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...

Full description

Bibliographic Details
Main Author: Vashghani Farahani, Alireza
Other Authors: Lavers, John Douglas
Language:en_ca
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/1807/27607
id ndltd-TORONTO-oai-tspace.library.utoronto.ca-1807-27607
record_format oai_dc
spelling 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
collection NDLTD
language en_ca
sources NDLTD
topic Strip lines with Gyrotropic magnetic substrates
Micromagnetics
Edgemode isolator
Magnetization distribution
Finite difference time domain method
0544
0607
spellingShingle 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