A logarithmic frequency or wavelength scale is proposed for the Planck blackbody distribution, whose peak location is the same in terms of both log10(v) or log10(λ. The consequence is a unified Wien's displacement law that is no more dependent on whether wavelength or frequency is chosen as the variable to express Planck's law. The new characteristic wavelength is approximately 26.6% longer than the conventional Wien's displacement law in terms of wavelength. The results can be easily extended to two-dimensional and one-dimensional Planck distributions and may be useful in analyzing near-field radiative transfer.
Bibliographical noteFunding Information:
This work was supported by the National Science Foundation (CBET-0828701).