RS103 Test Field Calculator
RS103 Test Field Calculator
What amplifier an RS103 radiated-susceptibility test needs: the forward power for a stated field at a stated distance, the power once cable loss and mismatch are paid for, the average against the peak for the standard’s own pulse modulation, and the power density the field represents — because a test field of this size is an RF hazard.
Amplifier power for an RS103 test field
MIL-STD-461G RS103 for a Navy SPACE application at 100 MHz — 20 V/m from Table XI — with the antenna 1 metre away, 6 dBi of gain, 2 dB of cable loss and a VSWR of 1.5
Power for a field, in the far field
equivalently E = √(30 P G) / r, with 30 = η0/4π = 29.979
mismatch loss = −10 log10(1 − |Γ|²), Γ = (VSWR − 1)/(VSWR + 1)
Pamplifier = Pforward × 10(cable loss + mismatch loss)/10 Paverage = duty × Pamplifier
- G
- the transmit antenna’s gain at that frequency, as a ratio. It varies across the band, and the lowest gain in the band is what sizes the amplifier
- r
- the distance from the antenna to the EUT. Power goes as its SQUARE, so distance is the most expensive variable on the page
- Γ
- the reflection coefficient at the antenna. Reflected power never reaches the EUT and it goes back into the amplifier, which may or may not tolerate it
- duty
- RS103 uses 1 kHz pulse modulation at 50 per cent. The field LIMIT is the peak, so the amplifier must make the peak power; the duty only sets the average and the thermal load
Worked example
MIL-STD-461G RS103 for a Navy SPACE application at 100 MHz — 20 V/m from Table XI — with the antenna 1 metre away, 6 dBi of gain, 2 dB of cable loss and a VSWR of 1.5
Table XI gives space 20 V/m in every band and for every service, so the required field is 20 V/m — which is 1.062 W/m² of power density, or 106.2 mmW/cm²
The forward power that makes that field at 1 metre from a 6 dBi antenna is 4πr²E²/(η₀G) = 3.352 W
A VSWR of 1.5 means a reflection coefficient of 0.2, so 4 per cent of the power comes back — 0.177 dB
Adding the 2 dB of cable loss, the amplifier has to produce 3.352 W × 10^(2.177/10) = 5.533 W of PEAK power
At 50 per cent duty the average is 2.767 W, which is what sets the thermal load — but the amplifier must still make the peak without compressing, or the field will be lower than the setting suggests
For scale: the same test at 200 V/m instead of 20 would need a hundred times the power, 553.3 W, and moving the antenna to 2 metres would quadruple whatever you started with
The honesty. At 100 MHz a 1.37 m biconical has a Rayleigh distance of 1.252 m, so at 1 metre the EUT is inside the antenna's near field and this far-field arithmetic is a PLANNING ESTIMATE. MIL-STD-461G does not calculate the field: it raises the level until a calibrated electric field sensor at the EUT position reads the limit. Buy the amplifier with margin and let the probe set the level
MIL-STD-461G Table XI, RS103 limit levels in volts per metre
| Platform | Service | 2–30 MHz | 30 MHz–1 GHz | 1–18 GHz | 18–40 GHz |
|---|---|---|---|---|---|
| Aircraft, external or safety critical | A | 200 | 200 | 200 | 200 |
| Aircraft, external or safety critical | N | 200 | 200 | 200 | 200 |
| Aircraft, external or safety critical | AF | 200 | 200 | 200 | 200 |
| Aircraft, internal | A | 200 | 200 | 200 | 200 |
| Aircraft, internal | N | 200 | 200 | 200 | 60 |
| Aircraft, internal | AF | 20 | 20 | 60 | 60 |
| All ships above deck and exposed below deck, and submarines external | A | 200 | 200 | 200 | 200 |
| All ships above deck and exposed below deck, and submarines external | N | 200 | 200 | 200 | 200 |
| All ships above deck and exposed below deck, and submarines external | AF | — | — | — | — |
| Ships, metallic, below decks | A | 10 | 10 | 10 | 10 |
| Ships, metallic, below decks | N | 10 | 10 | 10 | 10 |
| Ships, metallic, below decks | AF | — | — | — | — |
| Ships, non-metallic, below deck | A | 50 | 10 | 10 | 10 |
