Abstract

Transmission-line matrix modeling (TLM) provides a simulation approach to the wave propagation for which the Huygens’ principle is discretely realized on computer. The TLM modeling is primarily developed for the electromagnetic wave propagation simulation in time domain and its application has been widely practiced. The application to acoustic field problems is the easy extension as it is of scalar field, while the elastic wave is of vectorial field like the electromagnetic wave so that a special TLM node must be developed. The formulation of the elastic wave problems are well established, which can be expressed in terms of the two separate potential waves. The two waves can independently be present, whereas is experienced in seismic wave observation, the elastic wave consists of the longitudinal and shear waves. They, however, couple at the boundaries to satisfy the boundary condition at which mode conversion is said to take place. The present paper proposes the two potential wave approach. The two scalar waves using simple regular TLM nodes are simulated to propagate independently under the boundary conditions which should properly be devised. The expression is discussed for a two-dimensional homogeneous elastic field and some examples are demonstrated, compared with the solutions of another approach, such as the finite difference.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.