Magnetostatic Waves in Inhomogeneous Fields

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Introduction
List of frequently used abbreviations
Chapter 1: Magnetostatic waves and domain structures in ferrite–garnet films (literature review)
	1.1: Oscillations and waves in magnetically ordered media in the approximation of magnetostatics
	1.2: Conditions of existence and dispersion of MSWs in magnetic films and structures on their basis
	1.3: Spreading of SMSW (surface magnetostic waves) in an arbitrary direction along the film plane
	1.4: Distribution of SMSW in ferrite films and structures under the conditions of inhomogeneous magnetization
	1.5: Distribution of SMSW in ferrite films and structures with periodic inhomogneities
	1.6: Conversion of a magnetostatic wave into electromagnetic on the field inhomogeneity
	1.7: Domain structures in ferrite films, FMR and MSW under the conditions of the existence of domain structures
	1.8: Features of magnetostatic waves in the long-wave limit
	1.9: Use of FMR, MSW and domains in ferritle films for information processing devices
	1.10: Basic issues for further explanation
	1.11: Some new directions of research of MSW
Chapter 2: Mathematical apparatus used in calculating the properties of magnetostatic waves
	2.1: Landau–Lifshitz equation
	2.2: Dynamic sensitivity of a magnetic medium
	2.3: Walker's equation
		2.3.1: Walker's equation with an arbitrary susceptibility tensor
		2.3.2: Walker equation in the Damon–Eshbach problem
	2.4: Dispersion ration for magnetic plate with free surface
		2.4.1: Basic equations
		2.4.2: Border conditions
		2.4.3: Complete problem statement
		2.4.4: Solving equations without boundary conditions
		2.4.5: Frequency regions of body and surface waves
		2.4.6: Derivation of the dispersion relation from the solution and boundary conditions
		2.4.7: Transition to the polar coordinate system
		2.4.8: Potentials
		2.4.9: Fields
		2.4.10: Magnetization
		2.4.11: Cutoff angle for the Damon-Eshbach ratio
		2.4.12: Damon–Eshbach dispersion relation in the Cartesian coordinate system
	2.5: Dispersion ratio for metal–dielectric–ferrite–metal (MDFDM) structure and its particular cases
		2.5.1: General derivation of the dispersion relation
		2.5.2: Dispersion relation for an arbitrary direction of propagation of the phase front
		2.5.3: Transition to the polar coordinate system
		2.5.4: Passage to the limit for dispersion relations for other structures
	2.6: Dispersion ration for metal–dielectric–ferrite–ferrite–dielectric–metal structure (MDFFDM)
		2.6.1: General conclusion and character of the dispersion relation
		2.6.2: Passage to the limit for dispersion relations for other structures
	2.7: Phase and group velocities, phase rise and delay time of wave beams SMSW
		2.7.1: Phase and group velocities
		2.7.2: Phase run and delay time
	2.8: System of equations for the Hamilton–Auld method
		2.8.1: General derivation of the Hamilton–Auld equations
		2.8.2: Transition to the polar coordinate system
	2.9: Derivatives from the dispersion relationship for the ferritic–dielectric–metal structure
	2.10: Equivalence of different kinds of equations of dynamics in classical mechanics
	2.11: Cauchy's proble in the distribution of SMSW
	2.12. Technique for calculating the trajectories of wave beams of MSW in an inhomogeneous field
Chapter 3: Magnetostatic waves in homogenized magnetized ferrite films and structures on their basis
	3.1: Conditions of existence and dispersion of SMSW (surface magnetostatic waves) in ferrite films and structures on their basis
		3.1.1: Dispersion properties of forward and backward SMSWs in the FDM structure
		3.1.2: Experimental study of the dispersion of the SMSW in the structure of the FDM
			3.1.2.1: Basic experimental technique
			3.1.2.2: Results of an experimental study of the dispersion properties of SMSW
