High-aperture diffraction of a scalar, off-axis Gaussian beam

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 17, Issue 9, 2000, Pages 1556-1564

  Cronin, Paul John ^a   Torok, Peter ^b   Varga, Peter ^b   Cogswell, Carol ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; DISTORTION (WAVES); DOPPLER EFFECT; FOCUSING; LENSES; MICROSCOPES;

GAUSSIAN BEAMS;

LIGHT;

EID: 0038441939     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.001556     Document Type: Article

References (17)

1. V. S. Ignatovski, “Diffraction by a lens of arbitrary aperture,” Trans. Opt. Inst. (Petrograd) 1, 1—36 (1919) (in Russian).
2. E. Wolf, “Electromagnetic diffraction in optical systems. I. An integral representation of the image field,” Proc. R. Soc. London, Ser. A 253, 349—357 (1959).
3. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London, Ser. A 253, 358— 379 (1959).
4. A. Yoshida and T. Asakura, “Electromagnetic field near the focus of Gaussian beams,” Optik (Stuttgart) 41, 281—292 (1974).
5. P. Varga and P. Torok, “The Gaussian wave solution of Maxwell’s equations and the validity of scalar wave approximation,” Opt. Commun. 152, 108—118 (1998).
6. H. H. Hopkins, “The Airy disc formula for systems of high relative aperture,” Proc. Phys. Soc. London 55, 116—128 (1943).
7. A. Yoshida and T. Asakura, “Effect of aberrations on off-axis Gaussian beams,” Opt. Commun. 14, 211—214 (1975).
8. A. Yoshida and T. Asakura, “Diffraction patterns of off-axis Gaussian beams in the presence of third-order spherical aberration in the optical system,” Opt. Commun. 19, 387—392 (1976).
9. A. Yoshida and T. Asakura, “Diffraction patterns of off-axis Gaussian beams in the optical system with astigmatism and coma,” Opt. Commun. 25, 133—136 (1978).
10. A. Yoshida, “Spherical aberration in beam optical systems,” Appl. Opt. 21, 1812 — 1816 (1982).
11. C. J. R. Sheppard and P. Torok, “Approximate forms for diffraction integrals in high numerical aperture focusing,” Optik (Stuttgart) 105, 77—82 (1997).
12. Y. Li and F. T. S. Yu, “Intensity distribution near the focus of an apertured focused Gaussian beam,” Opt. Commun. 70, 1—7 (1989).
13. B. Lu, W. Huang, B. Zhang, and B. Cai, “Focal shift in ap-ertured Gaussian beams and relation with the lens focus,” Optik (Stuttgart) 99, 8—12 (1995).
14. Y. Yeh and H. Z. Cummins, “Localised fluid flow measurement with a He—Ne laser spectrometer,” Appl. Phys. Lett. 4, 176—178 (1964).
15. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic, London, UK, 1994).
16. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, UK 1999).
17. P. Torok, Z. Laczik, and C. J. R. Sheppard, “Effect of half-stop lateral misalignment on imaging of dark-field and stereoscopic confocal microscopes,” Appl. Opt. 35, 6732—6739 (1996).