Propagation Characteristics of Lommel-Gaussian Beams in a Gradient-Index Medium

Yanli Su; Yuanbo Wang; Lincong Ji; Cun Zhang; Qichang Jiang

doi:10.3788/LOP230582

Journals >Laser & Optoelectronics Progress >Volume 61 >Issue 9 >Page 0926001 > Article

Laser & Optoelectronics Progress
Vol. 61, Issue 9, 0926001 (2024)

Propagation Characteristics of Lommel-Gaussian Beams in a Gradient-Index Medium

Yanli Su¹, Yuanbo Wang¹, Lincong Ji¹, Cun Zhang¹, and Qichang Jiang^1、2、*

Author Affiliations

¹Department of Physics and Electronic Engineering, Yuncheng University, Yuncheng 044000, Shanxi, China

²Laboratory of Optoelectronic Information Science and Technology of Shanxi Province, Yuncheng 044000, Shanxi, China

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DOI: 10.3788/LOP230582 Cite this Article Set citation alerts

Yanli Su, Yuanbo Wang, Lincong Ji, Cun Zhang, Qichang Jiang. Propagation Characteristics of Lommel-Gaussian Beams in a Gradient-Index Medium[J]. Laser & Optoelectronics Progress, 2024, 61(9): 0926001 Copy Citation Text

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Three-dimensional intensity envelopes of Lommel-Gaussian beams and corresponding two-dimensional projection drawing. (a) (b) ω0=10 μm; (c) (d) ω0=20 μm; (e) (f) ω0=30 μm

Fig. 1. Three-dimensional intensity envelopes of Lommel-Gaussian beams and corresponding two-dimensional projection drawing. (a) (b)

ω_{0} = 10 μ m

; (c) (d)

ω_{0} = 20 μ m

; (e) (f)

ω_{0} = 30 μ m

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Two-dimensional projection drawing of Lommel-Gaussian beams with different half-cone angles. (a) β=5o; (b) β=10o; (c) β=15o

Fig. 2. Two-dimensional projection drawing of Lommel-Gaussian beams with different half-cone angles. (a)

β = 5^{o}

; (b)

β = 10^{o}

; (c)

β = 15^{o}

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Fig. 3. Two-dimensional projection drawing of Lommel-Gaussian beams with different topological charges. (a)

m = 1

; (b)

m = 3

; (c)

m = 4

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Fig. 4. Two-dimensional projection drawing of Lommel-Gaussian beams with different asymmetric parameters. (a)

c = 0.3

; (b)

c = 0.6

; (c)

c = 0.9

; (d)

c = 0.9 e x p (i π / 4)

; (e)

c = 0.9 e x p (i π / 3)

; (f)

c = 0.9 e x p (i π / 2)

;(g)

c = 0.9 e x p (i 2 π / 3)

;(h)

c = 0.9 e x p (i 3 π / 4)

; (i)

c = 0.9 e x p (i 5 π / 6)

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Fig. 5. Schematic representation of beam propagation

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Fig. 6. Tansverse intensity distribution of the Lommel-Gaussian beams at different propagations (

m = 2

β = 5^{o}

ω_{0} = 20 μ m

). (a1)‒(a6) c=0.6; (b1)‒(b6) c=0.9 exp(iπ/4)

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Fig. 7. Propagation characteristics of the Lommel-Gaussian beams in free space [

m = 2

β = 5^{o}

ω_{0} = 20 μ m

c = 0.9 e x p (i π / 2)

]. (a)‒(c) Two-dimentional projection drawing; (d)‒(f) corresponding phase distribution map

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Fig. 8. Propagation characteristics of the Lommel-Gaussian beams in free space (

m = 2

β = 5^{o}

ω_{0} = 20 μ m

c = 0.6

). (a)‒(c) Two-dimentional projection drawing; (d)‒(f) corresponding phase distribution map

Yanli Su, Yuanbo Wang, Lincong Ji, Cun Zhang, Qichang Jiang. Propagation Characteristics of Lommel-Gaussian Beams in a Gradient-Index Medium[J]. Laser & Optoelectronics Progress, 2024, 61(9): 0926001

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