TY - JOUR T1 - Transfer Matrix Formalism for Two-Dimensional (2D) Superconducting Material AU - Taşdemir, Şevval PY - 2024 DA - December Y2 - 2024 DO - 10.26650/PAR.2024.00010 JF - Physics and Astronomy Reports PB - Istanbul University WT - DergiPark SN - 2980-3012 SP - 94 EP - 99 VL - 2 IS - 2 LA - en AB - This study introduces a fundamental transfer matrix formalism for superconductors. The transfer matrix is constructed by solving Maxwell’s equations under the TM (Transfer Magnetic) mode configuration and including boundary conditions at the interface of the superconductors. This matrix enables an investigation of the scattering properties of electromagnetic wave interacting with superconducting surfaces. Then, reflection coefficient (𝑅) and transmission coefficient (𝑇) are derived from elements of the transfer matrix. This formalism provides a basis for understanding the interaction of electromagnetic waves with the surface of superconductors for advanced studies such as coherent perfect absorption (CPA), spectral singularities, and PT symmetry. The results highlight the influence of the London penetration depth on the reflection coefficient (𝑅), the transmission coefficient (𝑇) and transfer matrix. Additionally, surface currents resulting from TM mode configuration and Meissner effect, are also expressed in terms of the London penetration depth. In this context, we establish a foundation for studying the potential applications of superconductors. KW - Transfer matrix KW - Superconductors KW - London penetration depth KW - TM mode configuration CR - London F., 1964, Superfluids. No. 2. c. in Structure of Matter Series, Dover Publications, https://books.google.com.tr/books? id=fK4PAQAAMAAJ google scholar CR - Mostafazadeh A., 2009, Phys. Rev. A, 80, 032711 google scholar CR - Mostafazadeh A., Sarısaman M., 2015, Phys. Rev. A, 91, 043804 google scholar CR - Oktay G., Sarısaman M., Tas M., 2020, Scientific Reports, 10, 3127 google scholar CR - Saif A. G., 1992, Physica Status Solidi B Basic Research, 171, 199 google scholar CR - SarısamanM.,TaşM.,2018,Journal of the Optical Society of America B Optical Physics, 35, 2423 google scholar CR - SarısamanM.,TaşM.,2019a,JournalofAppliedPhysics,126,163102 google scholar CR - Sarısaman M., Taş M., 2019b, Annals of Physics, 401, 139 google scholar CR - Sarısaman M., Taşdemir S., Rostamzadeh S., 2024, Journal of Physics Condensed Matter, 36, 405603 google scholar CR - Schmidt V. V., 2013, The Physics of Superconductors: Introduction to Fundamentals and Applications. Springer Science & Business Media google scholar CR - Tinkham M., 1974, Reviews of Modern Physics, 46, 587 google scholar CR - Tinkham M., Lobb C., 1989, in , Vol. 42, Solid state physics. Elsevier, pp 91–134 google scholar UR - https://doi.org/10.26650/PAR.2024.00010 L1 - https://dergipark.org.tr/en/download/article-file/4578017 ER -