modeling of bessel beam generation from axicon with round tip · bessel beam at a fixed z-position...

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Modeling of Bessel Beam Generation from Axicon with Round Tip

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Page 1: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Modeling of Bessel Beam Generation from Axicon

with Round Tip

Page 2: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

2

Abstract

Bessel beams, due to their non-diffracting

property, are drawing attentions for

different applications. They are typically

generated from axicons. An ideal axicon

with infinite tip does not exist, and, in

practice, an axicon comes with a rounded

tip. In this example, we investigate the

effect of the round tip on the generated

Bessel beams, following the research

work in [O. Brzobohatý, et al., Opt. Express

16, 12688-12700 (2008)]. Particularly, we

simulate beam evolution along z and

compare the results.

Page 3: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Modeling Task

input field- fundamental Gaussian

- wavelength 1064 nm

- waist radius 2140 µm

round-tip axicon- refractive index n = 1.50669

- apex angle 𝜏 = 170°

- round-tip parameter a = 10, 30, 60 µm

- modeled as a transmission function

𝜏 ?

How does the generated Bessel

beam evolve along z, especially with

respect to different round tips?

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parameters and model following

O. Brzobohatý, et al.,

Opt. Express 16, 12688-12700

Page 4: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam at a Fixed Z-Position

20 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 10, 30, 60 µm

𝜏

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Page 5: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam Evolution Along Z (a = 10 µm)

?

100 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 10 µm

5

𝜏

Page 6: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam Evolution Along Z (a = 10 µm)

?

100 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 10 µm

6

𝜏

Page 7: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam Evolution Along Z (a = 30 µm)

?

100 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 30 µm

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𝜏

Page 8: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam Evolution Along Z (a = 30 µm)

?

100 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 30 µm

8

𝜏

Page 9: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam Evolution Along Z (a = 60 µm)

?

100 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 60 µm

9

𝜏

Page 10: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Bessel Beam Evolution Along Z (a = 60 µm)

?

100 mm

round-tip axicon- n = 1.50669

- apex angle 𝜏 = 170°

- a = 60 µm

10

𝜏

Page 11: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

On-Axis Distribution and Comparison

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Fig. 2 from O. Brzobohatý, et al.,

Opt. Express 16, 12688-12700 (2008)

simulation result in VirtualLab Fusion

Page 12: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Peek into VirtualLab Fusion

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customizable and flexible transmission definition

parameter

sweep

field visualization and analysis

Page 13: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Workflow in VirtualLab Fusion

• Set up input Gaussian field

− Basic Source Models [Tutorial Video]

• Set the position and orientation of components

− How to Work with the Programmable Function &

Example (Cylindrical Lens) [Use Case]

• Sweep the parameters and check the influence

− Usage of the Parameter Run Document [Use Case]

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Page 14: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

VirtualLab Fusion Technologies

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free space prisms,

plates, cubes, ...

lenses & freeforms

transmission functions

gratings

diffractive, Fresnel, meta

lensesHOE, CGH,

DOEmicro lens &

freeform arrays

SLM & adaptive

components

diffractive beam

splitters

diffusers

scatterer

waveguides & fibers

crystals & anisotropic

components

nonlinear components

Field

Solver

1

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2

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Page 15: Modeling of Bessel Beam Generation from Axicon with Round Tip · Bessel Beam at a Fixed Z-Position 20 mm round-tip axicon-n = 1.50669- apex angle 𝜏 = 170°-a = 10, 30, 60 µm𝜏

Document Information

www.LightTrans.com15

title Modeling of Bessel Beam Generation from Axicon with Round Tip

document code MISC.0009

version 1.2

edition VirtualLab Fusion Basic

software version 2020.1 (Build 1.202)

category Application Use Case

further reading

- Programming an Axicon Transmission Function

- Diffraction Patterns behind Different Apertures

- Focal Spots for Different Aberrations