Nonuniform Transmission Line Model for Electromagnetic Radiation in Free Space

Author:

Xiao Gaobiao1ORCID,Hu Mengxia1ORCID

Affiliation:

1. State Key Laboratory of Radio Frequency Heterogeneous Integration, Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Abstract

An equivalent nonuniform transmission line model for electromagnetic radiation in free space is developed. By properly defining a voltage and a current associated with the transverse component of the mode fields, a kind of telegrapher’s equation is derived for each spherical harmonic mode in frequency domain. Based on the equivalent distribution inductance and capacitance, the local characteristic impedance and phase velocity are derived. For each spherical mode, a cutoff spherical surface and an associated cutoff radius are introduced to separate the space into an evanescent region and a propagating region. A spherical mode field decays approximately exponentially in the evanescent region and experience local reflection in the propagating region. The proposed model may provide an intuitive illustration for the radiation process in free space.

Funder

National Natural Science Foundation of China

National Key R&D Program of China

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering,Computer Networks and Communications,Hardware and Architecture,Signal Processing,Control and Systems Engineering

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1. Electromagnetic Inverse Source Problems;Modern Antenna;2024

2. Synthesis of Far Field Patterns;Modern Antenna;2024

3. Nonuniform Transmission Line Model;Modern Antenna;2024

4. Nonuniform Transmission Line Model for Electromagnetic Radiation in Uniform Lossy Medium;2023 International Applied Computational Electromagnetics Society Symposium (ACES-China);2023-08-15

5. Stable FDTD for the Time-Domain Wave Equation Resulted from Spherical Harmonic Expansions;2023 International Applied Computational Electromagnetics Society Symposium (ACES-China);2023-08-15

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