Scattering of a plane wave by a Schroeder diffusor: A mode‐matching approach

作者: Hans Werner Strube

DOI: 10.1121/1.383931

关键词: ScatteringLinear equationPlane waveDiffractionMathematicsScalar (mathematics)WavelengthPseudorandom number generatorMathematical analysis

摘要: The two‐dimensional, scalar diffraction theory is developed for a diffusing surface as suggested by Schroeder, consisting of an array ’’wells’’ equal widths but different depths, separated hard, thin walls. Diffusors finite size well infinite, periodic ones are treated. Matching the plane waves in free half‐space to wave modes wells yields infinite discrete linear equation system either case. For diffusor based on quadratic‐residue (QR) sequence, numerical results compared with measurements comprising two periods. also those obtained approximating locally reacting surface. differences are, at most, few decibels; mode‐matching usually closer measurements. uniformity scattering tested over range wavelengths 1:4; QR sequences superior pseudorandom sequences.

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