Novel three‐dimensional dyadic diffraction coefficient for wireless channel

Abstract

A novel three‐dimensional dyadic diffraction coefficient is presented.The proposed coefficient shows significant improvement when compared with published measurement. Further, three‐dimensional rooftop scenario is considered and measurement of the electric field in the vicinity of the building is carried out. The measurement result, thus obtained, is compared with predictions using proposed coefficient. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 2132–2136, 2010; Published online in Wiley InterScience (www.interscience. wiley.com). DOI 10.1002/mop.25402

Three-Dimensional Wedge Diffraction Correction Deduced by the Stationary Phase Method on the Modified Equivalent Current Approximation (Meca)

“…Regarding the scope of application, the main difference between our technique and the general three-dimensional GTD published in [17] concerns the fact that our proposed technique is directly applicable to the PO and MECA formulations.…”

“…R s 0,n and R h 0,n are the so-called soft and hard reflection coefficients, respectively, incorporated into the GTD diffraction coefficients [17]: R s 0,n = sin(θ 0,n )− ε cr2 −cos 2 (θ 0,n ) sin(θ 0,n )+ ε cr2 − cos 2 (θ 0,n ) , R h 0,n = − ε cr2 sin(θ 0,n )− ε cr2 −cos 2 (θ 0,n ) ε cr2 sin(θ 0,n )+ ε cr2 −cos 2 (θ 0,n ) .…”

“…Note that n need not be an integer. Angles θ 0 and θ n in (A9) are calculated by using the following expressions [17]:…”

“…The two-dimensional GTD coefficients of Luebbers [15] have recently been extended to the three-dimensional case in [17]. These extended coefficients depend on the angles in (2) and on the constitutive parameters of the scattering material, and can be expressed in matrix form as…”

“…The parameter n is given by (A11) in Appendix A. In the geometry discussed here, for every edge, matrix C is obtained by substituting the particular values addressed in this paragraph into the coefficients of (16) and (17), and then solving (18). In this particular case, matrix C becomes…”