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Measurement Method and System of Optical Fiber-Based Beam Width Using a Reflective Grating Panel

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Copyright ⓒ The Korean Society for Aeronautical & Space Sciences 175 http://ijass.or.kr pISSN: 2093-274x eISSN: 2093-2480

Technical Paper

Int’l J. of Aeronautical & Space Sci. 12(2), 175–178 (2011) DOI:10.5139/IJASS.2011.12.2.175

Measurement Method and System of Optical Fiber-Based Beam Width Using a Reflective Grating Panel

Yeon-Gwan Lee**, Byeong-Wook Jang**, Yoon-Young Kim**, Jin-Hyuk Kim**

and Chun-Gon Kim*

Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea

Abstract

An optical fiber-based beam width measurement technique is presented. The proposed system can be applied to the optical fiber industry in applications such as lensed fiber, optical fiber based laser beam source, and fiber optic sensor. The measurement system is composed of optical fiber, which is used as a transceiver, and a single grating panel which consists of a multi-reflection area with an even non-reflection area. The grating panel is used to vary the reflected light. When the widths of the reflection area and non-reflection area are larger than the optical beam width, the reflected light is varied at the interface between the reflection area and the non-reflection area by the movement of the grating panel. Experiments were conducted in order to verify the feasibility of the proposed technique. Multi-mode fiber combined with a collimator was selected as an emitter and a receiver, and the beam width measurement system was contrived. Subsequently, the proposed method and the system were verified by comparing the experimental results with the results of the conventional charge-coupled device technique.

Key words: Optical fiber, Beam width, Grating panel, Reflection area, Non-reflection area, Charge-coupled device

1. Introduction

Most light beams of laser based sensors, such as a laser displacement sensor, or light beams in laser cutting are assumed to be Gaussian beams. A significant parameter that affects high resolution is the spot size, which is related to the target area. Various lensed-optical fibers (wedge fiber, graded index lensed fiber, photolithographic lensed fiber) have been developed in order to facilitate flexible designs incorporating working distances and spot sizes for efficient optical coupling (Kim et al., 2004). Verifying the performance requires that the beam width is known in order to identify how much light is focalized and integrated.

Optical fiber is widely used as a light guide in fiber-based laser and sensor technology. In these sensors, the optical beam width emitted from the end of the optical fiber is a critical parameter for determining the condition of the

sinusoidal signal (Feng and Kim, 2006; Kim, 2009; Lee et al., 2008, 2009). Therefore, a simple system is required to measure the emitted beam width at the end of an optical fiber.

Currently, knife-edge (Ishii et al., 2003; Wright et al., 1992) and charge-coupled device (CCD) techniques are used to measure beam widths. Knife edge techniques are capable of achieving high resolution depending on the edge shape. In comparison to the knife edge technique, the CCD technique is more economically efficient and convenient for determining the beam width and the beam profile. However, measuring beam width using the measurement systems of these techniques is complicated.

ISO 11146 specifies a standardized and alternative test method for measuring the beam width (International Organization for Standardization, 1999).

The proposed technique is similar to the moving slit and knife-edge methods. Like these methods, the beam width of

Copyright © 2011. The Korean Society for Aeronautical and Space Science This is an Open Access article distributed under the terms of the Creative Com- mons Attribution Non-Commercial License (http://creativecommons.org/licenses/by- nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduc- tion in any medium, provided the original work is properly cited.

** Received 26 April, 2011, Revised 31 May, 2011, Accepted 1 June, 2011

** Professor, Corresponding author

** E-mail: cgkim@kaist.ac.kr Tel:+82-42-350-3752 Fax: +82-42-350-3710

** Another Senior Researcher

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DOI:10.5139/IJASS.2011.12.2.175 176

Int’l J. of Aeronautical & Space Sci. 12(2), 175–178 (2011)

fiber based emitted light can be measured within acceptable accuracy based on a simple system provided by the presented scheme. However, this scheme does not provide the beam profile.

This paper is organized as follows. The section 2 describes a beam width measurement method based on optical fiber.

The section 3 describes how the method was realized and summarizes the proposed method and system and compares it to the CCD technique.

