Investigation of the Minimum Possible Temperature of Objects to Compile the Infrared Signature
DOI:
https://doi.org/10.20535/RADAP.2025.99.%25pKeywords:
signature, infrared range, measurements, optimization, sensitivityAbstract
Actuality. When compiling a signature in a given area of the infrared (IR) range of real terrestrial objects falling on the declining branch of the Planck curve, it is necessary to take into account the strong attenuation of infrared radiation with increasing wavelength. At the same time, such attenuation leads to a significant decrease in the reliability of measurement results with increasing wavelength. Therefore, in order to maintain the same reliability of the results obtained, the width of the spectral IR subband used to calculate the signature should increase with increasing wavelength. Thus, the question on choosing a function of dependence width of the wavelength range used to calculate the signature on the wavelength of the measurement, which could be implemented at a minimum temperature of the object, should be solved.
The purpose is to determine the function of dependence of the width of the wavelength range used to calculate the signature on the wavelength of the measurement, which could be implemented at a minimum temperature of the object. Such an optimum function would ensure maximum reliability of the result of calculating the signature of real objects.
Method. The problem is solved using the variational optimization method based on the temperature determination formula obtained on the basis of the Planck formula. The study of the denominator of this formula, taking into account the integral constraint set on the desired function, make it possible to determine the optimal type of this function, in which the signature can be calculated at the minimum temperature of the object.
Result. The minimum temperature threshold of the object has been determined, which ensures the implementation of the proposed measurement method, in which reliable determination of the infrared signature of the object is possible.
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