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Paper Abstract and Keywords
Presentation 2011-01-20 11:30
Second Harmonic Component in Focused Gaussian Beam Transmitting through a Layer with Nonuniformly Distributed Sound-Speed
Shigemi Saito (Tokai Univ.) US2010-95
Abstract (in Japanese) (See Japanese page) 
(in English) A method to measure automatically and display two-dimensionally the nonlinearity parameter B/A in the biological sample inserted in the focal region of the focused Gaussian beam in water has previously been presented. Although the nonuniformity of B/A in the sample was then observed, the measured B/A is not fully reliable because the measuring principle assumes uniform samples. In this article, the fundamental and second harmonic components in the focused sound transmitting through the layer of the medium with a monotonous sound-speed variance in one direction are analyzed and the influence on the B/A measurement is investigated. The Khokhlov-Zabolotskaya equation including the small perturbation due to a slightly nonuniform sound-speed is solved with the successive approximation. As a result, it is clarified that the sound pressure induced by the perturbation does not affect the received signal in principle in the case of the variance normal to the acoustic axis. On the other hand, in the case of axial variance, it is shown that the amplitude of the second harmonic slightly differs from that defined by the average sound-speed. Then the measurement error of the nonlinearity coefficient b is generated by the rate less than 1.8 times the axial change-rate in sound-speed within the layer.
Keyword (in Japanese) (See Japanese page) 
(in English) Focused Sound / Nonlinear Propagation / Second Harmonic / Nonuniform Medium / Successive Approximation / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 366, US2010-95, pp. 19-24, Jan. 2011.
Paper # US2010-95 
Date of Issue 2011-01-13 (US) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee EA US  
Conference Date 2011-01-20 - 2011-01-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Doshisha Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) [Joint Meeting on Acoustics and Ultrasonics Subsociety] Engineering/Electro Acoustics, Ultrasonic and Underwater Acoustics,and Related Topics 
Paper Information
Registration To US 
Conference Code 2011-01-EA-US 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Second Harmonic Component in Focused Gaussian Beam Transmitting through a Layer with Nonuniformly Distributed Sound-Speed 
Sub Title (in English)  
Keyword(1) Focused Sound  
Keyword(2) Nonlinear Propagation  
Keyword(3) Second Harmonic  
Keyword(4) Nonuniform Medium  
Keyword(5) Successive Approximation  
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1st Author's Name Shigemi Saito  
1st Author's Affiliation Tokai University (Tokai Univ.)
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Speaker Author-1 
Date Time 2011-01-20 11:30:00 
Presentation Time 30 minutes 
Registration for US 
Paper # US2010-95 
Volume (vol) vol.110 
Number (no) no.366 
Page pp.19-24 
#Pages
Date of Issue 2011-01-13 (US) 


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