-
1
-
-
84959640582
-
On the Circle Polynomials of Zernike and Related Orthogonal Sets
-
Bhatia A. B. and E. Wolf, "On the Circle Polynomials of Zernike and Related Orthogonal Sets," Proc. Cambridge Philos. Soc. 50, 40-48 (1954).
-
(1954)
Proc. Cambridge Philos. Soc.
, vol.50
, pp. 40-48
-
-
Bhatia, A.B.1
Wolf, E.2
-
2
-
-
0003972070
-
Principles of Optics, 7th ed.
-
Oxford, New York
-
Born M. and E. Wolf, Principles of Optics, 7th ed., Oxford, New York, 1999.
-
(1999)
-
-
Born, M.1
Wolf, E.2
-
3
-
-
84960870731
-
Polynomial Expansion of Severely Aberrated Wave Fronts
-
Braat, J. "Polynomial Expansion of Severely Aberrated Wave Fronts," J. Opt. Soc. Am. A4, 643-650 (1987).
-
(1987)
J. Opt. Soc. Am.
, vol.A4
, pp. 643-650
-
-
Braat, J.1
-
4
-
-
0031700995
-
Phasing the Mirror Segments of the Keck Telescopes: the Broadband Phasing Algorithm
-
Chanan, G. M. Troy, F. Dekenes, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, "Phasing the Mirror Segments of the Keck Telescopes: the Broadband Phasing Algorithm," Appl. Opt. 37, 140-155 (1998).
-
(1998)
Appl. Opt.
, vol.37
, pp. 140-155
-
-
Chanan, G.1
Troy, M.2
Dekenes, F.3
Michaels, S.4
Nelson, J.5
Mast, T.6
Kirkman, D.7
-
5
-
-
0001213594
-
Phasing the Mirror Segments of the Keck Telescopes II: the Narrow-band Phasing Algorithm
-
Chanan, G. C. Ohara, M. Troy, F. Dekenes, S. Michaels, J. Nelson, T. Mast, and D. Kirkman, "Phasing the Mirror Segments of the Keck Telescopes II: the Narrow-band Phasing Algorithm," Appl. Opt., 39, 4706-4714 (1998).
-
(1998)
Appl. Opt.
, vol.39
, pp. 4706-4714
-
-
Chanan, G.1
Ohara, C.2
Troy, M.3
Dekenes, F.4
Michaels, S.5
Nelson, J.6
Mast, T.7
Kirkman, D.8
-
6
-
-
84975595222
-
Zernike Aberration Coefficients From Seidel and Higher-order Power-series Coefficients
-
Conforti, G. "Zernike Aberration Coefficients From Seidel and Higher-order Power-series Coefficients," Opt. Lett., 8, 407-408 (1983).
-
(1983)
Opt. Lett.
, vol.8
, pp. 407-408
-
-
Conforti, G.1
-
7
-
-
33846953939
-
Nonrecursive Determination of Orthonormal Polynomials with Matrix Formulation
-
Dai G. -m. and V. N. Mahajan, "Nonrecursive Determination of Orthonormal Polynomials with Matrix Formulation," Opt. Lett. 32, 74-76 (2007).
-
(2007)
Opt. Lett.
, vol.32
, pp. 74-76
-
-
Dai, G.-m.1
Mahajan, V.N.2
-
8
-
-
2342572336
-
An Automated Subaperture Stitching Interferometer Workstation for Spherical and Aspherical Surfaces
-
Fleig, J. P. Dumas, P. Murphy, and G. W. Forbes, "An Automated Subaperture Stitching Interferometer Workstation for Spherical and Aspherical Surfaces," SPIE Proc., 5188, 296-307 (2003).
-
(2003)
SPIE Proc.
