Generalised relations between P- and Y-matrices and their applications

The Journal of Engineering

Jaime Octavio Guerra-Pulido¹  Pablo Roberto Pérez-Alcázar¹ 

[1] Electronics department, School of Engineering, National Autonomous University of Mexico (UNAM), Av. Universidad 3000, Ciudad Universitaria, Coyoacán, DF, México

关键词: electrical port;    input admittance;    generalised relations;    IDT;    electronic device;    SAW system;    interdigital transducer;    electric device;    acoustic relations;    Y-matrix;    nonelectrical elements;    inductor;    SAW device;    frequency response;    surface acoustic wave element;    N electrical terminal;    acoustic ports;    N voltage sources;    P-matrix;    SAW elements;   

DOI  :  10.1049/joe.2014.0215

学科分类：工程和技术（综合）

来源: IET

【 摘 要 】

The P -matrix is commonly used to analyse surface acoustic waves (SAW) elements such as the interdigital transducer (IDT) but, when some IDTs are connected through their acoustic ports, their frequency response could be calculated easily in terms of their admittances. Instead of the P -matrix, Y -matrix also allows coupling of the system to another electric or electronic device. Here, the authors present a general method to obtain the Y -matrix (with size N × N) of a SAW device with N electrical terminals connected to N different voltage sources. This method considers the reflections from the edges or any other non-electrical elements that can cause reflections beyond P -matrices. In addition, it has been shown that when there are no reflections and there are two P -matrices, this method converges to well-known previous results. Furthermore, the authors present two cases that could be used to analyse a SAW device: the input admittance and the equivalent P -matrix for a SAW device when a Y -matrix is connected to the electrical port of the SAW device. Also, the authors have calculated the acoustic relations for two SAW devices connected through their electric ports. Furthermore, these methods are exemplified through their application to a SAW system composed of three different IDTs and to an IDT and an inductor connected to its electrical port.

【 授权许可】

CC BY