A new non-diffractive wave packet: The Scorer beam

Wen Ye Zhong; Wei Ping Zhong; Pei Qin; Milivoj Belić; Zhengping Yang

doi:10.1016/j.physleta.2024.130023

A new non-diffractive wave packet: The Scorer beam

Wen Ye Zhong, Wei Ping Zhong^*, Pei Qin, Milivoj Belić, Zhengping Yang

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We find the exact solution of the (1 + 1)-dimensional optical paraxial diffractive system by implementing the self-similarity method, leading to the discovery of a beam solution composed of Scorer functions, which we refer to as the Scorer beam. Through theoretical analysis and numerical simulation, we explore several characteristics of both infinite- and finite-energy Scorer beams, particularly focusing on their non-diffractive and self-accelerating properties. Additionally, we compare the Scorer beam with – and distinguish from – the related Airy beam. This investigation provides both theoretical and numerical insights that may guide the experimental realization of Scorer beams.

Original language	English
Article number	130023
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	528
DOIs	https://doi.org/10.1016/j.physleta.2024.130023
Publication status	Published - 28 Dec 2024
Externally published	Yes

Keywords

Non-diffractive scorer beam
The (1+1)-dimensional paraxial diffractive system
The self-similarity method

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10.1016/j.physleta.2024.130023

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title = "A new non-diffractive wave packet: The Scorer beam",

abstract = "We find the exact solution of the (1 + 1)-dimensional optical paraxial diffractive system by implementing the self-similarity method, leading to the discovery of a beam solution composed of Scorer functions, which we refer to as the Scorer beam. Through theoretical analysis and numerical simulation, we explore several characteristics of both infinite- and finite-energy Scorer beams, particularly focusing on their non-diffractive and self-accelerating properties. Additionally, we compare the Scorer beam with – and distinguish from – the related Airy beam. This investigation provides both theoretical and numerical insights that may guide the experimental realization of Scorer beams.",

keywords = "Non-diffractive scorer beam, The (1+1)-dimensional paraxial diffractive system, The self-similarity method",

author = "Zhong, \{Wen Ye\} and Zhong, \{Wei Ping\} and Pei Qin and Milivoj Beli{\'c} and Zhengping Yang",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",

year = "2024",

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day = "28",

doi = "10.1016/j.physleta.2024.130023",

language = "English",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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TY - JOUR

T1 - A new non-diffractive wave packet

T2 - The Scorer beam

AU - Zhong, Wen Ye

AU - Zhong, Wei Ping

AU - Qin, Pei

AU - Belić, Milivoj

AU - Yang, Zhengping

PY - 2024/12/28

Y1 - 2024/12/28

N2 - We find the exact solution of the (1 + 1)-dimensional optical paraxial diffractive system by implementing the self-similarity method, leading to the discovery of a beam solution composed of Scorer functions, which we refer to as the Scorer beam. Through theoretical analysis and numerical simulation, we explore several characteristics of both infinite- and finite-energy Scorer beams, particularly focusing on their non-diffractive and self-accelerating properties. Additionally, we compare the Scorer beam with – and distinguish from – the related Airy beam. This investigation provides both theoretical and numerical insights that may guide the experimental realization of Scorer beams.

AB - We find the exact solution of the (1 + 1)-dimensional optical paraxial diffractive system by implementing the self-similarity method, leading to the discovery of a beam solution composed of Scorer functions, which we refer to as the Scorer beam. Through theoretical analysis and numerical simulation, we explore several characteristics of both infinite- and finite-energy Scorer beams, particularly focusing on their non-diffractive and self-accelerating properties. Additionally, we compare the Scorer beam with – and distinguish from – the related Airy beam. This investigation provides both theoretical and numerical insights that may guide the experimental realization of Scorer beams.

KW - Non-diffractive scorer beam

KW - The (1+1)-dimensional paraxial diffractive system

KW - The self-similarity method

UR - https://www.scopus.com/pages/publications/85209689389

U2 - 10.1016/j.physleta.2024.130023

DO - 10.1016/j.physleta.2024.130023

M3 - Article

AN - SCOPUS:85209689389

SN - 0375-9601

VL - 528

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 130023

ER -

A new non-diffractive wave packet: The Scorer beam

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Keywords

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