By Leo L. Beranek, Tim Mellow
Acoustics: Sound Fields and Transducers is a completely up-to-date model of Leo Beranek's vintage 1954 e-book that keeps and expands at the original's specific acoustical basics whereas including sensible formulation and simulation equipment.
Serving either as a textual content for college students in engineering departments and as a reference for practising engineers, this e-book specializes in electroacoustics, studying the habit of transducers by way of electro-mechano-acoustical circuits. Assuming wisdom of electric circuit thought, it begins by means of guiding readers throughout the fundamentals of sound fields, the legislation governing sound iteration, radiation, and propagation, and basic terminology. It then strikes directly to examine:
- Microphones (electrostatic and electromagnetic), electrodynamic loudspeakers, earphones, and horns
- Loudspeaker enclosures, baffles, and waveguides
- Miniature functions (e.g., MEMS in I-Pods and cellphones)
- Sound in enclosures of all sizes, comparable to classrooms, workplaces, auditoriums, and residing rooms
Numerical examples and precis charts are given during the textual content to make the fabric simply appropriate to useful layout. it's a beneficial source for experimenters, acoustical specialists, and to people who expect being engineering designers of audio equipment.
- An replace for the electronic age of Leo Beranek's vintage 1954 ebook Acoustics
- Provides particular acoustic basics, permitting higher realizing of advanced layout parameters, dimension equipment, and data
- Extensive appendices hide frequency-response shapes for loudspeakers, mathematical formulation, and conversion factors
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Extra resources for Acoustics: Sound Fields and Transducers
128) are equated to a constant of separation n2, then Eq. 128) can then be separated into three equations for each ordinate as follows. The radial equation in w. 133) where Jn(x) and Yn(x) are Bessel functions of the first and second kind respectively, as plotted in Fig. 17 and Fig. 18. The “2” in parentheses denotes an outgoing cylindrical wave and the “1” denotes an incoming one. FIG. 17 Bessel functions of the first kind. 58 CHAPTER 2 The wave equation and solutions FIG. 18 Bessel functions of the second kind.
16. We shall use these for planar circular radiators. In the xy plane of the rectangular coordinate 56 CHAPTER 2 The wave equation and solutions z P(w,φ ,z) z y w φ x 0 FIG. 16 Cylindrical coordinates. 123) Conversely The rectangular z ordinate simply becomes the axial cylindrical ordinate. 126) Let the solution to Eq. 10 Cylindrical coordinates 57 Substituting this in Eq. 129) where If both sides of Eq. 128) are equated to a constant of separation n2, then Eq. 128) can then be separated into three equations for each ordinate as follows.
118) The solutions to Eqs. 118) are XðxÞ ¼ Xþ eÀjkx x þ XÀ e jkx x ; YðyÞ ¼ Yþ eÀjky y þ YÀ e jky y ; and ZðzÞ ¼ Zþ eÀjkz z þ ZÀ e jkz z respectively so that the solution to Eq. 10 CYLINDRICAL COORDINATES In problems where there is axial symmetry, cylindrical coordinates are often useful, as shown in Fig. 16. We shall use these for planar circular radiators. In the xy plane of the rectangular coordinate 56 CHAPTER 2 The wave equation and solutions z P(w,φ ,z) z y w φ x 0 FIG. 16 Cylindrical coordinates.
Acoustics: Sound Fields and Transducers by Leo L. Beranek, Tim Mellow