Abstract
The iridescent reflection light observed on the machined surface is analysed with diffraction theory of light and the relation between surface profile and diffraction spectra is discussed in general. At first the surface is assumed to be a single sinusoidal wave form and secondly to be composed of various components. In the case of a sinusoidal wave form, the diffraction spectra are discrete lines separated by a equal spacing that depends on the period of the surface profile. The envelope of amplitude distribution of the spectra is the first kind Bessel function. The diffraction spectra in the case of composition of sinusoidal waves can be obtained by the convolution of line spectra of all components. Therefore, separate line spectra can be observed only when the surface profile is defined as a periodic function. The waviness of surface and the pitch error of feeding cause many ghost spectra between each principal spectrum, when the iridescent color become less pure and whitish.
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