Discretization of Continuous Spectra Based on Perfectly Matched Layers

Olyslager, F.

doi:10.1137/s0036139903430197

Cited by 46 publications

(70 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Fig. 1(b), the PMLparadigm [4], [5] has been applied. The waveguide is closed by means of a PML that is backed by a perfect electrically conducting (PEC) cylindrical wall.…”

Section: A Geometrymentioning

confidence: 99%

“…In recent years, the PML-paradigm [4], [5] has led to new and rather unexpected applications concerning full-wave analysis and design of complex electromagnetic structures, in particular layered media. This paradigm allows to convert an open waveguide that consists of an open stack of dielectric layers, into a closed waveguide.…”

Section: Introductionmentioning

confidence: 99%

“…The term "improper" is used to indicate that these modes do not satisfy the radiation condition [21]. In the case of a waveguide that is closed through application of the PML-paradigm, the leaky modes are proper solutions of the dispersion relation and together with the guided modes and the so-called Bérenger (or PML) modes, they form a complete set [5], [22].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Efficient Computation of TM- and TE-Polarized Leaky Modes in Multilayered Circular Waveguides

Ginste

Rogier

Zutter

2010

J. Lightwave Technol.

View full text Add to dashboard Cite

Abstract-In combination with the Perfectly Matched Layer (PML)-paradigm, eigenmode expansion techniques have become increasingly important in the analysis and design of cylindrical and planar waveguides for photonics applications. To achieve high accuracy, these techniques rely on the determination of many modes of the modal spectrum of the waveguide under consideration. In this paper we focus on the efficient computation of Transverse Magnetic (TM) and Transverse Electric (TE) polarized leaky modes for multilayered cylindrical waveguides. First, quasi-static estimates are derived for the propagation constants of these modes. Second, these estimates are used as a starting point in an advanced Newton iteration scheme after they have been subjected to an adaptive linear error correction. To prove the validity of the computation technique it is applied to technologically important cases: vertical-cavity surface-emitting lasers (VCSELs) and a monomode fiber.

show abstract

“…In Fig. 1(b), the PMLparadigm [4], [5] has been applied. The waveguide is closed by means of a PML that is backed by a perfect electrically conducting (PEC) cylindrical wall.…”

Section: A Geometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Efficient Computation of TM- and TE-Polarized Leaky Modes in Multilayered Circular Waveguides

Ginste

Rogier

Zutter

2010

J. Lightwave Technol.

View full text Add to dashboard Cite

show abstract

“…The original modal spectrum is now replaced by a discrete set of modes of the PML-closed substrate [see Fig. 2(b)] [17]. The propagation constants and , , of this structure's TM-and TE-modes satisfy their corresponding dispersion relations of the PEC-dielectric-air-PML-PEC structure (6) where here, and in what follows, TX stands for TM and TE, and with (7) (8) (9) and , 1.…”

Section: B Green Dyadic With the Use Of A Pmlmentioning

confidence: 99%

“…A very efficient and elegant way to calculate Green functions, based on the use of perfectly matched layers (PML) [12]- [14], has been proposed in [15]- [17]. For a layered structure that is closed by a perfect electric conductor (PEC) plane at the top and bottom of the structure, the Sommerfeld integrals that arise in the Green function calculations can be expressed as a series of surface waves.…”

mentioning

confidence: 99%

An efficient perfectly matched layer based multilevel fast multipole algorithm for large planar microwave structures

Ginste

Michielssen²,

Olyslager

et al. 2006

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

Eigenmodes of index-modulated layers with lateral PMLs

Skigin

2005

Optik

View full text Add to dashboard Cite

Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the PML is derived. The general expression of the eigenvalues equation for an arbitrary number of regions in each layer is obtained, and both polarization modes are considered. The modal functions of a single layer ended by PMLs are found, and their orthogonality relation is derived. The present method is useful to simulate scattering problems from dielectric objects as well as propagation in planar slab waveguides. Its potential to deal with more complex problems such as the scattering from an object with arbitrary cross section in open space using the multilayer modal method is briefly discussed.Comment: 17 pages, 4 figure

show abstract

Discretization of Continuous Spectra Based on Perfectly Matched Layers

Cited by 46 publications

References 17 publications

Efficient Computation of TM- and TE-Polarized Leaky Modes in Multilayered Circular Waveguides

Efficient Computation of TM- and TE-Polarized Leaky Modes in Multilayered Circular Waveguides

An efficient perfectly matched layer based multilevel fast multipole algorithm for large planar microwave structures

Eigenmodes of index-modulated layers with lateral PMLs

Contact Info

Product

Resources

About