		3.1.3: On the possibility of experimental observation of backward waves
	3.2: Distribution of SMSW in a two-component environment consists of a free ferrite film and FDM (ferrite–dielectric–metal) structure
		3.2.1: Analysis of the refraction of the SMSW using the method of isofrequency curves
			3.2.1.1: Formulation of the problem
			3.2.1.2. Analysis of orientation dependences by the method of isofrequency curves
			3.2.1.3: Strip orientation along the field
			3.2.1.4: The orientation of the strip is arbitrary
			3.2.1.5: Evaluation of the possibility of manifestation of the effects of dispersive splitting of a wave beam under the conditions of a real experiment
		3.2.2: Experimental study of the refraction of the SMSW
			3.2.2.1: Strip orientation along the field
			3.2.2.2: The orientation of the strip is arbitrary
		3.2.3: Reflection coefficient of the SMSW from the interface
	3.3: Dispersional properties of SMSW in structures containing two ferrite layers
		3.3.1: Ferrite–ferrite (FF) structure
		3.3.2: Metal–dielectric–ferrite–ferrite–dielectric–metal structure (MDFFDM)
		3.3.3: Experimental study of the variance of SMSW
Chapter 4: Methods of research and analysis of the propagation of SMSW under conditions of magnetization by a longitudinal inhomogeneous field
	4.1: Basic types of inhomogeneities of a magnetizing field
	4.2: Spatial configuration of the areas if distribution of the SMSW
	4.3: Methods for analysis of SMSW propation under the conditions of inhomogeneous binding (frequency curves and Hamilton–Auld)
		4.3.1: Isofrequency curve method
		4.3.2: The Hamilton–Auld method
		4.3.3: Comparison of methods for analyzing SMSW trajectories
	4.4: Distribution of SMSWs in ferrite films with free surfaces
		4.4.1: Analysis of SMSW trajectories by the method of isofrequency curves
			4.4.1.1: Linearly inhomogeneous field
			4.4.1.2: Valley-type field
			4.4.1.3: Shaft-type field
		4.4.2: Analysis of SMSW trajectories by the Hamilton–Auld method
			4.4.2.1: Linearly inhomogeneous field
			4.4.2.2: Valley-type field
			4.4.2.3: Shaft-type field
	4.5: Distribution of SMSW in the ferrite–metal structure
		4.5.1: Linearly inhomogeneous field
		4.5.2: Valley-type field
		4.5.3: Shaft-type field
		4.5.4: Channels of the first and second type
	4.6: Distribution of SMSWs in the structure of ferrite–dielectric metal
		4.6.1: Analysis of SMSW trajectories by the method of isofrequency curves
			4.6.1.1: Linearly inhoimogeneous field
			4.6.1.2: Valley-type field
			4.6.1.3: Shaft-type field
			4.6.1.4: General comment
		4.6.2: Analysis of SMSW trajectories by the Hamilton–Auld method
			4.6.2.1: Linearly inhomogeneous field
			4.6.2.2: Valley-type field
			4.6.2.3: Shaft-type field
	4.7: Phase rise and delay time
		4.7.1: Linearly inhomogeneous field
		4.7.2: Valley-type field
		4.7.3: Shaft-type field
	4.8: Experimental study of SMSW trajectories
		4.8.1: The main parameters of the experiment
		4.8.2: Linearly inhomogeneous field
		4.8.3: Valley-type field
		4.8.4: Shaft-type field
		4.8.5: Change of various parameters of the experiment
Chapter 5: Propagation of wave beams of finite width in inhomogeneous magnetized ferrite films
	5.1: Spatial transformation of wide beams of SMSW propagating in inhohogensouly magnetized films
		5.1.1: Linearly inhomogeneous field
		5.1.2: Valley-type field
		5.1.3: Shaft-type field
	5.2: Method for analysis of amplitude-frequency and phase-frequency characteristics of transmission lines of SMSW
		5.2.1: General scheme of the method for calculating the frequency phase responses
		5.2.2: Frequency response diagram
		5.2.3: PFC construction scheme
	5.3: Amplitude-frequency characteristics of transmision lines on ferrite films magnetized by fields of different configurations
		5.3.1: Homogeneous field
