Finite size corrections to the blackbody radiation laws

TL;DR

This paper derives finite size corrections to blackbody radiation laws using semiclassical methods, providing explicit formulas and parameter ranges for experimental verification, with applications in cosmic microwave background and sonoluminescence.

Contribution

It introduces explicit finite size corrections to blackbody laws based on cavity geometry, extending classical laws to finite systems.

Findings

Derived modified Planck's law for finite cavities

Identified parameter ranges for experimental detection

Discussed implications for cosmic microwave background and sonoluminescence

Abstract

We investigate the radiation of a blackbody in a cavity of finite size. For a given geometry, we use semiclassical techniques to obtain explicit expressions of the modified Planck's and Stefan-Boltzmann's blackbody radiation laws as a function of the size and shape of the cavity. We determine the range of parameters (temperature, size and shape of the cavity) for which these effects are accessible to experimental verification. Finally we discuss potential applications of our findings in the physics of the cosmic microwave background and sonoluminescence.