Spatial representation of Lissajous trajectories by an optical method

Guessoum, Amir; Bouderbala, Ibrahim Yaacoub

doi:10.1007/s00339-024-07615-3

Appl. Phys. A

2024

DOI: 10.1007/s00339-024-07615-3

|View full text |Cite

Spatial representation of Lissajous trajectories by an optical method

Amir Guessoum,

Ibrahim Yaacoub Bouderbala

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Mathematical and Numerical Explanation of the Nonlinear Acoustic Wave Interaction in Acousto-Optical Cells

Ourahmoun,

Guessoum

2024

Eng. Technol. Appl. Sci. Res.

View full text Add to dashboard Cite

In addition to a recently acousto-optical deflector that has been the subject of both theoretical and experimental analysis, this work presents the successful processing of two acousto-optical deflectors that have been orthogonally positioned using two frequency-modulated ultrasonic waves. A comprehensive theoretical analysis is conducted, based on the Collins integral and the ABCD matrix formalism, to explain how the positions of the diffracted orders oscillate in two dimensions as a function of time. The numerical simulation of the derived formula demonstrates the potential for steering a laser beam along Lissajous trajectories. The trajectories in question are observed to exhibit a variety of shapes and velocities. They are sometimes linear with sinusoidal velocities, sometimes circular with constant velocities, and often elliptical with variable velocities. The noteworthy aspect is that all these diffracted orders traverse the spatial domain with an identical sweep frequency, despite the heterogeneity of their trajectories and velocities. Furthermore, these trajectories can be shaped by controlling the phase shift value. This technique can be employed in metrology for rotation measurements based on the Doppler effect. Additionally, it can be used to develop a spatial display that enables tracing Lissajous trajectories, rather than relying on an oscilloscope.

show abstract

Mathematical and Numerical Explanation of the Nonlinear Acoustic Wave Interaction in Acousto-Optical Cells

Ourahmoun,

Guessoum

2024

Eng. Technol. Appl. Sci. Res.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Spatial representation of Lissajous trajectories by an optical method

Cited by 1 publication

References 29 publications

Mathematical and Numerical Explanation of the Nonlinear Acoustic Wave Interaction in Acousto-Optical Cells

Mathematical and Numerical Explanation of the Nonlinear Acoustic Wave Interaction in Acousto-Optical Cells

Contact Info

Product

Resources

About