Focusing of electromagnetic waves by paraboloid mirrors. I. theory

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

Volumn 17, Issue 11, 2000, Pages 2081-2089

  Varga, Peter ^a   Török, Peter ^b  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; ELECTRIC FIELDS; MAGNETIC FIELDS; MIRRORS;

PARABOLOID MIRRORS;

ELECTROMAGNETIC WAVES;

EID: 0038159653     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.17.002081     Document Type: Article

References (23)

1. 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).
2. 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).
3. A. Boivin and E. Wolf, “Electromagnetic field in the neighborhood of a focus of a coherent beam,” Phys. Rev. 138, B1561-B1565 (1965).
4. A. Boivin, J. Dow, and E. Wolf, “Energy flow in the neighborhood of the focus of a coherent beam,” J. Opt. Soc. Am. 57, 1171-1175 (1967).
5. C. J. R. Sheppard and T. Wilson, “The image of a single point in microscopes of large numerical aperture,” Proc. R. Soc. London, Ser. A 379, 145-158 (1982).
6. P. Török, P. Varga, Z. Laczik, and G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices-an integral representation,” J. Opt. Soc. Am. A 12, 325-332 (1995).
7. J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986), Sec. 16.1.
8. W. Wang, A. T. Friberg, and E. Wolf, “Structure of focused fields in systems with large Fresnel numbers,” J. Opt. Soc. Am. A 12, 1947-1953 (1995).
9. P. Török, “Focusing of electromagnetic waves through a dielectric interface by lenses of finite Fresnel number,” J. Opt. Soc. Am. A 15, 3009-3015 (1998).
10. V. S. Ignatowsky, “The relationship between geometrical and wave optics and diffraction of homocentrical beams,” Trans. Opt. Inst. 1(3), 1-30 (1920).
11. V. S. Ignatowsky, “Diffraction by a paraboloid mirror with arbitrary aperture,” Trans. Opt. Inst. 1(5), 1 -30 (1920).
12. V. Galindo-Israel and R. Mittra, “A new series representation for the radiation integral with application to reflector antennas,” IEEE Trans. Antennas Propag. AP-25, 631-641 (1985).
13. H. Ling, S.-W. Lee, P. T. C. Lam, and W. V. T. Rusch, “Focal shift in parabolic reflectors,” IEEE Trans. Antennas Propag. AP-33, 744-748 (1977).
14. J. Stratton and L. Chu, “Diffraction theory of electromagnetic waves,” Phys. Rev. 56, 99-107 (1939).
15. F. Kottler, “Diffraction at a black screen, Part I,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1965), Vol. IV, Chap. VII.
16. F. Kottler, “Diffraction at a black screen, Part II,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1967), Vol. VI, Chap. I.
17. P. Debye, “Das Verhalten von Lichtwellen in der Nahe eines Brennpunktes oder einer Brennlinie,” Ann. Phys. (Leipzig) 30, 755-776 (1909).
18. R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, Berkeley, Calif., 1964), Sec. 47.
19. D. J. Innes and A. L. Bloom, “Design of optical systems for use with laser beams,” Spectra-Phys. Laser Tech. Bull. 5, 1-10 (1966).
20. C. J. R. Sheppard, A. Choudhury, and J. Gannaway, “Electromagnetic field near the focus of wide-angular lens and mirror systems,” Microwave Opt. Acoust. 1, 129-132 (1977).
21. J. J. Stamnes, Waves in Focal Regions (Hilger, Bristol, UK, 1986), Sec. 16.1.2.
22. P. Varga and P. Török, “Focusing of electromagnetic waves by paraboloid mirrors. II. Numerical results,” J. Opt. Soc. Am. A 17, 2090-2095 (2000).
23. Y. Li and E. Wolf, “Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers,” J. Opt. Soc. Am. A 1, 801-808 (1984).