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Spatially characterized pseudo-perfect diffuseness via finite-degree spherical harmonic diffuseness.

Tatsuhiro Tanaka1, Makoto Otani1

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This study characterizes pseudo-perfect sound diffuseness in architectural acoustics. Finite-degree spherical harmonic analysis reveals local spatial diffuseness, introducing the effective radius for characterization.

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Area of Science:

  • Acoustics
  • Architectural Acoustics
  • Sound Field Theory

Background:

  • Perfectly diffuse sound fields are crucial in architectural acoustics, with established theoretical models.
  • Real-world sound fields exhibit partial, not perfect, diffuseness, necessitating theories for pseudo-perfectly diffuse fields.

Purpose of the Study:

  • To spatially characterize pseudo-perfect sound diffuseness.
  • To investigate finite-degree spherical harmonic diffuseness for directional analysis.

Main Methods:

  • Directional characterization of finite-degree spherical harmonic diffuseness.
  • Spatial analysis of sound fields in architectural acoustics.

Main Results:

  • Finite-degree diffuse sound fields demonstrate local spatial diffuseness.
  • The effective radius of diffuseness is proposed as a metric for spatial pseudo-perfect diffuseness.

Conclusions:

  • Spatial pseudo-perfect diffuseness can be effectively characterized using the concept of the effective radius.
  • This research provides a method for understanding and quantifying non-ideal sound fields in architectural spaces.