Finite Element Analysis of Antennas and Arrays by Jian-Ming Jin

By Jian-Ming Jin

The main entire, up to date insurance of the Finite aspect research and Modeling of Antennas and Arrays

aimed toward researchers in addition to sensible engineers—and choked with over two hundred illustrations together with twenty-two colour plates—Finite point research of Antennas and Arrays provides:

  • Time- and frequency-domain formulations and mesh truncation strategies

  • Antenna resource modeling and parameter calculation

  • Modeling of advanced fabrics and nice geometrical info

  • research and modeling of narrowband and broadband antennas

  • research and modeling of limitless and finite phased-array antennas

  • research and modeling of antenna and platform interactions

spotting the strengths of different numerical tools, this publication is going past the finite aspect process and covers hybrid innovations that mix the finite point strategy with the finite distinction time-domain strategy, the strategy of moments, and the high-frequency asymptotic how to successfully care for numerous complicated antenna difficulties.

Complemented with a number of examples, this state-of-the-art source totally demonstrates the ability and features of the finite aspect research and its many sensible functions.

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Extra resources for Finite Element Analysis of Antennas and Arrays

Example text

The formulation described in this section can easily be extended to model materials, such as Lorentz materials, with an electrical susceptibility that is characterized by ↔ ↔ a simultaneous decay and oscillation according to χ e (t) = a e e−δe t cos(αe t) u(t). All ↔ ↔ that is required is to rewrite this as χ e (t) = a e Re[e−be t ] u(t), where be = δe − jαe , and then modify the equations that contain e−be t by taking their real part [6]. 73) p=1 where Ne denotes the number of poles in the expansion.

54). 52) can be written as ∇ × μ−1 · ∇ × E(t) + ε0 ε ∞ · ↔ ↔ ∂ 2 E(t) ∂ 2 E(t) ↔ + ε χ (t) ∗ = 0. 66) (k+1/2) t ¨ is constant over the time and it is understood that E(t) = 0 for t ≤ 0. 66) becomes ↔ χe ∗ ∂ 2E ∂t 2 t /2 ∼ = n−1 ↔ ¨n + χ e (τ ) dτ · E 0 t=n t = k=0 (k+3/2) t (k+1/2) t ↔ ¨ n−k−1 χ e (τ ) dτ · E 1 ↔ ¨n (1 − e−be t /2 ) a e · E be n−1 + k=0 1 (1 − e−be be t )e−be (k+1/2) t ↔ ¨ n−k−1 . 56), with the exception of the placement of the time derivatives in the convolution. 70) k=0 with ˜ i0j = ε0 k ij = ε0 1 (1 − e−be t /2 ) be 1 (1 − e−be be t ↔ Ni · a e · N j dV V )e−be (k+1/2) ↔ Ni · a e · N j dV t k ≥ 0.

Radio Sci. Mtg. , p. 4, San Diego, CA, July 2008. R. Wang, H. Wu, A. C. -M. Jin, “Time-domain finite-element modeling of antenna arrays with distributed feed network,” IEEE AP-S Int. Symp. , p. 1, San Diego, CA, July 2008. A. E. Yilmaz, Z. Lou, E. Michielssen, and J. M. Jin, “A single-boundary, implicit, and FFTaccelerated time-domain finite element–boundary integral solver,” IEEE Trans. , vol. 55, no. 5, pp. 1382–1397, May 2007. 2 Finite Element Formulation The finite element method is a numerical procedure used to obtain approximate solutions to boundary-value problems of mathematical physics with the aid of an electronic computer.

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