Bulk Acoustic Wave Theory and Devices The Adech House Acoustics Library Fennick, John L., Quality Measures and the Design of Kleppe, John A., Engineering Applications of Acoustics Rosenbaum, Joel, Bulk Acoustic Wave Theory and Devices Rossi, Mario, Acoustics and Electroacoustics Telecommunications Systems Bulk Acoustic Wave Theory and Devices by Joel F. Rosenbaum Artech House Boston London Library of Congress Cataloging-in-Publication Data Rosenbaum, Joel, 1945 Dec. 9- Bulk acoustic wave theory and devices / Joel Rosenbaum. p. cm. Bibliography: p. Includes index. 1. Acoustic surface wave devices. 2. Acousto-optical devices. I. Title. TK5981.R64 1988 ISBN 0-89006-265-X 621.38’0412 - dc19 88-6324 Copyright @ 1988 ARTECH HOUSE, INC. 685 Canton Street Norwood, MA 02062 All rights reserved. Printed and bound in the United States of America. No part of this book may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any infor- mation storage and retrieval system, without permission in writing from the publisher. International Standard Book Number: 0-89006-265-X Library of Congress Catalog Card Number: 10 9 8 7 6 5 4 3 2 1 88-6324 &I Artech House, Inc. BOSTON LONDON 685 Canton Street Norwood. MA 02062 USA 781.769.9750 781.769.6334 FAX www.artech house.com artech@artechhouse.com February 16,2000 Joel Rosenbaum 701 1 96‘h Avenue Seabrook, MD 20706 Dear Mr. Rosenbaum, Enclosed please find your copy of the Reversion of Copyright and Licensing Agreement for your book “Bulk Acoustic Waves: Theory and Devices.” Please countersign the Licensing Agreement and return to Artech for our records. If you have any questions or concerns, please contact Mark Walsh, Senior Acquisitions Editor, at mwalsh@artechhouse.com or the number listed above. Kind regards, 6ssica McBride Editorial Assistant, Acquisitions Enc: Lic. Agreement (2) Reversion of Copyright (1) Dr. John Vig UFFC-s Dear Dr. Vig, I have enclosed the copyright agreement that I received, signed and returned to the publisher (Artech). As per your e-mail of 21-Jan I understand that I must give formal permission in writing. So how about this: I hereby give formal permission to reproduce the book "Bulk Acoustics Waves: Theory and Devices" Artech House 1988. Hope that is sufficient. Sincerely, P oel Rosenbaum P.S. sorry for the long delay; it took longer than I expected to get an answer from the publisher and then the paperwork got misplaced on my desk. REVERSION OF COPYRIGHT TO AUTHOR Assignment made this 7th dav of Februarv, 2000, by and between Artech House, Inc., a Massachusetts corporation with a usual place of business at 685 Canton St., Nonvood, Massachusetts 02062, hereinafter referred to as the " Assignor," and Joel Rosenbaum whose address is 701 1 96" Avenue. 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J,lP(T> - Social Security Number (if applicable) [...]... in the direction of wave propagation (a longitudinal wave) In the three-dimensional system, we will see that there are, in general, three possible acoustic polarizations Because the phase velocity of an electromagnetic wave is from four to six orders of magnitude greater than that of an acoustic wave, the presence of boundaries plays a much more significant role On the other hand, acoustic propagation... term tends to equalize these opposite stresses and thus reduces the energy in the wave For a constant phase velocity, the peaks and valleys of the wave are closer together at higher acoustic frequencies, making it easier to extract energy from the wave; for constant frequency, a lower velocity implies a smaller wavelength, which also pushes the peaks and valleys closer to one another We thus expect... units Wlm2 and f (E x H) is a scalar, but E x H is a vector with (E x H) - ds closed area is the power in watts crossing the closed surface For complex fields in an isotropic medium: H where and = Ho eJ%, and BH are unit vectors in the directions of E and H, respectively, and the Poynting vector is (because E and H are orthogonal) 1 P=-EoHo 2 (1.26) Furthermore the E and H fields are in phase and related... called the extraordinary mode Understanding the structure of the acoustic xi xii modes provides important insights into the optic case Likewise, knowledge of wideband low-Q operation leads naturally to narrowband (high-Q resonator) operation, thickness excitation to lateral field excitation, and electro-optic perturbation to the photoelastic effect The narrowbandwideband analogue is especially interesting... 10 and 11)** 1 1 1 optics and piezoelectricity acousto-optics (Chapter 4)** (Chapters 7 and 8) 1 acousto-optic interaction (Chapter 9)** + thickness and lateral field coupling constants; single- and double-rotated cuts (Chapters 4 and 11)** **Indicates computer program listing In ths light, the book forms a “closed-loop system,” with the application sections reinforcing concepts developed in the theory. .. equivalent circuit of acoustic resonator with and without metalization (Chapter 11) 4 Determination of electrical characteristics of composite resonator structure, including film bulk and high overtone acoustic resonators (Chapter 11) The programs are written in True BASIC language (version 2.0) with listing of the eigenvalue and Mason model programs included in detail in Chapters 3 and 6 The other programs... provide a valuable learning tool that complements the theory and adds a level of excitement and discovery to a theory that, admittedly, tends to be at times a bit dry All of the figures in the text that involve physical parameters were drawn with these programs on a HP plotter The field of crystal acoustics and its applications is still evolving; the best (and probably only) way to test new device structures... stresses results in the propagation of an acoustic wave with its propagation velocity dependent on the material properties of the body Attenuation, material quality factor Q, and the energy relations are more easily handled in one dimension and can be extended to three dimensions if necessary The strain and stress matrices are formulated in three dimensions, and rotational transformations, which will... (1.4), (1.6), (1.7), and (1.8) allow us to solve for the four variables T , S,v , and U As.for Maxwell’s equations, there are two fundamental physical laws, (1.4) and (1.6), and two constitutive equations, (1.7) and (1.8) In the static case, the gradient of the stress is zero, just as in electrostatics where V x E = 0 From (1.6) and (1.7): Differentiating S = au/az with respect to t and using (1,8), we... Rotated Cuts CHAPTER 5 ELECTRICAL CHARACERIZATION OF WIDEBAND ACOUSTIC DEVICES 5.1 Introduction 5.2 One-Dimensional Equations for a Nonpiezoelectric Slab 5.3 One-Dimensional Equations for a Piezoelectric Slab 5.4 Closed-Form Expression for the Input Impedance 5.5 Input Impedance Examples CHAPTER 6 COMPUTER-AIDED ANALYSIS AND DESIGN OF WIDEBAND ACOUSTIC DEVICES 6.1 Introduction 6.2 The Smith Chart 6.3 Return . Acoustics Rosenbaum, Joel, Bulk Acoustic Wave Theory and Devices Rossi, Mario, Acoustics and Electroacoustics Telecommunications Systems Bulk Acoustic Wave Theory and Devices by Joel F Joel, 1945 Dec. 9- Bulk acoustic wave theory and devices / Joel Rosenbaum. p. cm. Bibliography: p. Includes index. 1. Acoustic surface wave devices. 2. Acousto-optical devices. I. Title Bulk Acoustic Wave Theory and Devices The Adech House Acoustics Library Fennick, John L., Quality Measures and the Design of Kleppe, John A., Engineering Applications of Acoustics