Wave propagation in media with three‐dimensional quadratic refractive index profile

1987 ◽  
Vol 81 (6) ◽  
pp. 1732-1740 ◽  
Author(s):  
S. K. Jeng ◽  
C. H. Liu
2001 ◽  
Vol 191 (1-2) ◽  
pp. 39-47 ◽  
Author(s):  
N. Barakat ◽  
H.A. El-Hennawi ◽  
E.Abd. El-Ghafar ◽  
H. El-Ghandoor ◽  
R. Hassan ◽  
...  

The parabolic moment equations can be used to describe wave propagation in a waveguide, with an arbitrary refractive index profile, that contains weakly scattering irregularities. These equations remain valid even in the case of multiple scatter. An exact solution can be given if the guide has a parabolic profile, when the intensity on the axis of the guide exhibits periodic foci which are rapidly blurred as scattering increases. Exact solutions cannot be obtained when the profile is non-parabolic. The paper presents an approximate method of solving the second moment equation for an arbitrary profile. A simplified form of the solution useful in practice is given, and the method is illustrated for a waveguide with a cubic profile. The physical significance of the solution is discussed.


2012 ◽  
Vol 25 (2) ◽  
pp. 103-112
Author(s):  
Nebojsa Doncov ◽  
Tatjana Asenov ◽  
Zoran Stankovic ◽  
John Paul ◽  
Bratislav Milovanovic

In this paper, a numerical three-dimensional (3D) model of electromagnetic lefthanded metamaterials (LH MTM) is applied for the modelling of composite right-left handed (RH/LH) structures with a graded refractive index profile commonly named GRIN MTM. The core of this model is Transmission Line Matrix (TLM) Z-transform method that incorporates the Drude function to account for dispersive LH MTM properties in the time-domain. Lossy GRIN slabs with abrupt, hyperbolic tangent, cosine, and linear refractive index profiles have been considered. The accuracy, efficiency and stability of the proposed approach are verified using analytical solution.


Materials ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1282
Author(s):  
Victor Reshetnyak ◽  
Igor Pinkevych ◽  
Timothy Bunning ◽  
Dean Evans

This study theoretically investigated light reflection and transmission in a system composed of a thin metal layer (Ag) adjacent to a rugate filter (RF) having a harmonic refractive index profile. Narrow dips in reflectance and peaks in transmittance in the RF band gap were obtained due to the excitation of a Tamm plasmon polariton (TPP) at the Ag–RF interface. It is shown that the spectral position and magnitude of the TPP dips/peaks in the RF band gap depend on the harmonic profile parameters of the RF refractive index, the metal layer thickness, and the external medium refractive index. The obtained dependences for reflectance and transmittance allow selecting parameters of the system which can be optimized for various applications.


2001 ◽  
Vol 29 (4) ◽  
pp. 252-256 ◽  
Author(s):  
Moataza A. Hindy

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