Calculation of complex transmission function of refractive axicons
A.V. Ustinov, S.N. Khonina
Full text of article: Russian language.
Abstract:
In work on the basis of the geometric-optical analyzing the rays tracing for refractive axicons in two configurations is considered: at falling laser radiation on a flat side of an axicon and on a tip. The executed calculations allow to receive for an axicon complex transmission function which further is used in vectorial Rayleigh–Sommerfeld diffraction integral for modelling propagation light after axicon in the near zone of diffraction.
Key words:
refractive axicon, total inner reflection, vectorial Rayleigh–Sommerfeld integral, near zone of diffraction.
References:
- McLeod, J.H. The axicon: a new type of optical element / J.H. McLeod // J. Opt. Soc. Am. – 1954. – V. 44. – P. 592-597.
- Jaroszewicz, Z. Axicon – the most important optical element / Z. Jaroszewicz, A. Burvall, A.T. Friberg. – Optics & Photonics News, April 2005.
- Durnin, J. Diffraction-free beams / J. Durnin, J.J. Miceli, Jr. and J.H. Eberly // Phys. Rev. Lett. – 1987. – V. 58. – P. 1499-1501.
- Turunen, J. Holographic generation of diffraction-free beams / J. Turunen, A. Vasara and A.T. Friberg // Appl. Opt. – 1988. – V. 27. – P. 3959-3962.
- Kaenders, W.G. Refractive components for magnetic atom optics / W.G. Kaenders, F. Lison, I. Muller, A. Richter, R. Wynands and D. Meschede // Phys. Rev. A. – 1996. – V. 6, N 6. – P. 5067-5075.
- Arlt, J. Atom guiding along Laguerre-Gaussian and Bessel light beams / J. Arlt, T. Hitomi, K. Dholakia //Appl. Phys. – 2000. – V. 71. – P. 549-554.
- Arlt, J. Optical dipole traps and atomic waveguides based on Bessel light beams / J. Arlt [et al.] // Phys. Rev. – 2001. – V. 63. – P. 063602.
- Garces-Chavez, V. Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam / V. Garces-Chavez [et al.] // Nature. – 2002. – V. 419. – P. 145-147.
- Cizmar, T. An optical nanotrap array movable over a milimetre range / T. Cizmar, M. Siler, P. Zemanek // Appl. Phys. B. – 2006. – Vol. 84. – P. 197–203.
- Vahimaa, P. Electromagnetic analysis of nonparaxial Bessel beams generated by diffractive axicons / Pasi Vahimaa, Ville Kettunen, Markku Kuittinen, Jari Turunen and Ari T. Friberg // J. Opt. Soc. Am. A. – 1997. – Vol. 14, N 8. – P. 1817-1824.
- Zhang, Y. Vector propagation of radially polarized Gaussian beams diffracted by an axicon / Y. Zhang, L. Wang, C. Zheng // J. Opt. Soc. Am. A. – 2005. – Vol. 22, N 11. – P. 2542-2546.
- Kotlyar, V.V. Modeling sharp focus radially-polarized laser mode with conical and binary microaxicons / V.V. Kotlyar, S.S. Stafeev // Computer Optics. – 2009. – V. 33, N 1. – P. 52-60. – (in Russian).
- Khonina, S.N. Calculation of diffraction of the linearly-polarized limited beam with uniform intensity on high-aperture binary micro-axicons in a near zone / S.N. Khonina, A.V. Ustinov, S.G. Volotovsky, A.A. Kovalev // Computer Optics. – 2010. – Vol. 34, N 4. – P. 433-460. – (in Russian).
- Khonina, S.N. Propagation of the radially-limited vortical beam in a near zone. Part I. Calculation algorithms / S.N. Khonina, A.V. Ustinov, A.A. Kovalev, S.G. Volotovsky // Computer Optics. – 2010. – Vol. 34, N 3. – P. 317-332. – (in Russian).
- Ustinov, A.V. The fast way for calculation of first class Rayleigh-Sommerfeld integral / A.V. Ustinov // Computer Optics. – 2009. – V. 33, N 4. – P. 412-419. – (in Russian).
- Khonina, S.N. Fast calculation algorithms for diffraction of radially-vortical laser fields on the microaperture / S.N. Khonina, A.V. Ustinov, S.G. Volotovsky, M.A. Ananin // Izvest. SNC RAS – 2010. – V. 12(3). – P. 15-25. – (in Russian).
- Luneburg, R.K. Mathematical Theory of Optics / R.K. Luneburg. – University of California Press, Berkeley, California, 1966.
- Ciattoni, A. Vectorial analytical description of propagation of a highly nonparaxial beam / A. Ciattoni, B. Crosignani and P. D. Porto // Opt. Commun. – 2002. – Vol. 202. – P. 17–20.
© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: ko@smr.ru; Phones: +7 (846) 332-56-22, Fax: +7 (846) 332-56-20