Evaluation of Mie Equations for Colored Spheres

Fred C. Chromey

doi:10.1364/JOSA.50.000730

Journal of the Optical Society of America
Vol. 50,
Issue 7,
pp. 730-737
(1960)
•https://doi.org/10.1364/JOSA.50.000730

Evaluation of Mie Equations for Colored Spheres

Fred C. Chromey

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Fred C. Chromey, "Evaluation of Mie Equations for Colored Spheres," J. Opt. Soc. Am. 50, 730-737 (1960)

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Abstract

Tables are given to enable the computation of the scattering and absorption of light by colored spheres. The parameters covered are α=0.2 (0.2) 2.0; $\bar{m}$ =0.50 (0.25) 3.00; and x=0 (0.1) 1.0.

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Equations (8)

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α	$\bar{m}$	x	n	Re a_n	Im a_n	−Re b_n	−Im b_n
0.2	0.50	0.0	1	−0.00603	−0.00001	−0.00198	0.00000
		0.1	1	−0.00524	−0.00047	−0.00001	0.00000
		0.2	1	−0.00528	−0.00093	−0.00001	0.00000
		0.3	1	−0.00534	−0.00141	−0.00001	0.00000
		0.4	1	−0.00543	−0.00190	−0.00001	0.00000
		0.5	1	−0.00555	−0.00240	−0.00001	0.00000
		0.6	1	−0.00569	−0.00294	−0.00001	0.00000
		0.7	1	−0.00586	−0.00350	−0.00001	0.00000
		0.8	1	−0.00604	−0.00411	−0.00001	0.00000
		0.9	1	−0.00625	−0.00476	−0.00001	0.00000
		1.0	1	−0.00648	−0.00546	−0.00002	−0.00001
0.2	0.75	0.0	1	−0.00269	0.00000	0.00000	0.00000
		0.1	1	−0.00270	−0.00081	0.00000	0.00000
		0.2	1	−0.00271	−0.00163	0.00000	0.00000
		0.3	1	−0.00274	−0.00247	−0.00001	0.00000
		0.4	1	−0.00276	−0.00335	−0.00001	0.00000
		0.5	1	−0.00279	−0.00428	−0.00001	−0.00001
		0.6	1	−0.00280	−0.00526	−0.00001	−0.00001
		0.7	1	−0.00279	−0.00632	−0.00001	−0.00001
		0.8	1	−0.00273	−0.00747	−0.00001	−0.00001

2.0	3.00	0.0	1	1.27562	−0.71083	0.53457	−0.09849
			2	0.13673	0.00374	1.11221	0.26103
			3	0.76630	−0.08492	−0.87673	−0.11158
			4	−0.03900	0.00016	−0.03614	0.00014
			5	0.00173	0.00000	0.00119	0.00000
		0.1	1	0.85532	−1.03052	−0.54626	−1.40010
			2	−0.39627	1.36530	0.94394	0.55650
			3	0.59807	−0.24868	−0.31553	−0.39457
			4	−0.03879	0.00363	−0.02274	0.02029
			5	0.00122	0.00039	0.00086	0.00009
		0.2	1	0.70900	−1.20984	−0.79950	−1.51058
			2	−0.75542	1.73746	0.83556	0.67817
			3	0.50454	−0.24859	−0.16246	−0.27711
			4	−0.03851	0.00641	−0.00848	0.02152
			5	0.00114	−0.00018	0.00063	−0.00037
		0.3	1	0.68698	−1.30196	−0.89016	−1.51248
			2	−0.90675	1.88677	0.78108	0.68686
			3	0.47898	−0.24423	−0.12879	−0.21193
			4	−0.03854	0.00842	−0.00133	0.01866
			5	0.00148	0.00023	0.00082	−0.00030
		0.4	1	0.71054	−1.35570	−0.94248	−1.49292
			2	−0.98098	1.98285	0.75927	0.65222
			3	0.47801	−0.24680	−0.12231	−0.17413
			4	−0.03901	0.00971	0.00242	0.01605
			5	0.00109	−0.00081	0.00042	−0.00057
		0.5	1	0.75014	−1.39173	−0.98523	−1.47169
			2	−1.03392	2.06418	0.75573	0.60727
			3	0.48780	−0.25109	−0.12407	−0.14901
			4	−0.03989	0.01053	0.00480	0.01413
			5	0.00149	−0.00052	0.00058	−0.00052
		0.6	1	0.79549	−1.41738	−1.02518	−1.45437
			2	−1.08628	2.13886	0.76225	0.56377
			3	0.50286	−0.25365	−0.12859	−0.13060
			4	−0.04088	0.01088	0.00649	0.01261
			5	0.00171	−0.00008	0.00070	−0.00041
		0.7	1	0.84261	−1.43529	−1.06343	−1.44219
			2	−1.14485	2.20697	0.77427	0.52511
			3	0.52013	−0.25292	−0.13397	−0.11623
			4	−0.04187	0.01082	0.00782	0.01137
			5	0.00000	0.00000	0.00000	0.00000
		0.8	1	0.88958	−1.44664	−1.09975	−1.43488
			2	−1.21073	2.26675	0.78922	0.49175
			3	0.53754	−0.24859	−0.13950	−0.10456
			4	−0.04288	0.01047	0.00884	0.01036
		0.9	1	0.93520	−1.45226	−1.13375	−1.43173
			2	−1.28266	2.31657	0.80558	0.46326
			3	0.55367	−0.24107	−0.14490	−0.09482
			4	−0.04364	0.01000	0.00982	0.00950
		10.0	1	0.97866	−1.45293	−1.16520	−1.43195
			2	−1.35845	2.35554	0.82248	0.43899
			3	0.56766	−0.23114	−0.15008	−0.08653
			4	−0.04440	0.00928	0.01062	0.00878

