Attenuation coefficient in dielectric

A coaxial waveguide is an electrical cable consisting of a central conductor and a shield arranged coaxially and separated by an insulating material or an air gap. It is used to transmit radio frequency electrical signals. The attenuation coefficient of a coaxial waveguide depends on the frequency of signal, as well as on the permittivity, the permeability and the dielectric loss angle of the insulator material.

attenuation_coefficient

attenuation_coefficient of the waveguide.

Symbol:

alpha

Latex:

\(\alpha\)

Dimension:

1/length

absolute_permittivity

absolute_permittivity of the insulator.

Symbol:

epsilon

Latex:

\(\varepsilon\)

Dimension:

capacitance/length

absolute_permeability

absolute_permeability of the insulator.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

inductance/length

angular_frequency

angular_frequency of the signal.

Symbol:

w

Latex:

\(\omega\)

Dimension:

angle/time

loss_tangent

dielectric_loss_tangent.

Symbol:

tan(delta)

Latex:

\(\tan \delta\)

Dimension:

dimensionless

law

alpha = w * sqrt(epsilon * mu) * tan(delta) / 2

Latex:
\[\alpha = \frac{\omega \sqrt{\varepsilon \mu} \tan \delta}{2}\]