# Magnetic Dyadic Green’s Functions of the Considered Electrodynamic Volumes

• Mikhail V. Nesterenko
• Victor A. Katrich
• Yuriy M. Penkin
• Sergey L. Berdnik
Chapter
1. 1.
Infinite rectangular waveguide with perfectly conducting walls:
$$\begin{array}{ll} \hat {G}^m(\vec {r},{\vec {r}}^{\prime}) = & \frac{2\pi }{ab}\sum\limits_{\hbox{m,n}} \frac{\varepsilon _{\hbox{m}} \varepsilon _{\hbox{n}}}{k_z } \left\{ {(\vec {e}_x \otimes \vec {e}_{x}^{\prime} )\Phi _x^m (x,y;{x}^{\prime},{y}^{\prime})\,e^{ - k_z \vert z - {z}^{\prime}\vert }} \right. \nonumber\\ &+ (\vec {e}_y \otimes \vec {e}_{y}^{\prime} )\Phi _y^m (x,y;{x}^{\prime},{y}^{\prime})\,e^{ - k_z \vert z - {z}^{\prime}\vert } \\ &+ \left. {(\vec {e}_z \otimes \vec {e}_{z}^{\prime} )\Phi _z^m (x,y;{x}^{\prime},{y}^{\prime})\,e^{ - k_z \vert z - {z}^{\prime}\vert }} \right\} \,. \nonumber \end{array}$$

## Keywords

Coordinate System Unit Vector Cartesian Coordinate System Surface Impedance Optical Engineer
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Authors and Affiliations

• Mikhail V. Nesterenko
• 1
• Victor A. Katrich
• 1
• Yuriy M. Penkin
• 2
• Sergey L. Berdnik
• 1
1. 1.Department of RadiophysicsV.N. Karazin Kharkov National UniversityUkraine
2. 2.Department of Information TechnologyNational Pharmaceutical UniversityUkraine