Two-colour pyrometers
Principle, advantages, limits and possible applications of two-colour pyrometers in thermal processes
Introduction
Measuring principle
In order to minimize the wavelength-dependent influence of the emissivity of the measuring surface, wavelength ranges that are close to each other must be selected. On the other hand, however, this means that the two radiation densities hardly differ. The ratio of two almost identical values changes only very slightly depending on the object temperature. Therefore, the lowest measurable temperature of a two-colour pyrometer is limited to approx. 300 °C. In order to be able to analyze these small signal changes at all, a large amplification is required. The highest demands are therefore placed on the quality of the sensors, electronic amplifiers and A/D converters in order to achieve a high signal-to-noise ratio or a small NETD (Noise Equivalent Temperature Difference) and thus the high temperature resolution required for accurate measurement. To check the NETD, operate the device at the start of the measuring range with the shortest response time and check the stability of the measuring signal.

Fig. 1 Two-colour pyrometers measure the radiation in two wavelength ranges and determine the temperature from the ratio of the radiance values.
Advantages of a two-colour pyrometer
If the emissivities ε1 = ε2 (grey radiator) are the same for the two wavelengths, the term of the emissivity in the equation is reduced and the two-colour pyrometer displays the true temperature regardless of the emissivity of the measuring object. Even if the emissivity of the measuring object changes to the same extent for both wavebands, this has no influence on the measurement result. Deviations from the true temperature due to constant differences between the two emissivities can be corrected by adjusting the emissivity ratio on the pyrometer.
Influence of a wavelength-dependent signal change on the two-colour temperature
The same selective effect occurs when the transmission of the inspection glass changes depending on the wavelength due to thin-layer deposits (e.g. oil films or vapour deposits). The two-colour method is also not completely independent of the radiation properties of the measuring object, as can sometimes be read in the literature.
The three examples in Table 1 clearly show the different influence of attenuation depending on the degree of emission for the one-colour and two-colour measuring methods. In relation to a temperature of 800 °C of a "blackbody radiator" with an emissivity of ε = 1, the following temperature values result from Planck's radiation law for a two-colour pyrometer with λ1 = 0.95 μm and λ2 = 1.05 μm with a different change in the wavelength-related emissivities (see Table 1).

Table 1 Influence of emissivity-dependent attenuation for the one-colour and two-colour measuring methods.
As can be seen in Figure 2, the closer the wavelength ranges of the device are to each other, the greater the sensitivity in relation to the emissivity ratio.

Fig. 2 Influence on the displayed temperature when changing the emissivity ratio of the measuring object for different measuring wavelengths in relation to an object temperature of 800 °C.
These two contradictory relationships must be taken into account when using the devices in practice. The recommendation to use devices with wavelengths that are as short and close together as possible also tends to apply to two-colour pyrometers. In particular, if water vapour is involved, this can lead to a considerable measurement error due to the absorption band of the atmosphere in devices with a longer wavelength.

Fig. 3 With metals, the emissivity decreases with increasing measuring wavelength.
Aligning the device to the maximum temperature therefore does not work in the same way as with a one-colour pyrometer. Modern two-colour pyrometers have the option of showing the signal strength on the display. This allows the device to be aligned to the maximum as with a one-colour pyrometer.
The higher this value, the more reliable the measurement. Even more informative is the parallel recording and evaluation of the 2 one-colour temperatures and the ratio.
The smaller the fluctuations in the temperature difference for the two wavelengths λ1 and λ2, the more reliable the ratio value. The following measurement curves show the behaviour of the measured values with a neutral signal attenuation by a sight glass with a transmission of 93 % and a laminated window glass with a wavelength-dependent transmission (Fig. 4).

Fig. 4 Comparative measurement of the temperature change for a high-quality protective glass (1) and a low-grade laminated glass (2).
With two-colour pyrometers, when measuring through inspection glasses, it is therefore essential to ensure that the glasses have a neutral transmission curve in the wavelength range of the pyrometer. This can be checked very easily by holding a disc in front of the pyrometer during the measurement. The two-colour temperature may only change insignificantly.
Operation of the two-colour pyrometer with partial illumination
Another advantage when measuring small objects is that a two-colour pyrometer is much less sensitive to optical alignment and correct focusing. In contrast, a one-colour pyrometer must be very precisely aligned and focused on the measuring object in order to avoid measuring errors if the measuring object is barely larger than the measuring field.

Fig. 5 Erroneous temperature rise with simple two-colour pyrometers if the hot object is located in the edge area of the measuring spot.

