title: Ð¡Ð²ÐµÑÑ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ° Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð²ÑÑ Ð»Ð°Ð·ÐµÑÐ¾Ð² Ð´Ð»Ñ Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð¸ÐºÑÐ¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¸ Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¾Ð±ÑÐµÐºÑÐ°Ð¼Ð¸
title: Ð½Ð°ÑÑÐ½ÑÐ¹ Ð´Ð¾ÐºÐ»Ð°Ð´
titleType: Subtitle
title: Superfocusing of multimode semiconductor lasers for optical manipulation of microscopic biological objects
Creators: name: Ð¡Ð¾Ð±Ð¾Ð»ÐµÐ²Ð°, ÐÑÐµÐ½Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2019
Subjects: ÑÐ²ÐµÑÑ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ° Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ
Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾-Ð¸Ð½Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ½ÑÐµ Ð¿ÑÑÐºÐ¸
Ð¿Ð¾Ð»ÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð²ÑÐµ Ð»Ð°Ð·ÐµÑÑ
Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»ÑÑÐ¸Ñ
super-focusing
Bessel beams
semiconductor lasers
optical manipulation

description: Ð ÑÐ°Ð±Ð¾ÑÐµ Ð´Ð¾ÐºÐ°Ð·Ð°Ð½Ð° Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²ÐµÑÑÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð²Ð¾Ð³Ð¾ Ð»Ð°Ð·ÐµÑÐ° Ñ Ð²ÑÑÐ¾ÐºÐ¸Ð¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð¼ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð»ÑÑÐ° Ð² Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸ÑÑ Ð±Ð¸Ð¾ÑÐ¾ÑÐ¾Ð½Ð¸ÐºÐ¸ Ð´Ð»Ñ Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð·Ð°ÑÐ²Ð°ÑÐ° Ð¸ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ¸ÑÑÐ¾ÑÐ¸ÑÐ°Ð¼Ð¸ Ð¸ Ð´ÑÑÐ³Ð¸Ð¼Ð¸ Ð¼Ð¸ÐºÑÐ¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¾Ð±ÑÐµÐºÑÐ°Ð¼Ð¸. ÐÐ¾Ð½ÑÐµÐ¿ÑÐ¸Ñ Â«ÑÐ²ÐµÑÑÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ¸Â» Ð´Ð»Ñ Ð»Ð°Ð·ÐµÑÐ° Ñ Ð²ÑÑÐ¾ÐºÐ¸Ð¼ M^2 Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð° Ð½Ð° Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸ ÐÐµÑÑÐµÐ»ÐµÐ²Ð° Ð¿ÑÑÐºÐ° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÐºÐ¾Ð½Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð»Ð¸Ð½Ð·Ñ Ð¸ Ð´Ð¾Ð¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð½Ð¾Ð²Ð¾Ð¹ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸ÐµÐ¹ Ð´Ð»Ñ Ð°ÐºÑÐ¸ÐºÐ¾Ð½Ð° Ð½Ð° ÑÐ¾ÑÑÐµ Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð²Ð¾Ð»Ð¾ÐºÐ½Ð°. ÐÐ°Ð¼ ÑÐ´Ð°Ð»Ð¾ÑÑ Ð´Ð¾ÑÑÐ¸ÑÑ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð·Ð¼ÐµÑÐ° ÑÐ²ÐµÑÑÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ° Ð¿Ð¾ÑÑÐ´ÐºÐ° 2â4 Ð¼ÐºÐ¼ Ð¿ÑÐ¸ Ð´Ð»Ð¸Ð½Ðµ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ 20 Ð¼ÐºÐ¼. Ð­ÑÐ¾ Ð±ÑÐ»Ð¾ ÑÐ´ÐµÐ»Ð°Ð½Ð¾ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼Ð¸ÐºÑÐ¾Ð°ÐºÑÐ¸ÐºÐ¾Ð½Ð° Ñ ÑÐ³Ð»Ð¾Ð¼ Ð¿ÑÐ¸ Ð²ÐµÑÑÐ¸Ð½Ðµ 140Â° Ð¸ Ð»Ð°Ð·ÐµÑÐ½Ð¾Ð³Ð¾ Ð»ÑÑÐ° 960 Ð½Ð¼ Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð¼ ÑÐ°ÑÐ¿ÑÐ¾ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ñ Ð»ÑÑÐ° M^2 = 18. Ð­ÑÐ¾ Ð´Ð°ÐµÑ Ð½Ð° Ð¿Ð¾ÑÑÐ´Ð¾Ðº Ð¼ÐµÐ½ÑÑÐ¸Ð¹ ÑÐ°Ð·Ð¼ÐµÑ ÑÐ¾ÐºÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÑÑÐ½Ð° Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ ÑÐ°Ð·Ð¼ÐµÑÐ¾Ð¼ ÑÐ¾ÐºÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÑÑÐ½Ð°, Ð´Ð¾ÑÑÐ¸Ð¶Ð¸Ð¼ÑÐ¼ Ð¿ÑÐ¸ ÑÐ°ÐºÐ¾Ð¼ Ð»ÑÑÐµ Ð¸ Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð»Ð¸Ð½Ð·Ðµ NA = 1. Ð¢Ð°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ²Ð»ÑÑÑÑÑ ÑÐ¾ÑÐ¾ÑÐ¸Ð¼ Ð¿ÑÐµÐ´Ð·Ð½Ð°Ð¼ÐµÐ½Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð´Ð»Ñ Ð±ÑÐ´ÑÑÐ¸Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ¾Ðº Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð², ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð»Ð°Ð·ÐµÑÐ½Ð¾Ð¹ Ð¿ÐµÑÐ°ÑÐ¸, Ð±Ð¸Ð¾Ð¼ÐµÐ´Ð¸ÑÐ¸Ð½ÑÐºÐ¾Ð¹ ÑÐ¾ÑÐ¾Ð½Ð¸ÐºÐ¸, Ð³Ð´Ðµ ÑÑÐµÐ±ÑÐµÑÑÑ ÐºÐ°Ðº Ð²ÑÑÐ¾ÐºÐ°Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÑ, ÑÐ°Ðº Ð¸ ÑÐ¾ÑÐ½Ð°Ñ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ°.
description: The super-focused radiation from a semiconductor laser with a high beam propagation parameter can be used in biophotonics applications for optical trapping and tweezing of red blood cells and other microscopic objects. The concept of âsuper-focusingâ for laser-diode high-M^2 beams relies on the generation of a Bessel beam using a conical lens and based on the novel fibre-integrated design for the axicon. We have been able to achieve the transverse size of the needle-beam of approximately 2â4âÂµm with a propagation length of 20âÂµm. This was produced with a 140Â° micro-axicon from a 960ânm laser beam with beam propagation parameter M^2â=â18. This gives approximately an order of magnitude reduction of the focal spot size in comparison to the minimal focal spot size achievable with such a beam and an ideal NAâ=â1 lens. These outcomes thus bode well for future diode-based configurations in material processing and 3D laser printing as well as for multiple biomedical photonics-based applications, where both high power and tight focusing is required.