On the irrotational component of the electric Green's dyadic

Abstract

It is shown that the dominant singularity of the electric Green's dyadic is proportional to the irrotational part of the unit delta dyadic. Contrary to statements in the literature, this term does not vanish identically away from the source. Therefore in the full three-dimensional eigenfunction expansion of the Green's dyadic, one must account for the contribution due to the irrotational vector wave functions, even in a source free region. In the recent literature on this subject this point is in controversy. The apparent contradications are discussed and the differences resolved. COMPONENTOF ELECTRIC GREEN'S DYADIC 963

EIGER™ development and application to an IR frequency-selective surface

“…His passion for applying analytical techniques combined with numerical methods to solve real world engineering problems began when Don attended graduate school and continues to influence our present work. There have been a number of papers that resulted from the interactions between the first author and Don Dudley [9,10]. The second author had the distinction of being Don's academic granddaughter.…”

Quantification of the Induced Electric Field in a Material Sample Placed within an Energized Cylindrical Cavity

“…However, extracting the delta function from the dyadic Green's function G e does not improve its singularity or convergency. Our main purpose is to make EFIE (13) and MFIE (14) consistent. Therefore, we may only solve EFIE (13) in our numerical computations.…”

“…This is not correct for the following reason [13][14][15][16][17][18]. When a material sample is placed in the cavity, the initial cavity electric field will induce electric charges on the surface of the material sample if it is of finite size or at the heterogeneity boundaries if it is heterogeneous.…”

Dyadic Green's functions for a coaxial line

“…If one at-=<[ ih -' r + -TnQ cos n 4 i ar sin r tempts to .find Gel directly from (9) then L must be included[ 3 ] ,[4] . The introduction of the entire subject of dyadic Green's + p2Tncur> cos n,;]eihz, For any current source with current density function J(R') located inside a coaxial line, the electric field can be calculated using the rmulaKA = (X2 + h2)lI2 ihn Sin where (10)If apertures exist on the outer conductor of the line, the scattered electric field inside the line due to the aperture field is given byE@) = 11 E, 1 (E, E') -[A x &')I dS',Gm denotes the magnetic dyadic Green's function_of the first kind which satisfies the boundary condition li X -Gm1 = 0 on r = a and r = b.…”