, vol.5188
, pp. 296-307
-
-
Fleig, J.1
Dumas, P.2
Murphy, P.3
Forbes, G.W.4
-
9
-
-
0021389877
-
Subaperture Testing Approaches: a Comparison
-
Jenson, S. C. W. W. Chow, and G. N. Lawrence, "Subaperture Testing Approaches: a Comparison," Appl. Opt., 23, 740-745 (1984).
-
(1984)
Appl. Opt.
, pp. 740-745
-
-
Jenson, S.C.1
Chow, W.W.2
Lawrence, G.N.3
-
10
-
-
0003644199
-
Mathematical Handbook for Scientists and Engineers
-
McGraw-Hill, New York
-
Korn G. A. and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York, 1968.
-
(1968)
-
-
Korn, G.A.1
Korn, T.M.2
-
11
-
-
0020179118
-
Strehl Ratio for Primary Aberrations: Some Analytical Results for Circular and Annular Pupils
-
Errata, 10, 2092 (1993); "Strehl Ratio for Primary Aberrations in Terms of Their Aberration Variance," J. Opt. Soc. Am. 73, 860-861 (1983).
-
Mahajan, V. N. "Strehl Ratio for Primary Aberrations: Some Analytical Results for Circular and Annular Pupils," J. Opt. Soc. Am. 72, 1258-1266 (1982), Errata, 10, 2092 (1993); "Strehl Ratio for Primary Aberrations in Terms of Their Aberration Variance," J. Opt. Soc. Am. 73, 860-861 (1983).
-
(1983)
J. Opt. Soc. Am.
, vol.72
, pp. 860-861
-
-
Mahajan, V.N.1
-
12
-
-
0019397912
-
Zernike Annular Polynomials for Imaging Systems with Annular Pupils
-
71, 1408 (1981b); 1, 685 (1984); "Zernike Annular Polynomials and Optical Aberrations of Systems With Annular Pupils," Appl. Opt. 33, 8125-8127 (1994)
-
Mahajan, V. N. "Zernike Annular Polynomials for Imaging Systems with Annular Pupils," J. Opt. Soc. Am. 71, 75-85 (1981a); 71, 1408 (1981b); 1, 685 (1984); "Zernike Annular Polynomials and Optical Aberrations of Systems With Annular Pupils," Appl. Opt. 33, 8125-8127 (1994).
-
(1981)
J. Opt. Soc. Am.
, vol.71
, pp. 75-85
-
-
Mahajan, V.N.1
-
13
-
-
0003778378
-
Optical Imaging and Aberrations, Part I: Ray Geometrical Optics
-
SPIE Press, Bellingham, Washington, second printing
-
Mahajan, V. N. Optical Imaging and Aberrations, Part I: Ray Geometrical Optics, SPIE Press, Bellingham, Washington, second printing 2001.
-
(2001)
-
-
Mahajan, V.N.1
-
14
-
-
2342641589
-
Zernike Polynomials and Aberration Balancing
-
Mahajan, V. N. "Zernike Polynomials and Aberration Balancing," SPIE Proc. 5173, 1-17 (2003).
-
(2003)
SPIE Proc.
, vol.5173
, pp. 1-17
-
-
Mahajan, V.N.1
-
15
-
-
0003778378
-
Optical Imaging and Aberrations, Part II:Wave Diffraction Optics
-
SPIE Press, Bellingham, Washington, Second Printing
-
Mahajan, V. N. Optical Imaging and Aberrations, Part II:Wave Diffraction Optics, SPIE Press, Bellingham, Washington, Second Printing 2004.
-
(2004)
-
-
Mahajan, V.N.1
-
16
-
-
33749502766
-
Orthonormal Polynomials for Hexagonal Pupils
-
Mahajan V. N. and Dai, G.-m. "Orthonormal Polynomials for Hexagonal Pupils," Opt. Lett. 31, 2462-2464 (2006).
-
(2006)
Opt. Lett.
