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Wavelength to Frequency Calculator

Input

Wavelength	$\lambda$		millimetercentimetermeterkilometer
Relative Permittivity	$\epsilon_{r}$

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Output

The Frequency is

$\nu$

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GHzMHzKHzHz

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Waves:   Periodic wave is the wave disturbance that repeats itself in time and space. If the periodic wave is sinusoidal, the shape of wave takes the form of a sine or cosine function, hence it can be called as harmonic waves. For instance an electromagnetic wave traveling in x-direction could be represented as
$E(x,t)=E_{max}cos(kx-\omega t+\phi )$
$E$ is the electric field vector. The wave number is $k = \frac{2\pi}{\lambda}$, where $\lambda$ is the wavelength of the wave. The frequency $\nu$ of the wave is $\nu = \frac{\omega}{2\pi}$, $\omega$ is the angular frequency. $\phi$ is the phase offset.

Wavelength $\lambda$:   Wavelength is the amount of distance per cycle and has dimensions of length.

Frequency $\nu$:   Frequency is the number of cycles per amount of time and has units of one over time or hertz (Hz). The frequency of a wave is the inverse of the wave’s period $t$.

Product of Frequency and wavelength is equal to the velocity of wave provided relative permittivity is unity.

Formula

$\nu=\frac{c}{\lambda\sqrt{\epsilon _{r}}}$

Where:

$\lambda$ = Wavelength

$\nu$ = Frequency

$c$ = Velocity of light

$\epsilon_{r}$ = Relative Permittivity

Other Related Calculator:
- Frequency to Wavelength

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