α	$\bar{m}$	x	n	Re a_n	Im a_n	−Re b_n	−Im b_n
0.2	0.50	0.0	1	−0.00603	−0.00001	−0.00198	0.00000
		0.1	1	−0.00524	−0.00047	−0.00001	0.00000
		0.2	1	−0.00528	−0.00093	−0.00001	0.00000
		0.3	1	−0.00534	−0.00141	−0.00001	0.00000
		0.4	1	−0.00543	−0.00190	−0.00001	0.00000
		0.5	1	−0.00555	−0.00240	−0.00001	0.00000
		0.6	1	−0.00569	−0.00294	−0.00001	0.00000
		0.7	1	−0.00586	−0.00350	−0.00001	0.00000
		0.8	1	−0.00604	−0.00411	−0.00001	0.00000
		0.9	1	−0.00625	−0.00476	−0.00001	0.00000
		1.0	1	−0.00648	−0.00546	−0.00002	−0.00001
0.2	0.75	0.0	1	−0.00269	0.00000	0.00000	0.00000
		0.1	1	−0.00270	−0.00081	0.00000	0.00000
		0.2	1	−0.00271	−0.00163	0.00000	0.00000
		0.3	1	−0.00274	−0.00247	−0.00001	0.00000
		0.4	1	−0.00276	−0.00335	−0.00001	0.00000
		0.5	1	−0.00279	−0.00428	−0.00001	−0.00001
		0.6	1	−0.00280	−0.00526	−0.00001	−0.00001
		0.7	1	−0.00279	−0.00632	−0.00001	−0.00001
		0.8	1	−0.00273	−0.00747	−0.00001	−0.00001

2.0	3.00	0.0	1	1.27562	−0.71083	0.53457	−0.09849
			2	0.13673	0.00374	1.11221	0.26103
			3	0.76630	−0.08492	−0.87673	−0.11158
			4	−0.03900	0.00016	−0.03614	0.00014
			5	0.00173	0.00000	0.00119	0.00000
		0.1	1	0.85532	−1.03052	−0.54626	−1.40010
			2	−0.39627	1.36530	0.94394	0.55650
			3	0.59807	−0.24868	−0.31553	−0.39457
			4	−0.03879	0.00363	−0.02274	0.02029
			5	0.00122	0.00039	0.00086	0.00009
		0.2	1	0.70900	−1.20984	−0.79950	−1.51058
			2	−0.75542	1.73746	0.83556	0.67817
			3	0.50454	−0.24859	−0.16246	−0.27711
			4	−0.03851	0.00641	−0.00848	0.02152
			5	0.00114	−0.00018	0.00063	−0.00037
		0.3	1	0.68698	−1.30196	−0.89016	−1.51248
			2	−0.90675	1.88677	0.78108	0.68686
			3	0.47898	−0.24423	−0.12879	−0.21193
			4	−0.03854	0.00842	−0.00133	0.01866
			5	0.00148	0.00023	0.00082	−0.00030
		0.4	1	0.71054	−1.35570	−0.94248	−1.49292
			2	−0.98098	1.98285	0.75927	0.65222
			3	0.47801	−0.24680	−0.12231	−0.17413
			4	−0.03901	0.00971	0.00242	0.01605
			5	0.00109	−0.00081	0.00042	−0.00057
		0.5	1	0.75014	−1.39173	−0.98523	−1.47169
			2	−1.03392	2.06418	0.75573	0.60727
			3	0.48780	−0.25109	−0.12407	−0.14901
			4	−0.03989	0.01053	0.00480	0.01413
			5	0.00149	−0.00052	0.00058	−0.00052
		0.6	1	0.79549	−1.41738	−1.02518	−1.45437
			2	−1.08628	2.13886	0.76225	0.56377
			3	0.50286	−0.25365	−0.12859	−0.13060
			4	−0.04088	0.01088	0.00649	0.01261
			5	0.00171	−0.00008	0.00070	−0.00041
		0.7	1	0.84261	−1.43529	−1.06343	−1.44219
			2	−1.14485	2.20697	0.77427	0.52511
			3	0.52013	−0.25292	−0.13397	−0.11623
			4	−0.04187	0.01082	0.00782	0.01137
			5	0.00000	0.00000	0.00000	0.00000
		0.8	1	0.88958	−1.44664	−1.09975	−1.43488
			2	−1.21073	2.26675	0.78922	0.49175
			3	0.53754	−0.24859	−0.13950	−0.10456
			4	−0.04288	0.01047	0.00884	0.01036
		0.9	1	0.93520	−1.45226	−1.13375	−1.43173
			2	−1.28266	2.31657	0.80558	0.46326
			3	0.55367	−0.24107	−0.14490	−0.09482
			4	−0.04364	0.01000	0.00982	0.00950
		10.0	1	0.97866	−1.45293	−1.16520	−1.43195
			2	−1.35845	2.35554	0.82248	0.43899
			3	0.56766	−0.23114	−0.15008	−0.08653
			4	−0.04440	0.00928	0.01062	0.00878

