Wavelength to Frequency Calculator


Wavelength \(\lambda \)
Relative Permittivity \(\epsilon_{r}\)


The Frequency is \(\nu \) ____

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.


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

\(\lambda \) = Wavelength
\(\nu \) = Frequency
\(c \) = Velocity of light
\(\epsilon_{r}\) = Relative Permittivity
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