1. What Is RF Exposure?
Radio-frequency fields above about 100 kHz deposit energy in the body as heat. Exposure standards limit that heating with a margin: the basic restriction is the specific absorption rate (SAR) in W/kg, or, above 6 GHz, the absorbed power density at the skin. SAR is hard to measure, so the standards also give reference levels, called maximum permissible exposure (MPE) by the FCC, in quantities you can calculate and measure outside the body: power density S in W/m² and the field strengths E in V/m and H in A/m.
The reference levels are set so that a person standing in a uniform field at the limit stays below the basic restriction. Meeting them is sufficient for compliance; exceeding them means a closer look, not necessarily a breach of the basic restriction. Every value is an average over time (6 or 30 minutes) and, in most standards, over the body.
2. From Transmitter Power to Time-Averaged EIRP
Exposure depends on the power the antenna radiates in the direction of the person, averaged over the standard's averaging time:
Effective isotropic radiated power
N = carriers or ports · Ptx = power per carrier · L = feeder loss in dB · Gi = gain relative to isotropic · δ = duty cycle
Gain quoted in dBd is relative to a half-wave dipole: GdBi = GdBd + 2.15. The effective radiated power used in FCC exemption rules is ERP = EIRP / 1.64.
3. Far-Field Power Density and Ground Reflection
In the far field the power spreads over a sphere, so the power density falls with the square of the distance:
Far-field power density (OET-65)
R = distance in metres · S in W/m² (1 mW/cm² = 10 W/m²)
A wave reflected from the ground can add in phase to the direct wave. If the reflected field is a fraction Γ of the direct field, the power density rises by |1 + Γ|². OET-65 uses Γ = 0.6 for ground-level estimates, giving F = 2.56; F = 4 is the perfect-reflection worst case, and F = 1 applies in free space in the main beam.
4. Electric and Magnetic Field Strength
In the far field E and H are in phase and their ratio is the impedance of free space, η₀ ≈ 377 Ω:
Plane-wave relations
All RMS values
At low frequencies several standards give only E and H limits. The calculator converts them to a plane-wave equivalent power density and uses the stricter of E²/η₀ and η₀H², because both must be met.
5. Compliance Distance
Setting S equal to the limit and solving for R gives the distance beyond which the main-beam exposure is compliant:
Compliance distance, point source
For the aperture model the calculator solves the same condition numerically on the piecewise near-field, transition and far-field curve of section 7.
6. Field Regions
The far-field formula assumes the person is far enough away that the antenna looks like a point. For an antenna whose largest dimension is D:
Region boundaries
For an antenna small compared with λ, the reactive region extends to about λ/2π
Inside the Fraunhofer distance of a large antenna the beam has not formed, so the far-field formula overestimates the on-axis power density and the result is conservative. Inside the reactive near field of a small antenna the formula can underestimate the fields, and E and H must be evaluated separately.
7. Aperture Antennas — the OET-65 Dish Model
For a circular aperture of diameter D and efficiency η, OET-65 bounds the on-axis power density in three regions:
Near field, transition, far field
Rnf = D²/(4λ) · far field from Rff = 0.6D²/λ · G = η(πD/λ)² · P = time-averaged power at the feed
The near-field value is about four times the average power density over the aperture, and it holds as a plateau out to Rnf. The aperture formulas describe the main beam and include no ground reflection; off axis the power density is much lower.
8. The Limits
The four standards share a shape: a plateau at VHF where the human body resonates (about 30–300 MHz), a rise with frequency through the UHF bands as absorption becomes shallower, and a second plateau in the microwave range. The FCC general-population MPE, for example:
| Frequency (MHz) | E (V/m) | H (A/m) | S (mW/cm²) | Averaging |
| 0.3 – 1.34 | 614 | 1.63 | 100* | 30 min |
| 1.34 – 30 | 824/f | 2.19/f | 180/f²* | 30 min |
| 30 – 300 | 27.5 | 0.073 | 0.2 | 30 min |
| 300 – 1500 | — | — | f/1500 | 30 min |
| 1500 – 100 000 | — | — | 1.0 | 30 min |
* plane-wave equivalent. Occupational limits are five times the power density (6-minute average). ICNIRP 2020 sets 2 W/m² at 30–400 MHz, f/200 W/m² at 400–2000 MHz and 10 W/m² above 2 GHz for the public, averaged over 30 minutes; ICNIRP 1998 has the same power densities above 10 MHz with a 6-minute average. Safety Code 6 follows a smoother curve, 0.02619·f0.6834 W/m² from 300 MHz to 6 GHz, which is lower than the other three in the cellular bands.