$\bar{m}$
x	α	0.50	0.75	1.00	1.25	1.50	1.75	2.00	2.25	2.50	2.75	3.00
0.0	0.2	0.0017	0.0003	0.0000	0.0003	0.0009	0.0018	0.0027	0.0036	0.0044	0.0052	0.0058
		0.0017	0.0003	0.0000	0.0003	0.0009	0.0018	0.0027	0.0036	0.0044	0.0052	0.0058
	0.4	0.0082	0.0022	0.0000	0.0021	0.0074	0.0147	0.0227	0.0306	0.0381	0.0449	0.0511
		0.0082	0.0022	0.0000	0.0021	0.0074	0.0147	0.0227	0.0306	0.0381	0.0449	0.0511
	0.6	0.0237	0.0067	0.0000	0.0067	0.0252	0.0513	0.0815	0.1130	0.1440	0.1738	0.2023
		0.0237	0.0067	0.0000	0.0067	0.0252	0.0513	0.0815	0.1130	0.1440	0.1738	0.2023
	0.8	0.0460	0.0136	0.0000	0.0151	0.0585	0.1241	0.2040	0.2928	0.3885	0.4958	0.6353
		0.0460	0.0136	0.0000	0.0151	0.0585	0.1241	0.2040	0.2928	0.3885	0.4958	0.6353
	1.0	0.0722	0.0223	0.0000	0.0268	0.1075	0.2345	0.3984	0.6060	0.9274	1.7946	4.0734
		0.0722	0.0223	0.0000	0.0268	0.1075	0.2345	0.3984	0.6060	0.9274	1.7946	4.0734
	1.2	0.0991	0.0318	0.0000	0.0406	0.1646	0.3650	0.6705	1.3483	2.6796	2.2165	1.9926
		0.0991	0.0318	0.0000	0.0406	0.1646	0.3650	0.6705	1.3483	2.6796	2.2165	1.9926
	1.4	0.1251	0.0416	0.0000	0.0544	0.2211	0.5292	1.2373	1.8317	1.6047	1.5482	1.7249
		0.1251	0.0416	0.0000	0.0544	0.2211	0.5292	1.2373	1.8317	1.6047	1.5482	1.7249
	1.6	0.1490	0.0512	0.0000	0.0675	0.2857	0.7929	1.2945	1.2595	1.3454	1.4413	0.5197
		0.1490	0.0512	0.0000	0.0675	0.2857	0.7929	1.2945	1.2595	1.3454	1.4413	0.5197
	1.8	0.1707	0.0604	0.0000	0.0809	0.3747	0.8742	1.0335	1.3792	1.1225	0.6826	0.8086
		0.1707	0.0604	0.0000	0.0809	0.3747	0.8742	1.0335	1.3792	1.1225	0.6826	0.8086
	2.0	0.1898	0.0693	0.0000	0.0968	0.4496	0.7960	1.1926	1.1876	0.9004	0.7290	0.1589
		0.1898	0.0693	0.0000	0.0968	0.4496	0.7960	1.1926	1.1876	0.9004	0.7290	0.1589
0.1	0.2	0.0590	0.1017	0.1331	0.1471	0.1534	0.1491	0.1411	0.1315	0.1213	0.1117	0.1031
		0.0012	0.0003	0.0000	0.0003	0.0010	0.0019	0.0028	0.0037	0.0045	0.0053	0.0059
	0.4	0.0630	0.1006	0.1333	0.1561	0.1697	0.1766	0.1794	0.1800	0.1798	0.1800	0.1808
		0.0083	0.0024	0.0004	0.0026	0.0081	0.0154	0.0235	0.0314	0.0389	0.0457	0.0518
	0.6	0.0739	0.1006	0.1325	0.1669	0.2014	0.2354	0.2685	0.3015	0.3354	0.3721	0.4145
		0.0238	0.0072	0.0011	0.0083	0.0269	0.0531	0.0831	0.1142	0.1449	0.1743	0.2025
	0.8	0.0915	0.1029	0.1313	0.1807	0.2488	0.3320	0.4278	0.5372	0.6678	0.8380	1.0883
		0.0460	0.0145	0.0023	0.0180	0.0606	0.1238	0.2004	0.2851	0.3759	0.4754	0.5941
	1.0	0.1132	0.1063	0.1296	0.1954	0.3053	0.4563	0.6517	0.9146	1.3072	1.8838	2.3455
		0.0714	0.0232	0.0038	0.0307	0.1059	0.2211	0.3674	0.5456	0.7771	1.0946	1.3946
	1.2	0.1358	0.1112	0.1277	0.2087	0.3602	0.5864	0.9189	1.4016	1.8205	1.8734	1.8031
		0.0970	0.0324	0.0054	0.0441	0.1525	0.3205	0.5514	0.8695	1.1806	1.2812	1.2337
	1.4	0.1574	0.1165	0.1258	0.2196	0.4091	0.7142	1.1295	1.3970	1.4208	1.3882	1.3056
		0.1211	0.0413	0.0069	0.0562	0.1928	0.4137	0.7184	0.9508	0.9850	0.8838	0.6700
	1.6	0.1770	0.1221	0.1242	0.2290	0.4547	0.7949	1.0602	1.1517	1.2035	1.1074	0.9266
		0.1427	0.0496	0.0083	0.0666	0.2302	0.4906	0.7179	0.7798	0.7197	0.5635	0.4352