, vol.31
, pp. 2462-2464
-
-
Mahajan, V.N.1
Dai, G.-m.2
-
17
-
-
84955164237
-
Seidel Coefficients in Optical Testing
-
Mahajan V. N. and Swantner W. H., "Seidel Coefficients in Optical Testing," Asian J. Phys. 15, 203-209 (2006).
-
(2006)
Asian J. Phys.
, vol.15
, pp. 203-209
-
-
Mahajan, V.N.1
Swantner, W.H.2
-
18
-
-
0001755126
-
Wavefront FittingWith Discrete Orthogonal Polynomials in a Unit Radius Circle
-
Malacara, D. J. M. Carpio-Valdéz, and J. Javier Sánchez-Mondragón, "Wavefront FittingWith Discrete Orthogonal Polynomials in a Unit Radius Circle," Opt. Eng., 29, 672-675 (1990).
-
(1990)
Opt. Eng.
, vol.29
, pp. 672-675
-
-
Malacara, D.1
Carpio-Valdéz, J.M.2
Javier Sánchez-Mondragón, J.3
-
19
-
-
0003913315
-
Handbook of Lens Design
-
Dekkar, New York
-
Malacara D. and Z. Malacara, Handbook of Lens Design, Dekkar, New York, 1994.
-
(1994)
-
-
Malacara, D.1
Malacara, Z.2
-
20
-
-
0033121549
-
Wavefront Fitting Using Gaussian Functions
-
Montoya-Hernández, M. M. Servín, D. Malacara-Hernández, and G. Paez, "Wavefront Fitting Using Gaussian Functions," Opt. Comm. 163, 259-269 (1999).
-
(1999)
Opt. Comm.
, vol.163
, pp. 259-269
-
-
Montoya-Hernández, M.1
Servín, M.2
Malacara-Hernández, D.3
Paez, G.4
-
21
-
-
0003475355
-
Geometrical Optics and Optical Design
-
Oxford, New York
-
Mouroulis P. and J. Macdonald, Geometrical Optics and Optical Design, Oxford, New York, 1997.
-
(1997)
-
-
Mouroulis, P.1
Macdonald, J.2
-
22
-
-
2342546859
-
The Diffraction Theory of Optical Aberrations. Part I: General Discussion of the Geometrical Aberrations
-
"The Diffraction Theory of Optical Aberrations. Part II: Diffraction Pattern in the Presence of Small Aberrations," Physica, 13, 605-620 (1947); and Nienhuis K. and B. R. A. Nijboer, "The Diffraction Theory of Optical Aberrations. Part III: General Formulae for Small Aberrations: Experimental Verification of the Theoretical Results," Physica, 14, 590-608 (1949)
-
Nijboer, B.R.A. "The Diffraction Theory of Optical Aberrations. Part I: General Discussion of the Geometrical Aberrations," Physica, 10, 679-692 (1943); "The Diffraction Theory of Optical Aberrations. Part II: Diffraction Pattern in the Presence of Small Aberrations," Physica, 13, 605-620 (1947); and Nienhuis K. and B. R. A. Nijboer, "The Diffraction Theory of Optical Aberrations. Part III: General Formulae for Small Aberrations: Experimental Verification of the Theoretical Results," Physica, 14, 590-608 (1949).
-
(1943)
Physica
, vol.10
, pp. 679-692
-
-
Nijboer, B.R.A.1
-
23
-
-
0016932959
-
Zernike Polynomials and Atmospheric Turbulence
-
Noll, R. J. "Zernike Polynomials and Atmospheric Turbulence," J. Opt. Soc. Am. 66, 207-211 (1976).
-
(1976)
J. Opt. Soc. Am.
, vol.66
, pp. 207-211
-
-
Noll, R.J.1
-
24
-
-
84975534731
-
Algorithm for Computation of Zernike Polynomials Expansion Coefficients
-
Prata A. and W. V. T. Rusch, "Algorithm for Computation of Zernike Polynomials Expansion Coefficients," Appl. Opt. 28, 749-753 (1989).
