RF Exposure Analysis
John MacDuff KA7TTY
RF Environmental Evaluation
*whichever comes first.
Evaluations can be made in Tiers.
Four Tiers
Tier 1 – Need Antenna location and transmitter ERP.
Tier 2 – Calculate the Maximum Permissible Exposure (MPE) in terms
Tier 3 and 4
Tier 3 - Account for
Tier 4 - Model your antenna installation
determine the antenna pattern of your antennas
see what the energy is at the locations in question.
Incidental and Occupational Exposure
Incidental Exposure
you do not know you are being exposed.
Occupational Exposure
yourself and members of your household.
*In Near Field of your antenna.
So where to start?
List of your antennas
Map of your lot.
| Antenna |
1 | 80m ½ wave dipole |
2 | 220 MHz dipole |
3 | 440 MHz yagi |
4 | 2.4 G Mesh |
5 | 2m dipole |
Add your antennas
Estimate distances
| Antenna | Distance Measured |
1 | 80m ½ wave dipole | A = 6.22m, E = 10.99m |
2 | 220 MHz dipole | B = 21.30m |
3 | 440 MHz yagi | B = 21.30m |
4 | 2.4 G Mesh | C = 19.93m |
5 | 2m dipole | D = 22.23m |
Add distances to the map
ERP Limits for Tier 1
Calculate Safe ERP Limits�Incidental Exposure
Antenna | Band | Height (h) | 6-foot person | Distance (d) | h2 | d2 | Sum | Feet | R Meters | Factor | f(MHz) | ERP Limit (W) | My ERP |
1-A | 20m | 10 | 4 | 20 | 16 | 400 | 416 | 20.39608 | 6.216725 | 3450 | 14.35 | 647.4981753 | 100 |
2 | 220 | 29 | 23 | 66 | 529 | 4356 | 4885 | 69.89278 | 21.30332 | 3.83 | 220 | 1738.174072 | 25 |
3 | 440 | 29 | 23 | 66 | 529 | 4356 | 4885 | 69.89278 | 21.30332 | 0.0128 | 440 | 2555.978165 | 5 |
4 | 2.4G | 29 | 23 | 60 | 529 | 3600 | 4129 | 64.2573 | 19.58562 | 19.2 | 2400 | 7365.055721 | 0.1 |
5 | 2m | 37 | 31 | 66 | 961 | 4356 | 5317 | 72.91776 | 22.22533 | 3450 | 148 | 77.8022667 | 25 |
1-E | 20m | 26 | 20 | 30 | 400 | 900 | 1300 | 36.05551 | 10.98972 | 3450 | 14.35 | 2023.431798 | 100 |
1-A | 80m | 26 | 4 | 20 | 16 | 400 | 416 | 20.39608 | 6.216725 | 3450 | 4 | 8333.402688 | 100 |
1-A | 40m | 26 | 4 | 20 | 16 | 400 | 416 | 20.39608 | 6.216725 | 3450 | 14.35 | 647.4981753 | 100 |
1-E | 80m | 26 | 20 | 30 | 400 | 900 | 1300 | 36.05551 | 10.98972 | 3450 | 4 | 26041.8834 | 100 |
Limit
Mine
Check for Near Field
Antenna | Band | λ | feet | λ/2π | My R (ft) |
1-A | 20m | 20m | 65.61 | 10.3 ft | 20.39 |
2 | 220 | 1.36m | 4.46 | 7.8 in | 69.89 |
3 | 440 | 0.68m | 2.23 | 4.3 in | 69.89 |
4 | 2.4G | 0.125m | 0.41 | ~0 | 64.26 |
5 | 2m | 2m | 6.56 | 1 ft | 72.92 |
1-E | 20m | 20m | 65.61 | 10.3 ft | 36.06 |
1-A | 80m | 80m | 262.47 | 41.3 ft | 20.39 |
1-A | 40m | 40m | 131.23 | 20.7 ft | 20.29 |
1-E | 80m | 80m | 262.47 | 41.3 ft | 36.06 |
λ/2π
Tier 2 Calculations�Near Field and Occupational Exposure
Near Field Calculations
S
E
H
Antenna | P | G | R cm | S (mW/cm2) | limit | E (V/m) | limit | H (A/m) | limit |
1-A | 100000 | 2.2 | 621.6725 | 0.04529913 | 4.38 @ 14.35MHz | 13.06819512 | 128.4 | 0.034664 | 0.341 |
1-A | 100000 | 2.2 | 621.6725 | 0.04529913 | 4.38 @ 14.35MHz | 13.06819512 | 128.4 | 0.034664 | 0.341 |
1-E | 100000 | 2.2 | 1098.972 | 0.01449572 | 4.38 @ 14.35MHz | 7.392488191 | 128.4 | 0.019609 | 0.341 |
Occupational Exposure Map
Tier 2 Calculations
* On this band, the limit is specified only by Power Density (S).
S
E
H
Antenna | Band | Height (h) | 6-foot person | d | h2 | d2 | Sum | Feet | R Meters | P | G | R | S (mW/cm2) | limit | E (V/m) | limit | H (A/m) | limit |
1a | HF | 10 | 4 | 0 | | | | 4 | 1.2192 | 100000 | 2.2 | 121.92 | 1.17777756 | 4.38 @ 14.35MHz | 66.63499 | 128.4 | 0.176751 | 0.341 |
1b | HF | 26 | 20 | 0 | | | | 20 | 6.096 | 100000 | 2.2 | 609.6 | 0.047111102 | 4.38 @ 14.35MHz | 13.327 | 128.4 | 0.03535 | 0.341 |
1c | HF | 12 | | 0 | | | | 12 | 3.6576 | 100000 | 2.2 | 365.76 | 0.130864173 | 4.38 @ 14.35MHz | 22.21166 | 128.4 | 0.058917 | 0.341 |
1d | HF | 16 | | 4 | 256 | 16 | 272 | 16.49242 | 5.02689 | 100000 | 2.2 | 502.689 | 0.069281033 | 4.38 @ 14.35MHz | 16.16136 | 128.4 | 0.042868 | 0.341 |
1e | HF | 5 | | 0 | | | | 5 | 1.524 | 100000 | 2.2 | 152.4 | 0.753777639 | 4.38 @ 14.35MHz | 53.30799 | 128.4 | 0.141401 | 0.341 |
1f | HF | 6 | | 0 | | | | 6 | 1.8288 | 100000 | 2.2 | 182.88 | 0.523456693 | 4.38 @ 14.35MHz | 44.42332 | 128.4 | 0.117834 | 0.341 |
2a | 220 | 8 | | 0 | | | | 8 | 2.4384 | 25000 | 2.2 | 243.84 | 0.073611098 | 1.0 | 16.65875 | 61.4 | 0.044188 | 0.163 |
3 | 440 | 8 | | 0 | | | | 8 | 2.4384 | 5000 | 2.2 | 243.84 | 0.01472222 | 1.4 | - | * | - | * |
4 | 2.4G | 21 | | 0 | | | | 21 | 6.4008 | 100 | 2.2 | 640.08 | 4.27312E-05 | 5.0 | - | * | - | * |
5 | 2m | 21 | | 0 | | | | 21 | 6.4008 | 25000 | 2.2 | 640.08 | 0.01068279 | 1.0 | 6.346189 | 61.4 | 0.016833 | 0.163 |
Conclusion
and do not need to progress to Tier 3.
Calculator like the Lake Washington Ham Club has on their WEB site.
References