	1.8	0.1942	0.1222	0.1224	0.2377	0.4892	0.7816	0.9664	1.1013	1.0342	0.9073	0.8097
		0.1617	0.0571	0.0095	0.0764	0.2652	0.5066	0.6430	0.6690	0.5733	0.4583	0.3469
	2.0	0.2089	0.1315	0.1206	0.2456	0.5027	0.7600	0.9679	0.9702	0.8357	0.7037	0.6274
		0.1780	0.0639	0.0107	0.0863	0.2883	0.4938	0.6118	0.5820	0.4473	0.3003	0.2615
0.2	0.2	0.1174	0.2045	0.2678	0.3015	0.3061	0.2953	0.2763	0.2545	0.2332	0.2130	0.1949
		0.0012	0.0001	0.0004	0.0005	0.0013	0.0022	0.0031	0.0040	0.0049	0.0056	0.0062
	0.4	0.1196	0.2004	0.2678	0.3107	0.3315	0.3368	0.3332	0.3256	0.3172	0.3100	0.3052
		0.0086	0.0031	0.0014	0.0042	0.0101	0.0178	0.0261	0.0342	0.0416	0.0484	0.0544
	0.6	0.1244	0.1946	0.2646	0.3258	0.3757	0.4168	0.4523	0.4859	0.5212	0.5620	0.6125
		0.0245	0.0090	0.0044	0.0132	0.0333	0.0605	0.0912	0.1227	0.1533	0.1825	0.2101
	0.8	0.1373	0.1908	0.2596	0.3412	0.4324	0.5320	0.6413	0.7651	0.9125	1.0971	1.3323
		0.0470	0.0178	0.0089	0.0279	0.0727	0.1366	0.2126	0.2953	0.3822	0.4735	0.5716
	1.0	0.1549	0.1884	0.2531	0.3530	0.4876	0.6566	0.8649	1.1241	1.4373	1.7512	1.9534
		0.0723	0.0280	0.0143	0.0456	0.1209	0.2308	0.3656	0.5201	0.6923	0.8687	1.0107
	1.2	0.1730	0.1879	0.2459	0.3591	0.5289	0.7567	1.0417	1.3454	1.5540	1.6186	1.5940
		0.0972	0.0382	0.0197	0.0625	0.1643	0.3116	0.4924	0.6876	0.8451	0.9148	0.8922
	1.4	0.1902	0.1882	0.2388	0.3606	0.5544	0.8098	1.0675	1.2233	1.2656	1.2425	1.1719
		0.1199	0.0475	0.0243	0.0760	0.1959	0.3650	0.5484	0.6769	0.7087	0.6569	0.5646
	1.6	0.2057	0.1887	0.2323	0.3596	0.5654	0.8010	0.9711	1.0507	1.0648	1.0182	0.9586
		0.1398	0.0556	0.0282	0.0863	0.2186	0.3884	0.5223	0.5692	0.5407	0.4803	0.4346
	1.8	0.2188	0.1894	0.2260	0.3569	0.5618	0.7622	0.8974	0.9583	0.9356	0.8803	0.8302
		0.1568	0.0626	0.0314	0.0950	0.2343	0.3853	0.4748	0.4892	0.4537	0.4073	0.3746
	2.0	0.2307	0.1896	0.2198	0.3521	0.5497	0.7311	0.8423	0.8470	0.7919	0.7357	0.7113
		0.1709	0.0687	0.0343	0.1026	0.2427	0.3733	0.4374	0.4271	0.3762	0.3326	0.3299
0.3	0.2	0.1768	0.3103	0.4060	0.4512	0.4558	0.4363	0.4043	0.3691	0.3349	0.3037	0.2762
		0.0013	0.0006	0.0004	0.0009	0.0017	0.0027	0.0037	0.0046	0.0054	0.0061	0.0067
	0.4	0.1751	0.3023	0.4052	0.4670	0.4925	0.4933	0.4808	0.4630	0.4450	0.4295	0.4182
		0.0091	0.0042	0.0033	0.0069	0.0136	0.0219	0.0305	0.0387	0.0462	0.0528	0.0586
	0.6	0.1756	0.2900	0.3981	0.4850	0.5488	0.5948	0.6303	0.6618	0.6951	0.7349	0.7855
		0.0258	0.0121	0.0099	0.0215	0.0442	0.0736	0.1056	0.1378	0.1686	0.1975	0.2243
	0.8	0.1836	0.2786	0.3867	0.4984	0.6104	0.7235	0.8416	0.9701	1.1151	1.2798	1.4579
		0.0491	0.0235	0.0197	0.0442	0.0938	0.1610	0.2385	0.3207	0.4045	0.4884	0.5712
	1.0	0.1966	0.2696	0.3719	0.5014	0.6557	0.8342	1.0381	1.2638	1.4908	1.6779	1.7908
		0.0747	0.0362	0.0308	0.0696	0.1490	0.2578	0.3852	0.5220	0.6589	0.7814	0.8721
	1.2	0.2104	0.2626	0.3563	0.4942	0.6731	0.8856	1.1126	1.3104	1.4333	1.4763	1.4626
		0.0994	0.0482	0.0408	0.0912	0.1916	0.3252	0.4735	0.6128	0.7142	0.7602	0.7536
	1.4	0.2236	0.2571	0.3415	0.4814	0.6669	0.8709	1.0430	1.1424	1.1737	1.1599	1.1219
