Caustics and Wavefronts of Butterfly-Shaped Beams

Yiming Cai; Houan Teng; Juntao Hu; Yanping Lan; Zhijun Ren; Yixian Qian

doi:10.3788/AOS202242.1626001

Journals >Acta Optica Sinica >Volume 42 >Issue 16 >Page 1626001 > Article

Acta Optica Sinica
Vol. 42, Issue 16, 1626001 (2022)

Caustics and Wavefronts of Butterfly-Shaped Beams

Yiming Cai¹, Houan Teng¹, Juntao Hu¹, Yanping Lan¹, Zhijun Ren^1、2, and Yixian Qian^1、2、*

Author Affiliations

¹College of Physics and Electronic Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang , China

²Key Laboratory of Researching Optical Information Detecting and Display Technology in Zhejiang Province, Jinhua 321004, Zhejiang , China

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DOI: 10.3788/AOS202242.1626001 Cite this Article Set citation alerts

Yiming Cai, Houan Teng, Juntao Hu, Yanping Lan, Zhijun Ren, Yixian Qian. Caustics and Wavefronts of Butterfly-Shaped Beams[J]. Acta Optica Sinica, 2022, 42(16): 1626001 Copy Citation Text

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Wavefront intensity distributions of 2D butterfly-shaped beams. (a) Bu(0,0,Z,W); (b) Bu(X,0,Z,0)

Fig. 1. Wavefront intensity distributions of 2D butterfly-shaped beams. (a)

B_{u} (0,0, Z, W)

; (b)

B_{u} (X, 0, Z, 0)

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Caustics of 3D butterfly-shaped beams. (a) Bu(-5a15,0,Z,W); (b) Bu(X,0,Z,-5a45)

Fig. 2. Caustics of 3D butterfly-shaped beams. (a)

B_{u} (- 5 < a_{1} < 5,0, Z, W)

; (b)

B_{u} (X, 0, Z, - 5 < a_{4} < 5)

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Fig. 3. Initial light field distributions of butterfly-shaped beams. (a1)-(a3)

B_{u} (X, Y, a_{3}, a_{4})

when

a_{4} = 0

and

a_{3} = - 3

, 0, 3; (b1)-(b3)

B_{u} (X, a_{2}, Z, a_{4})

when

a_{4} = 0

and

a_{2} = - 4

, 0, 4

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Fig. 4. 3D caustic surfaces of butterfly-shaped beams. (a) 3D caustic surface of

B_{u} (X, Y, a_{3}, a_{4})

when

a_{4} = 0

and

- 3 < a_{3} < 3

; (b) 3D caustic surface of

B_{u} (X, a_{2}, Z, a_{4})

when

a_{4} = 0

and

- 4 < a_{2} < 4

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Fig. 5. Experimental setup

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Fig. 6. Light field intensity distributions of

B_{u} (X, Y, a_{3} = 0, a_{4} = 0, ξ)

. (a1)-(c1) Simulated butterfly-shaped light field intensity distributions for planes of

ξ = 0,2, 4

; (a2)-(c2) experimental intensity distributions for planes with

ξ_{b}

of 0 nm, 400 nm, and 800 nm

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Fig. 7. Caustics of

B_{u} (X, Y, a_{3}, a_{4}, ξ)

during propagation

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Fig. 8. Spectrum distributions. (a1)-(c1) Numerical spectrum intensity distributions of

B_{u} (X, Y, a_{3}, a_{4})

B_{u} (X, a_{2}, a_{3}, W)

, and

B_{u} (a_{1}, Y, Z, a_{4})

; (a2)-(c2) numerical spectrum phase distributions corresponding to Figs. 8(a1)-8(c1); (a3)-(c3) experimental results corresponding to Figs. 8(a1)-8(c1)

Yiming Cai, Houan Teng, Juntao Hu, Yanping Lan, Zhijun Ren, Yixian Qian. Caustics and Wavefronts of Butterfly-Shaped Beams[J]. Acta Optica Sinica, 2022, 42(16): 1626001

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