| Ships, non-metallic, below deck | N | 50 | 10 | 10 | 10 |
| Ships, non-metallic, below deck | AF | — | — | — | — |
| Submarines, internal | A | 5 | 10 | 10 | 10 |
| Submarines, internal | N | 5 | 10 | 10 | 10 |
| Submarines, internal | AF | — | — | — | — |
| Ground | A | 50 | 50 | 50 | 50 |
| Ground | N | 10 | 10 | 50 | 50 |
| Ground | AF | 10 | 10 | 50 | 50 |
| Space | A | 20 | 20 | 20 | 20 |
| Space | N | 20 | 20 | 20 | 20 |
| Space | AF | 20 | 20 | 20 | 20 |
What each field level costs, at 1 metre from a 6 dBi antenna
| Field | Power density | Forward power | With 2 dB cable and VSWR 1.5 |
|---|---|---|---|
| 5 V/m | 66.36 mW/m² | 209.5 mW | 345.8 mW |
| 10 V/m | 265.4 mW/m² | 837.9 mW | 1.383 W |
| 20 V/m | 1.062 W/m² | 3.352 W | 5.533 W |
| 50 V/m | 6.636 W/m² | 20.95 W | 34.58 W |
| 60 V/m | 9.556 W/m² | 30.16 W | 49.8 W |
| 200 V/m | 106.2 W/m² | 335.2 W | 553.3 W |
Where the RS103 requirement applies, from paragraph 5.21.1
| Band | Who | Note |
|---|---|---|
| 2 MHz to 30 MHz | Army and Navy; optional for all others | Optional means required only if the procurement specification says so |
| 30 MHz to 18 GHz | All | The core of the requirement |
| 18 GHz to 40 GHz | Optional for all | Again, only if the contract calls for it |
| Any band | Army and Air Force | No requirement at the tuned frequency of antenna-connected receivers |
| Any band | Receivers with permanently attached antennas | Reduced performance is allowed in band, provided performance recovers afterwards |
What amplifier do I need, and what does that field mean?
RS103 illuminates the equipment under test at a stated field strength and looks for anything that misbehaves. The levels are in MIL-STD-461G’s Table XI — tabulated, not graphed, so they can simply be read — and they range from 5 V/m for equipment inside a submarine’s pressure hull to 200 V/m for aircraft external or safety-critical equipment. Space is 20 V/m in every band and for every service, which is one of the few places in this standard where a satellite programme gets an unambiguous number.
The arithmetic is simple and the consequences are not. Power density is PG/4πr², field is √(η0S), and turning that round gives the forward power. Then cable loss and mismatch are paid on top, in power rather than in decibels of margin — three decibels of cable loss doubles the amplifier you have to buy. And power goes as the SQUARE of distance, so moving the antenna from 1 metre to 2 metres quadruples the bill. Distance and cable loss are the two variables worth arguing about before anything is ordered.
The level is a peak. RS103 requires 1 kHz pulse modulation at 50 per cent duty with at least 40 dB of depth, and the limit applies to the peak field. So the amplifier has to make the peak power this page prints; the duty cycle halves the average and therefore the thermal load, and that is all it does. An amplifier specified in CW terms may or may not produce the peak cleanly, and one that compresses produces a field lower than the setting says — which is the direction that lets a susceptibility through. There is a matching trap on the measurement side: a broadband diode field probe under pulse modulation does not read the peak, and the standard’s data presentation clause asks for exactly the correction factors that fix it.
This is a planning estimate, not a prediction. At RS103’s 1 metre distance most transmit antennas put the EUT inside their own near field — a 137 cm biconical at 100 MHz has a Rayleigh distance of about 1.3 metres — so the far-field relation used here does not describe the field that will actually exist. MIL-STD-461G knows this and does not calculate the field at all: the procedure is to raise the level until an electric field sensor positioned at the EUT reads the limit. Use this page to choose an amplifier with margin; let the probe set the level.
