Frequency–Wavelength Calculator
Frequency ↔ wavelength conversion: vacuum/medium wavelength, period, velocity factor, half/quarter-wave antenna sizes, and photon energy.
Key points
Frequency–Wavelength Calculator: Frequency ↔ wavelength conversion: vacuum/medium wavelength, period, velocity factor, half/quarter-wave antenna sizes, and photon energy. Formula: λ = c / f | in medium λ′ = c / (f·√εr) | T = 1 / f. Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. Speed of light in vacuum c = 299,792,458 m/s; phase velocity in a medium v = c / √εr and wavelength is v / f. Antenna sizes typically use the vacuum half/quarter wavelength (air εr ≈ 1); PCB microstrip and cables shorten by the effective εr.
Inputs
λ = c / f | in medium λ′ = c / (f·√εr) | T = 1 / fCalculation model (updates with parameters)
| Frequency f | 100 MHz | f = c / λ (vacuum) |
| Period T | 10 ns | T = 1 / f |
| Vacuum wavelength λ | 2.998 m | λ = c / f |
| Wavelength in medium λ′ | 2.998 m | λ′ = λ × vf = c / (f·√εr) |
| Velocity factor vf | 1.0000 | vf = 1 / √εr |
| Phase velocity v | 299.8 Mm/s | v = c × vf |
| Half wavelength λ′/2 | 1.499 m | Half-wave dipole / half-wave transmission-line size |
| Quarter wavelength λ′/4 | 749.5 mm | Monopole antenna / quarter-wave transformer |
| Photon energy E | 6.63e-26 J（4.14e-7 eV） | E = h·f |
Engineering notes
- Speed of light in vacuum c = 299,792,458 m/s; phase velocity in a medium v = c / √εr and wavelength is v / f.
- Antenna sizes typically use the vacuum half/quarter wavelength (air εr ≈ 1); PCB microstrip and cables shorten by the effective εr.
- The effective εr of a microstrip also depends on trace width and dielectric thickness; confirm exact designs with stack-up simulation.
FAQ
- What is Frequency–Wavelength Calculator for?
- Frequency ↔ wavelength conversion: vacuum/medium wavelength, period, velocity factor, half/quarter-wave antenna sizes, and photon energy.
- What is the formula for Frequency–Wavelength Calculator?
- Core formula: λ = c / f | in medium λ′ = c / (f·√εr) | T = 1 / f. The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Frequency–Wavelength Calculator?
- Speed of light in vacuum c = 299,792,458 m/s; phase velocity in a medium v = c / √εr and wavelength is v / f. Antenna sizes typically use the vacuum half/quarter wavelength (air εr ≈ 1); PCB microstrip and cables shorten by the effective εr. The effective εr of a microstrip also depends on trace width and dielectric thickness; confirm exact designs with stack-up simulation.