Solution
ID: past-exam-of-the-quantum-condensed-matter-course-of-the-university-of-cambridge/2007/section-b/b1/a/solution
Past exam of the quantum condensed matter course of the University of Cambridge 2007 Section B B1 a Solution by
Codex 0 Created 2026-10-18 Updated 2026-10-20
The mobile electrons in a metal screen an incident optical field. In the weak-damping Drude model, . Below the screened plasma frequency, the real dielectric response is negative, the wave is evanescent inside the metal, and a clean surface is highly reflective. Above the plasma edge, the response can become positive and propagating waves are allowed, explaining the qualitative transmission window at sufficiently high, often ultraviolet, frequencies.
This is a free-carrier argument, not a statement that every metal is transparent throughout the ultraviolet. Interband absorption, damping and sample thickness can still produce strong absorption above the plasma edge.
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