		5.3.2: Linearly inhomogeneous field
		5.3.3: Valley-type field
		5.3.4: Shaft-type field
	5.4: Ampliture–frequency characteristics of waveguard channel for SMSW formed by inhomogeneous ‘shaft’-type field
		5.4.1: Changing the length of the channel
		5.4.2: Changing the channel excitation conditions
			5.4.2.1: Symmetrical arousal
			5.4.2.2: Asymmetrical excitement
			5.4.2.3: Transverse shift of the emitting transducer
	5.5: Amplitude–frequency characteristics of the transmission line to the SMSW at an arbitrary orientation of the magnetizing field
		5.5.1: The general geometry of two variants of the location of the transducers: mutually opposite and mutually shifted
		5.5.2: Filtration of the first type, mutually opposite geometry
		5.5.3: Filtering of the second type, mutually shifted geometry
	5.6: Experimental study of SMSW beams of finite width and amplitude–frequency characteristics
		5.6.1: Linearly inhomogeneous field
		5.6.2: Valley type field
		5.6.3: Shaft-type field
Chapter 6: Amplitude–frequency properties of trasmission lines on magnetostatic waves taking into account the phase run
	6.1: General characteristics of typical transmission lines to SMSW
	6.2: General case of waves in a magnetic medium
	6.3: The case of surface magnetostatic waves (SMSW)
	6.4: Amplitude transmission line characteristics and its different geometric parameters
		6.4.1: Dependence of the amplitude of the transmitted signal on frequency when changing the relative orientation of the transducers
		6.4.2: Dependence of the amplitude of the transmitted signal on the frequency with a change in the width of the wave beam
		6.4.3: Dependence of the amplitude of the transmitted signal on the relative orientation of the transducers at a fixed signal frequency
		6.4.4: Dependence of the phase of the transmitted signal on frequency when changing the relative orientation of the transducers
	6.5: Effect of the phase run on AFC
		6.5.1: Geometry of the problem with relative mutual displacement of transducers
		6.5.2: Formation of the amplitude–frequency characteristic
		6.5.3: Formation of the phase-frequency response
		6.5.4: The influence of the length of the transducers on the structure of the frequency response
	6.6: Deformation of the wave front of surface magnetostatic waves in ferrite films magnetized by linearly inhomogeneous field
		6.6.1: General geometry of the problem
		6.6.2: Various cases of orientation of the emitting transducer
			6.6.2.1: Orientation corresponding to j= 30°
			6.6.2.2: Other orientations
	6.6: General character of transformation of the area of distribution of SMSW when various parameters of the structure change
		6.6.1: Changing the orientation of the emitting transducer
		6.6.2: Frequency change
		6.6.3: Changing the gradient of the field
	6.7: Recommendations for optimizing the parameters of the transmission line of the SMSW
Chapter 7: Use of magnetostatic waves in inhomogeneously magnetic ferrite films for information processing devices and other technical applications
	7.1: Brief overview of possible technical applications
	7.2: Wave guiding structures for SMSW on ferrite films magnetized by a shaft-type field
	7.3: Optimization of the shape of SMSW converters for devices on inhomogeneous magnetized ferrite films
	7.4: Multi-channel filter on ferrite film magnetized by a valley-type field
	7.5: Multi-channel filter on packed ferrite structures
	7.6: Microwave signal delay line on a ferrite film magnetized by a shaft-type field
	7.7: Measurements of parameters of yttrium iron garnet films with a complex anisotropy character
	7.8: Study of the spatial distribution of the magnetic field with the help of the sensor on the SMSW
	7.9: Use of the transmission line to SMSW to determine the orientation of the magnetic field
Bibliography
Index