Focusing of beams into subwavelength area in an inhomogeneous medium

Optics Express

Volumn 9, Issue 12, 2001, Pages 658-673

  Petrov, N I ^a  

^a Samsung Advanced Institute of Technology (SAIT)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC FIELDS; OPTICAL MICROSCOPY; POLARIZATION; QUANTUM THEORY; WAVE PROPAGATION;

GAUSSIAN BEAMS; OPTICAL BEAMS; WAVE BEAMS;

OPTICAL SYSTEMS;

EID: 0242505071     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.9.000658     Document Type: Article

References (46)

1. H. Kogelnik, "On the propagation of Gaussian beams of light through lenslike media including those with a loss and gain variation," Appl. Opt. 4, 1562 (1965).
2. L. W. Casperson, "Gaussian light beams in inhomogeneous media," Appl. Opt. 12, 2434 (1973).
3. D. D. Lowental, "Far-field diffraction patterns for Gaussian beams in the presence of small spherical aberrations," J. Opt. Soc. Am. 65, 853 (1975).
4. L. W. Casperson, "Synthesis of Gaussian beam optical systems," Appl. Opt. 20, 2243 (1981).
5. S. A. Self, "Focusing of spherical Gaussian beams," Appl. Opt, 22, 658(1983).
6. R. M. Herman, J. Fardo and T.A. Wiggins, "Diffraction and focusing of Gaussian beams," Appl. Opt. 24, 1346 (1985).
7. A. Kujawski, "Focusing of Gaussian beams described in terms of complex rays," Appl. Opt. 28, 2458 (1989).
8. A. R. At-Rashed and B. E. A. Saleh, "Decentered Gaussian beams," Appl. Opt. 34, 6819 (1995).
9. M. Lax, W. H. Luisell, and W. B. McKnight, "From Maxwell to paraxial wave optics," Phys. Rev. 11, 1365 (1975).
10. G. P. Agrawal and D. N. Pattanayak, "Gaussian beam propagation beyond the paraxial approximation," J. Opt. Soc. Am. 69, 575 (1979).
11. T. Takenaka, M. Yokota and O. Fukumitsu, "Propagation of light beams beyond the paraxial approximation," J. Opt. Soc. Am. A 2, 826 (1985).
12. G. P. Agrawal and M. Lax, "Free-space wave propagation beyond the paraxial approximation," Phys. Rev. A 27, 1693 (1983).
13. S. Nemoto, "Nonparaxial Gaussian beams," Appl. Opt. 29, 1940 (1990).
14. Q. Cao and X. Deng, "Corrections to the paraxial approximation of an arbitrary free-propagation beam," J. Opt. Soc. Am. A 15, 1144 (1998).
15. A. Wunsche, "Transition from the paraxial approximation to exact solutions of the wave equation and application to Gaussian beams," J. Opt. Soc. Am. A 9, 765 (1992).
16. X. D. Zeng, C. H. Liang and Y. Y. An, "Far-firld radiation of planar Gaussian sources and comparison with solutions based on the parabolic approximation," Appl. Opt. 36, 2042 (1997).
17. H. Laabs, "Propagation of Hermite-Gaussian-beams beyond the paraxial approximation," Optics Commun. 147, 1 (1998).
18. C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381 (1999).
19. C. J. R. Sheppard, "High-aperture beams," J. Opt. Soc. Am. A 18, 1579 (2001).
20. Z. Ulanowski and I. K. Ludlow, "Scalar field of nonparaxial Gaussian beams," Optics Letters 25, 1792 (2000).
21. R. Borghi, M. Santarsiero and M. A. Porras, "Nonparaxial Bessel-Gauss beams," J. Opt Soc. Am. A 18, 1618 (2001).
22. L. W. Casperson, "Beam propagation in periodic quadratic-index waveguides," Appl. Opt. 24, 4395 (1985).
23. J. N. McMullin, "The ABCD matrix in arbitrarily quadratic-index waveguides," Appl. Opt. 25, 2184 (1986).
24. D. Bertilone and C. Pask, "Exact ray paths in a graded-index taper," Appl. Opt. 26, 1189 (1987).
25. D. Bertilone, A. Ankiewicz and C. Pask, "Wave propagation in a graded-index taper," Appl. Opt. 26, 2213 (1987).
26. J. N. McMullin, "The ABCD matrix in graded-index tapers used for beam expansion and compression," Appl. Opt. 28, 1298 (1989).
27. A. A. Tovar and L. W. Casperson, "Beam propagation in parabolically tapered graded-index waveguides," Appl. Opt. 33, 7733 (1994).
28. J. Linares and C. Gomez-Reino, "Arbitrary single-mode coupling by tapered and nontapered GRIN fiber lenses," Appl. Opt. 29, 4003 (1990).
29. S. G. Krivoshlykov and E. G. Sauter, "Propagation and focusing of nonparaxial Gaussian beams with spherical wave fronts in graded-index waveguides with polynomial profiles," J. Opt. Soc. Am. A 10, 262 (1993).
30. N. I. Petrov, "Candidate's Thesis in Physico-Mathematical Sciences" (Moscow: General Physics Institute, Russian Academy of Sciences, 1985).
31. N. I. Petrov, "Nonparaxial focusing of wave beams in a graded-index medium," Rus. J. Quantum Electronics 29, 249 (1999).
32. D. Marcuse, Light transmission optics (Van Nostrand, New York, 1972).
33. J. A. Arnaud, Beam and fiber optics (Academic Press, New York, 1976).
34. R. J. Glauber, "Coherent and incoherent states of the radiation field," Phys. Rev. 131, 2766 (1963).
35. E. Schrodinger, Naturwissenschaften, 14, 664 (1926).
36. S. G. Krivoshlykov, N. I. Petrov and I. N. Sisakyan, "Correlated coherent states and propagation of arbitrary gaussian beams in graded-index media with loss and gain," Sov. J. Quantum Electronics 7, 1424 (1986).
37. H. A. Eide and J. J. Stamnes, "Exact and approximate solutions for focusing of two-dimensional waves," J. Opt. Soc. Am. A 15, 1292 (1998).
38. Q. Wu, R. D. Grober, D. Gammon, D. S. Katzer, "Imaging Spectroscopy of Two-Dimensional Excitons in a Narrow GaAs/AlGaAs Quantum Well," Phys. Rev. Letts. 83, 2652 (1999).
39. G. von Freymann, et.al., "Computer simulations on near-field scanning optical microscopy: Can subwavelength resolution be obtained using uncoated optical fiber probes?," Appl. Phys. Letts. 73, 1170 (1998).
40. E. A. J. Marcatili, "Dielectric tapers with curved axes and no loss," IEEE J. Quant. Electr. QE-21, 307 (1985).
41. D. Bertilone, "Ray propagation and compression in a strictly adiabatic taper," Opt. Quant. Electr. 19, 361 (1987).
42. D. Bertilone, J. Love and C. Pask, "Splicing of optical waveguides with lossless graded-index tapers," Opt. Quant. Electr. 20, 501 (1988).
43. L. D. Landau and E. M. Lifschitz, Quantum Mechanics (Pergamon, Oxford, 1965).
44. N. I. Petrov, "Depolarization of light in a graded-index isotropic medium," J. Mod. Opt. 43, 2239 (1996).
45. N. I. Petrov, "Evolution of Berry's phase in a graded-index medium," Phys. Letts. A 234, 239 (1997).
46. S. Quabis, R. Dorn, M. Eberler, O. Glockl, G. Leuchs, "Focusing light to a tighter spot," Opt. Comma. 179, 1 (2000).