Fig. 6 Influence of the measuring distance on the one-colour and two-colour temperatures.
Behaviour of two-colour pyrometers with inhomogeneous temperature distribution on the measuring object

Fig. 7 Extreme measuring conditions prevail in the rolling stand due to water vapour and scale.
But how does a two-colour pyrometer react to an inhomogeneous temperature distribution in the measuring field? The behaviour of a two-colour pyrometer is more complex with an inhomogeneous temperature distribution. It depends on the total area of the "hot spots" and the temperature differences between the hot and cold spots in the measuring field. Due to the partial illumination effect described above, a two-colour pyrometer determines the temperature of the hottest point in the measuring field provided there is a significant temperature difference of > 200 °C between the hot and cold areas.
When measuring on a slab, several hot spots can occur in the measuring field due to the scale. If the temperature difference is small, the two-colour pyrometer also determines the temperature from the average value of the received radiation. It is therefore also recommended to use devices with high optical resolution and good imaging quality for a two-colour pyrometer in order to minimize the influence of inhomogeneities by means of maximum value detection.
If water vapour and contamination are to be expected during the hot rolling process, a two-colour pyrometer should preferably be used. Using the contamination monitoring function of the two-colour pyrometer also increases the operational reliability of the measured value acquisition.
Two-colour pyrometer for measuring colder objects in a hot furnace atmosphere
For this reason, the devices are often used without a sighting tube, probably because they are aware of the greater or lesser degree of faulty measurement. The influence of background radiation can be reduced if the temperature of the radiation background is measured separately using a thermocouple or second pyrometer and the reflected interference radiation in the pyrometer is corrected by calculation. This correction can be subject to uncertainty, especially if the emissivity of the object is small, fluctuates or is not precisely known.
If, for physical reasons, the rule of thumb "measure as short-wave as possible" applies to metallic objects in order to minimize the influence of emissivity, this approach is exactly the opposite when measuring colder objects in a hot atmosphere.
The background radiation has less of an effect with a longer wavelength measuring device. On the other hand, with a longer wavelength spectral sensitivity, the emissivity ε of metals is smaller and therefore the degree of reflection σ is greater (ε + σ = 1). This in turn leads to a greater dependence of the interference influence of the hot furnace radiation with changing emissivities. Manufacturers therefore recommend using devices with a spectral sensitivity in the 1 - 2 μm range in order to achieve the best compromise.

Fig. 8 With modern two-colour pyrometers, both the one-colour and two-colour measured values and the signal strength are displayed and output.
Two-colour pyrometers in power plants and incineration plants
The reliability of the measurement can be checked by displaying the signal strength. Due to the often small furnace openings with diameters of 20 - 30 mm and wall thicknesses of 200 - 400 mm, optical high-resolution devices with good imaging properties must be used in order to avoid constriction of the measuring field. The geometric and optical axes should also be identical and therefore the device should be parallax-free to prevent the device from "squinting". Depending on the equipment required and the accessibility of the installation site, compact devices or pyrometers with a sighting aid in the form of a through-the-lens sighting or a video camera are used in order to be able to check the alignment and free viewing opening quickly and easily during commissioning and during operation.
From a safety point of view, the use of the contamination monitoring function of the two-colour pyrometer is also recommended here in order to automatically generate an alarm if the furnace opening becomes too dirty or overgrown.
Two-colour pyrometers for inductive heating systems

Fig. 9 Sluice for sorting out bolts with too low or too high a temperature.
Particularly in the case of devices with a fixed focal distance, this cannot always be maintained exactly due to the machine design. With fixed mounting of the devices and varying bolt diameters, the measuring distance changes anyway, so that the devices are sometimes not operated at the focal distance.
A two-colour pyrometer reacts much less sensitively to changes in the measuring distance, the bolt diameter or when the devices are operated outside the focal range as described at the beginning up to certain limits and is therefore advantageous for such applications compared to a one-colour pyrometer.
The use of compact two-colour pyrometers with pilot light (Fig. 10) is therefore recommended here in order to optimally fulfil the two essential requirements of the measuring task for a) a largely distance-independent and reliable measurement and b) a simple alignment check.

Fig. 10 Compact two-colour pyrometer with LED pilot light for displaying the exact size, position and focal distance.
Conclusion
Device manufacturers can only recommend utilizing the additional protection and analysis options of the two-colour pyrometer in order to increase process reliability and gain insights from the additional temperature information.