Non-uniform plane waves (ghost waves) in general anisotropic medium

2019 ◽  
Vol 453 ◽  
pp. 124334 ◽  
Author(s):  
Waleed Iqbal Waseer ◽  
Qaisar Abbas Naqvi ◽  
M. Juniad Mughal
Keyword(s):  
Anisotropic Medium ◽  
Plane Waves ◽  
Uniform Plane

A BRIEF SURVEY ON CONSTRUCTING HOMOCLINIC STRUCTURES OF SOLITON EQUATIONS

2006 ◽  
Vol 16 (10) ◽  
pp. 2799-2813 ◽  
Author(s):  
RANCHAO WU ◽  
JIANHUA SUN
Keyword(s):  
Nonlinear Partial Differential Equations ◽  
Plane Waves ◽  
Homoclinic Orbits ◽  
Lax Pair ◽  
Dressing Method ◽  
Soliton Equations ◽  
Coupled Equations ◽  
Mathematical Proofs ◽  
Extended Application ◽  
Uniform Plane

To give rigorous mathematical proofs of chaotic behaviors in a given system, it is necessary to identify the homoclinic structures in the system. In this tutorial review, methods for constructing explicit solutions for nonlinear partial differential equations are presented, with more emphasis placed on those utilizing complete integrability associated with soliton equations. As an extended application, homoclinic orbits to spatial uniform plane waves of coupled modified nonlinear Schrödinger equations are obtained via the dressing method. During the procedure, it is necessary to introduce the Lax pair for these coupled equations, as well as its Floquet spectral analysis and corresponding Bloch functions.

Reflection in a highly anisotropic medium for three-dimensional plane waves under initial stresses

2014 ◽  
Vol 85 ◽  
pp. 136-149 ◽  
Author(s):  
Mita Chatterjee ◽  
Sudarshan Dhua ◽  
Sanjeev A. Sahu ◽  
Amares Chattopadhyay
Keyword(s):  
Anisotropic Medium ◽  
Plane Waves ◽  
Three Dimensional ◽  
Initial Stresses ◽  
Dimensional Plane

scholarly journals Evaluation of the Electromagnetic Power Absorption in Humans Exposed to Plane Waves: The Effect of Breathing Activity

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Marta Cavagnaro ◽  
Erika Pittella ◽  
Stefano Pisa
Keyword(s):  
Resting State ◽  
Parallel Implementation ◽  
Plane Waves ◽  
Whole Body ◽  
Reference Levels ◽  
Human Body Model ◽  
Deep Breath ◽  
Electromagnetic Power ◽  
5 Ghz ◽  
Uniform Plane

The safety aspects of the exposure of people to uniform plane waves in the frequency range from 900 MHz to 5 GHz are analyzed. Starting from a human body model available in the literature, representing a man in resting state, two new anatomical models are considered, representing different phases of the respiratory activity: tidal breath and deep breath. These models have been used to evaluate the whole body Specific Absorption Rate (SAR) and the 10-g averaged and 1-g averaged SAR. The analysis is performed using a parallel implementation of the finite difference time domain method. A uniform plane wave, with vertical polarization, is used as an incident field since this is the canonical exposure situation used in safety guidelines. Results show that if the incident electromagnetic field is compliant with the reference levels promulgated by the International Commission on Non-Ionizing Radiation Protection and by IEEE, the computed SAR values are lower than the corresponding basic restrictions, as expected. On the other side, when the Federal Communications Commission reference levels are considered, 1-g SAR values exceeding the basic restrictions for exposure at 4 GHz and above are obtained. Furthermore, results show that the whole body SAR values increase passing from the resting state model to the deep breath model, for all the considered frequencies.

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