Impact of the Eigenvalue Approach on the Model of Moore-Gibson-Thompson During Photo-Acoustic Semiconducting Excitation

Impact of the Eigenvalue Approach on the Model of Moore-Gibson-Thompson During Photo-Acoustic Semiconducting Excitation | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Impact of the Eigenvalue Approach on the Model of Moore-Gibson-Thompson During Photo-Acoustic Semiconducting Excitation A. El-Dali, Mohamed I.A. Othman, Esraa M. Gamal, Soliman Alkhatib This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5300313/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 27 May, 2025 Read the published version in Scientific Reports → Version 1 posted 12 You are reading this latest preprint version Abstract Regarding this investigation, Moore-Gibson-Thompson (MGT) model was developed with the impact of acoustic pressure. This research's light is spotted on semiconductor material undergoing thermoacoustic and optical deformation in the context of theory of photo-thermoelasticity (PTE). The governing equations are formulated using a modified photo-excitation model, where (MGT) equation represents the heat conduction during processes of optical transport. This model represents coupling between plasma, thermal, mechanical-elastic, and acoustic wave propagation. Analytical solutions for the main physical quantities are obtainedutilizing Laplace transform method combined with the vector-matrix differential equation method. Boundary conditions for the acoustic, plasma, and thermo-mechanical effects are applied at the outer surface of the medium. Numerical inversion of Laplace transforms is performed to obtain complete space-time solutions for primary fields. Silicon is utilized as a representative semi-conductor material for numerical computations, with the results presented graphically and discussed with various influencing parameters. Physical sciences/Materials science Physical sciences/Mathematics and computing Physical sciences/Optics and photonics Moore-Gibson-Thompson model Photo-acoustic waves Semiconductor Photo-thermal excitation Eigenvalue approach. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 27 May, 2025 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 29 Nov, 2024 Reviewers agreed at journal 24 Nov, 2024 Reviews received at journal 23 Nov, 2024 Reviews received at journal 21 Nov, 2024 Reviewers agreed at journal 12 Nov, 2024 Reviewers agreed at journal 12 Nov, 2024 Reviewers agreed at journal 06 Nov, 2024 Reviewers invited by journal 05 Nov, 2024 Editor assigned by journal 31 Oct, 2024 Editor invited by journal 30 Oct, 2024 Submission checks completed at journal 28 Oct, 2024 First submitted to journal 20 Oct, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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