Zernike coefficients for concentric, circular scaled pupils: An equivalent expression

Journal of Modern Optics

Volumn 56, Issue 1, 2009, Pages 131-137

  Díaz, Jose A ^a   Fernández Dorado, José ^b   Pizarro, Carles ^b   Arasa, Josep ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Mathematical physics; Optical aberrations

Indexed keywords

MOLECULAR PHYSICS; OPTICS;

EQUIVALENT EXPRESSION; GAUSS HYPERGEOMETRIC FUNCTION; GENERAL EXPRESSION; INDEX SELECTION; MATHEMATICAL PHYSICS; WAVEFRONT ERRORS; ZERNIKE COEFFICIENT; ZERNIKE POLYNOMIALS;

ABERRATIONS;

EID: 57849141318     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500340802531224     Document Type: Article

References (22)

1. Shannon, R.R. The Art and Science of Optical Design; Cambridge Press: New York, 1997.
2. Mahajan, V. Optical Imaging and Aberrations: Ray Geometrical Optics; SPIE Press: Bellingham, WA, 1998.
3. Malacara, D. Ed. Optical Shop Testing, 3rd ed.; John Wiley & Sons: New York, 2007.
4. Mahajan, V. Optical Imaging and Aberrations: Wave Diffraction Optics; SPIE Press: Bellingham, WA, 2001.
5. Mahajan, V.; Dai, G. J. Opt. Soc. Am. A 2007, 24, 2994-3016.
6. Goldberg, K.A.; Geary, K. J. Opt. Soc. Am. A 2001, 18, 2146-2152.
7. Dai, G. Wavefront Optics for Vision Correction; SPIE: Bellingham, WA, 2007.
8. Sehwiegerling, J. J. Opt. Soc. Am. A 2002, 19, 1937-1945.
9. Dai, G. J. Opt. Soc. Am. A 2006, 23, 539-543.
10. Campbell, C.E, J. Opt. Soc. Am. A 2003, 20, 209-217.
11. Bará, S.; Arines, J.; Ares, J.; Prado, P. J. Opt. Soc. Am. A 2006, 23, 2061-2066.
12. Limdström, L.; Umbo, P. J. Opt. Soc. Am. A 2007, 24, 569-577.
13. Comastri, S.A.; Perez, L.I.; Pérez, G.D.; Martin, G.; Bastida, K. J. Optic. Pure Appl. Optic. 2007, 9, 209-221.
14. Shu, H.; Luo, L.; Han, G.; Coatrieux, J.L. J. Opt. Soc. Am. A 2006, 23, 1960-1966.
15. Janssen, A.J.E.M.; Dirksen, P. J. Microlith. Microfab. Microsyst. 2007, 5, 030501-1-3.
16. Born, M.; Wolf, E. Principles of Optics, 8th ed.; Cambridge Press: New York, 2002.
17. Thibos, L.N.; Applegate, R.A.; Sehwiegerling, J.T.; Webb, R.; Members, V.S.T. OSA Trends in Optics and Photonic News, Vision Science and its Applications. 2000, 35, 232-244.
18. Nijboer, B.R.A. Physica. 1947, 13, 605-620.
19. Gradshteyn, I.; Ryzhik, I. Table of Integrals, Series, and Products, 7th ed.; Academic Press: New York, 2007.
20. Abramowitz, M.; Stegun, I.A. Handbook of Mathematical Functions; Dover Inc: New York, 1965.
21. Erdelyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F. Higher Trascendental Functions; McGraw-Hill: New York, 1955; Vol. 1.
22. Wolfram, S. The Mathematical Book, 5th ed.; Wolfram Media Inc: Champaign, IL, 2003.