Numerical Experiments in Modeling Diffraction Phenomena

Heinisch, R. P.; Chou, Tien S.

doi:10.1364/ao.10.002248

Cited by 14 publications

(13 citation statements)

References 2 publications

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“…85 A similar method was suggested by Benedetto and Spagnolo in 1984 86 and in optics in 1971. 87 Numerous combinations of the above-mentioned diffraction models and the GA modeling techniques have been proposed, as will be discussed in more detail later, especially in Sec. IV D.…”

Section: Diffraction Modelsmentioning

confidence: 99%

Overview of geometrical room acoustic modeling techniques

Savioja¹,

Svensson

2015

The Journal of the Acoustical Society of America

301

190

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Computerized room acoustics modeling has been practiced for almost 50 years up to date. These modeling techniques play an important role in room acoustic design nowadays, often including auralization, but can also help in the construction of virtual environments for such applications as computer games, cognitive research, and training. This overview describes the main principles, landmarks in the development, and state-of-the-art for techniques that are based on geometrical acoustics principles. A focus is given to their capabilities to model the different aspects of sound propagation: specular vs diffuse reflections, and diffraction.

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Section: Diffraction Modelsmentioning

confidence: 99%

Overview of geometrical room acoustic modeling techniques

Savioja¹,

Svensson

2015

The Journal of the Acoustical Society of America

301

190

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“…The parameter 2 L = a(_J (4) is used to determine which ofthe two regimes applies for the case ofenergy passing through a slit [Haskell, 1970]. In Equation 4, a is the width ofthe slit, ?…”

Section: Treatment Of Diffractionmentioning

confidence: 99%

“…Unfortunately, the approach fails to describe diffraction near the transition between the two regimes, around A = I (at ?, = 40 pm for our geometry zE 1.73 > 1). The modification is based on a statistical approach involving the particle theory of light and the application of the Heisenberg uncertainty principle [Heinisch and Chou, 1971; Likeness, 1977]. Details may be found in Coffey, et a!.…”

Section: Treatment Of Diffractionmentioning

confidence: 99%

<title>Optical and electrothermal design of a linear-array thermopile detector for Geostationary Earth Radiation Budget applications</title>

Mahan

Weckmann

Sanchez

et al. 1998

Sensors, Systems, and Next-Generation Satellites II

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Described is thermal radiation detector conceived for possible deployment on GERD (Geostationary Earth Radiation Budget). It consists of a linear array of 256 elements, each 60 .tm square and separated by a 3-im gap. Each element is the active junction of a single-junction-pair zinc-antimonide/platinum thermopile. The reference junction is mounted on an isothermal substrate, and the active junction is thermally isolated from the substrate by a thin layer of parylene. The detector is mounted on one wall of a wedge-shaped, mirrored cavity intended to increase the effective absorptivity and improve the spectral flatness of the detector through multiple reflections. A dynamic opto-electrothermal model of the detector/cavity combination has been formulated in order to facilitate its optimal design. The optical part of the model is based on a Monte-Carlo ray trace that takes into account diffraction at the entrance slit as well as the diffuse and specular components of reflectivity of the cavity surfaces. Heat absorption and diffusion through the thermopile structure has been modeled using the finite element method. The model has been used to validate a method for eliminating optical cross-talk among elements of the array through postprocessing of data.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…[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.…”

Section: Introductionmentioning

confidence: 99%

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

Serikov

Kawamoto

2001

SPIE Proceedings

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We present the numerical tests for a Monte Carlo ray-tracing model. The model has been extended to simulate not only geometrical but also physical optics phenomena, including polarization, diffraction, and interference of light. Light beams are represented by a flux of simulated particles (photons) carrying a complex vector characteristic that contains information about amplitude and phase of electromagnetic field oscillations. The model allows simulations of polari zation phenomena in global coordinates. It has been verified by predicting the results that perfectly match those derived from the Fresnel formulae for unpolarized light reflection/refraction at the interface of two media. The capability of handling diffraction and interference has been tested on the problems of Fraunhofer diffraction at an infinite slit and circular aperture, and Fresnel diffraction at a semiinfinite knife-edge plane. The results obtained for the former compare fairly well with the analytical solutions from the wave theory, whereas, for the latter, there is only a qualitative agreement with the fringe pattern deduced from the Cornu spiral.

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Numerical Experiments in Modeling Diffraction Phenomena

Abstract: Diffraction has been numerically modeled using a Monte Carlo statistical analysis. The Heisenberg uncertainty principle has been applied to attain this goal. Example solutions have been studied and are presented to illustrate the utility and accuracy of the technique.

Cited by 14 publications

References 2 publications

Overview of geometrical room acoustic modeling techniques

Overview of geometrical room acoustic modeling techniques

<title>Optical and electrothermal design of a linear-array thermopile detector for Geostationary Earth Radiation Budget applications</title>

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

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