O'Reilly logo

RF and Microwave Engineering: Fundamentals of Wireless Communications by Frank Gustrau

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

2.4 Skin Effect

In order to mathematically analyse the skin effect we start with Maxwell's first and second equation in differential form which are repeated here for convenience

2.76 2.76

2.77 2.77

Since skin effect takes place in good conductors we are interested in the electric fields in conductors with high values of the conductivity σ. Let's further assume non-dielectric non-magnetic material (εr = μr = 1). In these conductors current flow is mainly due to conduction current density images/c02_I0197.gif. The displacement current density images/c02_I0198.gif is of minor significance. We will consider a conductive halfspace (z ≥ 0) in order to ease our calculations by having a simple geometry. First we apply the curl operator12 and the constitutive relation images/c02_I0199.gif on Equation 2.77

2.78 2.78

Next, we will insert Equation 2.76 and Ohm's law images/c02_I0201.gif in Equation ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required