Method for converting a Gaussian laser beam into a uniform beam

Lee, Wai-Hon

doi:10.1016/0030-4018(81)90193-0

Cited by 43 publications

(6 citation statements)

References 3 publications

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“…The laser beam intensity profile can also be shaped to allow for the control and uniform distribution of the intensity over the surface of the sample. Laser beam shaping has been investigated over many years for industrial, military, medical and research applications such as laser therapy and materials processing 17 . The theory for beam shaping has been outlined in detail by Dickey 18 .…”

Section: Laser Beam Shaping and Heatingmentioning

confidence: 99%

Laser beam shaping for studying thermally induced damage

et al. 2011

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This paper presents an implementation of a laser beam shaping system for both heating a diamond tool and measuring the resulting temperature optically. The influence the initial laser parameters have on the resultant temperature profiles is shown experimentally and theoretically. A CO 2 laser beam was used as the source to raise the temperature of the diamond tool and the resultant temperature was measured by using the blackbody principle. We have successfully transformed a Gaussian beam profile into a flat-top beam profile by using a diffractive optical element as a phase element in conjunction with a Fourier transforming lens. In this paper, we have successfully demonstrated temperature profiles across the diamond tool surface using two laser beam profiles and two optical setups, thus allowing a study of temperature influences with and without thermal stress. The generation of such temperature profiles on the diamond tool in the laboratory is important in the study of changes that occur in diamond tools, particularly the reduced efficiency of such tools in applications where extreme heating due to friction is expected.

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Section: Laser Beam Shaping and Heatingmentioning

confidence: 99%

Laser beam shaping for studying thermally induced damage

et al. 2011

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“…In this calculation, we assumed that the mirror surface profile S'(x,y) is described by S'(x, y) = S0 (x, y) + A . sin(2i/L) (2) where So is the ideal surface profile for transformation from a Gaussian profile to a uniform rectangular profile, A is the amplitude and L is the spatial period of the ripples. The spherical error is ignored in this calculation.…”

Section: Influence Of Fabrication Error On Uniformity Of Transformed mentioning

confidence: 99%

<title>Influence of fabrication precision on laser beam forming by fabricated optics</title>

et al. 1996

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The profile of a laser beam was transformed into a rectangular uniform profile using a fabricated mirror. However, intensity ripples in the lransformed beam were observed. These intensity ripples resulted from small ripples on the fabricated mirror surface. The peak-to-valley height and the peak-to-peak distance of the ripples on the mirror surface due to the fabrication error are 1.2 mm and about 10 nm, respectively. We evaluated the effect of these small ripples on the transformed intensity profile by calculating the laser beam propagation characteristics. The calculated laser beam profile was similar to the actual beam profile, and exhibited intensity ripples. Therefore, the intensity ripples of the reshaped beam resulted from the small ripples on the fabricated surface with the peak-to-valley height of 1/60 A . These ripples on the fabricated surface were probably caused by the feed speed error of the x-y stage of the fabrication machine.

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“…However these methods have some limitations: the energy losses for the apodization technique [8], the lack of flexibility for the phase plate [9][10][11] and the complexity for the deformable mirror and programmable wave-front tailoring device [12,13].…”

Section: Introductionmentioning

confidence: 99%