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Working principle of bolometry
Short answer
Bolometry measures microwave power by resistance change of a barretter or thermistor absorbing RF in a Wheatstone bridge. DC bias is reduced after RF is applied until the bridge rebalances; P_RF = (I1^2 - I2^2) R. It covers about 1 uW to 10 mW with substitution accuracy.
Explain the working principle of bolometry used in microwave measurements.
Bolometry measures microwave power by the change in resistance of a small temperature-sensitive resistor (bolometer) when it absorbs the microwave power. It is a substitution method: the RF heating is compared with an equal amount of DC (or low-frequency) heating.
Bolometer elements
| Type | Material | Temperature coefficient | Typical R |
|---|---|---|---|
| Barretter | Thin Pt/W wire | Positive (R rises) | ~200 Ω |
| Thermistor | Semiconductor bead | Negative (R falls) | ~100–200 Ω |
Barretters are fast but fragile and burn out easily; thermistors are more rugged and are preferred.
Working principle (balanced bridge)
+----R1----+----R2----+
| | |
DC ---+ [ G ] +---
bias | | |
+----R3----+---[Rb]---+
|
bolometer in
waveguide mount
(RF input)
- The bolometer is one arm of a Wheatstone bridge and sits in a matched waveguide or coaxial mount that absorbs the RF power.
- With no RF, DC bias current is adjusted until the bolometer reaches the balance resistance (e.g. 200 Ω) and the galvanometer reads zero. DC power P1 = I1²Rb.
- RF power is applied. The bolometer heats and its resistance changes, unbalancing the bridge.
- The DC bias is reduced until the bridge balances again (same Rb, same temperature). DC power P2 = I2²Rb.
- The RF power equals the reduction in DC power:
P_RF = P1 − P2 = (I1² − I2²)·Rb
Example: Rb = 200 Ω, I1 = 10 mA, I2 = 8 mA → P_RF = (1×10⁻⁴ − 0.64×10⁻⁴)×200 = 7.2 mW.
Self-balancing bridge
In practical power meters, an amplifier automatically adjusts the bias to keep the bridge balanced. A second, identical thermistor (not exposed to RF) in another bridge compensates for ambient temperature changes.
Features
- Range: about 1 µW to 10 mW (low power); higher power is measured with a calibrated attenuator or directional coupler in front.
- Accuracy: about ±1–5 %; errors come from mount mismatch, mount losses (mount efficiency) and DC–RF substitution error.
- Slow response (thermal), so it measures average power.
✓ Answer checked by Claude Opus 5.5 (high effort)
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