5.3 Reflected Apparent Temperature (RAT) Methods
Key Takeaways
- Reflected apparent temperature (RAT), also called reflected temperature or T_reflected, characterizes the infrared radiation field incident on the target that will be reflected toward the camera
- For low-ε targets, ρ is large, so errors in RAT dominate quantitative uncertainty even if ε is approximately known
- The crumpled aluminum foil (diffuse reflector) method measures the apparent temperature of the surroundings as seen in reflection without assuming a perfect mirror alignment
- Direct measurement of a representative background and reflector methods both aim to capture what the target “sees,” not the air temperature from a weather app alone
- RAT can be measured without touching a hot surface by placing the reflector in the same radiometric environment the target faces, then reading the reflector with ε ≈ 1.0 on the camera
Emissivity tells the camera how much of the collected radiance is treated as emission. Reflected apparent temperature (RAT) tells the camera what radiation field is being reflected. For Level II work on metals and other low-ε surfaces, RAT is not a secondary checkbox — it is half of the radiometric problem.
Defining RAT
Reflected apparent temperature (also called reflected temperature, apparent reflected temperature, or T_refl) is the temperature of a blackbody that would produce the same infrared radiance as the actual radiation incident on the target from the surroundings (in the camera’s spectral band and for the relevant geometry).
In simpler field language:
RAT is the IR “brightness temperature” of everything the target can see in reflection — walls, open panels, people, heaters, sky, lamps — packaged as one equivalent temperature the camera uses in its reflection term.
It is not automatically:
- The air temperature on a digital thermometer
- The thermostat setpoint
- The temperature of the target itself
- A single wall temperature if the target also sees a hot furnace door on one side and a cold loading dock on the other
| Term | Meaning |
|---|---|
| Air temperature | Kinetic temperature of air (convection, comfort, some atmospheric models) |
| RAT | Radiometric equivalent of incident IR on the target (reflection correction) |
| Target temperature | What you are trying to measure |
| Apparent temperature | What the camera reports under current parameters |
For opaque surfaces, the reflection weighting is ρ ≈ 1 − ε. Therefore:
| ε | ρ ≈ 1 − ε | Sensitivity to RAT error |
|---|---|---|
| 0.95 | 0.05 | Low — small reflection share |
| 0.80 | 0.20 | Moderate |
| 0.50 | 0.50 | High |
| 0.10 | 0.90 | Extreme |
| 0.05 | 0.95 | Extreme — almost a mirror |
Exam line: when ε is low, reflections dominate; measuring RAT carefully is mandatory for quantitative claims.
Direct vs Reflector Methods
Direct (background) method
Point the camera at a representative surface that approximates what the target sees — for example a wall facing the same way the bus “looks,” or a large cardboard sheet placed to represent the background — with ε set high (≈ 0.95–1.0) if that background is a high-ε diffuser, and read its apparent temperature. Enter that value as RAT.
Works best when:
- The background is fairly uniform
- The target is surrounded by similar high-ε surfaces (indoor rooms)
- You understand the target’s viewing hemisphere
Fails when:
- Specular metals see a hot lamp in a narrow angle while the wall you measured is cool
- Outdoor targets see cold sky in one direction and warm pavement in another
- You measure “air” with a contact probe and call it RAT without radiometric basis
Reflector method (preferred teaching standard for Level II)
Place a reflector so that it intercepts the same incident radiation field the target experiences, then measure the reflector radiometrically.
Crumpled aluminum foil method
- Take household or industrial aluminum foil.
- Crumple it, then gently open it so the surface is wrinkled / diffuse, not a flat mirror. Diffuseness averages many directions of the surroundings instead of locking onto one specular hotspot.
- Place the foil near the target, oriented so it “sees” approximately the same surroundings the measurement surface sees (same side of the cabinet, same general direction).
- Do not need to touch a dangerously hot surface — place the foil on a stick, cold area nearby, or fixture that shares the radiometric environment.
- Set camera ε ≈ 1.0 (or 0.95–1.0 per procedure) and measure the foil’s apparent temperature.
- Because the foil has very high reflectivity, that apparent temperature is essentially the RAT of the incident field.
- Enter that value as the camera’s reflected temperature parameter for subsequent target measurements.
- Then set the target’s true ε (or measure on tape) and read the target.
| Step | Camera ε | What you read |
|---|---|---|
| Measure foil reflector | ≈ 1.0 | RAT |
| Measure high-ε tape on target | Tape ε (e.g., 0.95) | Target temperature |
| Measure bare metal (advanced) | Metal’s effective ε | Target temperature (higher uncertainty) |
Why crumple (diffuse) instead of flat mirror foil?
| Reflector type | Behavior | Risk |
|---|---|---|
| Flat specular foil | Reflects one direction like a mirror | May catch only a lamp, the camera, or your body — unrepresentative |
| Crumpled / diffuse foil | Averages many incident directions | Better estimate of hemispherical or broad incident field |
| Commercial diffuse gold reflector | Engineered diffuse reflector | Lab-grade consistency when available |
Level II exams and courses emphasize the crumpled foil technique because it is field-practical and reduces specular “gotcha” reflections.