2. Measurement Method

The main mechanism for the measurement of the optical fiber-based beam width using a reflective grating panel and optical fiber, which used as a transceiver, is proposed. Lee et al. (2009) presented the principle of the optical fiber sensor using a single grating panel. When the widths of the reflection area and non-reflection area were smaller than the optical beam width, he used the reflected signal as a sensor signal induced by the movement of the grating (Hecht, 2002; Lee et al., 2009). This principle was the basis of the proposed motif in this study. As shown in Fig. 1, the grating panel, which had a larger reflection area width and non-reflection area width compared to the optical beam width, was perpendicularly located in front of the end face of the optical fiber. The grating pitch d is a constant and is the sum of the width of reflection area (d1) and the width of the non-reflection area (d2). This system was composed of a two-axial translation jig and a continuous motor system with circulator and a photo detector. The grating panel was fixed on the two-axial jig, which can be moved in the direction perpendicular to the beam propagation direction at a constant speed in order to vary the reflected light. It can also be moved in the same direction as the beam propagation to measure the beam width depending on the gap between the laser source and the grating panel.

Figure 2 describes the expected reflected signal. In addition, the optical beam and a schematic diagram of the grating panel are illustrated in order to clarify the relationship between the signal and the location of the optical beam. When the optical beam is fully coupled to the non-reflection area, a constant minimal reflected signal appears, and vice versa.

Consequently, the obtained reflected intensity versa time can be processed to the reflected intensity versa movement of the grating panel, because the constant velocity of the grating panel is known.

3. Experiment

A fiber-based beam width was measured based on the aforementioned experimental set up. In order to verify the proposed technique, the CCD technique was employed.

Through a comparison of the results of the two techniques, the principle proposed in this paper was verified.

3.1 Estimation of the lensed fiber beam width For the experiment, a MMF combined with a collimator (LPC - 05 - 1300 - 62.5/125 - M - 0.45 - 1GR - 35 - 3s - 10 - DPLX;

Oz Optics Co., Ottawa, Canada) was used. A broadband source (BBS1550+2FP00, JDS Uniphase) was used as a light source, and a two-axial jig was utilized. The distance between the end of the optical fiber and the grating panel was kept as minimal as possible. The gap was kept within 0.1 mm in order to prevent scratching of the grating panel. The grating panel was moved using a continuous motor system, as shown in Fig. 3. Reflective light was obtained through a circulator and a photo detector (v2011; New Focus Inc., Irvine, CA, USA).

Finally, each of the 10,000 data points of reflective light was stored in a data acquisition system.

Two grating panels in total were used to measure the jig and a continuous motor system with

circulator and a photo detector. The grating panel was fixed on the two-axial jig, which can be moved in the direction perpendicular to the beam propagation direction at a constant speed in order to vary the reflected light. It can also be moved in the same direction as the beam propagation to measure the beam width depending on the gap between the laser source and the grating panel.

Grating panel Grating

Grating pitch (d)

Width of reflection area (d1)

X Y Diode

Fiber based laser Fused bundle

Photo detector 2*1 Circulator

Fiber

Width of non-reflection area (d2)

Ilj1#41#Vfkhpdwlf#gldjudp#ri#wkh#ilehu0 edvhg#ehdp#zlgwk#phdvxuhphqw#v|vwhp1#

Figure 2 describes the expected reflected signal. In addition, the optical beam and a schematic diagram of the grating panel are illustrated in order to clarify the relationship between the signal and the location of the optical beam. When the optical beam is fully coupled to the non- reflection area, a constant minimal reflected signal appears, and vice versa.

Consequently, the obtained reflected intensity versa time can be processed to the reflected intensity versa movement of the grating panel, because the constant velocity of the grating panel is known.

X(t):moving grating displacement

Reflected intensity

Beam width

Reflection area Non-reflection

area

Optical beam

d=d1+d2

Grating panel

Ilj1#51#H{shfwhg#uhiohfwhg#vljqdo#dw#wkh#

zlgwkv#ri#wkh#uhiohfwlrq#duhd#dqg#wkh#qrq0 uhiohfwlrq#duhd#gldphwhu#ri#wkh#rswlfdo#

ehdp1#

3. Experiment

A fiber-based beam width was measured based on the aforementioned experimental set up. In order to verify the proposed technique, the CCD technique was employed. Through a comparison of the results of the two techniques, the principle proposed in this paper was verified. (Editor’s Note: Nicely written!)

