Quantum Mechanical Detection of Defects in Dielectric and Meta-Materials Using the Schrodinger Equation
Abstract
In materials science, structural defects are irregularities that disrupt the ideal lattice arrangement and strongly influence a material's performance. This research work develops a quantum-mechanical framework to identify such defects in dielectric and metamaterial waveguides at the nanoscale. The analysis is based on the time-independent Schrödinger equation, where quantum scattering responses such as transmission, reflection, and tunneling are served as indicators of structural irregularities. For dielectric systems, deviations are detected through amplitude asymmetries in the probability density under resonant conditions, where balanced transmission and reflection are expected. In contrast, meta-materials exhibit defects as phase discontinuities in the decaying probability density within the effective potential region. The approach uses a confined particle model bounded by infinite potential barrier to prevent non-physical loss and ensure reliable results. This research opens new opportunities not only in defect engineering, quality control, but also performance optimization in nanoscale photonic, electronic, and quantum devices.
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