		0.1212	0.0586	0.0488	0.1061	0.2163	0.3532	0.4818	0.5660	0.5921	0.5745	0.5415
	1.6	0.2351	0.2524	0.3278	0.4662	0.6457	0.8174	0.9344	0.9905	0.9990	0.9787	0.9523
		0.1398	0.0672	0.0548	0.1160	0.2289	0.3534	0.4444	0.4818	0.4783	0.4605	0.4481
	1.8	0.2443	0.2483	0.3149	0.4497	0.6177	0.7635	0.8566	0.8929	0.8856	0.8609	0.8375
		0.1552	0.0741	0.0594	0.1232	0.2345	0.3414	0.4056	0.4246	0.4177	0.4053	0.4007
	2.0	0.2511	0.2433	0.3026	0.4324	0.5885	0.7157	0.7830	0.7904	0.7683	0.7453	0.7339
		0.1676	0.0798	0.0632	0.1287	0.2354	0.3265	0.3722	0.3769	0.3638	0.3555	0.3615
0.4	0.2	0.2382	0.4205	0.5490	0.6041	0.6027	0.5681	0.5202	0.4693	0.4218	0.3793	0.3427
		0.0014	0.0008	0.0008	0.0014	0.0023	0.0034	0.0044	0.0053	0.0061	0.0067	0.0073
	0.4	0.2288	0.4074	0.5469	0.6257	0.6517	0.6436	0.6184	0.5878	0.5583	0.5335	0.5150
		0.0099	0.0057	0.0060	0.0109	0.0187	0.0277	0.0367	0.0450	0.0523	0.0587	0.0641
	0.6	0.2279	0.3879	0.5345	0.6459	0.7206	0.7679	0.7994	0.8249	0.8518	0.8849	0.9275
		0.0278	0.0165	0.0179	0.0335	0.0599	0.0922	0.1261	0.1591	0.1899	0.2181	0.2439
	0.8	0.2306	0.3678	0.5137	0.6535	0.7834	0.9059	1.0265	1.1502	1.2793	1.4108	1.5345
		0.0523	0.0316	0.0348	0.0671	0.1236	0.1960	0.2763	0.3588	0.4398	0.5172	0.5886
	1.0	0.2391	0.3502	0.4875	0.6423	0.8106	0.9907	1.1789	1.3525	1.5269	1.6455	1.7123
		0.0787	0.0477	0.0526	0.1016	0.1876	0.2981	0.4206	0.5370	0.6585	0.7526	0.8184
	1.2	0.2483	0.3358	0.4604	0.6167	0.7963	0.9860	1.1625	1.2972	1.3747	1.4008	1.3916
		0.1035	0.0621	0.0675	0.1273	0.2291	0.3533	0.4795	0.5876	0.6618	0.6977	0.7030
	1.4	0.2575	0.3237	0.4353	0.5859	0.7569	0.9188	1.0393	1.1054	1.1263	1.1187	1.0984
		0.1248	0.0738	0.0781	0.1424	0.2464	0.3618	0.4601	0.5223	0.5473	0.5483	0.5421
	1.6	0.2649	0.3128	0.4127	0.5548	0.7098	0.8398	0.9233	0.9622	0.9693	0.9599	0.9458
		0.1424	0.0829	0.0853	0.1505	0.2502	0.3482	0.4168	0.4500	0.4596	0.4608	0.4633
	1.8	0.2703	0.3028	0.3921	0.5309	0.6644	0.7740	0.8393	0.8642	0.8630	0.8514	0.8392
		0.1565	0.0898	0.0904	0.1525	0.2487	0.3309	0.3817	0.4040	0.4108	0.4139	0.4196
	2.0	0.2736	0.2934	0.3727	0.4960	0.6214	0.7127	0.7575	0.7659	0.7578	0.7480	0.7415
		0.1674	0.0951	0.0942	0.1579	0.2442	0.3131	0.3504	0.3635	0.3669	0.3718	0.3809
0.5	0.2	0.3019	0.5367	0.6980	0.7603	0.7456	0.6902	0.6203	0.5523	0.4905	0.4370	0.3921
		0.0015	0.0011	0.0013	0.0021	0.0032	0.0043	0.0053	0.0062	0.0069	0.0075	0.0080
	0.4	0.2902	0.5186	0.6948	0.7868	0.8071	0.7839	0.7415	0.6951	0.6526	0.6178	0.5991
		0.0109	0.0079	0.0097	0.0162	0.0253	0.0352	0.0444	0.0526	0.0596	0.0655	0.0705
	0.6	0.2821	0.4894	0.6752	0.8089	0.8902	0.9336	0.9561	0.9709	0.9866	1.0080	1.0369
		0.0303	0.0225	0.0285	0.0495	0.0806	0.1163	0.1521	0.1857	0.2161	0.2431	0.2671
	0.8	0.2788	0.4584	0.6429	0.8076	0.9515	1.0783	1.1948	1.3058	1.4117	1.5084	1.5887
		0.0566	0.0423	0.0544	0.0965	0.1620	0.2409	0.3247	0.4075	0.4855	0.5565	0.6185
	1.0	0.2815	0.4310	0.6007	0.7768	0.9537	1.1286	1.2956	1.4436	1.5597	1.6364	1.6750
		0.0843	0.0624	0.0798	0.1407	0.2353	0.3489	0.4680	0.5812	0.6793	0.7557	0.8077