When Reflections Dominate Low-ε Targets
Classic field symptoms
- Polished stainless door shows a clear reflection of the inspector as a warm blob that moves when you move.
- Outdoor metal roof shows sky temperature patches that change with viewing angle.
- Open switchgear shows cool metal that is actually warm, because it reflects a cold wall — or the reverse near a heater.
- Rotating the camera or operator changes the “hot spot” location on shiny metal without load change.
These are reflection artifacts, not always real thermal faults. Quantitative work must separate them; qualitative work must not call every bright metal patch a failure.
Worked conceptual example
True metal temperature = 70 °C, ε = 0.10, surroundings (true RAT) = 20 °C.
If you leave RAT at 20 °C and ε at 0.10, the solution can approach 70 °C (idealized). If you wrongly enter RAT = 40 °C (you stood next to a warm panel when measuring background), the reflection term is wrong and the solved metal temperature shifts — error grows as ρ grows. If you also leave ε = 0.95, both terms are wrong and the reading may bear little relation to 70 °C.
Message: low ε multiplies the cost of RAT mistakes.
Measuring RAT Without Touching Hot Surfaces
Hot pipes, kiln shells, and energized bus create a practical problem: you need the reflection field, not a burn.
Safe Level II approaches:
- Foil on an insulated handle or pole held in the same “view” the target has of the room — without contacting the hot surface.
- Foil or diffuse reflector beside the line of fire, same hemisphere of incidence.
- Direct measurement of the cold/hot walls, open doors, and heat sources that dominate the target’s view, then combine judgment when the field is nonuniform (document the choice).
- For outdoor work, account for sky (often very cold in LWIR) vs ground — angle matters enormously on metals.
You are measuring radiation environment, not the surface contact temperature of the foil substrate. Thin foil quickly shows the reflected field when ε is set near 1 for the RAT reading; still avoid holding foil so it conducts from a hot pipe if that heats the foil structure into emission — crumple technique assumes reflection-dominated foil reading.
Integrating RAT with Tape/Paint Workflow
Recommended sequence for a quantitative metal measurement:
- Observe geometry: what can the surface see?
- Measure RAT with crumpled foil (ε ≈ 1.0 on foil).
- Enter RAT in the camera.
- Measure on tape/paint with ε for the reference emitter or use characterized metal ε.
- Capture images documenting foil placement and measurement spots.
- Re-check RAT if you move to a different room orientation or open a door (environment changed).
| Situation | RAT priority |
|---|---|
| Painted wall survey indoors, ε = 0.95 | Still set RAT; error usually small |
| Bare bus inspection | Critical |
| Through IR window | RAT + window τ both matter (later chapter) |
| Roof moisture survey at night | Sky/building radiation geometry critical |
| Comparing two identical painted phases | Consistent RAT and ε across both |
Common RAT Errors
| Error | Result |
|---|---|
| Using HVAC air temperature as RAT always | Misses radiant heaters, open bays, sky |
| Measuring foil with ε = 0.05 | Foil reading no longer represents pure reflection field correctly |
| Flat foil aimed at your own heat | RAT too high → target T solution skewed |
| One RAT for entire plant route | Different rooms and outdoor exposures need local RAT |
| Ignoring that low-ε target “sees” the camera/operator | Stand off-angle; use diffuse method |
Summary for Recall
RAT is the radiometric temperature of the radiation incident on the target for reflection correction. Because ρ ≈ 1 − ε, low-ε metals are reflection-dominated and demand careful RAT. The crumpled aluminum foil method creates a diffuse reflector: measure it with ε ≈ 1.0 to obtain RAT, then measure the target with the correct target ε (often on tape). Direct background methods work when the scene is uniform. You can obtain RAT without touching hot surfaces by placing the reflector in the same radiometric environment. Level II quantitative metal work that skips RAT is incomplete even if emissivity was “set to something low.”
What is reflected apparent temperature (RAT) in quantitative thermography?
In the crumpled aluminum foil method, how is the camera typically configured when reading the foil to obtain RAT?
Why does RAT error matter more for polished aluminum (ε ≈ 0.05) than for flat black paint (ε ≈ 0.95)?
Why is crumpled (diffuse) foil generally preferred over a flat shiny foil mirror when measuring RAT?