摘要:

In this paper we analyze the distinctive features of the plane waves propagation in an infinite omega medium and the behavior of a planar interface under plane wave excitation conditions. With regard to the propagation of plane wave in an infinite omega medium we provide the dispersion equation, the formal eigenvectors expressions as functions of the eigenvalues (propagation constant, wavenumbers), the conditions on the constitutive relations parameters and the related directions for which the regime of bimodal propagation degenerates into a monomodal one. The considered interface problem is typical of the electromagnetic situation in which a semi-infinite space filled with an isotropic medium, described by the electromagnetic parameters ε, μ, borders on another semi-infinite space filled with a particular bianisotropic medium, referred as pseudochiral or omega. By applying the phase matching conditions at the interface (boundary conditions) we derive the (general) relations between the transmission angle and the incident one of the electromagnetic field in the omega medium. Moreover, we derive as well the total reflection conditions, both for the first and the second eigenwave, the expressions for the incidence and the related transmissions angles, in omega medium, for the regime of monomodal propagation (for which the regime of monomodal propagation holds). Finally, the formal expression of the dyadic reflection and transmission coefficients is given.

ISSN:0920-5071    

DOI:10.1163/156939395X00712

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

Source driven problems for weakly non-separable waveguiding environments have been addressed in a number of ways. Data generated via various numerical codes occasionally lead to confusion due to discrepancies between them while apparently dealing with the same problem. Recently a group of benchmark problems has been introduced [ J. Acoust. Soc. A-m,., Vol. 87, No. 4, 1497-1545, April 1990] as a frame of reference wherein different approaches could be set to test and their respective merits could be assessed with some confidence. In this paper we undertake one of these benchmark problems (the non-penetrable wedge) and construct two and three dimensional Green's function representations in terms of intrinsic modes (IM). Our numerical results indicate that IM formulations are capable of providing approximate Green's function representations for weakly non-separable waveguiding environments that are accurate everywhere except in the immediate vicinity of sources.

ISSN:0920-5071    

DOI:10.1163/156939395X00721

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

ISSN:0920-5071    

DOI:10.1163/156939395X00730

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

ISSN:0920-5071    

DOI:10.1163/156939395X00749

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor