A comparison of the Berenger perfectly matched layer and the Lindman higher-order ABC's for the FDTD method

Andrew, W.V.; Balanis, C.A.; Tirkas, P.A.

doi:10.1109/75.386128

Cited by 32 publications

(17 citation statements)

References 11 publications

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“…A direct inspection shows that the Green's function for this equation is given byĤ z (x; y) = i 4 H (1)…”

Section: Z +1mentioning

confidence: 99%

“…where H (1) n is the Hankel function of rst kind and order zero, and x = exp(i ). This series converges uniformly for r a 0 9].…”

Section: Z +1mentioning

confidence: 99%

“…Suppose~ = r + i~ i where~ r and~ i are real. The desired asymptotic behavior of the Hankel functions is H (1) m…”

Section: Z +1mentioning

confidence: 99%

“…This approach is easy to implement and is very e ective. It has already been the subject of numerous of papers 18,1,5,12,11,13,25,26,23,21,15,7,4,24,3]. However, to our knowledge, there has been very little theoretical analysis of the method.…”

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confidence: 99%

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The Perfectly Matched Layer in Curvilinear Coordinates

Collino¹,

Monk²

1998

SIAM J. Sci. Comput.

319

299

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In 1994 B erenger showed how to construct a perfectly matched absorbing layer for the Maxwell system in rectilinear coordinates. This layer absorbs waves of any wavelength and any frequency without re ection and thus can be used to arti cially terminate the domain of scattering calculations. In this paper we show how to derive and implement the B erenger layer in curvilinear coordinates (in two space dimensions). We prove that an in nite layer of this type can be used to solve time harmonic scattering problems. We also show that the truncated B erenger problem has a solution except at a discrete set of exceptional frequencies (which might be empty). Finally numerical results show that the curvilinear layer can produce accurate solutions in the time and frequency domain.

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“…A direct inspection shows that the Green's function for this equation is given byĤ z (x; y) = i 4 H (1)…”

Section: Z +1mentioning

confidence: 99%

“…where H (1) n is the Hankel function of rst kind and order zero, and x = exp(i ). This series converges uniformly for r a 0 9].…”

Section: Z +1mentioning

confidence: 99%

“…Suppose~ = r + i~ i where~ r and~ i are real. The desired asymptotic behavior of the Hankel functions is H (1) m…”

Section: Z +1mentioning

confidence: 99%

mentioning

confidence: 99%

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The Perfectly Matched Layer in Curvilinear Coordinates

Collino¹,

Monk²

1998

SIAM J. Sci. Comput.

319

299

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“…The PML technique involves the application of a nonphysical absorbing material adjacent to the computational boundary. The PML material has characteristics that permit electromagnetic waves of arbitraq frequency and angle of incidence to be absorbed while maintaining the impedance and velocity of a lossless dielectric [3]. This technique has shown its effectiveness and generality of handling a large class of problems in discrete domain techniques.…”

Section: Introductionmentioning

confidence: 99%