Optical aberration functions: derivatives with respect to surface parameters for symmetrical systems

Torben Brender Andersen

doi:10.1364/AO.24.001122

Applied Optics
Vol. 24,
Issue 8,
pp. 1122-1129
(1985)
•https://doi.org/10.1364/AO.24.001122

Optical aberration functions: derivatives with respect to surface parameters for symmetrical systems

Torben Brender Andersen

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Torben Brender Andersen, "Optical aberration functions: derivatives with respect to surface parameters for symmetrical systems," Appl. Opt. 24, 1122-1129 (1985)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

Formulas are presented for the computation of derivatives of the optical aberration functions S, T, V, W, and K with respect to the surface parameters for symmetrical optical systems. The important case of conic-section surfaces of revolution is considered separately. The formulas are suitable for use in computer programs for automatic computation of optical aberration coefficients.

Full Article | PDF Article

More Like This

Optical aberration functions: derivatives with respect to axial distances for symmetrical systems

T. Brender Andersen
Appl. Opt. 21(10) 1817-1823 (1982)

Optical aberration functions: chromatic aberrations and derivatives with respect to refractive indices for symmetrical systems

T. Brender Andersen
Appl. Opt. 21(22) 4040-4044 (1982)

Optical aberration functions: computation of caustic surfaces and illuminance in symmetrical systems

T. Brender Andersen
Appl. Opt. 20(21) 3723-3728 (1981)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (69)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

i	μ_i	d_i	c_i	b_i
1	−1	−3515.1	−9.388807, −05	−1.169349
2	−1	4464.912	−1.641993, −04	−7.959072

n	i	j	k	S₃	T₃	V₃	W₃
0	0	0	0	−1.513243,−10	1.313410,+ 04	−7.613768,−05	2.154354,+00
1	1	0	0	5.282706,−18	5.746862,−14	−2.206830,−13	−6.494277,−09
1	0	1	0	−2.197470,+00	1.153361,+04	−4.322036,−04	1.866505,+00
1	0	0	1	1.362244,−13	−2.547990,+00	−2.281887,−09	−5.614566,−04
2	2	0	0	4.134784,−18	1.707720,−13	7.087087,−22	8.000562,−17
2	1	1	0	2.131062,−08	3.092144,−04	5.750621,−12	6.560799,−08
2	1	0	1	6.830881,−13	2.317864,−08	1.527235,−16	7.841559,−12
2	0	2	0	−5.424809,−01	6.837963,+03	−2.344683,−05	1.109142,+00
2	0	1	1	1.780052,−03	−1.050408,+01	3.817624,−07	−1.876898,−03
2	0	0	2	2.317864,−08	6.290799,−04	5.149797,−12	1.696449,−07
3	3	0	0	−3.311978,−26	−1.497181,−21	−8.251414,−30	−3.661992,−25
3	2	1	0	−1.830615,−16	−4.530019,−12	−5.268835,−20	−1.209838,−15
3	2	0	1	−6.355972,−21	−2.840196,−16	−1.571410,−24	−7.943876,−20
3	1	2	0	−1.749553,−07	1.092793,−03	−3.906000,−11	1.988900,−07
3	1	1	1	−3.400861,−11	−1.628384,−07	−8.506568,−15	−4.139443,−11
3	1	0	2	−6.206312,−16	−1.468180,−11	−1.468124,−19	−4.171176,−15
3	0	3	0	−1.155875,+00	5.117303,+03	−2.487107,−04	8.344516,−01
3	0	2	1	4.648471,−04	−8.594393,+00	−2.871164,−08	−1.389624,−03
3	0	1	2	−1.149813,−06	7.420578,−03	−2.608396,−10	1.437873,−06
3	0	0	3	−1.730023,−11	−1.561620,−07	−3.888772,−15	−4.964509,−11
4	4	0	0	4.196528,−34	1.236856,−29	1.032524,−37	3.169103,−33
4	3	1	0	1.905514,−24	4.099069,−20	5.026285,−28	1.120884,−23
4	3	0	1	7.751443,−29	2.246739,−24	1.991235,−32	5.702696,−28
4	2	2	0	3.972238,−15	−2.188305,−12	9.704516,−19	−5.553447,−17
4	2	1	1	4.481354,−19	4.858537,−15	1.170384,−22	1.300889,−18
4	2	0	2	8.752889,−24	2.021629,−19	2.238967,−27	5.311477,−23
4	1	3	0	−1.655105,−08	6.263022,−04	9.206397,−12	8.966770,−08
4	1	2	1	2.837866,−10	−1.939007,−06	6.657185,−14	−3.814260,−10
4	1	1	2	3.394834,−14	5.835451,−13	8.356869,−18	6.182546,−15
4	1	0	3	5.252883,−19	5.932557,−15	1.277767,−22	1.∊6702,−18
4	0	4	0	−1.796083,−02	2.950172,+03	5.780708,−05	4.714614,−01
4	0	3	1	2.459079,−03	−1.129397,+01	5.628051,−07	−1.997095,−03
4	0	2	2	−1.779027,−07	6.317537,−03	8.245217,−11	9.503654,−07
4	0	1	3	6.836359,−10	−4.848278,−06	1.611139,−13	−9.999115,−10
4	0	0	4	1.062897,−14	2.272280,−11	2.465029,−18	1.103050,−14