9. Several Transmitters
Heating from different frequencies adds, so each source is weighted by the limit at its own frequency:
Total exposure ratio
This thermal summation applies above about 10 MHz. At lower frequencies ICNIRP also sums field strengths for nerve-stimulation effects, which this calculator does not do. Under FCC rules, a transmitter that contributes less than 5 % of its limit at a point of non-compliance is not responsible for it.
10. FCC Exemptions — 47 CFR §1.1307(b)(3)
A single transmitter needs no routine evaluation if it meets one of three tests. The 1 mW test: available time-averaged power no more than 1 mW. The SAR-based test, for 0.3–6 GHz at separations up to 40 cm:
SAR-based threshold
d in cm (≤ 20; between 20 and 40 cm Pth = ERP20cm) · f in GHz · ERP20cm = 2040f mW below 1.5 GHz, 3060 mW from 1.5 to 6 GHz
The power compared is the greater of the available power and the ERP. The MPE-based test applies at R ≥ λ/2π and compares ERP with 1920R² W (0.3–1.34 MHz), 3450R²/f² (1.34–30 MHz), 3.83R² (30–300 MHz), 0.0128R²f (300–1500 MHz) and 19.2R² (1.5–100 GHz), with R in metres and f in MHz.
11. Validity and Limitations
The calculator gives conservative planning estimates for whole-body exposure in the far field. Note:
- It does not compute SAR or local (partial-body) exposure; for devices held within 20 cm of the body a SAR evaluation applies.
- The point-source model can underestimate exposure in the reactive near field of a small antenna and overestimates it inside the Fraunhofer distance of a large one.
- The site view uses a generic vertical pattern; use the manufacturer's pattern for a final assessment, and include the horizontal pattern, mechanical tilt and building attenuation where they matter.
- Local rules can be stricter than the standards listed, and the 5G and above-6 GHz provisions of ICNIRP 2020 and Safety Code 6 (local exposure over 4 cm² or 1 cm²) are not covered.
Verify any site where people can enter the computed exclusion zone by measurement.
References
- U.S. Code of Federal Regulations, 47 CFR §1.1307(b) and §1.1310, Radiofrequency radiation exposure limits.
- FCC Office of Engineering and Technology, OET Bulletin 65: Evaluating Compliance with FCC Guidelines for Human Exposure to Radiofrequency Electromagnetic Fields, ed. 97-01, 1997.
- FCC, Resolution of Notice of Inquiry, Second Report and Order, FCC 19-126, 2019.
- ICNIRP, “Guidelines for Limiting Exposure to Electromagnetic Fields (100 kHz to 300 GHz),” Health Physics, vol. 118, no. 5, pp. 483–524, 2020.
- ICNIRP, “Guidelines for Limiting Exposure to Time-Varying Electric, Magnetic, and Electromagnetic Fields (up to 300 GHz),” Health Physics, vol. 74, no. 4, pp. 494–522, 1998.
- Council of the European Union, Recommendation 1999/519/EC on the limitation of exposure of the general public to electromagnetic fields (0 Hz to 300 GHz), 1999.
- Health Canada, Safety Code 6: Limits of Human Exposure to Radiofrequency Electromagnetic Energy in the Frequency Range from 3 kHz to 300 GHz, 2015.
- Innovation, Science and Economic Development Canada, RSS-102: Radio Frequency (RF) Exposure Compliance of Radiocommunication Apparatus.
- IEC 62232, Determination of RF field strength, power density and SAR in the vicinity of radiocommunication base stations for the purpose of evaluating human exposure.
- 3GPP TR 36.814, Further advancements for E-UTRA physical layer aspects, antenna pattern model.
- Balanis, C.A., Antenna Theory: Analysis and Design, 4th ed., Wiley, 2016.