Frequency, wavelength & period

Convert frequency, wavelength and period for your medium. Add a physical length to find delay and electrical length.

Calculate frequency, wavelength and period

Free space · VF 1

Wavelength
122.36 mm
Period
408.16 ps
Half wave · λ/2
61.18 mm
Quarter wave · λ/4
30.59 mm

Phase velocity: 299.79 Mm/s. Constant velocity factor assumed.

Delay & electrical length Optional physical-length check

Leave blank if you only need frequency, period and wavelength.

One-way phase delay
100.07 ps
Electrical length
88.26 °
Length in wavelengths
0.25 λ

One-way phase delay in a constant-velocity medium. Electrical length is unwrapped; 360° is one wavelength.

Wavelength: 122.36 mm. Period: 408.16 ps

Model & assumptions

Frequency ff counts cycles per second; period TT is the time for one cycle. With frequency in hertz, the period in seconds is:

T=1fT=\frac1f

Wavelength is the distance travelled during one cycle. The wave speed is the velocity factor VF multiplied by the vacuum light speed cc, exactly 299,792,458 m/s:

λ=VF cf\lambda=\frac{\mathrm{VF}\,c}{f}

Here λ\lambda is wavelength in metres in the selected medium. A lower VF shortens the wavelength at the same frequency. The tool assumes a uniform medium with constant VF greater than 0 and at most 1; it excludes loss, cutoff and dispersion.

For a physical length ℓ\ell in metres, one-way delay τ\tau is distance divided by wave speed. Electrical length θ\theta counts 360° for each wavelength:

τ=ℓVF c,θ=360∘ℓλ\tau=\frac{\ell}{\mathrm{VF}\,c},\qquad\theta=360^\circ\frac{\ell}{\lambda}

Delay is in seconds and electrical length is in degrees. Round-trip delay is twice the one-way value. Phase delay equals group delay here because the model keeps wave speed constant with frequency.

For example, 2.45 GHz in free space has a period of approximately 408.16 ps and a wavelength of 122.36 mm. A 30 mm path is 88.26° long.

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