n	i	j	k	$\frac{\partial S_{3}}{\partial c_{1}}$	$\frac{\partial S_{3}}{\partial c_{2}}$	$\frac{\partial S_{3}}{\partial b_{1}}$	$\frac{\partial S_{3}}{\partial b_{2}}$
0	0	0	0	2.626820,+04	−3.035676,+03	0.000000,+00	0.000000,+00
1	1	0	0	−5.219269,−04	1.000532,−04	−1.087005,−08	7.765412,−10
1	0	1	0	2.306723,+ 04	2.105910,+04	0.000000,+00	8.302612,−02
1	0	0	1	−1.388586,+01	2.839998,+00	0.000000,+00	1.605904.−05
2	2	0	0	9.755628,−12	−1.810493,−12	1.680691,−16	−1.380699,−17
2	1	1	0	3.604430,−03	−1.069720,−03	−9.545457,−09	−7.737339,−09
2	1	0	1	5.473764,−07	−1.107187,−07	6.766680,−12	−8.563856,−13
2	0	2	0	1.367593,+04	−1.156542,+04	0.000000,+00	−4.824907,−01
2	0	1	1	−3.413788,+01	−2.666282,+01	0.000000,+00	−1.977312,−04
2	0	0	2	8.378368,−03	−2.036080,−03	0.000000,+00	−1.425158,−08
3	3	0	0	−1.602180,−19	2.940610,−20	−3.013537,−24	2.228001,−25
3	2	1	0	−1.540643,−10	3.269785,−11	−1.624219,−15	2.502993,−16
3	2	0	1	−1.398456,−14	2.673071,−15	−2.132274,−19	2.026981,−20
3	1	2	0	4.521934,−03	3.719971,−03	−5.659239,−09	3.622862,−08
3	1	1	1	−5.347704,−06	1.841528,−06	1.502281,−11	1.450859,−11
3	1	0	2	−4.621239,−10	9.942568,−11	−4.102365,−15	7.625097,−16
3	0	3	0	1.023461,+04	2.935783,+04	0.000000,+00	1.157560,−01
3	0	2	1	−3.539914,+01	2.766866,+ 01	0.000000,+00	8.630283,−04
3	0	1	2	2.924024,−02	2.417882,−02	0.000000,+00	2.199857,−07
3	0	0	3	−4.818863,−06	1.345291,−06	0.000000,+00	1.030678,−11
4	4	0	0	2.421247,−27	−4.439463,−28	4.674181,−32	−3.373711,−33
4	3	1	0	3.719485,−18	−7.282669,−19	5.738748,−23	−5.601709,−24
4	3	0	1	2.818915,−22	−5.288484,−23	4.900186,−27	−4.033638,−28
4	2	2	0	4.363713,−10	−2.043220,−10	−1.686926,−15	−1.767286,−15
4	2	1	1	2.945116,−13	−6.773165,−14	2.522293,−18	−5.321394,−19
4	2	0	2	1.458152,−17	−2.909718,−18	1.935481,−22	−2.233673,−23
4	1	3	0	6.371980,−03	−4.179844,−03	−4.235186,−09	−1.022032,−07
4	1	2	1	−7.939960,−06	−8.177737,−06	1.517986,−11	−8.961878,−11
4	1	1	2	5.351818,−09	−2.069953,−09	−1.351038,−14	−1.740958,−14
4	1	0	3	3.423883,−13	−7.918645,−14	2.379258,−18	−6.205681,−19
4	0	4	0	5.900344,+03	−2.504638,+04	0.000000,+00	−6.717192,−01
4	0	3	1	−3.674581,+01	−8.047176,+01	0.000000,+00	−5.607883,−04
4	0	2	2	4.679249,−02	−3.854129,−02	0.000000,+00	−1.009596,−06
4	0	1	3	−2.031828,−05	−1.881206,−05	0.000000,+00	−1.900490,−10
4	0	0	4	2.676188,−09	−8.431702,−10	0.000000,+00	−6.855266,−15