And it is a hazard. A 200 V/m field is about 10.6 mW/cm². The ICNIRP 2020 guidelines’ reference level for occupational exposure in the 30 to 400 MHz band is 139 V/m, so 200 V/m exceeds even that, and the general-public level is lower still. The standard requires the test area to be assessed for RF hazards before anything is switched on. That means interlocks, a written procedure, and nobody in the chamber — none of which a calculator provides. This page is not an RF safety calculator and does not replace one. Your programme’s RF safety officer, your local exposure regulations and your own risk assessment decide what may be switched on and who may be in the room.
What this page does not cover. The reverberation-chamber method in paragraph 5.21.4 works completely differently: the field is established from a measured calibration factor with the tuner rotating, and the chamber’s lowest usable frequency comes from a mode-count criterion on its own dimensions. For the other direction — emissions rather than immunity — the RE102 margin page is the sibling of this one, and the field and power density converter handles the unit work. Once a susceptibility is found, the aperture page and the transfer impedance page are where the fix usually lives, because the same openings and the same shield terminations govern both directions.
Frequently asked questions
What field level does a satellite have to be tested to?
MIL-STD-461G Table XI gives space 20 V/m, in every frequency band and for all three services. That is one of the few places in the standard where a space programme gets an unambiguous number — RE102’s limits, by contrast, point at a figure whose curves are all labelled in aircraft terms. As always the contract may tailor it.
Is the power on this page peak or average?
Peak. RS103 modulates with a 1 kHz pulse at 50 per cent duty and the field limit is the peak value, so the amplifier must produce the peak power without compressing. The average, which is what sets the thermal load, is the duty cycle times that — both are printed. An amplifier rated in CW terms is not necessarily rated for this.
Why does the page say the calculation is only an estimate?
Because at RS103’s 1 metre distance the EUT is usually inside the transmit antenna’s near field, where the far-field relation P = 4πr²E²/η₀G does not describe the field. The standard does not calculate the field either: it raises the level until a calibrated electric field sensor at the EUT position reads the limit. The right use of this page is choosing an amplifier with margin.
How much does cable loss really cost?
It is paid in power, not in margin. Three decibels doubles the amplifier, six quadruples it, ten is a factor of ten. At a few gigahertz a long run of ordinary coax through a chamber wall panel is easily 3 to 6 dB, so a better cable or an amplifier sited closer to the panel is often cheaper than the extra watts.
Why does VSWR matter if the field is set by a probe anyway?
Two reasons. The reflected power never reaches the EUT, so you need more forward power to make the level — a VSWR of 2 costs half a decibel and a VSWR of 3 costs 1.25 dB. And the reflected power goes back into the amplifier, which has a reverse-power rating that transmit antennas at the edges of their bands can exceed.
Do I need to test both polarisations?
Above 30 MHz, yes — paragraph 5.21.2 requires the requirement to be met for both horizontally and vertically polarised fields, and circularly polarised fields are explicitly not acceptable. Up to 30 MHz vertical alone is required. That doubles the test time above 30 MHz and changes the amplifier not at all.
Related calculators
References
- MIL-STD-461G, paragraph 5.21 RS103, radiated susceptibility, electric field. Paragraph 5.21.1 gives the applicability and the optional bands; 5.21.2 gives the limit and the polarisation rule and points at Table XI; 5.21.3.3c places the transmit antenna 1 metre or more from the test setup boundary and 5.21.3.3d places the field sensors; 5.21.3.4b requires the test area to be assessed for RF hazards; 5.21.3.4c(1)(a) specifies 1 kHz pulse modulation at 50 per cent duty with 40 dB of depth. The limit levels in the table above are read from TABLE XI, printed page 145 — tabulated in the standard rather than graphed.
- MIL-STD-461G, paragraph 5.21.4 RS103 alternative test procedures — reverberation chamber (mode-tuned). A different method with a different calibration, which this page does not cover.
- ITU-R Recommendation P.525, Calculation of free-space attenuation, which gives the field from a radiator as e = √(30 p)/d. The 30 is η₀/4π = 29.979; the rounding is worth 0.0030 dB, which is why this page uses η₀ rather than 30.
- ICNIRP, Guidelines for Limiting Exposure to Electromagnetic Fields (100 kHz to 300 GHz). Health Physics 118(5): 483–524, 2020. Cited for the 30 to 400 MHz reference levels — 139 V/m occupational and 62 V/m general public — quoted here only to put an RS103 test field in context. This page is not an exposure assessment.
