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Transient Axial Solution for the Reflection of a Spherical Acoustic Wave from a Rigid Concave Parabolic Reflector

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A transient solution is presented for the reflected acoustic wave along the axis of symmetry of a rigid concave parabolic reflector. The incident field is a spherical wave produced at the focus of the reflector. The present solution is applied to a Gaussian modulated sinusoidal pulse. And the evolution of the axial waveform components and the effect of depth-to-focal-length ratio on the peak power density are studied and analyzed. A concept of “diffraction-leading zone” is proposed based on the calculation results. Inside the diffraction-leading zone, increasing the depth-to-focal-length ratio has no effect on improving the peak power density. While out of the diffraction-leading zone, the peak power density will be improved as the depth-to-focal-length ratio increasing to a certain limit at different ranges. If the aperture size of the reflector is fixed, an optimized depth-to-focal-length ratio exists to maximize the gain in the far field.
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Document Type: Research Article

Publication date: November 1, 2013

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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