n	i	j	k	$\frac{\partial T_{3}}{\partial c_{1}}$	$\frac{\partial T_{3}}{\partial c_{2}}$	$\frac{\partial T_{3}}{\partial b_{1}}$	$\frac{\partial T_{3}}{\partial b_{2}}$
0	0	0	0	0.000000,+00	−3.138923,+07	0.000000,+00	0.000000,+00
1	1	0	0	−5.095980,+00	1.206557,+00	0.000000,+00	8.029521,−06
1	0	1	0	0.000000,+00	−7.080996,+07	0.000000,+00	8.584991,+02
1	0	0	1	7.240266,+04	1.143598,+04	0.000000,+00	1.660522,−01
2	2	0	0	1.594005,−07	−3.274387,−08	2.363911,−12	−2.621204,−13
2	1	1	0	−2.575361,+01	−1.167051,−01	0.000000,+00	−2.700712,−05
2	1	0	1	2.314598,−03	−9.322662,−04	−2.996097,−08	−8.295238,−09
2	0	2	0	0.000000,+00	−2.856232,+07	0.000000,+00	2.041798,+03
2	0	1	1	1.239054.+05	1.094937,+05	0.000000,+00	−3.608881,−01
2	0	0	2	−5.220826,+01	−2.096086,+00	0.000000,+00	−8.473986,−05
3	3	0	0	−3.297443.−15	6.233773,−16	−5.704810,−20	4.862055,−21
3	2	1	0	2.332023,−07	6.222147,−08	1.060255,−11	9.959730,−13
3	2	0	1	−1.410939,−10	3.210396,−11	−1.385252,−15	2.759717,−16
3	1	2	0	−2.823534,+01	−1.579034,+01	0.000000,+00	7.776442,−07
3	1	1	1	4.115557,−02	−3.604127,−03	−5.127333,−08	2.325445,−08
3	1	0	2	−2.587494,−07	4.175043,−07	2,441729,−11	5.146554,−12
3	0	3	0	0.000000,+00	−6.422766,+07	0.000000,+00	1.457116,+03
3	0	2	1	1.297873,+05	3.126563,+03	0.000000,+00	−3.670749,+00
3	0	1	2	−1.527878,+02	−1.208142,+02	0.000000,+00	−1.997055,−04
3	0	0	3	3.345679,−02	−1.801621,−03	0.000000,+00	2.687639,−08
4	4	0	0	5.485515,−23	−1.014006,−23	1.050514,−27	−7.823694,−29
4	4	1	0	7.679093,−15	−2.577257,−15	−3.208168,−20	−2.674245,−20
4	4	0	1	3.785932,−18	−7.433983,−19	5.900657,−23	−5.988027,−24
4	2	2	0	−3.649584,−06	7.049808,−07	1.073481,−11	5.027155,−13
4	2	1	1	−1.003438,−09	4.283619,−11	−1.833354,−14	−8.734499,−16
4	2	0	2	7.014851,−14	−1.852550,−14	3.761551,−19	−1.792666,−19
4	1	3	0	−3.233820,+01	8.856833,+00	0.000000,+00	4.547775,−04
4	1	2	1	5.808042,−02	4.334425,−02	−5.370731,−08	1.864444,−07
4	1	1	2	−4.430016,−05	7.863660,−06	6.803910,−11	1.034646,−11
4	1	0	3	−7.208590,−10	−5.226137,−11	−1.613726,−14	−1.994403,−15
4	0	4	0	0.000000,+00	−3.419666,+06	0.000000,+00	2.092346,+03
4	0	3	1	1.188450,+05	2.308378,+05	0.000000,+00	−1.791903,+00
4	0	2	2	−2.386603,+02	7.350782,+01	0.000000,+00	4.633132,−03
4	0	1	3	1.247461,−01	1.132336,−01	0.000000,+00	5.245574,−07
4	0	0	4	−2.064241,−05	2.841497,−06	0.000000,+00	8.246811,−13
