Samara Branch of P.N.Lebedev Physical Institute, Russian Academy of Sciences,
Samara State Aerospace University

PDF, 327 kB

Full text of article: Russian language.

DOI: 10.18287/0134-2452-2014-38-3-397-401

Pages: 397-401.

Abstract:
In this paper we provide a numerically obtained result for analytical solution for the problem of monochromatic nonparaxial Gaussian beam diffraction by uniform dielectric cylinder, which yields a focal spot outside the cylinder with linear sizes twice less than the diffraction limit in the free space in case of cylinder radius comparable with the wavelength. Although the radius of cylinder is only two times larger than the wavelength, the produced intensity in focal spot is 48 times larger than the maximal intensity of incident Gaussian beam. Two percent deviation from the resonant radius (for a fixed wavelength) causes the focal spot increase in half, and the resulted intensity in focal spot drop to value of 12 times greater than the incident beam intensity. Obtained solution corresponds to the growth of the Bessel function of order 18 coefficient in E-field amplitude Bessel series expansion.

Key words:
coherent optics, light spiral beams.

References:

1. Abramochkin, E. Product of three Airy beams / E. Abra­mochkin, E. Razueva // Optics Letters. – 2011. – V. 36(19). – P. 3732-3734. – ISSN 0146-9592.
2. Dennis, M. Propagation-invariant beams with quantum pendulum spectra: from Bessel beams to Gaussian beam-beams / M. Dennis, J. Ring // Optics Letters. – 2013. – V. 38(17). – P. 3325-3328. – ISSN 0146-9592.
   
3. Abramochkin, E. Spiral-type beams / E. Abramochkin, V. Vo­lostnikov // Optics Communications. – 1993. – V. 102(3-4). – P. 336. – ISSN 0030-4018.
   
4. Abramochkin, E. Spiral-type beams: optical and quantum aspects/ E. Abramochkin, V. Volostnikov // Optics Communications. – 1996. – V. 125(4-6). – P. 302-323. – ISSN 0030-4018.
   
5. Абрамочкин, Е.Г. Спиральные пучки света / Е.Г. Абрамочкин, В.Г. Волостников // Успехи физических наук. – 2004. – Т. 174. – С. 1273-1300. – ISSN 0042-1294.
   
6. Абрамочкин, Е.Г. Современная оптика гауссовых пучков / Е.Г. Абрамочкин, В.Г. Волостников. – М.: Физматлит, 2010. – 184 с. 
7. Переломов, А.М. Обобщённые когерентные состояния и их применения / А.М. Переломов.– М.: Наука, 1997. – 273 с.

---

© 2009, IPSI RAS
151, Molodogvardeiskaya str., Samara, 443001, Russia; E-mail: journal@computeroptics.ru ; Tel: +7 (846) 242-41-24 (Executive secretary), +7 (846) 332-56-22 (Issuing editor), Fax: +7 (846) 332-56-20