3.1 Estimation of the lensed fiber  beam width 

For the experiment, a MMF combined with a collimator (LPC-05- 1300-62.5/125-M-0.45-1GR-35-3s- 10-DPLX; Oz Optics Co., Ottawa, Canada) was used. A broadband source (BBS1550+2FP00, JDS Uniphase) was used as a light source, and a two-axial jig was utilized. The distance between the end of the optical fiber and the grating panel was kept as minimal as possible.

The gap was kept within 0.1 mm in order to prevent scratching of the grating panel.

The grating panel was moved using a continuous motor system, as shown in Fig.

3. Reflective light was obtained through a circulator and a photo detector (ν2011;

New Focus Inc., Irvine, CA, USA). Finally, each of the 10,000 data points of Fig. 1. Schematic diagram of the fiber-based beam width measure-

ment system.

jig and a continuous motor system with circulator and a photo detector. The grating panel was fixed on the two-axial jig, which can be moved in the direction perpendicular to the beam propagation direction at a constant speed in order to vary the reflected light. It can also be moved in the same direction as the beam propagation to measure the beam width depending on the gap between the laser source and the grating panel.

Grating panel Grating

Grating pitch (d)

Width of reflection area (d1)

X Y Diode

Fiber based laser Fused bundle

Photo detector 2*1 Circulator

Fiber

Width of non-reflection area (d2)

Ilj1#41#Vfkhpdwlf#gldjudp#ri#wkh#ilehu0 edvhg#ehdp#zlgwk#phdvxuhphqw#v|vwhp1#

Figure 2 describes the expected reflected signal. In addition, the optical beam and a schematic diagram of the grating panel are illustrated in order to clarify the relationship between the signal and the location of the optical beam. When the optical beam is fully coupled to the non- reflection area, a constant minimal reflected signal appears, and vice versa.

Consequently, the obtained reflected intensity versa time can be processed to the reflected intensity versa movement of the grating panel, because the constant velocity of the grating panel is known.

X(t):moving grating displacement

Reflected intensity

Beam width

Reflection area Non-reflection

area

Optical beam

d=d1+d2

Grating panel

Ilj1#51#H{shfwhg#uhiohfwhg#vljqdo#dw#wkh#

zlgwkv#ri#wkh#uhiohfwlrq#duhd#dqg#wkh#qrq0 uhiohfwlrq#duhd#gldphwhu#ri#wkh#rswlfdo#

ehdp1#

3. Experiment

A fiber-based beam width was measured based on the aforementioned experimental set up. In order to verify the proposed technique, the CCD technique was employed. Through a comparison of the results of the two techniques, the principle proposed in this paper was verified. (Editor’s Note: Nicely written!)

3.1 Estimation of the lensed fiber  beam width 

For the experiment, a MMF combined with a collimator (LPC-05- 1300-62.5/125-M-0.45-1GR-35-3s- 10-DPLX; Oz Optics Co., Ottawa, Canada) was used. A broadband source (BBS1550+2FP00, JDS Uniphase) was used as a light source, and a two-axial jig was utilized. The distance between the end of the optical fiber and the grating panel was kept as minimal as possible.

The gap was kept within 0.1 mm in order to prevent scratching of the grating panel.

The grating panel was moved using a continuous motor system, as shown in Fig.

3. Reflective light was obtained through a circulator and a photo detector (ν2011;

New Focus Inc., Irvine, CA, USA). Finally, each of the 10,000 data points of Fig. 2. Expected reflected signal at the widths of the reflection area

and the non-reflection area diameter of the optical beam.

(3)

177

Kim.et.al Measurement Method and System of Optical Fiber-Based Beam Width Using a Reflective Grating Panel

http://ijass.org beam width. Figure 4 shows the experimental results with the

grating widths of 146 µm (d: 292 µm) and 360 µm (d: 720 µm), respectively. The plot shows the received voltage of reflected light on the grating panel at one fixed-optical fiber versus the movement of the grating panel. The constant reflected signal was distinct on the transition curve. To estimate the optical beam width, two tangential lines were drawn parallel to the horizontal axis at one point of constant region. The moving displacement between the two intersections is the estimated beam width. As a result, the measured beam widths were 95.5 µm, 95.9 µm, 93.9 µm, and 94.4 µm.

3.2 Comparison to the CCD technique

A beam width test was conducted using the CCD conventional method in order to establish a comparison.

The beam profiles of the horizontal and vertical central axes were obtained and Gaussian curve fitting was then individually implemented, as shown in Fig. 5. The R-square value of each beam profile was determined to be 0.993 and

0.997, respectively.

