Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves
Simulating wave propagation in microstrip lines with Gyrotropic magnetic substrate is considered in this thesis. Since the static internal field distribution has an important effect on the device behavior, accurate determination of the internal fields are considered as well. To avoid the losses at m...
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ndltd-TORONTO-oai-tspace.library.utoronto.ca-1807-276072013-04-19T19:55:41ZNumerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic WavesVashghani Farahani, AlirezaStrip lines with Gyrotropic magnetic substratesMicromagneticsEdgemode isolatorMagnetization distributionFinite difference time domain method05440607Simulating wave propagation in microstrip lines with Gyrotropic magnetic substrate is considered in this thesis. Since the static internal field distribution has an important effect on the device behavior, accurate determination of the internal fields are considered as well. To avoid the losses at microwave frequencies it is assumed that the magnetic substrate is saturated in the direction of local internal field. An iterative method to obtain the magnetization distribution has been developed. It is applied to a variety of nonlinear nonuniform magnetic material configurations that one may encounter in the design stage, subject to a nonuniform applied field. One of the main characteristics of the proposed iterative method to obtain the static internal field is that the results are supported by a uniqueness theorem in magnetostatics. The series of solutions Mn,Hn, where n is the iteration number, minimize the free Gibbs energy G(M) in sequence. They also satisfy the constitutive equation M = χH at the end of each iteration better than the previous one. Therefore based on the given uniqueness theorem, the unique stable equilibrium state M is determined. To simulate wave propagation in the Gyrotropic magnetic media a new FDTD formulation is proposed. The proposed formulation considers the static part of the electromagnetic field, obtained by using the iterative approach, as parameters and updates the dynamic parts in time. It solves the Landau-Lifshitz-Gilbert equation in consistency with Maxwell’s equations in time domain. The stability of the initial static field distribution ensures that the superposition of the time varying parts due to the propagating wave will not destabilize the code. Resonances in a cavity filled with YIG are obtained. Wave propagation through a microstrip line with YIG substrate is simulated. Magnetization oscillations around local internal field are visualized. It is proved that the excitation of magnetization precession which is accompanied by the excitation of magnetostatic waves is responsible for the gap in the scattering parameter S12. Key characteristics of the wide microstrip lines are verified in a full wave FDTD simulation. These characteristics are utilized in a variety of nonreciprocal devices like edgemode isolators and phase shifters.Lavers, John Douglas2011-032011-06-13T15:13:44ZNO_RESTRICTION2011-06-13T15:13:44Z2011-06-13T15:13:44ZThesishttp://hdl.handle.net/1807/27607en_ca |
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NDLTD |
language |
en_ca |
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NDLTD |
topic |
Strip lines with Gyrotropic magnetic substrates Micromagnetics Edgemode isolator Magnetization distribution Finite difference time domain method 0544 0607 |
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Strip lines with Gyrotropic magnetic substrates Micromagnetics Edgemode isolator Magnetization distribution Finite difference time domain method 0544 0607 Vashghani Farahani, Alireza Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves |
description |
Simulating wave propagation in microstrip lines with Gyrotropic magnetic substrate is
considered in this thesis. Since the static internal field distribution has an important
effect on the device behavior, accurate determination of the internal fields are considered as well. To avoid the losses at microwave frequencies it is assumed that the magnetic substrate is saturated in the direction of local internal field. An iterative method to obtain the magnetization distribution has been developed. It is applied to a variety of nonlinear nonuniform magnetic material configurations that one may encounter in the design stage, subject to a nonuniform applied field.
One of the main characteristics of the proposed iterative method to obtain the static internal field is that the results are supported by a uniqueness theorem in magnetostatics.
The series of solutions Mn,Hn, where n is the iteration number, minimize the free Gibbs
energy G(M) in sequence. They also satisfy the constitutive equation M = χH at the end
of each iteration better than the previous one. Therefore based on the given uniqueness
theorem, the unique stable equilibrium state M is determined.
To simulate wave propagation in the Gyrotropic magnetic media a new FDTD formulation is proposed. The proposed formulation considers the static part of the electromagnetic field, obtained by using the iterative approach, as parameters and updates the dynamic parts in time. It solves the Landau-Lifshitz-Gilbert equation in consistency with Maxwell’s equations in time domain. The stability of the initial static field distribution ensures that the superposition of the time varying parts due to the propagating wave will not destabilize the code.
Resonances in a cavity filled with YIG are obtained. Wave propagation through a
microstrip line with YIG substrate is simulated. Magnetization oscillations around local internal field are visualized. It is proved that the excitation of magnetization precession which is accompanied by the excitation of magnetostatic waves is responsible for the gap in the scattering parameter S12. Key characteristics of the wide microstrip lines are verified in a full wave FDTD simulation. These characteristics are utilized in a variety of nonreciprocal devices like edgemode isolators and phase shifters. |
author2 |
Lavers, John Douglas |
author_facet |
Lavers, John Douglas Vashghani Farahani, Alireza |
author |
Vashghani Farahani, Alireza |
author_sort |
Vashghani Farahani, Alireza |
title |
Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves |
title_short |
Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves |
title_full |
Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves |
title_fullStr |
Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves |
title_full_unstemmed |
Numerical Modeling of Wave Propagation in Strip Lines with Gyrotropic Magnetic Substrate and Magnetostaic Waves |
title_sort |
numerical modeling of wave propagation in strip lines with gyrotropic magnetic substrate and magnetostaic waves |
publishDate |
2011 |
url |
http://hdl.handle.net/1807/27607 |
work_keys_str_mv |
AT vashghanifarahanialireza numericalmodelingofwavepropagationinstriplineswithgyrotropicmagneticsubstrateandmagnetostaicwaves |
_version_ |
1716581819604795392 |