n	i	j	k	$\frac{\partial V_{3}}{\partial c_{1}}$	$\frac{\partial V_{3}}{\partial c_{2}}$	$\frac{\partial V_{3}}{\partial b_{1}}$	$\frac{\partial V_{3}}{\partial b_{2}}$
0	0	0	0	4. 308708,+00	−6.798961,−01	0.000000,+00	0.000000,+00
1	1	0	0	−1.031627,−07	2.043811,−08	−1.782988,−12	1.739208,−13
1	0	1	0	3.733011,+00	4.505879,+00	0.000000,+00	1.859524,−05
1	0	0	1	−2.851727,−03	5.953167,−04	0.000000,+00	3.596721,−09
2	2	0	0	2.202635,−15	−4.076767,−16	3.631034,−20	−3.025067,−21
2	1	1	0	7.992965,−07	−2.485559,−07	−1.544758,−12	−1.718537,−12
2	1	0	1	1.232407,−10	−2.492868,−11	1.347475,−15	−1.890214,−16
2	0	2	0	2.218283,+00	−3.999018,+00	0.000000,+00	−1.072938,−04
2	0	1	1	−5.670186,−03	−6.143241,−03	0.000000,+00	−4.398812,−08
2	0	0	2	1.861776,−06	−4.515890,−07	0.000000,+00	−3.163139,−12
3	3	0	0	−3.750111,−23	6.891605,−24	−7.009343,−28	5.221882,−29
3	2	1	0	−3.613811,−14	7.803710,−15	−3.542922,−19	5.884448,−20
3	2	0	1	−3.292243,−18	6.311507,−19	−4.877920,−23	4.749137,−24
3	1	2	0	6.615906,−07	9.093570,−07	−9.179484,−13	8.662542,−12
3	1	1	1	−1.258325,−09	4.386917,−10	2.491416,−15	3.377424,−15
3	1	0	2	−1.079002,−13	2.326440,−14	−8.969338,−19	1.760379,−19
3	0	3	0	1.668903,+00	7.599408,+00	0.000000,+00	5.556065,−05
3	0	2	1	−5.951350,−03	8.959667,−03	0.000000,+00	2.052487,−07
3	0	1	2	4.936626,−06	5.818122,−06	0.000000,+00	5.067953,−11
3	0	0	3	−1.122049,−09	3.099940,−10	0.000000,+00	2.348145,−15
4	4	0	0	5.803297,−31	−1.064437,−31	1.113979,−35	−8.080413,−37
4	4	1	0	9.029616,−22	−1.774843,−22	1.353844,−26	−1.358545,−27
4	4	0	1	6.803419,−26	−1.278466,−26	1.167497,−30	−9.736603,−32
4	2	2	0	1.112778,−13	−5.024975,−14	−2.237971,−19	−4.269757,−19
4	2	1	1	7.082327,−17	−1.643235,−17	5.842362,−22	−1.279019,−22
4	2	0	2	3.504307,−21	−7.017072,−22	4.536355,−26	−5.363385,−27
4	1	3	0	1.233297,−06	−1.298770,−06	−6.906093,−13	−2.526507,−11
4	1	2	1	−1.084534,−09	−2.066434,−09	2.548915,−15	−2.180070,−14
4	1	1	2	1.311965,−12	−5.029490,−13	−2.276741,−18	−4.155540,−18
4	1	0	3	8.180185,−17	−1.894125,−17	5.485270,−22	−1.471006,−22
4	0	4	0	9.429228,−01	−7.896651,+00	0.000000,+00	−1.644417,−04
4	0	3	1	−6.053804,−03	−2.149493,−02	0.000000,+00	−1.993952,−07
4	0	2	2	8.367275,−06	−1.211075,−05	0.000000,+00	−2.510706,−10
4	0	1	3	−3.426922,−09	−4.661978,−09	0.000000,+00	−4.509035,−14
4	0	0	4	6.431840,−13	−1.996232,−13	0.000000,+00	−1.600770,−18
