Generalization Of The Ronchi Ruling Method For Measuring Gaussian Beam Diameter

Measurement of a broad range of Gaussian laser beam diameters using various periodic and aperiodic rulings

“…[10,11]. On the other hand, beam radius measurements for r 0 =L larger than 1 are not possible since the minimum power transmitted becomes comparable to the maximum power transmitted when the Gaussian laser beam is scanning a ruling [10,11]. Recently, in order to overcome these two deÿciencies of the Ronchi ruling measurement method, new rulings were proposed in the literatures [12][13][14][15][16][17].…”

“…Because of the rectangular nature of the Ronchi ruling, beam radius values lower than 0:2L cannot be measured, as it was illustrated in the discontinuity of r 0 =L curves in Refs. [10,11]. On the other hand, beam radius measurements for r 0 =L larger than 1 are not possible since the minimum power transmitted becomes comparable to the maximum power transmitted when the Gaussian laser beam is scanning a ruling [10,11].…”

“…There are few common methods used to accurately measure the radius of a Gaussian beam. The knife-edge scan technique, the derivative knife-edge scan technique, and the Ronchi-ruling technique are just a few examples [3][4][5][6][7][8][9][10][11]. The knife-edge measurement has the advantage of obtaining a more direct representation of the beam proÿle.…”

“…The theory of beam diameter measurement using the Ronchi technique has been well established in the literature [10,11]. It is mainly based on measuring the modulation power either transmitted or re ected by a ruling.…”

“…Error-function analysis [9][10][11]: The measured transmitted output power as the laser beam scans the ruling can be expressed as…”