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A simple approximate formula for the physical focal length of spherically focused transducers
A simple approximate formula is presented to describe the relationship between the physical focal lengths and the geometric focal lengths of spherically focused transducers with ultrasonic fields. This simple expression applies regardless of whether the focus strength is strong or weak, and regardle...
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| Published in: | IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2009-12, Vol.56 (12), p.2764-2768 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c405t-4b3bd9e09be02b01ff36e550a43951e5f07ae4754558c1068151395356b0a3ad3 |
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| cites | cdi_FETCH-LOGICAL-c405t-4b3bd9e09be02b01ff36e550a43951e5f07ae4754558c1068151395356b0a3ad3 |
| container_end_page | 2768 |
| container_issue | 12 |
| container_start_page | 2764 |
| container_title | IEEE transactions on ultrasonics, ferroelectrics, and frequency control |
| container_volume | 56 |
| creator | Huang, J.H. Desheng Ding |
| description | A simple approximate formula is presented to describe the relationship between the physical focal lengths and the geometric focal lengths of spherically focused transducers with ultrasonic fields. This simple expression applies regardless of whether the focus strength is strong or weak, and regardless of whether the fluids are non-attenuating or attenuating. Analysis results show that the average error of the simple approximate formula is certainly less than 2% relative to the numerical solution. |
| doi_str_mv | 10.1109/TUFFC.2009.1368 |
| format | article |
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This simple expression applies regardless of whether the focus strength is strong or weak, and regardless of whether the fluids are non-attenuating or attenuating. 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Analysis results show that the average error of the simple approximate formula is certainly less than 2% relative to the numerical solution.</description><subject>Acoustic beams</subject><subject>Acoustic propagation</subject><subject>Acoustic transducers</subject><subject>Acoustical engineering</subject><subject>Acoustics</subject><subject>Algorithms</subject><subject>Apertures</subject><subject>Approximation</subject><subject>Attenuation</subject><subject>Computational fluid dynamics</subject><subject>Computer Simulation</subject><subject>Computer-Aided Design</subject><subject>Distribution functions</subject><subject>Equations</subject><subject>Equipment Design</subject><subject>Equipment Failure Analysis</subject><subject>Error analysis</subject><subject>Exact sciences and technology</subject><subject>Ferroelectric materials</subject><subject>Fluid flow</subject><subject>Frequency</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mathematical models</subject><subject>Models, Theoretical</subject><subject>Physics</subject><subject>Reproducibility of Results</subject><subject>Scattering, Radiation</subject><subject>Sensitivity and Specificity</subject><subject>Transducers</subject><subject>Transduction; acoustical devices for the generation and reproduction of sound</subject><subject>Ultrasonography - instrumentation</subject><subject>Vibrations</subject><issn>0885-3010</issn><issn>1525-8955</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkc1r3DAQxUVJaTYf5x4KxQRCTt6MLI0lHcOSTQqBXpJjEbI97jrYa0eyofvfV85uU8gllxmY95uBeY-xrxyWnIO5fnxar1fLDMAsucj1J7bgmGGqDeIRW4DWmArgcMxOQngG4FKa7As7jgsSJJcL9usmCU03tJS4YfD9n6ZzIyV177updXNPxg0lw2YXmtK1cTDXlra_x03S10kYNuRnpd3N2hSoSkbvtqGaSvLhjH2uXRvo_NBP2dP69nF1nz78vPuxunlISwk4prIQRWUITEGQFcDrWuSECE4Kg5ywBuVIKpSIuuSQa448KgLzApxwlThlV_u78YWXicJouyaU1LZuS_0UrOZaR3sk_5BUInJK5SqSF-_I537y2_iG1ahzk2cij9D1Hip9H4Kn2g4-Wuh3loOdE7KvCdk5ITsnFDe-H85ORUfVG_8vkghcHgAXorF1dLNswn8uy0AZBZH7tucaInqTUYBCMOIvQtiglA</recordid><startdate>20091201</startdate><enddate>20091201</enddate><creator>Huang, J.H.</creator><creator>Desheng Ding</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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This simple expression applies regardless of whether the focus strength is strong or weak, and regardless of whether the fluids are non-attenuating or attenuating. Analysis results show that the average error of the simple approximate formula is certainly less than 2% relative to the numerical solution.</abstract><cop>New York, NY</cop><pub>IEEE</pub><pmid>20040414</pmid><doi>10.1109/TUFFC.2009.1368</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0885-3010 |
| ispartof | IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 2009-12, Vol.56 (12), p.2764-2768 |
| issn | 0885-3010 1525-8955 |
| language | eng |
| recordid | cdi_pubmed_primary_20040414 |
| source | IEEE Electronic Library (IEL) Journals |
| subjects | Acoustic beams Acoustic propagation Acoustic transducers Acoustical engineering Acoustics Algorithms Apertures Approximation Attenuation Computational fluid dynamics Computer Simulation Computer-Aided Design Distribution functions Equations Equipment Design Equipment Failure Analysis Error analysis Exact sciences and technology Ferroelectric materials Fluid flow Frequency Fundamental areas of phenomenology (including applications) Mathematical models Models, Theoretical Physics Reproducibility of Results Scattering, Radiation Sensitivity and Specificity Transducers Transduction acoustical devices for the generation and reproduction of sound Ultrasonography - instrumentation Vibrations |
| title | A simple approximate formula for the physical focal length of spherically focused transducers |
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