n	i	j	k	$\frac{\partial W_{3}}{\partial c_{1}}$	$\frac{\partial W_{3}}{\partial c_{2}}$	$\frac{\partial W_{3}}{\partial b_{1}}$	$\frac{\partial W_{3}}{\partial b_{2}}$
0	0	0	0	0.000000,+00	−7.030200,+03	0.000000,+00	0.000000,+00
1	1	0	0	−1.199051,−03	3.259917,−04	0.000000,+00	1.798360,−09
1	0	1	0	0.000000,+00	−9.897377,+03	0.000000,+00	1.922768,−01
1	0	0	1	1.177473,+01	3.714446,+00	0.000000,+00	3.719048,−05
2	2	0	0	4.012855,−11	−8.380618,−12	5.222766,−16	−6.774941,−17
2	1	1	0	−4.747457,−03	−2.423343,−04	0.000000,+00	−7.982395,−09
2	1	0	1	6.787988,−07	−2.603318,−07	−4.872504,−12	−2.231882,−12
2	0	2	0	0.000000,+00	−4.120135,+03	0.000000,+00	3.539278,−01
2	0	1	1	2.007217,+ 01	1.865431,+01	0.000000,+00	−1.208159,−04
2	0	0	2	−9.753420,−03	−1.263054,−03	0.000000,+00	−2.284636,−08
3	3	0	0	−8.552365,−19	1.610904,−19	−1.452779,−23	1.245235,−24
3	2	1	0	2.351369,−11	2.203203,−11	1.909579,−15	2.901552,−16
3	2	0	1	−3.844451,−14	8.615590,−15	−3.679215,−19	7.297795,−20
3	1	2	0	−4.679593,−03	−2.887878,−03	0.000000,+00	4.806668,−09
3	1	1	1	8.137813,−06	−4.489600,−07	−8.306069,−12	8.466048,−12
3	1	0	2	−1.963166,−10	1.318555,−10	4.493536,−15	1.471071,−15
3	0	3	0	0.000000,+00	−1.070051,+04	0.000000,+00	2.457456,−01
3	0	2	1	2.110484,+01	−3.205605,+00	0.000000,+00	−6.915291,−04
3	0	1	2	−2.613218,−02	−2.326434,−02	0.000000,+00	4.322130,−11
3	0	0	3	6.769360,−06	2.003223,−08	0.000000,+00	9.209758,−12
4	4	0	0	1.421321,−26	−2.623763,−27	2.726292,−31	−2.022187,−32
4	3	1	0	2.615869,−18	−7.770143,−19	3.352949,−24	−7.651485,−24
4	3	0	1	1.014747,−21	−1.979987,−22	1.586416,−26	−1.583984,−27
4	2	2	0	−7.500129,−10	1.295457,−10	1.759779,−15	−1.932093,−16
4	2	1	1	−1.755286,−13	−4.248657,−15	−3.554578,−18	−3.237347,−19
4	2	0	2	2.148371,−17	−5.362142,−18	1.444017,−22	−5.002265,−23
4	1	3	0	−5.632524,−03	2.460390,−03	0.000000,+00	8.882434,−08
4	1	2	1	9.603385,−06	8.803631,−06	−8.733398,−12	3.024716,−11
4	1	1	2	−9.266601,−09	1.443049,−09	1.159360,−14	−1.046487,−15
4	1	0	3	−7.820407,−14	−3.529164,−14	−3.223120,−18	−6.560610,−19
4	0	4	0	0.000000,+00	9.781940,+02	0.000000,+00	3.684189,−01
4	0	3	1	1.922570,+01	4.554282,+01	0.000000,+00	−2.469170,−04
4	0	2	2	−4.064062,−02	2.188145,−02	0.000000,+00	9.420360,−07
4	0	1	3	2.198165,−05	2.358018,−05	0.000000,+00	8.564862,−11
4	0	0	4	−4.396807,−09	4.399843,−10	0.000000,+00	−1.666968,−15

