Understanding Plane Waves

Understanding Plane Waves discusses the acoustic Goos-Hänchen effect, its applications, and a newly developed acoustic-measurement system. It also examines three approaches to analyzing the evolution of plane waves in a nonlinear hyperelastic medium and the interaction of relativistic quantum particles with classical plane wave fields.

Format: Hardback
Length: 232 pages
Publication date: 20 February 2020
Publisher: Nova Science Publishers Inc

Understanding Plane Waves is a groundbreaking theoretical breakthrough that delves into the enigmatic acoustic Goos-Hänchen effect. This effect finds profound applications in diverse fields, such as the propagation of plane waves within transversely isotropic elastic solids, the reflection/refraction at interfaces between two anisotropic rocks, and its utilization in petroleum logging and seismic exploration. In the subsequent chapters, the authors embark on an exploration of a newly developed acoustic-measurement system, focusing on the intricate measurement process and recent advancements that have significantly enhanced the accuracy of acoustic measurements.

To analyze the evolution of plane longitudinal and transverse waves propagated in a nonlinear hyperelastic medium, three distinct approaches are discussed. The first approach involves the method of successive approximations, wherein the waves are gradually approximated using simpler forms until a convergent solution is obtained. The second approach employs the method of slowly varying amplitudes, where the amplitudes of the waves are allowed to vary over time to capture the complex behavior of the medium. Lastly, the third approach involves the restriction on the displacement gradient, which imposes constraints on the rate of change of the displacement field to ensure stability and accuracy in the numerical simulations.

Furthermore, the book delves into the captivating realm of relativistic quantum particles interacting with classical plane wave fields. By examining these interactions from the perspective of space-time symmetries, which have been discovered to be encoded in the solutions of relativistic equations, the authors shed light on the intricate interplay between the microscopic and macroscopic worlds. This exploration provides a deeper understanding of the complex dynamics that govern the behavior of matter and energy at the atomic and subatomic scales.

In conclusion, Understanding Plane Waves is a comprehensive and authoritative text that offers a profound exploration of the acoustic Goos-Hänchen effect and its numerous applications. Through detailed discussions, cutting-edge research, and insightful analysis, the book provides a valuable resource for researchers, engineers, and students in the fields of acoustics, physics, and applied mathematics. Its contributions to the understanding of wave propagation and the interactions between classical and quantum phenomena are invaluable, and it will undoubtedly inspire future advancements in these fields.

Weight: 482g
Dimension: 161 x 239 x 20 (mm)
ISBN-13: 9781536167795