	1.2	0.2867	0.4079	0.5595	0.7287	0.9030	1.0678	1.2043	1.2983	1.3483	1.3635	1.3563
		0.1095	0.0795	0.0989	0.1693	0.2737	0.3908	0.5012	0.5897	0.6490	0.6809	0.6939
	1.4	0.2918	0.3884	0.5225	0.6779	0.8321	0.9608	1.0474	1.0919	1.1051	1.1001	1.0875
		0.1305	0.0924	0.1111	0.1825	0.2820	0.3822	0.4619	0.5123	0.5374	0.5481	0.5543
	1.6	0.2952	0.3714	0.4900	0.6309	0.7645	0.8655	0.9260	0.9530	0.9581	0.9522	0.9424
		0.1473	0.1018	0.1183	0.1873	0.2775	0.3587	0.4146	0.4457	0.4615	0.4712	0.4802
	1.8	0.2971	0.3556	0.4604	0.5882	0.7056	0.7897	0.8367	0.8546	0.8552	0.8487	0.8405
		0.1602	0.1084	0.1228	0.1886	0.2700	0.3374	0.3806	0.4044	0.4177	0.4275	0.4372
	2.0	0.2979	0.3411	0.4333	0.5485	0.6507	0.7182	0.7500	0.7579	0.7552	0.7500	0.7451
		0.1699	0.1132	0.1255	0.1879	0.2607	0.3166	0.3495	0.3666	0.3774	0.3873	0.3977
0.6	0.2	0.3688	0.6604	0.8535	0.9140	0.8757	0.7926	0.6998	0.6131	0.5378	0.4748	0.4232
		0.0017	0.0015	0.0020	0.0030	0.0042	0.0054	0.0063	0.0072	0.0078	0.0083	0.0087
	0.4	0.3537	0.6361	0.8494	0.9488	0.9550	0.9095	0.8453	0.7810	0.7249	0.6801	0.6471
		0.0121	0.0107	0.0146	0.0231	0.0336	0.0441	0.0534	0.0612	0.0677	0.0729	0.0773
	0.6	0.3379	0.5956	0.8216	0.9743	1.0558	1.0887	1.0964	1.0957	1.0963	1.1024	1.1146
		0.0336	0.0302	0.0423	0.0698	0.1065	0.1457	0.1830	0.2165	0.2457	0.2708	0.2925
	0.8	0.3288	0.5521	0.7724	0.9610	1.1143	1.2395	1.3457	1.4381	1.5177	1.5822	1.6284
		0.0621	0.0557	0.0788	0.1329	0.2088	0.2950	0.3821	0.4644	0.5386	0.6028	0.6562
	1.0	0.3263	0.5126	0.7124	0.9056	1.0858	1.2504	1.3942	1.5097	1.5916	1.6399	1.6597
		0.0914	0.0804	0.1120	0.1867	0.2909	0.4080	0.5240	0.6284	0.7142	0.7784	0.8217
	1.2	0.3263	0.4795	0.6545	0.8314	0.9963	1.1368	1.2419	1.3078	1.3397	1.3472	1.3403
		0.1173	0.1001	0.1346	0.2158	0.3232	0.4347	0.5330	0.6083	0.6587	0.6888	0.7061
	1.4	0.3267	0.4516	0.6040	0.7599	0.8970	0.9992	1.0617	1.0910	1.0979	1.0927	1.0830
		0.1382	0.1140	0.1469	0.2250	0.3210	0.4100	0.4774	0.5207	0.5459	0.5613	0.5736
	1.6	0.3260	0.4276	0.5606	0.6978	0.8132	0.8924	0.9364	0.9542	0.9562	0.9503	0.9412
		0.1543	0.1232	0.1529	0.2251	0.3083	0.3783	0.4264	0.4559	0.4743	0.4877	0.4991
	1.8	0.3240	0.4056	0.5216	0.6432	0.7427	0.8083	0.8426	0.8550	0.8550	0.8496	0.8423
		0.1662	0.1293	0.1557	0.2224	0.2954	0.3534	0.3919	0.4160	0.4321	0.4446	0.4556
	2.0	0.3213	0.3853	0.4866	0.5935	0.6776	0.7288	0.7520	0.7583	0.7570	0.7528	0.7478
		0.1746	0.1331	0.1565	0.2177	0.2815	0.3293	0.3595	0.3784	0.3922	0.4040	0.4146
0.7	0.2	0.4395	0.7932	1.0158	1.0625	0.9890	0.8730	0.7548	0.6505	0.5638	0.4935	0.4372
		0.0019	0.0020	0.0028	0.0041	0.0054	0.0066	0.0075	0.0082	0.0087	0.0091	0.0094
	0.4	0.4188	0.7613	1.0112	1.1091	1.0904	1.0152	0.9257	0.8425	0.7735	0.7200	0.6809
		0.0137	0.0143	0.0208	0.0316	0.0435	0.0543	0.0633	0.0704	0.0760	0.0804	0.0840
	0.6	0.3962	0.7076	0.9740	1.1406	1.2144	1.2291	1.2162	1.1961	1.1788	1.1680	1.1630
		0.0377	0.0399	0.0597	0.0950	0.1376	0.1798	0.2176	0.2500	0.2770	0.2994	0.3181
	0.8	0.3804	0.6489	0.9054	1.1136	1.2706	1.3881	1.4780	1.5479	1.6006	1.6364	1.6555
