Theoretical and Experimental Studies on Influence of Collimation Error on Beam Quality Factor Measurement

Fig. 1. Intensity distributions of fundamental mode Gaussian beam. (a) Spot barycenter located at CCD center; (b) spot barycenter deviated from CCD center

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Fig. 2. Spot radius versus beam deviation value. (a) Change of wx(S+N)Δ in rectangular area; (b) change of wy(S+N)Δ in rectangular area; (c) spot radius versus Δx; (d) spot radius versus Δy

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Fig. 3. M2 factor versus beam deviation value. (a) Change of Mx(S+N)Δ2 in rectangular area; (b) change of My(S+N)Δ2 in rectangular area; (c) M2 factor versus Δx; (d) M2 factor versus Δy

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Fig. 4. (a) Intensity distribution of L-G2,2; (b)(c) spot radius and (d)(e) M2 factor versus beam deviation value

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Fig. 5. Measurement system for M2 factor of deviated beam

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Fig. 6. Variation in spot radius when beam deviates from CCD center along x-axis

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Fig. 7. Variation in M2 factor when beam deviates from CCD center along x-axis

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Fig. 8. Beam propagation curves with two different offsets and their corrected results

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Table 1. Spot radius w(S+N)Δj(j=1,2) with two different deviation values and corrected spot radius w(S+N)

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Table 1. Spot radius w(S+N)Δj(j=1,2) with two different deviation values and corrected spot radius w(S+N)

(Δ₁,Δ₂)	(L/3,-L/10)	(L/4,L/7)	(L/9,-L/4)
w_(S+N)_Δ₁ /(10^-4 m)	5.1619	4.3089	3.3782
w_(S+N)_Δ₂ /(10^-4 m)	3.3210	3.5443	4.2979
Corrected w_(S+N) /(10^-4 m)	3.0797	3.1066	3.1104
Corrected w_(S+N) /(10^-4 m)	3.1066	3.1066	3.1037
Error /m	-2.6939×10^-6	-1.6781×10^-9	6.6647×10^-7

Table 3. Corrected results of five-group MΔi2 when optical path is decollimation

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Table 3. Corrected results of five-group MΔi2 when optical path is decollimation

Parameter	M² factor
Parameter	$\begin{matrix} M_{Δ 1}^{2} \end{matrix}$	$\begin{matrix} M_{Δ 2}^{2} \end{matrix}$	$\begin{matrix} M_{Δ 3}^{2} \end{matrix}$	$\begin{matrix} M_{Δ 4}^{2} \end{matrix}$	$\begin{matrix} M_{Δ 5}^{2} \end{matrix}$
$\begin{matrix} M_{Δ 1}^{2} \end{matrix}$	NaN	1.2544	1.2656	1.3234	1.3142
$\begin{matrix} M_{Δ 2}^{2} \end{matrix}$	1.2544	NaN	1.2788	1.2811	1.2889
$\begin{matrix} M_{Δ 3}^{2} \end{matrix}$	1.2656	1.2788	NaN	1.2901	1.3241
$\begin{matrix} M_{Δ 4}^{2} \end{matrix}$	1.3234	1.2811	1.2901	NaN	1.3508
$\begin{matrix} M_{Δ 5}^{2} \end{matrix}$	1.3142	1.2889	1.3241	1.3508	NaN

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Liu Qinhou, Feng Guoying, Deng Guoliang, Wang Guozhen, Long Fengqiong. Theoretical and Experimental Studies on Influence of Collimation Error on Beam Quality Factor Measurement[J]. Chinese Journal of Lasers, 2017, 44(9): 905001

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Paper Information

Category: beam transmission and control

Received: Mar. 10, 2017

Accepted: --

Published Online: Sep. 7, 2017

The Author Email: Qinhou Liu (1421091396@qq.com)

DOI:10.3788/CJL201744.0905001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology