CN103760673A - Optical system for generating approximate diffraction-free zero-order Mathieu beam - Google Patents
Optical system for generating approximate diffraction-free zero-order Mathieu beam Download PDFInfo
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Abstract
The invention discloses an optical system for generating an approximate diffraction-free zero-order Mathieu beam. The optical system for generating the approximate diffraction-free zero-order Mathieu beam comprises an optical platform, a laser device is arranged on the optical platform, and a cylindrical lens, a short focal length lens, a long focal length lens and an axicon are arranged along the light path of the laser device, wherein the short focal length lens is arranged nearby the focus of the cylindrical lens, and the focus of the short focal length lens and the focus of the long focal length lens are overlapped. The optical system can generate the approximate diffraction-free zero-order Mathieu beam, and provides a simple and effective new approach for obtaining the zero-order Mathieu beam. The beam can be applied to the fields of laser material processing, collimation measurement, optical wireless communication and the like.
Description
Technical field
The present invention relates to optical field, specifically a kind of optical system being similar to without diffraction zeroth order Mathieu beam that produces.
Background technology
The concept of Beams is that the Durnin of the 1987 Nian You U.S. proposes, and because its distribution of light intensity on the direction of propagation has the characteristic not changing with propagation distance, receives a large amount of concerns.Beams is one group of special solution of space free scalar wave equation, our known Bessel beams(bessel beam) be the one group solution of this wave equation under cylindrical-coordinate system, if solve this wave equation under elliptic cylinder coordinates, just can obtain another group and separate, it is exactly that Mathieu beams(horse is lost light beam).With the same without diffraction Bessel beams, Mathieu beams also can be for optical measurement, optical lithography, medical imaging, the fields such as nonlinear optics and light channel radio.
At present, the method that produces zeroth order Mathieu beams has multiple: as computer-generated hologram method, and circumferential weld lens method, laserresonator method etc.But computer-generated hologram method need to be used computing machine and spatial light modulator, high and the system complex of cost, laserresonator method debugging laser cavity difficulty is large and equipment cost is high, though circumferential weld lens method is simple, but clear aperature is little, the efficiency of light energy utilization is low, is therefore unfavorable for the practical application of Mahtieu beams.
Summary of the invention
The object of the present invention is to provide a kind of energy quick and easy, produce the approximate optical system without diffraction Mathieu beam expeditiously.
To achieve these goals, the present invention adopts following technical scheme:
Comprise optical table, on this optical table, be placed with laser instrument, along the laser optical path of this laser instrument, place successively post lens, short focal length lens, long-focus lens and axle pyramid; Wherein, short focal length lens is placed near the focus of post lens, and the focus of short focal length lens overlaps with the focus of long-focus lens.
Above-mentioned laser instrument is He-Ne laser instrument.
Above-mentioned post lens are projection lens.
Above-mentioned short focal length lens and above-mentioned long-focus lens form a collimating and beam expanding system, and the enlargement factor of this collimating and beam expanding system regulates by choosing the different focal lengths of lens.
Above-mentioned axle pyramid is traditional refraction profile shaft pyramid.
Adopt after such scheme, the laser beam sending when laser instrument is first Elliptical Gaussian Beam through post lens transformation, and then after collimating and beam expanding system collimator and extender, then the focusing of warp beam pyramid, in last distance certain after axle pyramid, form approximate without diffraction Mathieu beam.This optical system structure is very simple, and the axle pyramid advantages such as to have optical damage threshold high, and clear aperature is large, therefore with axle pyramid, produces Mathieu beam simpler than computer-generated hologram method resonant cavity method, and cost is low, higher than circumferential weld lens method efficiency.Therefore the present invention provides a kind of succinct for obtaining to be similar to without diffraction Mathieu beam, efficiently new way.The fields such as in actual applications, particularly laser material is processed, biomedical have special meaning.
Accompanying drawing explanation
Fig. 1 is the theory of constitution figure of optical system of the present invention;
Fig. 2 is the light path schematic diagram of optical system of the present invention;
Fig. 3 is the computer simulation hot spot figure of optical system of the present invention.
