2 edition of **Wave propagation in periodic structures** found in the catalog.

Wave propagation in periodic structures

Le on Brillouin

- 167 Want to read
- 29 Currently reading

Published
**1953** by Dover in New York .

Written in English

**Edition Notes**

Statement | L. Brillouin. |

The Physical Object | |
---|---|

Pagination | 255p. |

Number of Pages | 255 |

ID Numbers | |

Open Library | OL13952688M |

The mechanical bias is due to Coriolis forces Beli et alwhich are responsible for breaking reciprocity Onsager a. We show that reciprocity is broken when a spatiotemporal modulation of the material properties of the structure, i. The new model recovers the classical elasticity-based model when microstructure effects are suppressed. The stop band regions can be tailored to correspond to regions of the frequency spectra that contain harmonics of the wave frequency, attenuating the response in those regions. Antennas, P.

Essential Components of a Wave. Six months later, he resigned and went to the United States. In mathematics and electronics waves are studied as signals. Modeling Guidelines for Wave Propagation Problems.

Eleftheriades, G. Spectral Analysis of Motion. The behavior of spatial-only periodic structures can be fully characterized by studying a single unit cell, which represents the building block of the structure BrillouinKittel We numerically verify the theoretical predictions by using a finite element model of the modulated beams to compute the transient response of the structure. The stop band regions can be tailored to correspond to regions of the frequency spectra that contain harmonics of the wave frequency, attenuating the response in those regions.

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Kong, Refraction laws for anisotropic media and their application to left-handed metamaterials. There is also an interesting chapter on wave propagation in uncertain wave guides using Monte Carlo simulations. Organization and Scope of the Book.

B 75, CrossRef Google Scholar Wave Propagation in Laminated Composites. He has conducted research in a variety of areas in mechanics and materials and has authored journal papers, 3 book chapters, and conference publications. Theory of Gradient Elasticity.

Wave Propagation in Periodic Waveguides. Chen, B. This approach also allows us to obtain approximate analytical relationships between the modulation parameters and the position and width of the directional band gaps for the simple case of harmonic modulation.

Additionally, a complex periodic medium consisting of multiple dielectric layers in a unit cell period will also be studied using two approaches: the Fourier-method and the modal-transmission-line method. In the former approach, the electric and magnetic fields are expressed in terms of a Fourier series expansion.

His publications have received over citations, with an h-index of 36 and an iindex of 86 Google Scholar. Jackson, Classical Electrodynamics, 3rd edn. The last chapters cover very recent research topics in electromagnetics and optics.

Theory of Hyperelasticity. The mechanical bias is due to Coriolis forces Beli et alwhich are responsible for breaking reciprocity Onsager a. Solution Methods for Finite Element Method.

A perturbation approach is employed to obtain the first three harmonics of the wave function, under the assumption that the amplitude of modulation V1 of the potential energy is small. Wave Propagation in Tapered Waveguides.

Hedge, E. Energy Theorems. A passive approach to reduce transmitted vibration generated by waves is presented.

Wave Propagation in Porous Beams. Results are presented and discussed in section 3 for both longitudinal and transverse motion. Some, like the probability waves of quantum mechanicsmay be completely static. The theory governing the operation of this class of periodic structures is introduced using the transfer matrix method.Relative performance of different strategies for wave attenuation by periodic structures D.

arryl McMahon. Curtin University, Centre for Marine Science and Technology, Bentley, WAAustralia. ABSTRACT. For a periodic structure of symmetric scatterers, such as. Wave Propagation in Periodic Structures by Leon Brillouin, L. Brillouin Hardcover Book, Wave propagation in periodic structures book Description Classic treatment of wave propagation covers a broad variety of problems with a common mathematical background: solid state physics, X-rays, certain optical reflections, electrical engineering, more illustrations.

edition. The propagation characteristics of flexural waves in a two-dimensional (2D) periodic grid-like structure are analysed with the plane wave expansion method to yield phase constant surfaces, which.Free wave propagation patterns for general three-coupled periodic structures are investigated by pdf of pdf transfer matrix approach.

It is shown that an exhaustive description of the propagation domains requires spaces that are stratified in homogeneous regions, whose dimension is given by the number of invariants of the transfer matrix characteristic equation and whose boundaries are Cited by: 9.Aug 24, · We study wave propagation properties in time-spatial periodic structures by computing and analyzing band diagrams for download pdf structures.

The approach followed in this work exploits the periodic nature of the considered modulation of the material properties functions and. Both are periodic in the variables x and t with periodicity and T m Cited by: Brillouin, L. (). Wave Propagationin Periodic Structures (McGraw-Hill Book Ebook, Inc., New York).pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily.