Introduction to Sonar Transducer Design. John C. Cochran

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1.6‐4 Geometry of line source illustrating far field approximation.Figure 1.6‐5 Geometry for radiation from a finite cylinder.Figure 1.7‐1 A linear aperture geometry for determining the far field direct...Figure 1.7-2 Example of beam pattern for a linear aperture showing the main ...Figure 1.7-3 Geometry for a linear aperture with a rectangular aperture func...Figure 1.7-4 Normalized beam patterns for a linear aperture with a rectangul...Figure 1.7-5 A linear rectangular aperture function.Figure 1.7-6 Normalized beam patterns for a linear aperture with a rectangul...Figure 1.7-7 A cosine aperture function.Figure 1.7-8 Normalized beam patterns for a cosine aperture function.Figure 1.7-9 Geometry for the beam pattern of a linear source on a cylindric...Figure 1.7-10 Beam pattern for source on a cylindrical surface.Figure 1.8-1 Geometry for radiation into a half‐space.Figure 1.8-2 Geometry for radiation into a half‐space.Figure 1.8-3 Geometry for far field radiation from a rectangular piston in a...Figure 1.8-4 Geometry for far field radiation from a circular piston in an i...Figure 1.8-5 Normalized beam patterns for a circular piston aperture in an i...Figure 1.8-6 Circular annular piston geometry.Figure 1.8-7 Beam patterns for a circular annular piston in an infinite baff...Figure 1.8-8 Elliptical piston coordinate system.Figure 1.8-9 Beam patterns for an elliptical piston in an infinite baffle wi...Figure 1.8-10 The impact of a baffle impedance can be determined by examinin...Figure 1.8-11 (Top) −3 dB beamwidth vs. kL/2 for a linear aperture and (bott...Figure 1.9-1 Geometry of an aperture and beam pattern showing the main respo...Figure 1.9-2 Beam pattern and geometry for a circular piston aperture in an ...Figure 1.9-3 The directivity index (DI) for a circular piston aperture in an...Figure 1.9-4 Geometry for determining the directivity index of a linear aper...Figure 1.9-5 Directivity Index (DI) for a linear aperture with a high‐freque...Figure 1.10-1 The geometry for scattering and diffraction around a rigid cyl...Figure 1.10-2 Scattered wave beam pattern from a rigid cylinder for differen...Figure 1.10-3 Diffraction constant for rigid cylinder vs. ka.Figure 1.10‐4 Diffraction constant for a strip on a rigid cylinder vs. ka.Figure 1.10‐5 The geometry for scattering and diffraction around a cylinder....Figure 1.10-6 Diffraction constant for a cylinder vs. ka with variable bound...Figure 1.10-7 Beam patterns for diffraction around a cylinder vs. ka with va...Figure 1.10-8 The geometry for scattering and diffraction around a sphere.Figure 1.10-9 Diffraction constant for a rigid sphere vs. ka.Figure 1.10-10 The geometry for scattering and diffraction around a thin rin...Figure 1.11-1 Impedance using Hilbert transform ka.Figure 1.11-2 The geometry for radiation impedance between two bodies.Figure 1.11-3 Radiation impedance of a spherical radiator of radius a.Figure 1.11-4 Geometry for radiation from a circular piston in an infinite, ...Figure 1.11-5 Radiation impedance of a circular piston of radius a in a baff...Figure 1.11-6 Equivalent circuit for the radiation impedance from a circular...Figure 1.11-7 Radiation impedance of a circular piston of radius a at the en...Figure 1.11-8 Geometry for radiation from a rectangular piston in a baffle....Figure 1.11-9 Radiation resistance and reactance for a rectangular piston in...Figure 1.11-10 Radiation impedance of an infinite strip of width w in a baff...Figure 1.11-11 Radiation impedance of an annular piston radiator in a baffle...Figure 1.11-12 Radiation resistance of an elliptical piston radiator in a ba...Figure 1.11-13 Radiation impedance per unit length for an infinitely long cy...Figure 1.11-14 Geometry of a finite cylindrical radiator in a baffle.Figure 1.11-15 Radiation impedance of a finite cylinder in a baffle.Figure 1.11-16 The geometry of two spheres illustrating mutual radiation imp...Figure 1.11-17 Mutual radiation resistance and reactance for two identical s...Figure 1.11-18 The geometry of two circular piston radiators located in a ba...Figure 1.11-19 Mutual radiation resistance and reactance for two identical p...Figure 1.11-20 Mutual radiation resistance and reactance for two identical p...Figure 1.11-21 Geometry for the mutual radiation impedance for two identical...Figure 1.11-22 Mutual radiation resistance and reactance for two identical s...Figure 1.11-23 Geometry for a disk with an annular piston.Figure 1.11-24 Mutual radiation resistance and reactance between an inner ci...Figure 1.11-25 Geometry for mutual impedance between rectangular pistons on ...Figure 1.11-26 Normalized mutual radiation impedance between two square pist...Figure 1.11-27 Geometry for mutual impedance between bands on a cylinder.Figure 1.11-28 Normalized mutual radiation impedance between two bands on a ...Figure 1.12-1 Geometry for plane wave reflection and transmission at a bound...Figure 1.12-2 T‐Network equivalent for input impedance at a point x = −l fro...Figure 1.12-3 Geometry for acoustic transmission at multiple boundaries.Figure 1.12-4 Geometry showing oblique reflection and transmission at a boun...Figure 1.12-5 Geometry illustrating the angle of complete reflection and zer...Figure 1.13-1 Attenuation coefficient for sound in the ocean vs. frequency a...

      2 Chapter 2Figure 2.2‐1 Mechanical spring‐mass system.Figure 2.2‐2 Mechanical spring‐mass system with losses.Figure 2.2‐3 Behavior of a damped oscillator with Q m = 10, ω o = 1...Figure 2.2‐4 Mechanical spring‐mass system with losses.Figure 2.2‐5 Spring‐mass system output power vs. frequency.Figure 2.2‐6 Equivalent electrical analog for a spring‐mass system.Figure 2.2‐7 Generators using the mobility and impedance models.Figure 2.2‐8 Series elements in impedance analog.Figure 2.2‐9 Series elements in mobility analog.Figure 2.2‐10 Parallel elements in mobility analog.Figure 2.2‐11 Mechanical spring‐mass system with losses.Figure 2.2‐12 Mechanical spring‐mass system mobility equivalent circuit.Figure 2.2‐13 Mechanical spring‐mass system with losses.Figure 2.2‐14 Mobility equivalent circuit for the mechanical spring‐mass sys...Figure 2.2‐15 Equivalent circuit demonstrating the use of a gyrator.Figure 2.2‐16 Mobility equivalent circuit

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