Exploring the Origin of Lissajous Geometric Modes from the Ray Tracing Model

Xin Liang Zheng; Yu Han Fang; Wei Che Chung; Cheng Li Hsieh; Yung Fu Chen

doi:10.3390/photonics11050456

Exploring the Origin of Lissajous Geometric Modes from the Ray Tracing Model

Xin Liang Zheng, Yu Han Fang, Wei Che Chung, Cheng Li Hsieh, Yung Fu Chen^*

^*Corresponding author for this work

Department of Electrophysics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we use the geometric optics and discuss the path of laser beam in a simple laser (concave-plano) cavity with the birefringence crystal. In specific lengths of the laser cavity, we can observe various types of Lissajous-like structural laser modes that can be simulated using our ray tracing model. At the end of this paper, we provide an adjusted ABCD matrix. With the adjusted ABCD matrix and iterative calculation, we can obtain the 3D trajectories which are similar to the experimental results. These structural laser modes can be realized by a (Formula presented.) solid-state laser with off-axis pumping. From the comparison between the experimental data and the numerical data, we clarify the relationship between the 3D Lissajous-like structural laser modes and ray trajectory in the laser cavity.

Original language	English
Article number	456
Journal	Photonics
Volume	11
Issue number	5
DOIs	https://doi.org/10.3390/photonics11050456
State	Published - May 2024

Keywords

ABCD matrix
birefringence crystal
distortion
geometric mode
high-order transverse mode
structural light

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10.3390/photonics11050456

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title = "Exploring the Origin of Lissajous Geometric Modes from the Ray Tracing Model",

abstract = "In this paper, we use the geometric optics and discuss the path of laser beam in a simple laser (concave-plano) cavity with the birefringence crystal. In specific lengths of the laser cavity, we can observe various types of Lissajous-like structural laser modes that can be simulated using our ray tracing model. At the end of this paper, we provide an adjusted ABCD matrix. With the adjusted ABCD matrix and iterative calculation, we can obtain the 3D trajectories which are similar to the experimental results. These structural laser modes can be realized by a (Formula presented.) solid-state laser with off-axis pumping. From the comparison between the experimental data and the numerical data, we clarify the relationship between the 3D Lissajous-like structural laser modes and ray trajectory in the laser cavity.",

keywords = "ABCD matrix, birefringence crystal, distortion, geometric mode, high-order transverse mode, structural light",

author = "Zheng, {Xin Liang} and Fang, {Yu Han} and Chung, {Wei Che} and Hsieh, {Cheng Li} and Chen, {Yung Fu}",

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journal = "Photonics",

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T1 - Exploring the Origin of Lissajous Geometric Modes from the Ray Tracing Model

AU - Zheng, Xin Liang

AU - Fang, Yu Han

AU - Chung, Wei Che

AU - Hsieh, Cheng Li

AU - Chen, Yung Fu

PY - 2024/5

Y1 - 2024/5

N2 - In this paper, we use the geometric optics and discuss the path of laser beam in a simple laser (concave-plano) cavity with the birefringence crystal. In specific lengths of the laser cavity, we can observe various types of Lissajous-like structural laser modes that can be simulated using our ray tracing model. At the end of this paper, we provide an adjusted ABCD matrix. With the adjusted ABCD matrix and iterative calculation, we can obtain the 3D trajectories which are similar to the experimental results. These structural laser modes can be realized by a (Formula presented.) solid-state laser with off-axis pumping. From the comparison between the experimental data and the numerical data, we clarify the relationship between the 3D Lissajous-like structural laser modes and ray trajectory in the laser cavity.

AB - In this paper, we use the geometric optics and discuss the path of laser beam in a simple laser (concave-plano) cavity with the birefringence crystal. In specific lengths of the laser cavity, we can observe various types of Lissajous-like structural laser modes that can be simulated using our ray tracing model. At the end of this paper, we provide an adjusted ABCD matrix. With the adjusted ABCD matrix and iterative calculation, we can obtain the 3D trajectories which are similar to the experimental results. These structural laser modes can be realized by a (Formula presented.) solid-state laser with off-axis pumping. From the comparison between the experimental data and the numerical data, we clarify the relationship between the 3D Lissajous-like structural laser modes and ray trajectory in the laser cavity.

KW - ABCD matrix

KW - birefringence crystal

KW - distortion

KW - geometric mode

KW - high-order transverse mode

KW - structural light

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DO - 10.3390/photonics11050456

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VL - 11

JO - Photonics

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ER -

Exploring the Origin of Lissajous Geometric Modes from the Ray Tracing Model

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Keywords

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