-
(1989)
Appl. Opt.
, vol.28
, pp. 749-753
-
-
Prata, A.1
Rusch, W.V.T.2
-
25
-
-
0028421882
-
Gram-Schmidt orthonormalization of Zernike polynomials for general aperture shape
-
Swantner W. and W. W. Chow, "Gram-Schmidt orthonormalization of Zernike polynomials for general aperture shape," Appl. Opt. 33, 1832-1837 (1994).
-
(1994)
Appl. Opt.
, vol.33
, pp. 1832-1837
-
-
Swantner, W.1
Chow, W.W.2
-
26
-
-
0038305551
-
Conversion of Zernike aberration coefficients to Seidel and Higher-order Powerseries Aberration Coefficients
-
Tyson, R. K. "Conversion of Zernike aberration coefficients to Seidel and Higher-order Powerseries Aberration Coefficients," Opt. Lett., 7, 262-264 (1982).
-
(1982)
Opt. Lett.
, vol.7
, pp. 262-264
-
-
Tyson, R.K.1
-
27
-
-
0020939561
-
Full Aperture Testing With Subaperture Test Optics
-
Thunen J. and Kwon O., "Full Aperture Testing With Subaperture Test Optics," Proc. SPIE, 351, 19-27 (1982).
-
(1982)
Proc. SPIE
, vol.351
, pp. 19-27
-
-
Thunen, J.1
Kwon, O.2
-
28
-
-
10944233978
-
Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape
-
As pointed out by Mahajan and Dai (2006), the matrix for obtaining the orthonormal hexagonal polynomials from the Zernike circle polynomials has numerical errors
-
Upton R. and B. Ellerbroek "Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape," Opt. Lett. 29, 2840-2842 (2004). As pointed out by Mahajan and Dai (2006), the matrix for obtaining the orthonormal hexagonal polynomials from the Zernike circle polynomials has numerical errors.
-
(2004)
Opt. Lett.
, vol.29
, pp. 2840-2842
-
-
Upton, R.1
Ellerbroek, B.2
-
29
-
-
0019011060
-
Wave-front Interpretation With Zernike Polynomials
-
Wang J.Y. and D. E. Silva, "Wave-front Interpretation With Zernike Polynomials," Appl. Opt., 19, 1510-1518 (1980).
-
(1980)
Appl. Opt.
, vol.19
, pp. 1510-1518
-
-
Wang, J.Y.1
Silva, D.E.2
-
30
-
-
0004055484
-
Aberrations of the Symmetrical Optical System
-
Academic Press, New York
-
Welford, W. T. Aberrations of the Symmetrical Optical System, Academic Press, New York, 1974.
-
(1974)
-
-
Welford, W.T.1
-
31
-
-
0011060250
-
BasicWavefront Aberration Theory for Optical Metrology
-
Wyant J. C. and K. Creath, "BasicWavefront Aberration Theory for Optical Metrology," Appl. Opt. Optical Eng. XI, 1-53 (1992).
-
(1992)
Appl. Opt. Optical Eng.
, vol.11
, pp. 1-53
-
-
Wyant, J.C.1
Creath, K.2
-
32
-
-
0009598475
-
Diffraction Theory of Knife-edge Test and its Improved Form, the Phase Contrast Method
-
"Beugungstheorie Des Schneidenverfahrens und Seiner Verbesserten Form, der Phasenkontrastmethode," Physica 1, 689-794 (1934b)
-
Zernike, F. "Diffraction Theory of Knife-edge Test and its Improved Form, the Phase Contrast Method," Mon. Not. R. Astron. Soc. 94, 377-384 (1934a); "Beugungstheorie Des Schneidenverfahrens und Seiner Verbesserten Form, der Phasenkontrastmethode," Physica 1, 689-794 (1934b).
-
(1934)
Mon. Not. R. Astron. Soc.
, vol.94
, pp. 377-384
-
-
Zernike, F.1
|