scholarly journals MODAL EXPANSION FOR THE 2D GREEN'S FUNCTION IN A NON-ORTHOGONAL COORDINATES SYSTEM

2006 ◽  
Vol 59 ◽  
pp. 101-112 ◽  
Author(s):  
J. P. Plumey ◽  
K. Edee ◽  
Gerard Granet
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Modal Expansion ◽  
Orthogonal Coordinates

Closed-Form Transient Response of Distributed Damped Systems, Part I: Modal Analysis and Green’s Function Formula

1996 ◽  
Vol 63 (4) ◽  
pp. 997-1003 ◽  
Author(s):  
Bingen Yang
Keyword(s):  
Green’S Function ◽  
Modal Analysis ◽  
Closed Form ◽  
Distributed System ◽  
Transient Response ◽  
Green's Function ◽  
Eigenfunction Expansion ◽  
Distributed Parameter ◽  
Modal Expansion ◽  
Damped Systems

An analytical method is developed for closed-form estimation of the transient response of complex distributed parameter systems that are nonproportionally damped, and subject to arbitrary external, initial, and boundary excitations. A new modal analysis leads to the Green’s function formula for the distributed system and an eigenfunction expansion of the system Green’s function. The legitimacy of the modal expansion is also shown.

A modal solution for reflection and transmission at a Chiral–Chiral interface

2005 ◽  
Vol 83 (12) ◽  
pp. 1267-1290 ◽  
Author(s):  
P E Crittenden ◽  
E Bahar
Keyword(s):  
Green’S Function ◽  
Electromagnetic Fields ◽  
Green's Function ◽  
Fourier Transforms ◽  
Modal Expansion ◽  
Function Solution ◽  
Flat Interface ◽  
Polarized Waves ◽  
Chiral Materials ◽  
Modal Solution

A harmonic Green's function solution for a magnetic line source above and below a flat interface between two chiral materials is derived. The solution is expressed in terms of the characteristic right and left circularly polarized waves. The harmonic Green's function formulation is converted into a modal representation. The modal representation is suitable for the complete expansion of the electromagnetic fields above and below a rough interface between two chiral materials with laterally varying material properties. The modal expansion is written in terms of orthogonal-basis and reciprocal-basis functions, which have been used to formulate generalized Fourier transforms and derive the generalized telegraphists' equations for electromagnetic fields in irregular chiral media.PACS Nos.: 33.55.Ad, 78.20.Ek

scholarly journals Computational sound field in a virtual environment via field data in an arbitrary real environment

2019 ◽  
Vol 283 ◽  
pp. 04006
Author(s):  
Xiaolei Li ◽  
Dazhi Gao ◽  
Ning Wang
Keyword(s):  
Green’S Function ◽  
Virtual Environment ◽  
Green's Function ◽  
Free Space ◽  
Response Curve ◽  
Field Data ◽  
Sound Field ◽  
Reciprocity Theorem ◽  
Modal Expansion ◽  
The Relationship

It is useful to compute sound field of a source in a virtual environment which is different from the measurement environment. For example, some properties of sound source, such as directivity index and frequency response curve, are required to be measured in an anechoic room or free space, but both of them cannot be always accessible. Consequently, it will be useful to compute sound field of a source in free space when sound field of the source is not measured in the free space. In the aforementioned example, the free space is a virtual environment. Based on reciprocity theorem and modal expansion, a method to predict sound field of a source in a virtual environment is given in this paper when the scattering effect of the source can be neglected. Reciprocity theorem builds the relationship between measured sound field and predicted sound field, which plays an important role in the method. Green’s function in the virtual environment is needed in the method. To restrict measurement points on an enclosed surface, the Green’s function is expanded by a set of modes. A simulation is given to examine the validity of the method.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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