Modified Beer-Lambert Law for Nd<bold>∶</bold>YAG Laser Transmission in Blood

Xiaoxi Dong; Yaqun Kong; Huijuan Yin; Weinan Dong; Jizhi Zhao; Jichun Yang

doi:10.3788/LOP202259.0617023

Laser & Optoelectronics Progress, Volume. 59, Issue 6, 0617023(2022)

Modified Beer-Lambert Law for Nd∶YAG Laser Transmission in Blood

Xiaoxi Dong¹, Yaqun Kong², Huijuan Yin¹, Weinan Dong¹, Jizhi Zhao³, and Jichun Yang^1、*

¹Institute of Biomedical Engineering, Chinese Academy of Medical Sciences & Peking Union Medical College, Tianjin 300192, China

²Beijing Friendship Hospital, Capital Medical University, Beijing 100050, China

³Peking Union Medical College Hospital, Chinese Academy of Medical Sciences & Peking Union Medical College, Beijing 100730, China

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Figures & Tables(7)

Fig. 1. Transmitted laser energy detecting system of Nd∶YAG. (a) Schematic diagram of system; (b) principle of detection

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Fig. 2. Comparison between theoretical value and real detected value. (a) Relationship between detected depth and target depth; (b) relationship between geometry-dependent factor and detected depth

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Fig. 3. Residual analysis of geometry-dependent factor and detected depth by four fitting methods. (a) Linear regression residual; (b) log regression residual; (c) index regression residual; (d) power regression residual

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Fig. 4. Relationship between laser decay and depth in blood

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Table 1. Optical properties of blood
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Table 1. Optical properties of blood
Blood sort Proportion in venous blood /%^［22］ $μ_{a}$ /cm^{-1［19，22‐23］} $μ_{s}^{'}$ /cm^{-1［21，24‐25］}
Oxygenated blood 58.78 3.02 3.41
Deoxygenated blood 41.22 0.28 6.61
Venous blood ‒ 1.89 4.73

Table 2. Selected scales of transferpettor, theoretical thickness and transmitted laser intensity

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Table 2. Selected scales of transferpettor, theoretical thickness and transmitted laser intensity

Target thickness /mm	Scale of transferpettor /μL	Theoretical thickness /mm	Detected thickness /mm	Transmitted laser intensity /V	$R_{r e a l}$ /%
0	0	0	0	1.40±0.02	—
1.00	195	0.99	0.95±0.02	0.97±0.09	30.86
1.25	245	1.24	1.15±0.02	0.87±0.04	38.35
1.50	295	1.49	1.37±0.03	0.58±0.03	58.73
1.75	345	1.75	1.65±0.05	0.43±0.02	69.21
2.00	395	2.00	1.87±0.08	0.32±0.06	77.41

Table 3. Parameters and regression decision coefficient for the fitting of geometry-dependent factor
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Table 3. Parameters and regression decision coefficient for the fitting of geometry-dependent factor
Name Formula a b R²
Linear fitting $G (d) = a d + b$ 1.0699 -0.7651 0.9295
Log fitting $G (d) = a l n d + b$ 1.6200 0.2534 0.9139
Index fitting $G (d) = a e x p (b d)$ 0.1902 -0.1024 0.8873
Power fitting $G (d) = a d^{b}$ 0.3808 1.8219 0.6289

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Xiaoxi Dong, Yaqun Kong, Huijuan Yin, Weinan Dong, Jizhi Zhao, Jichun Yang. Modified Beer-Lambert Law for Nd∶YAG Laser Transmission in Blood[J]. Laser & Optoelectronics Progress, 2022, 59(6): 0617023

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Paper Information

Category: Medical Optics and Biotechnology

Received: Nov. 12, 2021

Accepted: Jan. 7, 2022

Published Online: Mar. 8, 2022

The Author Email: Jichun Yang (yjc@tju.edu.cn)

DOI:10.3788/LOP202259.0617023

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Optical properties of blood

Table 1. Optical properties of blood

Table 2. Selected scales of transferpettor, theoretical thickness and transmitted laser intensity

Table 2. Selected scales of transferpettor, theoretical thickness and transmitted laser intensity

Table 3. Parameters and regression decision coefficient for the fitting of geometry-dependent factor

Table 3. Parameters and regression decision coefficient for the fitting of geometry-dependent factor