Green's function analysis of an ideal hard surface rectangular waveguide

Abstract

Green's function analysis of an ideal hard surface rectangular waveguide is proposed for characterization of the modal spectrum of the structure. A decomposition of the hard surface waveguide into perfect electric conductor and perfect magnetic conductor waveguides allows the representation of dyadic Green's function as a superposition of transverse magnetic (TM) and transverse electric (TE) waveguide modes, respectively. In addition, a term corresponding to a transverse electromagnetic (TEM) mode is included in the eigenmode expansion of the Green's dyadic. It is shown that the TEM mode solution can be obtained by solving vector Helmholtz's equation in the zero cutoff limit with the corresponding boundary conditions of electric field on the ideal hard surface. The electric field distribution due to an arbitrarily oriented electric dipole source is illustrated for a few representative TM, TE, and TEM modes propagating in the ideal hard surface rectangular waveguide. The proposed model is verified by analyzing a realistic hard surface square waveguide using the Ansoft High‐Frequency Structure Simulator (HFSS).

Transformation of Nonlinear Mixture Chopped Stochastic Program Model

“…Branch and Price algorithm proposed by [14] to solve the problem of dual stage Mixture Chopped Stochastic Program (MCSP) which has a special structure. [15] exploit certain substructure problems and then develop an efficient capacity planning scheme approach to solve the problem of doublestage Chopped Stochastic Program.…”

Artificial magnetic conductors realised by frequency-selective surfaces on a grounded dielectric slab for antenna applications

“…Another common method is to introduce perfect electric conductor ( PEC) strips on a dielectric slab of certain thickness [5][6][7][8][9]. The main characteristics of such strip-loaded surfaces can be modelled by using an ideal model, which represents alternating PEC and PMC strips with vanishing widths [2], [10][11][12]. These anisotropic surfaces are polarisationdependent, such that the hard surface behaves like a PMC for TE-polarised waves and as a PEC for TM-polarised waves propagating along the strips (corrugations).…”