.0826	0.50	1.0	2.0889	0.6856	0.1152	0.0340	0.50	1.0	5.6196	2.4042	0.0868	0.3059
0.50	1.5	1.1752	0.5970	0.0614	0.0992	0.50	1.5	3.5733	1.8362	0.2101	0.3187	0.50	1.5	5.7627	1.9380	0.2104	0.3876
0.50	2.0	1.8272	1.0622	0.1832	0.2199	0.50	2.0	4.2306	2.1299	0.2153	0.2175	0.50	2.0	4.8139	3.7530	0.1820	0.1079
0.50	3.0	2.8750	2.0133	0.1138	0.0060	0.50	3.0	4.7460	4.6119	0.1312	0.0453	0.50	3.0	0.8606	2.4645	0.3076	0.3713
0.50	4.0	3.9193	3.4389	0.0530	0.0128	0.50	4.0	1.5757	2.8533	0.1619	0.2013	0.50	4.0	2.8284	0.6110	0.2366	0.6402
0.50	5.0	4.1269	4.2142	0.0411	0.0274	0.50	5.0	1.3661	0.8474	0.2795	0.4338	0.50	5.0	2.7912	3.1060	0.0398	0.0165
0.50	6.0	3.4732	3.9132	0.0999	0.0694	0.50	6.0	1.8305	0.5180	0.1640	0.1179	0.50	6.0	1.5289	2.9543	0.3245	0.1798
0.90	0.5	0.0073	0.0017	0.4246	0.3652	0.90	0.5	0.0440	0.0064	0.4251	0.3378	0.90	0.5	0.1422	0.0142	0.4257	0.3116
0.90	1.0	0.0310	0.0087	0.1630	0.0232	0.90	1.0	0.1725	0.0381	0.1364	0.0078	0.90	1.0	0.4993	0.1125	0.1009	0.0426
0.90	1.5	0.0704	0.0342	0.0632	0.1810	0.90	1.5	0.4534	0.2075	0.1105	0.3003	0.90	1.5	1.4365	0.6560	0.1710	0.3761
0.90	2.0	0.1558	0.0836	0.2468	0.3418	0.90	2.0	0.8637	0.3830	0.2407	0.4093	0.90	2.0	2.3828	0.7593	0.2235	0.4346
0.90	3.0	0.3416	0.1448	0.1026	0.0594	0.90	3.0	1.7607	0.7292	0.0672	0.1541	0.90	3.0	3.2646	1.5174	0.1023	0.2570
0.90	4.0	0.6722	0.2803	0.1918	0.2101	0.90	4.0	2.6520	0.9663	0.2018	0.1942	0.90	4.0	3.2100	1.8433	0.1812	0.2233
0.90	5.0	1.0181	0.4584	0.1138	0.1583	0.90	5.0	3.1641	1.4489	0.1907	0.1943	0.90	5.0	2.9299	2.2809	0.2299	0.1814
0.90	6.0	1.3035	0.5775	0.0872	0.1115	0.90	6.0	2.9354	1.6464	0.1271	0.0993	0.90	6.0	2.7373	2.8431	0.2208	0.0756
0.99	0.5	0.0001	0.0001	0.4168	0.3553	0.99	0.5	0.0005	0.0001	0.4168	0.3350	0.99	0.5	0.0014	0.0002	0.4169	0.3223
0.99	1.0	0.0004	0.0001	0.1511	0.0152	0.99	1.0	0.0019	0.0005	0.1485	0.0034	0.99	1.0	0.0057	0.0011	0.1451	0.0072
0.99	1.5	0.0007	0.0004	0.0606	0.1977	0.99	1.5	0.0041	0.0019	0.0649	0.2862	0.99	1.5	0.0128	0.0055	0.0707	0.3356
0.99	2.0	0.0016	0.0009	0.2661	0.3424	0.99	2.0	0.0093	0.0046	0.2659	0.4087	0.99	2.0	0.0288	0.0137	0.2654	0.4411
0.99	3.0	0.0035	0.0016	0.0924	0.0753	0.99	3.0	0.0202	0.0077	0.0926	0.1094	0.99	3.0	0.0633	0.0227	0.0922	0.1342
0.99	4.0	0.0071	0.0033	0.1938	0.2245	0.99	4.0	0.0418	0.0159	0.1924	0.2697	0.99	4.0	0.1301	0.0443	0.1906	0.2868
0.99	5.0	0.0115	0.0054	0.1626	0.2255	0.99	5.0	0.0683	0.0271	0.1583	0.2775	0.99	5.0	0.2162	0.0785	0.1538	0.3024
0.99	6.0	0.0161	0.0068	0.1058	0.1039	0.99	6.0	0.0954	0.0322	0.1007	0.1423	0.99	6.0	0.2985	0.0906	0.0983	0.1620

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Journal of the Optical Society of America