Nonlinear acoustics in the presence of an object with sum or difference frequency sensing
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2017.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2017
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| Online Access: | http://hdl.handle.net/1721.1/109022 |
| _version_ | 1826200892931571712 |
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| author | Zhang, Wenjun, Ph. D. Massachusetts Institute of Technology |
| author2 | Nicholas C. Makris |
| author_facet | Nicholas C. Makris Zhang, Wenjun, Ph. D. Massachusetts Institute of Technology |
| author_sort | Zhang, Wenjun, Ph. D. Massachusetts Institute of Technology |
| collection | MIT |
| description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2017. |
| first_indexed | 2024-09-23T11:43:04Z |
| format | Thesis |
| id | mit-1721.1/109022 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T11:43:04Z |
| publishDate | 2017 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1090222019-04-12T14:46:59Z Nonlinear acoustics in the presence of an object with sum or difference frequency sensing Zhang, Wenjun, Ph. D. Massachusetts Institute of Technology Nicholas C. Makris Massachusetts Institute of Technology. Department of Mechanical Engineering. Massachusetts Institute of Technology. Department of Mechanical Engineering. Mechanical Engineering. Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2017. Cataloged from PDF version of thesis. Includes bibliographical references (pages 146-149). A general and complete second-order theory of nonlinear acoustics in the presence of an object is derived and shown to be consistent with experimental measurements. The total second-order field occurs at sum or difference frequencies of the primary fields and naturally breaks into (A) nonlinear waves generated by wave-wave interactions, and (B) second-order scattered waves that include the effect of centriodal motion of the object driven by a complete second-order wave-exciting force. Analytic expressions for second-order fields due to combinations of planar and spherical wave-wave interactions are derived. Wave-wave interactions are analytically shown to always dominate the total second-order field at sufficiently large range and carry only primary frequency response information about the object. As range decreases, the dominant mechanism is shown to vary with object size, boundary condition, and frequencies making it sometimes possible for sum or difference frequency response information about the object to be measured from second-order fields. Unique opportunities arise for nonlinear sum or difference frequency sensing that differ substantially from traditional sensing by linear scattering. Analytic proof shows that there is no scattering of sound by sound outside the region of compact support intersection of finite-duration plane waves at sum or difference frequencies, to second-order. by Wenjun Zhang. Ph. D. 2017-05-11T20:03:45Z 2017-05-11T20:03:45Z 2017 2017 Thesis http://hdl.handle.net/1721.1/109022 986241824 eng MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582 149 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering. Zhang, Wenjun, Ph. D. Massachusetts Institute of Technology Nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| title | Nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| title_full | Nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| title_fullStr | Nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| title_full_unstemmed | Nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| title_short | Nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| title_sort | nonlinear acoustics in the presence of an object with sum or difference frequency sensing |
| topic | Mechanical Engineering. |
| url | http://hdl.handle.net/1721.1/109022 |
| work_keys_str_mv | AT zhangwenjunphdmassachusettsinstituteoftechnology nonlinearacousticsinthepresenceofanobjectwithsumordifferencefrequencysensing |