Maximum electric field strength of main wave in rectangular waveguide

A rectangular waveguide is a rectangular metal waveguide capable of supporting waves propagating along it. The main wave is a transverse electric wave with the first index equal to \(1\) and the second index equal to \(0\).

Notes:

1. Horizontal dimension refers to the dimension of the cross section of the waveguide that is orthogonal to its central axis. See image for reference.

Notation:

1. \(Z_0\) (Z_0) is vacuum_impedance.

Conditions:

1. The wave propagating in the waveguide must be the main wave.

2. The waveguide must be rectangular.

maximum_electric_field_strength

Maximum electric_field_strength in the waveguide.

Symbol:

E

Latex:

\(E\)

Dimension:

voltage/length

relative_permittivity

relative_permittivity of the insulator.

Symbol:

epsilon_r

Latex:

\(\varepsilon_\text{r}\)

Dimension:

dimensionless

width

Horizontal dimension of the waveguide. See length.

Symbol:

a

Latex:

\(a\)

Dimension:

length

wavelength

wavelength of the signal.

Symbol:

lambda

Latex:

\(\lambda\)

Dimension:

length

magnetic_field_strength

magnetic_field_strength.

Symbol:

H

Latex:

\(H\)

Dimension:

current/length

law

E = 2 * Z_0 * a * H / (lambda * sqrt(epsilon_r))

Latex:

\[E = \frac{2 Z_0 a H}{\lambda \sqrt{\varepsilon_\text{r}}}\]