		0.0689	0.0721	0.1086	0.1767	0.2640	0.3571	0.4465	0.5269	0.5960	0.6529	0.6979
	1.0	0.3717	0.5954	0.8232	1.0291	1.2076	1.3580	1.4783	1.5659	1.6215	1.6491	1.6554
		0.1001	0.1018	0.1495	0.2391	0.3532	0.4736	0.5863	0.6825	0.7580	0.8129	0.8499
	1.2	0.3665	0.5509	0.7460	0.9261	1.0785	1.1960	1.2758	1.3212	1.3402	1.3418	1.3340
		0.1268	0.1239	0.1740	0.2661	0.3762	0.4826	0.5714	0.6371	0.6815	0.7102	0.7295
	1.4	0.3623	0.5138	0.6810	0.8340	0.9541	1.0344	1.0784	1.0959	1.0973	1.0915	1.0803
		0.1477	0.1382	0.1849	0.2691	0.3619	0.4422	0.5009	0.5395	0.5643	0.5836	0.5952
	1.6	0.3572	0.4819	0.6259	0.7578	0.8572	0.9192	0.9501	0.9601	0.9593	0.9515	0.9406
		0.1631	0.1468	0.1885	0.2635	0.3413	0.4034	0.4462	0.4741	0.4954	0.5089	0.5193
	1.8	0.3512	0.4535	0.5775	0.6921	0.7769	0.8281	0.8527	0.8623	0.8583	0.8520	0.8440
		0.1740	0.1518	0.1888	0.2562	0.3233	0.3750	0.4102	0.4368	0.4506	0.4638	0.4749
	2.0	0.3451	0.4272	0.5344	0.6329	0.7028	0.7419	0.7610	0.7626	0.7606	0.7559	0.7501
		0.1813	0.1543	0.1870	0.2473	0.3048	0.3473	0.3786	0.3949	0.4096	0.4218	0.4322
0.8	0.2	0.5150	0.9365	1.1801	1.1969	1.0801	0.9267	0.7842	0.6651	0.5701	0.4953	0.4368
		0.0022	0.0026	0.0038	0.0054	0.0068	0.0078	0.0086	0.0091	0.0095	0.0098	0.0101
	0.4	0.4872	0.8962	1.1794	1.2632	1.2075	1.0962	0.9799	0.8792	0.7991	0.7389	0.6956
		0.0156	0.0189	0.0286	0.0419	0.0548	0.0654	0.0734	0.0795	0.0840	0.0875	0.0902
	0.6	0.4573	0.8265	1.1325	1.3056	1.3618	1.3502	1.3118	1.2699	1.2341	1.2066	1.1858
		0.0427	0.0518	0.0811	0.1253	0.1735	0.2176	0.2546	0.2844	0.3082	0.3272	0.3424
	0.8	0.4334	0.7495	1.0414	1.2644	1.4188	1.5221	1.5910	1.6360	1.6624	1.6730	1.6702
		0.0770	0.0919	0.1441	0.2279	0.3269	0.4259	0.5157	0.5923	0.6548	0.7037	0.7404
	1.0	0.4184	0.6798	0.9331	1.1471	1.3192	1.4526	1.5499	1.6135	1.6479	1.6596	1.6554
		0.1104	0.1267	0.1923	0.2976	0.4212	0.5438	0.6523	0.7404	0.8069	0.8540	0.8859
	1.2	0.4077	0.6225	0.8344	1.0135	1.1509	1.2470	1.3060	1.3355	1.3447	1.3415	1.3319
		0.1381	0.1507	0.2170	0.3194	0.4315	0.5330	0.6136	0.6720	0.7118	0.7387	0.7585
	1.4	0.3984	0.5751	0.7540	0.9012	1.0047	1.0659	1.0947	1.1026	1.0988	1.0895	1.0782
		0.1589	0.1648	0.2248	0.3142	0.4040	0.4770	0.5291	0.5640	0.5877	0.6051	0.6192
	1.6	0.3888	0.5348	0.6870	0.8123	0.8972	0.9444	0.9643	0.9673	0.9613	0.9511	0.9394
		0.1736	0.1722	0.2249	0.3022	0.3756	0.4318	0.4704	0.4964	0.5147	0.5287	0.5400
	1.8	0.3785	0.4990	0.6291	0.7363	0.8082	0.8478	0.8642	0.8669	0.8623	0.8544	0.8450
		0.1834	0.1756	0.2219	0.2900	0.3527	0.3998	0.4324	0.4549	0.4713	0.4840	0.4943
	2.0	0.3675	0.4670	0.5779	0.6683	0.7263	0.7559	0.7670	0.7682	0.7645	0.7586	0.7518
		0.1896	0.1764	0.2170	0.2766	0.3296	0.3683	0.3949	0.4139	0.4284	0.4402	0.4499
0.9	0.2	0.5963	1.0915	1.3482	1.3151	1.1425	0.9525	0.7890	0.6597	0.5600	0.4838	0.4255
		0.0026	0.0034	0.0051	0.0068	0.0082	0.0091	0.0096	0.0100	0.0103	0.0105	0.0106
	0.4	0.5617	1.0416	1.3521	1.4054	1.3004	1.1491	1.0075	0.8922	0.8044	0.7401	0.6945
		0.0180	0.0245	0.0381	0.0537	0.0670	0.0767	0.0834	0.0880	0.0913	0.0938	0.0956
