plane waves in lossy material skin depth reflection

Maxwell’s equations

general properties of linear waves derive linear wave equation c is determined by the media most general solution two forms of energy

Plane waves in a lossy material

we cannot neglect the conduction current

The propagation movie

Waves in metal

copper @ f=10 GHz

E H E H X E H

E H metal X E H

boundary conditions for time-varying fields normal D differ by a surface charge density tangential E is continuous normal B is continuous tangential H differ by a surface current density

E H E H Why? E H

Etan is continuous E E Htan is continuous X H E H H

Reflection coefficient X E H Transmission coefficient

A pulse propagating from one media to another movie

impedance meter conductor

Reflection from a conductor

Special cases short matched open

two materials X E H

Reflection coefficient for wave from left Transmission coefficient for wave from left

Reflection coefficient for wave from right Transmission coefficient for wave from right

Movie demonstrating reflection and transmission

F 22 Special cases matched