<title>Edge diffraction in Monte Carlo ray tracing</title>

<title>Numerical experiments in Monte Carlo modeling of polarization, diffraction, and interference phenomena</title>

“…It is also consistent with the previously reported data. [3][4][5][6] We will present the corresponding distributions in the next section among the interference patterns obtained by the "wave-particle" Monte Carlo model for an infinite slit, circular aperture, and semi-infinite knife-edge plane.…”

“…[2][3][4][5][6] However, all of these studies are far from being complete, and there remains a gap to be filled before this method becomes fully workable. Here, we describe some techniques and present the results of our numerical experiments, which might be helpful for further development of the Monte Carlo ray tracing method.…”

“…With the recent explosive expansion of optical communications and the related demand for more advanced systems, devices, and components, the importance of reliable but relatively simple simulation techniques, capable of capturing both geometrical and physical optics phenomena, has grown enormously. No wonder, there have been a lot of activities [1][2][3][4][5][6] aimed at extending the conventional ray tracing approach, which is well suited for radiation energy transfer in geometrical optics environment, to the situations where the wave nature of light (e.g., polarization, diffraction, interference, etc.) becomes dominant.…”

“…[3][4][5][6] Briefly, the underlying idea is as follows. When a ray (photon) is passing near the edge of an aperture, its position becomes localized, with the uncertainty, x ∆ , being less than the shortest distance to the edge.…”

Experimental Study on the Propagation of Electromagnetic Waves and the Spatial Distribution of Electric Potential

“…If we do that, there is a significant variation in the projected spider size when light at large off-axis angles is included and, in principle, every source has a slightly different diffraction pattern. Alternatively, we can use the edge diffraction calculation method of Freniere et al (1999), where the photon's position is shifted by an angular deflection of λ πd (4 ), where λ is the wavelength of the photon and d is the closest distance a photon ray gets to the edge of any part of the spider structure. Thus, d can be calculated in fully three-dimensions and this calculation then results in both the correct geometric shadowing of the spider structure as well as the radial envelope of the diffraction spikes, but not any interference modulation of the diffraction spike pattern.…”