Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits

Hebermehl, G.; Schlundt, Rainer; Zscheile, H.; Heinrich, W.

doi:10.1007/978-3-322-96688-9_20

Cited by 3 publications

(6 citation statements)

References 3 publications

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“…Now we are able to compute the electromagnetic field solving the corresponding high dimensional system of linear algebraic equations ( 8) taking into account the boundary conditions. The method is described in Hebermehl et al (1999).…”

Section: Computation Of Eigen Modes 957mentioning

confidence: 99%

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On the computation of eigen modes for lossy microwave transmission lines including perfectly matched layer boundary conditions

Hebermehl

Hübner

Schlundt

et al. 2001

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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The design of microwave circuits requires detailed knowledge on the electromagnetic properties of the transmission lines used. This can be obtained by applying Maxwell’s equations to a longitudinally homogeneous waveguide structure, which results in an eigenvalue problem for the propagation constant. Special attention is paid to the so‐called perfectly matched layer boundary conditions (PML). Using the finite integration technique we get an algebraic formulation. The finite volume of the PML introduces additional modes that are not an intrinsic property of the waveguide. In the presence of losses or absorbing boundary conditions the matrix of the eigenvalue problem is complex. A method which avoids the computation of all eigenvalues is presented in an effort to find the few propagating modes one is interested in. This method is an extension of a solver presented by the authors in a previous paper which analyses the lossless case. Using mapping relations between the planes of eigenvalues and propagation constants a strip in the complex plane is determined containing the desired propagation constants and some that correspond to the PML modes. In an additional step the PML modes are eliminated.The numerical effort of the presented method is reduced considerably compared to a full calculation of all eigenvalues.

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Section: Computation Of Eigen Modes 957mentioning

confidence: 99%

“…After the transverse mode fields have been computed at the ports all boundary conditions for the three-dimensional boundary value problem are known (Hebermehl et al, 1999).…”

Section: Introductionmentioning

confidence: 99%

On the computation of eigen modes for lossy microwave transmission lines including perfectly matched layer boundary conditions

Hebermehl

Hübner

Schlundt

et al. 2001

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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“…The Maxwellian equations are now applied to each cell. We use the lowest-order integration formulae (5) in order to approximate the left-hand and the right-hand sides of the first and the second Maxwellian equation (see (1a), (1b)).…”

Section: Structure Under Investigationmentioning

confidence: 99%

“…the primary grid [4] the following matrix representation of the second Maxwellian equation (1b) results:…”

Section: Structure Under Investigationmentioning

confidence: 99%

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Eigen mode solver for microwave transmission lines

Hebermehl

Schlundt

Zscheile

et al. 1997

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Small dimensional microstrips embedded with ferromagnetic layers: Numerical simulations and experimental results

Gollub,

Kuanr,

Celinski

et al. 2008

Preprint

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We use a numerical electromagnetic simulation software to investigate a filtering device consisting of a small dimensional microstrips embedded with a thin layer of ferromagnetic material and we compare our results to experimental results. We are able to show good correlation of simulation versus experiment for the magnitude of insertion loss and phase shift. The microstrips considered have dimensions on the order of the skin depth of the conductor and hence the field distribution is not easily calculated by analytic methods. We show that numerical simulation methods provide an accurate means of characterizing these structures.

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Numerical Solutions for the Simulation of Monolithic Microwave Integrated Circuits

Cited by 3 publications

References 3 publications

On the computation of eigen modes for lossy microwave transmission lines including perfectly matched layer boundary conditions

On the computation of eigen modes for lossy microwave transmission lines including perfectly matched layer boundary conditions

Eigen mode solver for microwave transmission lines

Small dimensional microstrips embedded with ferromagnetic layers: Numerical simulations and experimental results

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