Lorentz Reciprocity Theorem

2012 ◽  
pp. 313-313
Keyword(s):  
Reciprocity Theorem ◽  
Lorentz Reciprocity Theorem

An efficient hybrid method for analyzing the coupling response of microstrip antenna system

2021 ◽  
pp. 1-14
Author(s):  
Xiao Hu ◽  
Yang Qiu ◽  
Qing-Lin Xu ◽  
Jin Tian
Keyword(s):  
Hybrid Method ◽  
Microstrip Antenna ◽  
Fdtd Method ◽  
Antenna System ◽  
Reciprocity Theorem ◽  
Thin Wire ◽  
Equivalent Source ◽  
Impedance Model ◽  
Antenna Coupling ◽  
Lorentz Reciprocity Theorem

This paper presents an efficient hybrid method consisting of Lorentz reciprocity theorem, finite-difference-time-domain (FDTD) method, thin wire model, transmission line (TL) equations and transfer impedance model, which can be utilized to analyze the system-level transient responses of the microstrip antenna system with antenna, metallic enclosures, braided shielded cable, and lumped element, when illuminated by an external electromagnetic pulse (EMP). In order to avoid over-fine mesh generation and repeated modeling of the antenna in multiple simulations, Lorentz reciprocity theorem is employed to extract an equivalent source model of antenna coupling, thereby improving the computational efficiency. Then, the transfer impedance model and thin wire model are incorporated into the FDTD-TL method efficiently to deal with the back-door coupling through the shielding layer of feeding coaxial cable. Finally, the hybrid FDTD method combined with the extracted equivalent source of antenna coupling is utilized to solve the coupling responses of the whole antenna system. The results of numerical simulation are verified by comparing with the simulation results of CST CS. Then, considering the influence of different incident conditions of external EMP, the characteristics of the coupling response of the system are analyzed. The obtained coupling response information demonstrate that the proposed method is available for further designing electromagnetic protection of the inner circuits of the microstrip antenna system against the impact of external EMP.

scholarly journals Discussion on Reciprocity, Unitary Matrix, and Lossless Multiple Beam Forming Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Nelson Jorge G. Fonseca
Keyword(s):  
Surrounding Medium ◽  
Operation Mode ◽  
Reciprocity Theorem ◽  
Beam Forming ◽  
Unitary Matrix ◽  
Theoretical Discussion ◽  
Multiple Beam ◽  
Element Array ◽  
Lorentz Reciprocity Theorem ◽  
Matrix Design

The Lorentz reciprocity theorem enables us to establish that the transmitting and receiving patterns of any antenna are identical, provided some hypotheses on this antenna and the surrounding medium are satisfied. But reciprocity does not mean that the antenna behaves the same in the transmitting and the receiving modes. In this paper, array antennas fed by multiple beam forming networks are discussed, highlighting the possibility to have different values of internal losses in the beam forming network depending on the operation mode. In particular, a mathematical condition is derived for the specific case of a multiple beam forming network with lossless transmitting mode and lossy receiving mode, such a behavior being fully consistent with the reciprocity theorem. A theoretical discussion is provided, starting from a simple 2-element array to a generalM×Nmultiple beam forming network. A more practical example is then given, discussing a specific4×8Nolen matrix design and comparing theoretical aspects with simulation results.

RADIATION AND RECEPTION PROPERTIES OF A WIDE SLOT IN A PARALLEL-PLATE TRANSMISSION LINE: I

1959 ◽  
Vol 37 (2) ◽  
pp. 144-159 ◽  
Author(s):  
R. F. Millar
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Free Space ◽  
Parallel Plate ◽  
Dominant Mode ◽  
Reciprocity Theorem ◽  
Polar Diagram ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Lorentz Reciprocity Theorem

A solution is obtained to the problem of radiation from a slot in a parallel-plate transmission line when excited by an E-polarized, dominant mode wave. Expressions are obtained for the reflection and transmission coefficients, and the polar diagram of the radiated field. Explicit calculations are performed when the width of the slot is much greater than the free-space wavelength of the incident radiation.An application of the Lorentz reciprocity theorem yields, without further analysis, the amplitude and phase of the propagated wave which is excited in the line by an incident cylindrical or plane wave.

Study of Eigenmodes in Periodic Waveguides Using the Lorentz Reciprocity Theorem

2004 ◽  
Vol 52 (2) ◽  
pp. 542-553 ◽  
Author(s):  
D. Pissoort ◽  
F. Olyslager
Keyword(s):  
Reciprocity Theorem ◽  
Lorentz Reciprocity Theorem
Sign in / Sign up

Export Citation Format

Share Document