Abstract

This paper examines the characteristics of a harmonic plane wave in 1D and applies it to a model of an auditorium in the shape of a quarter of an ellipsoid. In the application, this paper will mainly look at transmission loss, reverberation, disruption of the performers, and differences between different frequencies. The differences between different frequencies will be analyzed on both a macroscopic auditorium level as well as on a microscopic level of a single point in the audience.

Highlights

  • The science of acoustics is an old one: Galileo Galilei, Marin Mersenne, Robert Hookeand Félix Savart all made contributions into the creation of the acoustics as a science

  • This paper examines the characteristics of a harmonic plane wave in 1D and applies it to a model of an auditorium in the shape of a quarter of an ellipsoid

  • This paper aims to summarize much of the theoretical background of acoustics and examine a theoretical auditorium in the shape of a quarter of an ellipsoid and its acoustical properties

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Summary

Introduction

The science of acoustics is an old one: Galileo Galilei, Marin Mersenne, Robert Hookeand Félix Savart all made contributions into the creation of the acoustics as a science. Psychoacoustics is very important, which can be applied to mechanical maintenance [2], noise assessment [3] [4], emotional analysis [5] and so on. It was under this background that, during the early 1900s, the American physicist Wallace Clement Sabine has performed his pioneer contributions [6]. He is regarded as the founder of scientific architectural acoustics. More than 100 years later, scientists have found correlations for most of the acoustic criteria

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