	0.6	0.5220	0.9533	1.2967	1.4660	1.4931	1.4480	1.3812	1.3170	1.2637	1.2213	1.1874
		0.0486	0.0665	0.1071	0.1608	0.2136	0.2577	0.2921	0.3181	0.3378	0.3528	0.3644
	0.8	0.4886	0.8547	1.1802	1.4121	1.5566	1.6396	1.6836	1.7028	1.7046	1.6936	1.6731
		0.0866	0.1154	0.1859	0.2867	0.3966	0.4994	0.5871	0.6577	0.7122	0.7525	0.7811
	1.0	0.4666	0.7662	1.0420	1.2592	1.4205	1.5350	1.6102	1.6420	1.6695	1.6684	1.6557
		0.1225	0.1154	0.2404	0.3616	0.4937	0.6168	0.7200	0.7889	0.8587	0.8979	0.9249
	1.2	0.4498	0.6945	0.9201	1.0938	1.2143	1.2903	1.3317	1.3487	1.3500	1.3425	1.3308
		0.1512	0.1805	0.2631	0.3750	0.4880	0.5844	0.6578	0.7098	0.7457	0.7709	0.7897
	1.4	0.4353	0.6361	0.8234	0.9625	1.0488	1.0929	1.1089	1.1086	1.1001	1.0882	1.0753
		0.1718	0.1935	0.2663	0.3598	0.4462	0.5130	0.5596	0.5911	0.6131	0.6298	0.6432
	1.6	0.4209	0.5865	0.7448	0.8622	0.9330	0.9670	0.9770	0.9734	0.9633	0.9504	0.9368
		0.1857	0.1991	0.2619	0.3410	0.4105	0.4617	0.4966	0.5203	0.5372	0.5500	0.5602
	1.8	0.4054	0.5435	0.6770	0.7774	0.8367	0.8660	0.8753	0.8734	0.8658	0.8558	0.8448
		0.1944	0.2004	0.2551	0.3247	0.3830	0.4264	0.4564	0.4773	0.4925	0.5042	0.5134
	2.0	0.3919	0.5054	0.6179	0.7002	0.7478	0.7693	0.7754	0.7735	0.7678	0.7605	0.7524
		0.1992	0.1991	0.2465	0.3056	0.3551	0.3909	0.4158	0.4338	0.4475	0.4584	0.4673
1.0	0.2	0.6841	1.2590	1.5142	1.4099	1.1756	0.9514	0.7729	0.6382	0.5378	0.4629	0.4068
		0.0030	0.0044	0.0066	0.0084	0.0096	0.0102	0.0106	0.0108	0.0109	0.0110	0.0111
	0.4	0.6417	1.1990	1.5257	1.5283	1.3642	1.1733	1.0103	0.8851	0.7931	0.7274	0.6814
		0.0208	0.0315	0.0494	0.0670	0.0796	0.0876	0.0926	0.0957	0.0977	0.0991	0.1002
	0.6	0.5906	1.0889	1.4654	1.6170	1.6034	1.5195	1.4237	1.3391	1.2707	1.2165	1.1726
		0.0556	0.0843	0.1381	0.2012	0.2565	0.2984	0.3284	0.3495	0.3645	0.3753	0.3832
	0.8	0.5475	0.9650	1.3210	1.5547	1.6817	1.7391	1.7557	1.7493	1.7290	1.6998	1.6652
		0.0978	0.1431	0.2344	0.3527	0.4718	0.5758	0.6582	0.7207	0.7661	0.7975	0.8182
	1.0	0.5170	0.8548	1.1495	1.3645	1.5113	1.6056	1.6596	1.6833	1.6855	1.6738	1.6541
		0.1364	0.1879	0.2937	0.4305	0.5693	0.6909	0.7874	0.8586	0.9083	0.9418	0.9640
	1.2	0.4933	0.7671	1.0028	1.1656	1.2690	1.3264	1.3529	1.3594	1.3543	1.3431	1.3292
		0.1660	0.2132	0.3121	0.4319	0.5448	0.6356	0.7022	0.7486	0.7807	0.8036	0.8209
	1.4	0.4730	0.6969	0.8900	1.0180	1.0868	1.1151	1.1198	1.1126	1.1000	1.0856	1.0711
		0.1863	0.2243	0.3089	0.4055	0.4882	0.5490	0.5906	0.6188	0.6389	0.6541	0.6662
	1.6	0.4536	0.6381	0.7995	0.9076	0.9647	0.9862	0.9871	0.9775	0.9634	0.9479	0.9326
		0.1992	0.2274	0.2994	0.3796	0.4454	0.4921	0.5233	0.5444	0.5593	0.5705	0.5792
	1.8	0.4342	0.5869	0.7220	0.8129	0.8621	0.8822	0.8848	0.8785	0.8679	0.8556	0.8431
		0.2067	0.2262	0.2882	0.3572	0.4135	0.4535	0.4808	0.4997	0.5133	0.5235	0.5314
	2.0	0.4161	0.5421	0.6551	0.7290	0.7670	0.7813	0.7827	0.7778	0.7700	0.7611	0.7519
		0.2102	0.2224	0.2756	0.3341	0.3809	0.4140	0.4370	0.4537	0.4662	0.4760	0.4837

Abstract

Cited By

Tables (2)

Equations (8)

Journal of the Optical Society of America