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We present a light curve analysis of fundamental-mode Galactic and LargeMagellanic Cloud (LMC) Cepheids based on the Fourier decomposition technique.We have compiled light curve data for Galactic and LMC Cepheids in optical({\it VI}), near-infrared ({\it JHK}$_s$) and mid-infrared (3.6 $\&$4.5-$\mu$m) bands from the literature and determined the variation of theirFourier parameters as a function of period and wavelength. We observed adecrease in Fourier amplitude parameters and an increase in Fourier phaseparameters with increasing wavelengths at a given period. We also found adecrease in the skewness and acuteness parameters as a function of wavelengthat a fixed period. We applied a binning method to analyze the progression ofthe mean Fourier parameters with period and wavelength. We found that forperiods longer than about 20 days, the values of the Fourier amplitudeparameters increase sharply for shorter wavelengths as compared to wavelengthslonger than the $J$-band. We observed the variation of the Hertzsprungprogression with wavelength. The central period of the Hertzsprung progressionwas found to increase with wavelength in the case of the Fourier amplitudeparameters and decrease with increasing wavelength in the case of phaseparameters. We also observed a small variation of the central period of theprogression between the Galaxy and LMC, presumably related to metallicityeffects. These results will provide useful constraints for stellar pulsationcodes that incorporate stellar atmosphere models to produce Cepheid lightcurves in various bands.

On the Variation of Fourier Parameters for Galactic and LMC Cepheids at Optical, Near-Infrared and Mid-Infrared Wavelengths