Study on Propagation Characteristics of Gaussian Beam Incident at Brewster Angle

Qiaojue Ye; Xianju Wang; Zhanhai Dai

doi:10.3788/LOP202158.0720001

Journals >Laser & Optoelectronics Progress >Volume 58 >Issue 7 >Page 0720001 > Article

Laser & Optoelectronics Progress
Vol. 58, Issue 7, 0720001 (2021)

Study on Propagation Characteristics of Gaussian Beam Incident at Brewster Angle

Qiaojue Ye, Xianju Wang^*, and Zhanhai Dai

Author Affiliations

College of Electronics Engineering, College of Artificial Intelligence, South China Agricultural University, Guangzhou , Guangdong 510642, China

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DOI: 10.3788/LOP202158.0720001 Cite this Article Set citation alerts

Qiaojue Ye, Xianju Wang, Zhanhai Dai. Study on Propagation Characteristics of Gaussian Beam Incident at Brewster Angle[J]. Laser & Optoelectronics Progress, 2021, 58(7): 0720001 Copy Citation Text

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Fig. 1. Intensity distribution curve of incident Gaussian beam with p polarization

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Fig. 2. Model of incident geometry

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Fig. 3. Schematic of electric field modulus distribution of reflected and transmitted light in different polarization conditions. (a) s polarization; (b) p polarization

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Fig. 4. Electric field modulus in different polarizations. (a) s polarization; (b) p polarization

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Fig. 5. Partial enlargement of Fig. 4(b)

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$Schematic of electric field modulus distribution of s polarization reflected light and transmitted light under different refractive indices. (a) 1.70；(b) 1.50；(c) 1.33；(d) 1.20$

Fig. 6. Schematic of electric field modulus distribution of s polarization reflected light and transmitted light under different refractive indices. (a) 1.70；(b) 1.50；(c) 1.33；(d) 1.20

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$Schematic of electric field modulus distribution of p polarization reflected light and transmitted light under different refractive indices. (a) 1.70；(b) 1.50；(c) 1.33；(d) 1.20$

Fig. 7. Schematic of electric field modulus distribution of p polarization reflected light and transmitted light under different refractive indices. (a) 1.70；(b) 1.50；(c) 1.33；(d) 1.20

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Description	Symbol	Expression	Value
Wavelength	λ/μm	1	1×10^-6
Frequency	f₀/s^-1	c/λ	2.9979×10¹⁴
Spot radius	w₀/m	10λ	1×10^-5
Rayleigh range	z₀/m	w₀²π/λ	3.1416×10^-4
Refractive index of glass	n₂	1.5	1.5
Angle of incidence	α/rad	atan(n₂)	0.98279
Propagation width	a/m	6w₀	6×10^-5
Propagation length	b/m	an₂	9×10^-5
Refracted angle	α₂/rad	asin(sin α/n₂)	0.588
Wave number in air	k₀/m^-1	2π/λ	6.2832×10⁶
First wave, y component(air)	k₁_y_{_air}/m^-1	0	0
Second wave, x component(air)	k₂_x_{_air}/m^-1	-k₀cos(2α)	2.4166×10⁶
Second wave, y component(air)	k₂_y_{_air}/m^-1	-k₀sin(2α)	-5.7999×10⁶
First wave, x component(glass)	k₁_x_{_glass}/m^-1	k₀n₂cos(α-α₂)	8.6998×10⁶
First wave, y component(glass)	k₁_y_{_glass}/m^-1	k₀n₂sin(α-α₂)	3.6249×10⁶
Second wave, x component(glass)	k₂_x_{_glass}/m^-1	-k₀n₂cos(α+α₂)	-5.771×10^-10
Second wave, y component(glass)	k₂_y_{_glass}/m^-1	-k₀n₂sin(α+α₂)	-9.4248×10⁶

Table 1. Model parameter setting

Qiaojue Ye, Xianju Wang, Zhanhai Dai. Study on Propagation Characteristics of Gaussian Beam Incident at Brewster Angle[J]. Laser & Optoelectronics Progress, 2021, 58(7): 0720001

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