# The character of beam of light of the gauss in laser beam machining and transmission commutation

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Dimension of better to acquire quality of beam of light, facula density of lesser, power is higher, the laser that suits laser beam machining bundle, to laser beam machining medium gauss beam of light undertakes transmission with commutation.

Reach its to transmitted commutation to undertake theoretical analysis to the character of gauss beam of light first, be in after that actual in try test and verify.

The result makes clear, facula diameter can be obtained after transmitting commutation through this kind lesser, power density is higher, the laser that can be used at laser beam machining bundle.

Showing this kind of transmission shift is feasible and effective. Normal Align=left> , the gauss beam of light that often should output to laser undertakes transmit and alternating, in order to win quality of better beam of light and lesser facula measure.

Gauss beam of light is laser electromagnetic wave the Helmholtz equation that when stable state travels place of its report vector satisfies changes in delay one when amplitude falls approximately is solved especially, it is in the Helmholtz equation of free space: Normal Align=left>normal Align=left> takes this equation, those who get condition of again close axis falls is special solution is: Normal Align=left>normal Align=left>normal Align=left> 0 it is its stays radius. Then attainable gauss beam of light is in the transmission rule in even medium: Normal Align=left>normal Align=left>normal MARGIN of parameter of a few descriptions of beam of light of gauss of 0cm 0cm 0pt" Align=left>1: 0cm 0cm 0pt" Align=left>normal Align=left>1.

Quality of 1 beam of light because Normal Align=left>normal Align=left>normal Align=left> is the parameter that token stimulates quality of beam of light of space of beam of light.

Can prove, when adopting optical system of close axis ABCD, m2 of factor of quality of beam of light is a transmission invariant.

Pass ACBD optical system to undertake to gauss beam of light M2 is worth transmission do not affecting its with commutation so. Normal Align=left>normal Align=left>1.

Normal Align=left>normal Align=left> to surge the parallel level of beam of light, namely: Normal Align=left>normal Align=left> namely the product of the smooth waist radius of beam of light and horn of diverge of its far field is a transmission invariant.

Lesser smooth waist radius means part of larger far field diverge, conversely, role of minor far field diverge means bigger smooth waist radius. Normal Align=left>normal Align=left>1.

Of 3 gauss beam of light answer parameter Q{Z}normal Align=left>normal Align=left>normal Align=left>2 and commutation Normal Align=left>normal Align=left>2.

1 gauss beam of light reflexes Normal Align=left>normal Align=left> reflexes via flat looking glass is: Normal Align=left>normal Align=left>normal Align=left>normal Align=left> is reflexed via flat looking glass so its M2 factor, wait for ρ of radius of curvature of tell sb's fortune by reading his face (Z) , answer parameter Q(z) and θ of horn of far field diverge 0 wait for parameter to if the graph is shown 1 times,do not produce change, its character still can continue after demonstrative gauss beam of light is reflexed via flat looking glass.

Introduce Zhen Jing system to control smooth road to won't change the character of gauss beam of light in laser beam machining so, but the rate that can raise its automata greatly.

Normal Align=left>normal Align=left>2.

2 gauss beam of light enters the even medium Normal Align=left>normal Align=left> enters the refractive index of isotropy to be the even medium of N by air is: Normal Align=left>normal Align=left>normal Align=left> its answer parameter Q(z) , etc P(z) of radius of curvature of tell sb's fortune by reading his face and in all anxious parameter Z0 enlarged N times; is contrary, in be like it to take person air by the even medium of isotropy hind, its Q(z) , P(z) and Z0 narrowed N times. Normal Align=left>normal Align=left>2.

What 3 gauss beam of light passes isotropy is even medium piece Normal Align=left>normal Align=left> passes isotropy is even the commutation matrix when medium piece is: Normal Align=left>normal Align=left>normal Align=left> passes an isotropy namely is even its character does not produce change when medium piece. Normal Align=left>normal Align=left> wants to will stimulate beam of light to be brought to to fill sometimes in laser beam machining undertake machining in the housing that has inert gase protection, want to pass a transparent to stimulating beam of light even medium. Normal Align=left>normal Align=left>2.

4 gauss beam of light is the thin lens Normal Align=left>normal Align=left>normal Align=left>normal Align=left>normal Align=left>nextpagenormal > explains, when lens before when the stays in gauss beam of light is in focal length, just can get spot of the biggest waist of beam of light after lens, spot of the biggest waist of beam of light means corner of diverge of its far field the smallest; and by () the focal distance that 4 type know lens is greater, the spot of waist of beam of light of the beam of light after the course alternates is bigger, part of corresponding diverge of its far field is smaller.

The parallel sex of beam of light is better, this kind of beam of light is helpful for remote transmit.

In laser beam machining, the ability after needing to will stimulate beam of light to pass what be apart from certainly to transmit arrives at the surface that machines an object, this kind of method is helpful for stimulating beam of light more remote transmit. Normal > is in (2) ' in type, be like your Z>>f, and when Z>>Z0, have Z ' the repass after ≈ F explains when a bundle of gauss beam of light passes longer space when a lens, the position of smooth waist spot locates at resembling Fang Jiaoping the face is in.

This is helpful for follow-up commutation.

Want to get lesser facula, by type (3) is knowable should choose the lens with lesser focal length, and place lens be in those who leave stays of beam of light further locally.

Stimulate beam of light mediumly to be mixed through Zhen Jing reflex in laser beam machining namely more remote the lens with a lesser focal length is being used after transmitting is helpful for focusing facula.

Normal >normal >2.

5 gauss beam of light passes the commutation Normal Align=center>normal Align=center>normal > shows, matrix of its ABCD change is Normal Align=left>normal Align=left>normal Align=left>normal Align=left>normal Align=left>normal Align=left>normal Align=left>normal MARGIN of conclusion of 0cm 0cm 0pt">3: 0cm 0cm 0pt">normal > is reflexed via flat looking glass or pass an isotropy is even when the characteristic and changeless; when medium piece should enter isotropy medium, its answer parameter Q(z) , etc P(z) of radius of curvature of tell sb's fortune by reading his face and in all anxious parameter Z0 enlarged N when times; should pass a lens, be like lens before focal length is in in the stays of gauss beam of light, can get part of the smallest far field diverge after lens.

This kind of beam of light is helpful for remote transmit.

Pass the repass after longer certain distance when beam of light of a bundle of gauss when a lens, the position of spot of waist of beam of light locates at resembling Fang Jiaoping the face is in.

This is helpful for follow-up commutation.

Undertook an analysis to passing the case of two lens additionally, reached a few useful conclusion.

Pass by the even medium of lens face, isotropy piece (like glass) , enlarge bundle after the lens that use sheet and focusing use those who look at far system to transmit commutation, got facula diameter lesser, power density is higher, comfortable the laser at laser beam machining bundle. CNC Milling CNC Machining