Generalized wave-packet formulation with ray-wave connections for geometric modes in degenerate astigmatic laser resonators

Yung-Fu  Chen; J. C. Tung; M. X. Hsieh; Y. H. Hsieh; H. C. Liang; Kai-Feng  Huang

doi:10.1364/OL.44.005366

Generalized wave-packet formulation with ray-wave connections for geometric modes in degenerate astigmatic laser resonators

Yung-Fu Chen^*, J. C. Tung, M. X. Hsieh, Y. H. Hsieh, H. C. Liang, Kai-Feng Huang

^*Corresponding author for this work

Department of Electrophysics

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

20 Scopus citations

Abstract

The parametric equations for periodic rays in degenerate astigmatic laser resonators are derived in a generalized way. The derived parametric equations clearly reveal the formation of Lissajous geometric modes with phase variation along the propagation. Using the representation of a quantum coherent state, a generalized wave-packet formula is derived to connect with the periodic rays of geometric modes. The derived wave-packet formula is not only validated through comparing with various experimental patterns, but also is directly exploited to manifest the spatial asymmetries of Lissajous lasing modes due to a highly transmissive output coupler. (C) 2019 Optical Society of America

Original language	English
Pages (from-to)	5366-5369
Number of pages	4
Journal	Optics Letters
Volume	44
Issue number	21
DOIs	https://doi.org/10.1364/OL.44.005366
State	Published - 1 Nov 2019

Keywords

ELLIPTIC VORTEX BEAMS
REPRESENTATION

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10.1364/OL.44.005366

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title = "Generalized wave-packet formulation with ray-wave connections for geometric modes in degenerate astigmatic laser resonators",

abstract = "The parametric equations for periodic rays in degenerate astigmatic laser resonators are derived in a generalized way. The derived parametric equations clearly reveal the formation of Lissajous geometric modes with phase variation along the propagation. Using the representation of a quantum coherent state, a generalized wave-packet formula is derived to connect with the periodic rays of geometric modes. The derived wave-packet formula is not only validated through comparing with various experimental patterns, but also is directly exploited to manifest the spatial asymmetries of Lissajous lasing modes due to a highly transmissive output coupler. (C) 2019 Optical Society of America",

keywords = "ELLIPTIC VORTEX BEAMS, REPRESENTATION",

author = "Yung-Fu Chen and Tung, {J. C.} and Hsieh, {M. X.} and Hsieh, {Y. H.} and Liang, {H. C.} and Kai-Feng Huang",

year = "2019",

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doi = "10.1364/OL.44.005366",

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T1 - Generalized wave-packet formulation with ray-wave connections for geometric modes in degenerate astigmatic laser resonators

AU - Chen, Yung-Fu

AU - Tung, J. C.

AU - Hsieh, M. X.

AU - Hsieh, Y. H.

AU - Liang, H. C.

AU - Huang, Kai-Feng

PY - 2019/11/1

Y1 - 2019/11/1

N2 - The parametric equations for periodic rays in degenerate astigmatic laser resonators are derived in a generalized way. The derived parametric equations clearly reveal the formation of Lissajous geometric modes with phase variation along the propagation. Using the representation of a quantum coherent state, a generalized wave-packet formula is derived to connect with the periodic rays of geometric modes. The derived wave-packet formula is not only validated through comparing with various experimental patterns, but also is directly exploited to manifest the spatial asymmetries of Lissajous lasing modes due to a highly transmissive output coupler. (C) 2019 Optical Society of America

AB - The parametric equations for periodic rays in degenerate astigmatic laser resonators are derived in a generalized way. The derived parametric equations clearly reveal the formation of Lissajous geometric modes with phase variation along the propagation. Using the representation of a quantum coherent state, a generalized wave-packet formula is derived to connect with the periodic rays of geometric modes. The derived wave-packet formula is not only validated through comparing with various experimental patterns, but also is directly exploited to manifest the spatial asymmetries of Lissajous lasing modes due to a highly transmissive output coupler. (C) 2019 Optical Society of America

KW - ELLIPTIC VORTEX BEAMS

KW - REPRESENTATION

U2 - 10.1364/OL.44.005366

DO - 10.1364/OL.44.005366

M3 - Article

C2 - 31675008

SN - 0146-9592

VL - 44

SP - 5366

EP - 5369

JO - Optics Letters

JF - Optics Letters

IS - 21

ER -

Generalized wave-packet formulation with ray-wave connections for geometric modes in degenerate astigmatic laser resonators

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Keywords

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