Electromagnetic Field of Surface Waves Propagation in Fiber-Reinforced Generalized Thermoelastic Medium Kh. Lotfy * ,§,¶ , Al. M. Salem †,§ and A. Al-Sayed ‡,§ * Department of Mathematics Faculty of Science, Zagazig University Zagazig 44519, Egypt † Department of Mathematics Faculty of Computer and Information Suez Canal University, Ismaillia, Egypt ‡ Department of Physics Faculty of Science, Zagazig University Zagazig 44519, Egypt § Department of Mathematics Faculty of Science and Arts Al-Mithnab, Qassim University 931, Buridah 51931 Al-Mithnab, Saudi Arabia ¶ khlotfy _ 1@yahoo.com Received 15 January 2016 Accepted 8 March 2016 Published 3 May 2016 The objective of this paper is to investigate the surface waves in ¯ber-reinforced anisotropic elastic medium subjected to magnetic and thermal ¯elds. We introduce the coupled theory (CD), Lord– Shulman (LS) theory and Green–Lindsay (GL) theory to study the in°uence of magnetic ¯eld on 2D problem of a ¯ber-reinforced thermoelastic. The analytical expressions for displacement components and force stress are obtained in the physical domain by using the harmonic vibrations. The wave velocity equations have been obtained in di®erent cases. Numerical results for the temperature, displacement, and thermal stress components are given and illustrated graphically in the presence and absence of the magnetic ¯eld of the material medium. A comparison is also made between the three theories in the case of presence and absence of ¯ber-reinforced parameters. Keywords : Lord–Shulman; Green–Lindsay; ¯ber-reinforced; surface waves; thermoelastic; mag- netic ¯eld. 1. Introduction In the postwar years, we have seen a rapid devel- opment of themoelasticity stimulated by various engineering sciences. Most of the investigations were done under the assumption of the temperature-in- dependent material properties, which limited the ¶ Corresponding author. Journal of Molecular and Engineering Materials Vol. 3, Nos. 3 & 4 (2015) 1550001 (18 pages) © World Scienti¯c Publishing Company DOI: 10.1142/S225123731550001X 1550001-1