Focusing a TM01 beam with a slightly tilted parabolic mirror

Optics Express

Volumn 19, Issue 10, 2011, Pages 9201-9212

  April, Alexandre ^a   Bilodeau, Pierrick ^a   Piché, Michel ^a  

^a CENTRE D OPTIQUE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; FOCUSING;

ANGLE OF INCIDENCE; ANGLES OF INCIDENCE; COLLIMATED BEAMS; ELECTRIC ENERGIES; FOCAL REGIONS; FOCAL SPOT; FOCUSED BEAMS; FOCUSED FIELDS; FOCUSING DEVICE; FOCUSING PROPERTIES; PARABOLIC MIRRORS; PEAK INTENSITY; STREHL RATIO; VECTOR FIELDS;

MIRRORS;

EID: 79955805406     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.009201     Document Type: Article

References (34)

1. 01) laser beam at a dielectric interface," Opt. Lett. 34(23), 3601-3603 (2009).
2. H. Ichikawa and H. Kikuta, "Numerical feasibility study of the fabrication of subwavelength structure by mask lithography," J. Opt. Soc. Am. A 18(5), 1093-1100 (2001).
3. N. Bokor and N. Davidson, "4π focusing with single paraboloid mirror," Opt. Commun. 281(22), 5499-5503 (2008).
4. 01) beams under nonparaxial conditions," Opt. Express 18(21), 22128-22140 (2010).
5. M. A. Lieb and A. J. Meixner, "A high numerical aperture parabolic mirror as imaging device for confocal microscopy," Opt. Express 8(7), 458-474 (2001).
6. A. Drechsler, M. A. Lieb, C. Debus, A. J. Meixner, and G. Tarrach, "Confocal microscopy with a high numerical aperture parabolic mirror," Opt. Express 9(12), 637-644 (2001).
7. S. Quabis, R. Dorn, M. Eberler, O. Glõckl, and G. Leuchs, "Focusing light to a tighter spot," Opt. Commun. 179(1-6), 1-7 (2000).
8. S. Quabis, R. Dorn, M. Eberler, O. Glõckl, and G. Leuchs, "The focus of light-theoretical calculation and experimental tomographic reconstruction," Appl. Phys. B 72, 109-113 (2001). (Pubitemid 32908927)
9. R. Dorn, S. Quabis, and G. Leuchs, "Sharper focus for a radially polarized light beam," Phys. Rev. Lett. 91(23), 233901 (2003).
10. T. Grosjean and D. Courjon, "Smallest focal spots," Opt. Commun. 272(2), 314-319 (2007). (Pubitemid 46282800)
11. N. Davidson and N. Bokor, "High-numerical-aperture focusing of radially polarized doughnut beams with a parabolic mirror and a flat diffractive lens," Opt. Lett. 29(12), 1318-1320 (2004).
12. J. Stadler, C. Stanciu, C. Stupperich, and A. J. Meixner, "Tighter focusing with a parabolic mirror," Opt. Lett. 33(7), 681-683 (2008). (Pubitemid 351571455)
13. C. Debus, M. A. Lieb, A. Drechsler, and A. J. Meixner, "Probing highly confined optical fields in the focal region of a high NA parabolic mirror with subwavelength spatial resolution," J. Microsc. 210(3), 203-208 (2003). (Pubitemid 36723752)
14. E. W. Weisstein, "Catacaustic." From MathWorld - A Wolfram Web Resource.http://mathworld.wolfram.com/Catacaustic.html.
15. J. E. Howard, "Imaging properties of off-axis parabolic mirrors," Appl. Opt. 18(15), 2714-2722 (1979).
16. M. Avendaño-Alejo, L. Castañeda, and I. Moreno, "Caustics and wavefronts by multiple reflections in a circular surface," Am. J. Phys. 78(11), 1195-1198 (2010).
17. C. J. R. Sheppard, A. Choudhury, and J. Gannaway, "Electromagnetic field near the focus of wide-angular lens and mirror systems," IEE J. Microwaves, Opt. Acoust. 1(4), 129-132 (1977). (Pubitemid 8600812)
18. R. Barakat, "Diffracted electromagnetic fields in the neighborhood of the focus of a paraboloidal mirror having a central obscuration," Appl. Opt. 26(18), 3790-3795 (1987).
19. P. Varga and P. Tõrõk, "Focusing of electromagnetic waves by paraboloid mirrors. I. Theory," J. Opt. Soc. Am. A 17(11), 2081-2089 (2000).
20. B. Richards and E. Wolf, "Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system," Proc. R. Soc. Lond. A Math. Phys. Sci. 253(1274), 358-379 (1959).
21. E. Wolf and Y. Li, "Conditions for the validity of the Debye integral representation of focused fields," Opt. Commun. 39(4), 205-210 (1981). (Pubitemid 12448552)
22. K. S. Youngworth and T. G. Brown, "Focusing of high numerical aperture cylindrical-vector beams," Opt. Express 7(2), 77-87 (2000).
23. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, 2006), Chap. 3.
24. J. J. Stamnes, Waves in Focal Regions (Hilger, 1986), Sec. 16.1.2.
25. C. J. R. Sheppard and M. Gu, "Imaging by a high aperture optical system," J. Mod. Opt. 40(8), 1631-1651 (1993).
26. R. Kant, "Vector diffraction in paraboloidal mirrors with Seidel aberrations. I: Spherical aberration, curvature of field aberration and distortion," Opt. Commun. 128(4-6), 292-306 (1996). (Pubitemid 126394346)
27. C. J. R. Sheppard, "Vector diffraction in paraboloidal mirrors with Seidel aberrations: effects of small object displacements," Opt. Commun. 138(4-6), 262-264 (1997). (Pubitemid 127367265)
28. R. K. Singh, P. Senthilkumaran, and K. Singh, "Effect of primary coma on the focusing of a Laguerre-Gaussian beam by a high numerical aperture system; vectorial diffraction theory," J. Opt. A, Pure Appl. Opt. 10(7), 075008 (2008).
29. C. Varin, M. Piché, and M. A. Porras, "Acceleration of electrons from rest to GeV energies by ultrashort transverse magnetic laser pulses in free space," Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(2 ), 026603 (2005).
30. S. C. Tidwell, D. H. Ford, and W. D. Kimura, "Generating radially polarized beams interferometrically," Appl. Opt. 29(15), 2234-2239 (1990).
31. H. Kawauchi, Y. Kozawa, and S. Sato, "Generation of radially polarized Ti:sapphire laser beam using a c-cut crystal," Opt. Lett. 33(17), 1984-1986 (2008).
32. R. Kant, "An analytical method of vector diffraction for focusing optical systems with Seidel aberrations II: astigmatism and coma," J. Mod. Opt. 42(2), 299-320 (1995).
33. G. Rodríguez-Morales and S. Chávez-Cerda, "Exact nonparaxial beams of the scalar Helmholtz equation," Opt. Lett. 29(5), 430-432 (2004).
34. J. Sheldakova, A. Kudryashov, and T. Y. Cherezova, "Femtosecond laser beam improvement: correction of parabolic mirror aberrations by means of adaptive optics," Proc. SPIE 6872, 687203 (2008).