Diffraction of a partial temporal coherent beam from a single-slit and a circular aperture

Abstract

We generalize the notion of the Franhoufer diffraction from a single slit and a circular aperture to the case of partially temporal coherent and quasimonochromatic light. The problem is studied analytically and the effect of coherence length on the diffraction pattern is investigated. In this case the far-field distribution of the irradiance depends on the newly introduced parameter η "decoherence parameter" which governs the deviation of the diffraction pattern from the usual one. The η-dependent corrections due to temporal decoherency on the irradiance distribution in the far field is obtained. Numerical study of the effect of decoherence parameter on the Far-field diffraction pattern is performed. In the case of a single slit, there is no noticeable deviation in the central peak, but in the higher orders of diffraction, deviation become apparent. For circular apertures, as long as 1   , the beam decoherency affects the distribution profile and the first order diffraction pattern decreases and by increasing the decoherence parameter, the first order of diffraction pattern gradually disappears.

Diffraction of Partial Temporal Coherence Beam From Multi Slits

“…First, we check our general expression (4), for the case of single slit n=1, by comparing it to our previous work [10]. The results are shown in Fig.…”

“…we have generalized the Fraunhofer diffraction from a single slit illuminated by a partial temporal coherent beam previously studied in our work [10] to the case of n-slits. To achieve this goal, theoretical and numerical methods have been developed for the simulation of the diffraction pattern of multi-slits which is also used to study the effects of coherence length on the pattern.…”

“…In our previous work, the diffraction of a partial temporal coherent beam from a single-slit was studied. A general formula was derived for the intensity distribution from a single slit illuminated with partial temporal coherent light, at the far-field [10]. Theory was based on interference of waves from a source traveling along different paths.…”

“…Theory was based on interference of waves from a source traveling along different paths. According to the fact that partial temporal coherence of light influences the interference intensity and considering a single slit as a continuous series of spot sources, we obtained an analytical relation for the intensity distribution and then generalized the model to the circular apertures [10].…”

“…In this paper we generalize our previous studies to the case of multi slits. The superposition of N beams with the same intensity I and angular frequency ω at the far field point P is given by [10]:…”