Abstract
Blackbody radiation inversion is a mathematical process for the determination of probability distribution of temperature from measured radiated power spectrum. In this paper a simple and stable blackbody radiation inversion is achieved by using an analytical function with three determinable parameters for temperature distribution. This inversion technique is used to invert the blackbody radiation field of the cosmic microwave background, the remnant radiation of the hot big bang, to infer the temperature distribution of the generating medium. The salient features of this distribution are investigated and analysis of this distribution predicts the presence of distortion in the cosmic microwave background spectrum.
Highlights
Blackbody radiation inversion is a mathematical process for the determination of probability distribution of temperature from measured radiated power spectrum
The total power radiated per unit frequency per unit solid angle by a unit area of a blackbody emitter can be expressed by Planck’s law[1,2]
Due to its finite field of view a telescope can observe a small portion of the sky at any time. These small portions consist of different blackbody radiators with different temperature T and each of them are in thermal equilibrium
Summary
Blackbody radiation inversion is a mathematical process for the determination of probability distribution of temperature from measured radiated power spectrum. In this paper a simple and stable blackbody radiation inversion is achieved by using an analytical function with three determinable parameters for temperature distribution. This inversion technique is used to invert the blackbody radiation field of the cosmic microwave background, the remnant radiation of the hot big bang, to infer the temperature distribution of the generating medium. The total power radiated per unit frequency per unit solid angle by a unit area of a blackbody emitter can be expressed by Planck’s law. Where W(ν) is the radiated power per unit frequency per unit area and per unit solid angle and α(T) is the probability distribution of temperature of the blackbody. The blackbody radiation inversion problem aims to find the probability distribution of temperature from the radiated power spectrum
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
