Dielectric Resonator
A puck of high-permittivity, low-loss ceramic acts as a compact, very high-Q resonator — the frequency-setting element in dielectric-resonator oscillators (DROs) and cavity filters. Most energy is stored inside the puck, so its size and dielectric constant set the frequency. This tool uses the Cohn/Kajfez closed-form approximation for the dominant TE01δ mode. It's a ±2 % estimate for an isolated puck; shielding and a substrate shift it.
Equations & Parameters ▸
\(f_{GHz}=\dfrac{34}{a\sqrt{\varepsilon_r}}\left(\dfrac{a}{L}+3.45\right)\quad(a,L\text{ in mm})\)
valid for \(0.5
valid for \(0.5
| a | Puck radius (mm). |
| L | Puck length / height (mm). |
| εr | Relative permittivity of the ceramic (typically 30–50). |
Reference: D. Kajfez & P. Guillon, Dielectric Resonators, 1986; D. M. Pozar, Microwave Engineering, 4th ed., §6.5.
Inputs
mm
Puck radiusmm
Puck heightCeramic
Results
Resonance (TE01δ)
Resonant frequency—
Free-space wavelength—
Aspect ratio a/L—
Diagram