i	μ_i	d_i	c_i	b_i
1	−1	−3515.1	−9.388807, −05	−1.169349
2	−1	4464.912	−1.641993, −04	−7.959072

n	i	j	k	S₃	T₃	V₃	W₃
0	0	0	0	−1.513243,−10	1.313410,+ 04	−7.613768,−05	2.154354,+00
1	1	0	0	5.282706,−18	5.746862,−14	−2.206830,−13	−6.494277,−09
1	0	1	0	−2.197470,+00	1.153361,+04	−4.322036,−04	1.866505,+00
1	0	0	1	1.362244,−13	−2.547990,+00	−2.281887,−09	−5.614566,−04
2	2	0	0	4.134784,−18	1.707720,−13	7.087087,−22	8.000562,−17
2	1	1	0	2.131062,−08	3.092144,−04	5.750621,−12	6.560799,−08
2	1	0	1	6.830881,−13	2.317864,−08	1.527235,−16	7.841559,−12
2	0	2	0	−5.424809,−01	6.837963,+03	−2.344683,−05	1.109142,+00
2	0	1	1	1.780052,−03	−1.050408,+01	3.817624,−07	−1.876898,−03
2	0	0	2	2.317864,−08	6.290799,−04	5.149797,−12	1.696449,−07
3	3	0	0	−3.311978,−26	−1.497181,−21	−8.251414,−30	−3.661992,−25
3	2	1	0	−1.830615,−16	−4.530019,−12	−5.268835,−20	−1.209838,−15
3	2	0	1	−6.355972,−21	−2.840196,−16	−1.571410,−24	−7.943876,−20
3	1	2	0	−1.749553,−07	1.092793,−03	−3.906000,−11	1.988900,−07
3	1	1	1	−3.400861,−11	−1.628384,−07	−8.506568,−15	−4.139443,−11
3	1	0	2	−6.206312,−16	−1.468180,−11	−1.468124,−19	−4.171176,−15
3	0	3	0	−1.155875,+00	5.117303,+03	−2.487107,−04	8.344516,−01
3	0	2	1	4.648471,−04	−8.594393,+00	−2.871164,−08	−1.389624,−03
3	0	1	2	−1.149813,−06	7.420578,−03	−2.608396,−10	1.437873,−06
3	0	0	3	−1.730023,−11	−1.561620,−07	−3.888772,−15	−4.964509,−11
4	4	0	0	4.196528,−34	1.236856,−29	1.032524,−37	3.169103,−33
4	3	1	0	1.905514,−24	4.099069,−20	5.026285,−28	1.120884,−23
4	3	0	1	7.751443,−29	2.246739,−24	1.991235,−32	5.702696,−28
4	2	2	0	3.972238,−15	−2.188305,−12	9.704516,−19	−5.553447,−17
4	2	1	1	4.481354,−19	4.858537,−15	1.170384,−22	1.300889,−18
4	2	0	2	8.752889,−24	2.021629,−19	2.238967,−27	5.311477,−23
4	1	3	0	−1.655105,−08	6.263022,−04	9.206397,−12	8.966770,−08
4	1	2	1	2.837866,−10	−1.939007,−06	6.657185,−14	−3.814260,−10
4	1	1	2	3.394834,−14	5.835451,−13	8.356869,−18	6.182546,−15
4	1	0	3	5.252883,−19	5.932557,−15	1.277767,−22	1.∊6702,−18
4	0	4	0	−1.796083,−02	2.950172,+03	5.780708,−05	4.714614,−01
4	0	3	1	2.459079,−03	−1.129397,+01	5.628051,−07	−1.997095,−03
4	0	2	2	−1.779027,−07	6.317537,−03	8.245217,−11	9.503654,−07
4	0	1	3	6.836359,−10	−4.848278,−06	1.611139,−13	−9.999115,−10
4	0	0	4	1.062897,−14	2.272280,−11	2.465029,−18	1.103050,−14

Abstract

Cited By

Tables (3)

Equations (69)

Applied Optics