UNCLASSIFIED
TM-CAL-017
FIELD STRENGTH REFERENCE
Calibrated RF Field for Receive Antenna and Field-Strength Meter Calibration
Table of Contents
CHAPTER 1 — GENERAL INFORMATION
1-1. SCOPE
This manual covers use of a calibrated transmitting antenna and power source to establish a reference electromagnetic field strength. The known field is used to calibrate receiving antennas, field strength meters, and EMC pre-compliance measurement setups.
1-3. SAFETY
WARNINGTransmitting RF energy above 1 W can cause interference to other radio services. Conduct tests on a licensed frequency (amateur bands if licensed) or at power levels below 10 mW. Comply with all local regulations.
CAUTIONMaintain minimum safe distance from transmitting antenna to avoid RF burns or biohazard. For 100 mW and below, >0.5 m is adequate. For QRP (5 W), maintain >3 m from antenna.
CHAPTER 2 — THEORY OF OPERATION
2-1. FAR-FIELD ELECTRIC FIELD STRENGTH
Far-field electric field strengthE (V/m) = √(30 × PW × G) / d
Where PW = transmitter power in watts, G = antenna gain (linear ratio, not dB), d = distance in meters from antenna.
Half-wave dipole gain (linear)Gdipole = 1.64 (2.15 dBi)
Isotropic antenna gainGisotropic = 1.0 (0 dBi)
| Power (W) | Distance (m) | E (V/m) | E (dBμV/m) |
|---|---|---|---|
| 0.1 | 1 | 7.01 | 137 |
| 0.1 | 3 | 2.34 | 127 |
| 1.0 | 3 | 7.40 | 137 |
| 5.0 | 3 | 16.5 | 144 |
| 5.0 | 10 | 4.96 | 134 |
2-2. NEAR FIELD VS. FAR FIELD
The far-field approximation (above) applies only beyond the Rayleigh distance.
Far-field boundary (electrically short antenna)dfar = λ / (2π) ≈ 0.159 λ
At HF (3–30 MHz), λ = 10–100 m, so far-field begins at 1.6–16 m. Tests at <3 m at HF may be in the near-field where the 1/d law does not hold.
CHAPTER 3 — MATERIALS AND CONSTRUCTION
3-1. REFERENCE SETUP
| Item | Specification |
|---|---|
| QRP transmitter or signal generator | Calibrated power output, e.g., 100 mW ±10% |
| Half-wave dipole (TX) | See TM-CAL-016; length matched to test frequency |
| Calibrated dummy load + directional coupler | Bird 43 or TinySA with coupler for power monitoring |
| Calibrated receive antenna | Field-calibrated loop, calibrated dipole, or standard gain horn |
| Spectrum analyzer / receiver | TinySA Ultra, for measuring received signal level |
| Steel tape measure | For setting exact TX–RX distance |
CHAPTER 4 — ASSEMBLY PROCEDURES
- Set up TX dipole outdoors, clear of buildings, height ≥1 m above ground.
- Position receive antenna at measured distance d (e.g., 3.000 m ±10 mm).
- Both antennas must be co-polarized (both horizontal or both vertical).
- Align antenna boresights for maximum received signal.
- Connect transmitter to TX dipole through directional coupler for power monitoring.
- Connect receive antenna to TinySA or receiver.
CHAPTER 5 — CALIBRATION PROCEDURE
- Transmit CW at calibrated power PW (measured at TX antenna feedpoint).
- Record received signal level Srx (dBm or dBμV/m) at known distance.
- Calculate expected E: E = √(30 × P × G) / d.
- If receive antenna is a calibrated dipole: received power Prx = E2 × Grx × λ2 / (480 π2).
- Compare expected vs. measured received level. Difference is receive antenna (or receiver) calibration error.
- Iterate at multiple distances (3 m, 5 m, 10 m) to verify 1/d falloff.
CHAPTER 6 — TUNING AND ADJUSTMENT
NOTEField strength tests are sensitive to ground reflections (multipath). Conduct tests with antennas ≥1.5 m above ground for reduced ground bounce. Early morning or late evening provides reduced atmospheric refraction effects at VHF and above.
CHAPTER 7 — VERIFICATION
- Verify inverse-square-law (1/d): doubling distance should reduce E by 6 dB.
- Measure at d = 3 m and d = 6 m: received signal should decrease by 6.0 ±1.0 dB.
- Deviation >2 dB indicates near-field effects, ground reflections, or antenna orientation error.
- Log: frequency, TX power, TX antenna type, distance, measured E, expected E.
APPENDIX A — CALCULATIONS AND FORMULAS
Electric field (far field, from transmitted power)E (V/m) = √(30 × P (W) × G) / d (m)
dBμV/m from V/mE (dBμV/m) = 20 × log10(E × 106)
Effective aperture of half-wave dipoleAeff = G × λ2 / (4π) = 1.64 × λ2 / (4π)
Received power from E fieldPrx (W) = E2 × Aeff / (120π)
APPENDIX B — EXAMPLE RESULTS
| Freq | PTX (mW) | d (m) | E calc (V/m) | E meas (V/m) | Error (dB) |
|---|---|---|---|---|---|
| 14.2 MHz | 100 | 3.0 | 2.35 | 2.28 | −0.3 dB |
| 14.2 MHz | 100 | 6.0 | 1.17 | 1.14 | −0.2 dB |
| 14.2 MHz | 100 | 10.0 | 0.704 | 0.690 | −0.2 dB |