Abstract The main aim of this research article is to calculate the plane wave reflection in magneto fractional thermoelastic solid half-space with rotation, two temperature and diffusion using the Lord–Shulman theory of thermoelasticity. We have considered the x–z plane for the governing equation and solved these to calculate the equation in terms of velocity resulting the existence of four coupled plane waves, known as <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11964_2025_9060_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({{P}_{1}}\)</EquationSource>  </InlineEquation>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11964_2025_9060_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({{P}_{2}}\)</EquationSource>  </InlineEquation>, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11964_2025_9060_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({{P}_{3}}\)</EquationSource>  </InlineEquation>, and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11964_2025_9060_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({{P}_{4}}\)</EquationSource>  </InlineEquation>. It has been found that these waves has an impact of two temperature, diffusion, rotation, and fractional order parameter. Using appropriate boundary conditions, the reflection coefficient are formulated and presented for the particular model. The impact of diffusion, two temperature, fractional order and rotation parameter on the attenuation coefficient, phase velocity, reflection coefficient and specific loss w.r.t. frequency and angle of incidence are shown graphically.

Plane Wave Reflection in Magneto Fractional Thermoelasticity with Diffusion, Rotation and Two Temperature in Solid Half-Space

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发表日期：

2025年2月1日

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S. Kumari,
S. Sharma,
G. Guragain

摘要

Abstract

The main aim of this research article is to calculate the plane wave reflection in magneto fractional thermoelastic solid half-space with rotation, two temperature and diffusion using the Lord–Shulman theory of thermoelasticity. We have considered the x–z plane for the governing equation and solved these to calculate the equation in terms of velocity resulting the existence of four coupled plane waves, known as \({{P}_{1}}\) , \({{P}_{2}}\) , \({{P}_{3}}\) , and \({{P}_{4}}\) . It has been found that these waves has an impact of two temperature, diffusion, rotation, and fractional order parameter. Using appropriate boundary conditions, the reflection coefficient are formulated and presented for the particular model. The impact of diffusion, two temperature, fractional order and rotation parameter on the attenuation coefficient, phase velocity, reflection coefficient and specific loss w.r.t. frequency and angle of incidence are shown graphically.