Therefore, the measured beam profiles could be assumed to have a Gaussian distribution. The measured beam widths, which were measured for both the central row and the column axis, are described in Table 1. The beam width was investigated using three criterions based on the measured beam profile data. Following the full width at half maximum criterion, the beam widths were respectively 56.6 and 58.4 µm for the central row and the column axis. Following the one over the exponential criterion, the beam widths were respectively 67.0 and 68.6 µm for the central row and the column axis. Following the one over square of the exponential criterion, the beam widths were respectively 93.5 and 97.0 µm for the central row and the column axis. The estimated beam width based on the proposed technique was identical to that following the criterion of the one over square of the exponential of the CCD technique, as shown in Table 1. This indicates that the optical beam width following the criterion of the one over square of the exponential can be measured by the proposed technique. In terms of the average beam width, relative errors were 0.4 % and 1.2 %, respectively.

reflective light was stored in a data acquisition system.

Two-axial jig grating MMF

���� �� ������������� �� ��� ������������

������

Two grating panels in total were used to measure the beam width. Figure 4 shows the experimental results with the grating widths of 146 µm (d: 292 µm) and 360 µm (d: 720 µm), respectively.

The plot shows the received voltage of reflected light on the grating panel at one fixed-optical fiber versus the movement of the grating panel. The constant reflected signal was distinct on the transition curve. To estimate the optical beam width, two tangential lines were drawn parallel to the horizontal axis at one point of constant region. The moving displacement between the two intersections is the estimated beam width.

As a result, the measured beam widths were 95.5 µm, 95.9 µm, 93.9 µm, and 94.4 µm.

250 300 350

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Moving displacement of grating panel (μm)

Reflected voltage(V)

146 μm_enlargement of A region

95.5 ㎛ (251.7, 1.4)

(347.2, 0.3)

(a) Transition curve 1 at 146 µm.

550 600 650

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Reflected voltage(V)

Moving displacement of grating panel (μm) 146 μm_enlargement of B region

95.9 ㎛ (535.2, 1.4)

(631.1, 0.3)

(b) Transition curve 2at 146 µm.

150 200 250

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of C region

(243.2, 1.1)

(149.3, 0.3) 93.9 ㎛

(c) Transition curve 1 at 360 µm.

850 900 950

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of D region

(870.8, 0.3) 94.4 ㎛ (965.2, 1.1)

(d) Transition curve 2 at 360 µm.

���� �� ���������� ������� �� ��� µm� ���

µm�

3.2 Comparison to the CCD technique 

A beam width test was conducted using the CCD conventional method in order to establish a comparison. The beam profiles of the horizontal and vertical central axes were obtained and Gaussian curve fitting was then individually implemented, as shown in Fig.

5. The R-square value of each beam profile was determined to be 0.993 and 0.997, respectively.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Horizontal central axis of image [μm]

Measured beam profile Gaussian curve fitting

(a) Beam profile at horizontal central axis.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Vertical central axis of image [μm]

Measured beam profile Gaussian curve fitting

(b) Beam profile at vertical central axis.

���� �� �������� ���� �������� �� ���

���������� ��� �������� ������� �����

Therefore, the measured beam profiles could be assumed to have a Gaussian distribution. The measured beam widths, which were measured for both the central row and the column axis, are described in Table 1. The beam width was investigated using three criterions based on the measured beam profile data.

Following the full width at half maximum criterion, the beam widths were respectively 56.6 and 58.4 µm for the Fig. 3. Configuration of the experimental setup.

reflective light was stored in a data acquisition system.

Two-axial jig grating MMF

���� �� ������������� �� ��� ������������

������

Two grating panels in total were used to measure the beam width. Figure 4 shows the experimental results with the grating widths of 146 µm (d: 292 µm) and 360 µm (d: 720 µm), respectively.

The plot shows the received voltage of reflected light on the grating panel at one fixed-optical fiber versus the movement of the grating panel. The constant reflected signal was distinct on the transition curve. To estimate the optical beam width, two tangential lines were drawn parallel to the horizontal axis at one point of constant region. The moving displacement between the two intersections is the estimated beam width.

As a result, the measured beam widths were 95.5 µm, 95.9 µm, 93.9 µm, and 94.4 µm.

250 300 350

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Moving displacement of grating panel (μm)

Reflected voltage(V)

146 μm_enlargement of A region

95.5 ㎛ (251.7, 1.4)

(347.2, 0.3)

(a) Transition curve 1 at 146 µm.