Fig. 4 is the experiment hot spot figure of optical system of the present invention.
Embodiment
In order further to explain, below by specific embodiment, system of the present invention is described in detail the technical scheme of system of the present invention.
A kind of approximate optical system without diffraction Mathieu beam that produces of the present invention, as shown in Figure 1, comprise optical table 1 and use respectively the laser instrument 2 of fixed support 7 supporting and locations on optical table 1, post lens 3, short focal length lens 4, long-focus lens 5 and axle pyramid 6.Laser instrument 2 is arranged on optical table 1 by fixed support 7, along the laser optical path of this laser instrument 2, places successively post lens 3, short focal length lens 4, long-focus lens 5, axle pyramid 6, and microscope and CCD camera arrangement 8.
Post lens 3 adopt convex-surface type post lens.
Short focal length lens 4, near the focus of post lens 3, does not require that short focal length lens 4 strictly overlaps with the focus of post lens 3.
The focus of the focus of short focal length lens 4 and long-focus lens 5 overlaps, and by short focal length lens 4 and long-focus lens 5, forms a collimating and beam expanding system, and the enlargement factor of collimating and beam expanding system can regulate by choosing the different focal lengths of lens as required.
Axle pyramid 6 adopts traditional refraction profile shaft pyramid.Axle pyramid 6 is placed on the rear of long-focus lens 5 along light path, distance is not limit.
Microscope and CCD photographic system 8 are an integral body, are used for taking the hot spot distribution at different propagation distance place.
During work, as shown in Figure 2, first He-Ne laser instrument 2 is opened, laser beam is transformed to Elliptical Gaussian Beam through post lens 3, and then after short focal length lens 4 and long-focus lens 5 collimator and extenders, on axle pyramid 6, form a long and narrow oval-shaped hot spot, in the rear certain distance of axle pyramid 6, form and be similar to without diffraction Mathieu beam, its maximum can be by formula Z without diffraction propagation distance
max≈ a[(n-1) γ] approximate treatment obtains, and wherein a is the major axis radius that incides the ellipse light spot on axle pyramid 6, and n is the refractive index of axle pyramid 6, and γ is the base angle of axle pyramid 6.
As embodiment, we select the focal distance f=300mm of projection lens 3, focal distance f=the 190mm of the focal distance f=15mm of short focal length lens 4, long-focus lens 5, γ=0.5 °, base angle of axle pyramid 6, refractive index n=1.458, during experiment, build light path system according to the light path of Fig. 2, in the rear a distance of axle pyramid 6, with microscope and CCD camera 8, take, shooting results as shown in Figure 4.For confirmatory experiment and theoretical consistance, according to Fresnel diffraction integral theory, γ=0.5 °, base angle of our chosen axis pyramid 6, refractive index n=1.458, incide the major axis radius ω of the hot spot of the Elliptical Gaussian Beam on axle pyramid 6
x=5mm, minor axis radius ω
y=1.5mm is as parameter, carry out numerical simulation calculation obtain zero-order approximation after axle pyramid 6 without diffraction mathieu light beam the surface of intensity distribution at different propagation distance place, as shown in Figure 3.It is 5mm that experiment records the major axis radius that incides the ellipse light spot on axle pyramid 6, utilizes formula Z
max≈ a[(n-1) γ] the maximum the non diffracting distance that calculates is about 625mm, and the maximum the non diffracting distance that experiment records is 610mm, and experiment meets substantially with theory.
Thus, this optical system provides a kind of succinct, effective method for obtaining to be similar to without diffraction Mathieu beam.In actual applications, particularly for laser material, process, the fields such as biomedicine have special meaning.
The product form of above-described embodiment and graphic and non-limiting system of the present invention and style, suitable variation or modification that any person of an ordinary skill in the technical field does it, all should be considered as not departing from the patent category of system of the present invention.
Claims (5)
1. one kind produces the approximate optical system without diffraction zeroth order Mathieu beam, it is characterized in that: comprise optical table, on this optical table, be placed with laser instrument, along the laser optical path of this laser instrument, place successively post lens, short focal length lens, long-focus lens and axle pyramid; Wherein, short focal length lens is placed near the focus of post lens, and the focus of short focal length lens overlaps with the focus of long-focus lens.
2. a kind of approximate optical system without diffraction zeroth order Mathieu beam that produces as claimed in claim 1, is characterized in that: above-mentioned laser instrument is He-Ne laser instrument.
3. a kind of approximate optical system without diffraction zeroth order Mathieu beam that produces as claimed in claim 1, is characterized in that: above-mentioned post lens are projection lens.
4. a kind of approximate optical system without diffraction zeroth order Mathieu beam that produces as claimed in claim 1, it is characterized in that: above-mentioned short focal length lens and above-mentioned long-focus lens form a collimating and beam expanding system, and the enlargement factor of this collimating and beam expanding system regulates by choosing the different focal lengths of lens.
5. a kind of approximate optical system without diffraction zeroth order Mathieu beam that produces as claimed in claim 1, is characterized in that: above-mentioned axle pyramid is traditional refraction profile shaft pyramid.
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104199189A (en) * | 2014-09-12 | 2014-12-10 | 华侨大学 | Optical system capable of generating banding diffraction-free light beams |
| CN105081565A (en) * | 2015-08-10 | 2015-11-25 | 武汉华工激光工程有限责任公司 | System and method for material processing by shaped light beams |
| CN107741643A (en) * | 2017-11-20 | 2018-02-27 | 华侨大学 | The optical system of Mathieu light beams is produced using partially coherent light |
| CN108319029A (en) * | 2018-02-01 | 2018-07-24 | 浙江师范大学 | Amplitude modulation generates the method that horse loses light beam |
| CN108594444A (en) * | 2018-03-28 | 2018-09-28 | 浙江师范大学 | The method for generating Mathieu light beams based on film amplitude modulation and axicon lens phase-modulation |
| CN109254401A (en) * | 2018-11-14 | 2019-01-22 | 苏州大学 | It is a kind of to generate the secretly method and device with anti-dark Beams |
| CN109412688A (en) * | 2018-11-21 | 2019-03-01 | 中国舰船研究设计中心 | Salt free ligands phase-plate of microwave frequency band and preparation method thereof |
| CN112427814A (en) * | 2019-08-23 | 2021-03-02 | 大族激光科技产业集团股份有限公司 | Laser pre-segmentation device and laser pre-segmentation method |
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Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104199189A (en) * | 2014-09-12 | 2014-12-10 | 华侨大学 | Optical system capable of generating banding diffraction-free light beams |
| CN105081565A (en) * | 2015-08-10 | 2015-11-25 | 武汉华工激光工程有限责任公司 | System and method for material processing by shaped light beams |
| CN107741643A (en) * | 2017-11-20 | 2018-02-27 | 华侨大学 | The optical system of Mathieu light beams is produced using partially coherent light |
| CN108319029A (en) * | 2018-02-01 | 2018-07-24 | 浙江师范大学 | Amplitude modulation generates the method that horse loses light beam |
| CN108594444A (en) * | 2018-03-28 | 2018-09-28 | 浙江师范大学 | The method for generating Mathieu light beams based on film amplitude modulation and axicon lens phase-modulation |
| CN109254401A (en) * | 2018-11-14 | 2019-01-22 | 苏州大学 | It is a kind of to generate the secretly method and device with anti-dark Beams |
| CN109254401B (en) * | 2018-11-14 | 2023-12-15 | 苏州大学 | Method and device for generating dark and anti-dark non-diffraction light beams |
| CN109412688A (en) * | 2018-11-21 | 2019-03-01 | 中国舰船研究设计中心 | Salt free ligands phase-plate of microwave frequency band and preparation method thereof |
| CN112427814A (en) * | 2019-08-23 | 2021-03-02 | 大族激光科技产业集团股份有限公司 | Laser pre-segmentation device and laser pre-segmentation method |
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Application publication date: 20140430 |