Download Higher-order FDTD Schemes for Waveguides and Antenna by Theodoros D. Tsiboukis, Nikolaos V. Kantartzis, Constantine PDF

By Theodoros D. Tsiboukis, Nikolaos V. Kantartzis, Constantine Balanis

This book offers a complete and systematically equipped insurance of upper order finite-difference time-domain or FDTD schemes, demonstrating their strength function as a robust modeling device in computational electromagnetics. detailed emphasis is drawn at the research of up to date waveguide and antenna buildings. said as an important step forward within the evolution of the unique Yee's set of rules, the better order FDTD operators stay the topic of an ongoing clinical examine. between their undeniable benefits, you may distinguish the improved degrees of accuracy even for coarse grid resolutions, the quick convergence premiums, and the adjustable balance. in truth, because the fabrication criteria of recent platforms get stricter, it's obvious that such homes develop into very attractive for the accomplishment of problematic and credible designs.

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35) ⎥ 1 22 1 0 ⎥ ⎥ ⎥ 0 1 22 1 ⎦ . . 0 b rH a rH with supscripts “l” and “r” representing the left and right boundary of the domain, respectively. 37) are ⎡ Ez|ndl /2 ⎤ ⎡ Ez|n1 − Ez|ndl ⎤ ⎥ ⎥ ⎢ ⎢ ⎢ Ez|n3/2 ⎥ ⎢ Ez|n2 − Ez|n1 ⎥ ⎥ ⎥ ∂ ⎢ 24 ⎢ ⎥ ⎥ ⎢ ⎢ .. AEb = ⎥ ⎥ ⎢ ⎢ . ⎥ Δx ⎢ ⎥ ∂x ⎢ ⎥ ⎥ ⎢ n ⎢ n n ⎣ Ez| L−3dr /2 ⎦ ⎣ Ez| L−1 − Ez| L−2 ⎦ Ez|nL−dr /2 Ez|nL − Ez|nL−dr ⎡ ⎡ ⎤ n+1/2 n+1/2 ⎤ n+1/2 H − H y y 3/2 dl /2 Hy 1 ⎢ ⎥ ⎢ ⎥ n+1/2 n+1/2 ⎢ n+1/2 ⎢ Hy ⎥ Hy 5/2 − Hy 3/2 ⎥ ⎢ ⎥ ⎢ ⎥ 2 ⎢ ⎥ ⎢ ⎥ ∂ 24 ⎢ ⎥ ..

To continue the implicit derivative matching analysis, Ez and Hy components are placed at real, p i , and fictitious, s i , mesh nodes for i = 1, 2, . . 7. The values of s i are obtained in terms of p i ones at every time-step via the representation of 2M si = for i = 1, 2, . . 63) j =1 where wi, j are certain coefficients, S = [s 1 s 2 . . s 2M ]T , and P = [ p 1 p 2 . . p 2M ]T . The resulting unknown 2M × 2M matrix W is determined by considering its rows Wi = [wi,1 wi,2 . . wi,2M ] ¯ = [W1 W2 .

93) with θ and φ the polar angles of propagation that allow broadband simulations. By implementing the two filtering schemes, additional enhancement may be equivalently achieved. 5◦ is analyzed. 08. 10(a) provides the relative error of the normalized phase velocity versus wavelengths per cell for different angles. Notice the significantly small discrepancies around the optimization angle. , different p c from the basis {( p − p c )m }. An important remark, herein, is that the local dispersion error is practically smaller for higher frequencies than for lower ones as opposed to ordinary FDTD simulations.

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