550 600 650

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Reflected voltage(V)

Moving displacement of grating panel (μm) 146 μm_enlargement of B region

95.9 ㎛ (535.2, 1.4)

(631.1, 0.3)

(b) Transition curve 2at 146 µm.

150 200 250

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of C region

(243.2, 1.1)

(149.3, 0.3) 93.9 ㎛

(c) Transition curve 1 at 360 µm.

850 900 950

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of D region

(870.8, 0.3) 94.4 ㎛ (965.2, 1.1)

(d) Transition curve 2 at 360 µm.

���� �� ���������� ������� �� ��� µm� ���

µm�

3.2 Comparison to the CCD technique 

A beam width test was conducted using the CCD conventional method in order to establish a comparison. The beam profiles of the horizontal and vertical central axes were obtained and Gaussian curve fitting was then individually implemented, as shown in Fig.

5. The R-square value of each beam profile was determined to be 0.993 and 0.997, respectively.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Horizontal central axis of image [μm]

Measured beam profile Gaussian curve fitting

(a) Beam profile at horizontal central axis.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Vertical central axis of image [μm]

Measured beam profile Gaussian curve fitting

(b) Beam profile at vertical central axis.

���� �� �������� ���� �������� �� ���

���������� ��� �������� ������� �����

Therefore, the measured beam profiles could be assumed to have a Gaussian distribution. The measured beam widths, which were measured for both the central row and the column axis, are described in Table 1. The beam width was investigated using three criterions based on the measured beam profile data.

Following the full width at half maximum criterion, the beam widths were respectively 56.6 and 58.4 µm for the (a) Transition curve 1 at 146 µm. (b) Transition curve 2 at 146 µm.

reflective light was stored in a data acquisition system.

Two-axial jig grating MMF

���� �� ������������� �� ��� ������������

������

Two grating panels in total were used to measure the beam width. Figure 4 shows the experimental results with the grating widths of 146 µm (d: 292 µm) and 360 µm (d: 720 µm), respectively.

The plot shows the received voltage of reflected light on the grating panel at one fixed-optical fiber versus the movement of the grating panel. The constant reflected signal was distinct on the transition curve. To estimate the optical beam width, two tangential lines were drawn parallel to the horizontal axis at one point of constant region. The moving displacement between the two intersections is the estimated beam width.

As a result, the measured beam widths were 95.5 µm, 95.9 µm, 93.9 µm, and 94.4 µm.

250 300 350

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Moving displacement of grating panel (μm)

Reflected voltage(V)

146 μm_enlargement of A region

95.5 ㎛ (251.7, 1.4)

(347.2, 0.3)

(a) Transition curve 1 at 146 µm.

550 600 650

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Reflected voltage(V)

Moving displacement of grating panel (μm) 146 μm_enlargement of B region

95.9 ㎛ (535.2, 1.4)

(631.1, 0.3)

(b) Transition curve 2at 146 µm.

150 200 250

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of C region

(243.2, 1.1)

(149.3, 0.3) 93.9 ㎛

(c) Transition curve 1 at 360 µm.

850 900 950

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of D region

(870.8, 0.3) 94.4 ㎛ (965.2, 1.1)

(d) Transition curve 2 at 360 µm.

���� �� ���������� ������� �� ��� µm� ���

µm�

3.2 Comparison to the CCD technique 

A beam width test was conducted using the CCD conventional method in order to establish a comparison. The beam profiles of the horizontal and vertical central axes were obtained and Gaussian curve fitting was then individually implemented, as shown in Fig.

5. The R-square value of each beam profile was determined to be 0.993 and 0.997, respectively.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Horizontal central axis of image [μm]

Measured beam profile Gaussian curve fitting

(a) Beam profile at horizontal central axis.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Vertical central axis of image [μm]

Measured beam profile Gaussian curve fitting

(b) Beam profile at vertical central axis.

���� �� �������� ���� �������� �� ���

���������� ��� �������� ������� �����

Therefore, the measured beam profiles could be assumed to have a Gaussian distribution. The measured beam widths, which were measured for both the central row and the column axis, are described in Table 1. The beam width was investigated using three criterions based on the measured beam profile data.

Following the full width at half maximum criterion, the beam widths were respectively 56.6 and 58.4 µm for the (c) Transition curve 1 at 360 µm. (d) Transition curve 2 at 360 µm.

