Blackbody radiation and distribution function with three parameters

TL;DR

This paper proposes a three-parameter distribution function to predict blackbody radiation, offering an alternative to Planck's equation, and demonstrates its accuracy through simulations that closely match experimental data.

Contribution

It introduces a novel three-parameter distribution function for blackbody radiation, providing an alternative numerical method to Planck's equation.

Findings

Simulation results align closely with experimental data.

Correlation coefficients between actual and calculated data are 1.0.

Mean relative errors are below 6.65%.

Abstract

The object of this work is to give the key to answer whether or not there is another numerical method which is different from the equation proposed by Planck to predict blackbody radiation by frequency. Firstly, Maxwell distribution function for molecule velocities was modified, resulting in a distribution function with three parameters for deriving monochromatic intensity of blackbody radiation through frequency. Then this simulation function was applied to estimate the energy density (Jm-2) of blackbody radiation by frequency at 5500 K, 5000 K, 4500 K, 4000 K, 3500 K and 2.73 K of temperature. The results of density simulated by means of distribution function suggested in this paper agree well with the experimental data. All of the correlation coefficients between actual and calculated data are 1.0; at the same time, the mean relative errors are less than 6.65% in total.