Attenuation coefficient in dielectric substate of microstrip line

The attenuation coefficient of the microstrip metal can be calculated from the effective and relative permittivity of the microstrip, the wavelength of the signal in vacuum and the dielectric loss angle of the substrate.

attenuation_coefficient

attenuation_coefficient of the microstrip line.

Symbol:

alpha

Latex:

$\alpha$

Dimension:

1/length

relative_permittivity

relative_permittivity of the dielectric substrate of the microstrip line.

Symbol:

epsilon_r

Latex:

${\epsilon }_{\text{r}}$

Dimension:

dimensionless

effective_permittivity

Effective relative_permittivity of the microstrip line. See Effective permittivity of microstrip line.

Symbol:

epsilon_eff

Latex:

${\epsilon }_{\text{eff}}$

Dimension:

dimensionless

wavelength

wavelength in vacuum.

Symbol:

lambda

Latex:

$\lambda$

Dimension:

length

loss_tangent

dielectric_loss_tangent.

Symbol:

tan(delta)

Latex:

$\tan \delta$

Dimension:

dimensionless

law

alpha = 27.3 * epsilon_r / sqrt(epsilon_eff) * (epsilon_eff - 1) / (epsilon_r - 1) * tan(delta) / lambda

Latex:

$$\alpha =27.3\frac{{\epsilon }_{\text{r}}}{\sqrt{{\epsilon }_{\text{eff}}}}\frac{{\epsilon }_{\text{eff}}-1}{{\epsilon }_{\text{r}}-1}\frac{\tan \delta }{\lambda }$$