Fig. 4. Transition regions of 146 µm, 360 µm.

reflective light was stored in a data acquisition system.

Two-axial jig grating MMF

���� �� ������������� �� ��� ������������

������

Two grating panels in total were used to measure the beam width. Figure 4 shows the experimental results with the grating widths of 146 µm (d: 292 µm) and 360 µm (d: 720 µm), respectively.

The plot shows the received voltage of reflected light on the grating panel at one fixed-optical fiber versus the movement of the grating panel. The constant reflected signal was distinct on the transition curve. To estimate the optical beam width, two tangential lines were drawn parallel to the horizontal axis at one point of constant region. The moving displacement between the two intersections is the estimated beam width.

As a result, the measured beam widths were 95.5 µm, 95.9 µm, 93.9 µm, and 94.4 µm.

250 300 350

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Moving displacement of grating panel (μm)

Reflected voltage(V)

146 μm_enlargement of A region

95.5 ㎛ (251.7, 1.4)

(347.2, 0.3)

(a) Transition curve 1 at 146 µm.

550 600 650

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6

Reflected voltage(V)

Moving displacement of grating panel (μm) 146 μm_enlargement of B region

95.9 ㎛ (535.2, 1.4)

(631.1, 0.3)

(b) Transition curve 2at 146 µm.

150 200 250

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of C region

(243.2, 1.1)

(149.3, 0.3) 93.9 ㎛

(c) Transition curve 1 at 360 µm.

850 900 950

0.0 0.6 1.2 1.8

Reflected voltage (V)

Moving displacement of grating panel (μm) 360 μm_enlargement of D region

(870.8, 0.3) 94.4 ㎛ (965.2, 1.1)

(d) Transition curve 2 at 360 µm.

���� �� ���������� ������� �� ��� µm� ���

µm�

3.2 Comparison to the CCD technique 

A beam width test was conducted using the CCD conventional method in order to establish a comparison. The beam profiles of the horizontal and vertical central axes were obtained and Gaussian curve fitting was then individually implemented, as shown in Fig.

5. The R-square value of each beam profile was determined to be 0.993 and 0.997, respectively.

-100 -80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Horizontal central axis of image [μm]

Measured beam profile Gaussian curve fitting

(a) Beam profile at horizontal central axis.

-100-80 -60 -40 -20 0 20 40 60 80 100

0 100 200 300 400 500 600 700

Light intensity [A.U.]

Vertical central axis of image [μm]

Measured beam profile Gaussian curve fitting

(b) Beam profile at vertical central axis.

���� �� �������� ���� �������� �� ���

���������� ��� �������� ������� �����

Therefore, the measured beam profiles could be assumed to have a Gaussian distribution. The measured beam widths, which were measured for both the central row and the column axis, are described in Table 1. The beam width was investigated using three criterions based on the measured beam profile data.

Following the full width at half maximum criterion, the beam widths were respectively 56.6 and 58.4 µm for the (a) Beam profile at horizontal (b) Beam profile at vertical central axis. central axis.

Fig. 5. Measured beam profiles of the horizontal and vertical central axes.

Table 1. Comparison of the measured beam widths obtained from two techniques

Present technique CCD technique Grating

panel 1 (146 µm)

Grating panel 2 (360 µm)

1/e 1/e2

X-axis Y-axis X-axis Y-axis

Beam width (µm)

95.5 (A region)

93.9 (C region)

67.0 68.6 93.5 97.0 95.9

(B region) 94.4 (D region) Average

of beam width

(µm)

95.7 94.2 67.8 95.3

CCD: charge-coupled device.

(4)

DOI:10.5139/IJASS.2011.12.2.175 178

Int’l J. of Aeronautical & Space Sci. 12(2), 175–178 (2011)

4. Conclusions

A fiber based beam width measurement method based on a simple and effective system was presented. The measurement head was composed of an optical grating panel and optical fiber, which acted as an emitter and a receiver, respectively. Finally, the results obtained from experiments conducted using the proposed method compared to results obtained using the CCD technique. The proposed method and system were verified for measuring the fiber-based beam width. Although the information of the beam profile could not be investigated, this method was able to acquire several data through one experiment because the grating panel had several periodic gratings.

Acknowledgements

Funds for this research were provided by the Korea Science and Engineering Foundation (KOSEF, M20703000018- 08N0300-01810).

References

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