Skip to Content
Ultrasonics, 3rd Edition
book

Ultrasonics, 3rd Edition

by Dale Ensminger, Leonard J. Bond
September 2011
Intermediate to advanced
765 pages
24h 40m
English
CRC Press
Content preview from Ultrasonics, 3rd Edition

2.10.1    ATTENUATION DUE TO BEAM SPREADING

If a spherical wave front of uniform intensity (Figure 2.27) suffers no loss in traveling from its source, the total energy (PT) at each spherical surface of total area S at distance r from the center of the source is always

PT=IrSr

where Ir is the intensity at distance r and Sr is the total area of a sphere or segment of the sphere through which the total energy PT passes.

The area of a sphere is 4πr2. Let r1 and r2 correspond to the radii of two concentric spheres containing a point source at their centers radiating a total energy PT. If there are no losses, the total energy passing through S1 corresponding to r1 is equal to that through S2 corresponding to r2. From Equation 2.104

PT=I1S1=

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Ultrasonics, 4th Edition

Ultrasonics, 4th Edition

Dale Ensminger, Leonard J. Bond
Applied Electro-Optics

Applied Electro-Optics

Louis Desmarais
Power Ultrasonics

Power Ultrasonics

Juan A. Gallego-Juarez, Karl F. Graff

Publisher Resources

ISBN: 9781420020274