| Introduction |
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xi | |
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List of frequently used abbreviations |
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xiv | |
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1 Magnetostatic waves and domain structures in ferrite-garnet films (literature review) |
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1 | (32) |
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1.1 Oscillations and waves in magnetically ordered media in the approximation of magnetostatics |
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1 | (4) |
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1.2 Conditions of existence and dispersion of MSWs in magnetic films and structures on their basis |
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5 | (4) |
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1.3 Spreading of SMSW (surface magnetostic waves) in an arbitrary direction along the film plane |
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9 | (4) |
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1.4 Distribution of SMSW in ferrite films and structures under the conditions of inhomogeneous magnetization |
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13 | (3) |
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1.5 Distribution of SMSW in ferrite films and structures with periodic inhomogneities |
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16 | (5) |
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1.6 Conversion of a magnetostatic wave into electromagnetic on the field inhomogeneity |
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21 | (1) |
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1.7 Domain structures in ferrite films, FMR and MSW under the conditions of the existence of domain structures |
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22 | (2) |
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1.8 Features of magnetostatic waves in the long-wave limit |
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24 | (3) |
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1.9 Use of FMR, MSW and domains in ferritle films for information processing devices |
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27 | (1) |
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1.10 Basic issues for further explanation |
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28 | (2) |
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1.11 Some new directions of research of MSW |
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30 | (3) |
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2 Mathematical apparatus used in calculating the properties of magnetostatic waves |
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33 | (106) |
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2.1 Landau-Lifshitz equation |
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33 | (6) |
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2.2 Dynamic sensitivity of a magnetic medium |
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39 | (6) |
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45 | (5) |
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2.3.1 Walker's equation with an arbitrary susceptibility tensor |
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45 | (3) |
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2.3.2 Walker equation in the Damon--Eshbach problem |
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48 | (2) |
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2.4 Dispersion ration for magnetic plate with free surface |
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50 | (33) |
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50 | (4) |
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54 | (1) |
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2.4.3 Complete problem statement |
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55 | (1) |
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2.4.4 Solving equations without boundary conditions |
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56 | (7) |
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2.4.5 Frequency regions of body and surface waves |
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63 | (2) |
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2.4.6 Derivation of the dispersion relation from the solution and boundary conditions |
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65 | (4) |
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2.4.7 Transition to the polar coordinate system |
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69 | (3) |
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72 | (3) |
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75 | (1) |
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76 | (2) |
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2.4.11 Cutoff angle for the Damon--Eshbach ratio |
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78 | (2) |
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2.4.12 Damon--Eshbach dispersion relation in the Cartesian coordinate system |
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80 | (3) |
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2.5 Dispersion ratio for metal--dielectric--ferrite--metal (MDFDM) structure and its particular cases |
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83 | (15) |
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2.5.1 General derivation of the dispersion relation |
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84 | (7) |
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2.5.2 Dispersion relation for an arbitrary direction of propagation of the phase front |
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91 | (1) |
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2.5.3 Transition to the polar coordinate system |
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92 | (3) |
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2.5.4 Passage to the limit for dispersion relations for other structures |
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95 | (3) |
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2.6 Dispersion ration for metal--dielectric--ferrite--ferrite--dielectric--metal structure (MDFFDM) |
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98 | (7) |
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2.6.1 General conclusion and character of the dispersion relation |
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98 | (5) |
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2.6.2 Passage to the limit for dispersion relations for other structures |
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103 | (2) |
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2.7 Phase and group velocities, phase rise and delay time of wave beams SMSW |
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105 | (8) |
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2.7.1 Phase and group velocities |
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106 | (6) |
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2.7.2 Phase run and delay time |
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112 | (1) |
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2.8 System of equations for the Hamilton-Auld method |
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113 | (10) |
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2.8.1 General derivation of the Hamilton-Auld equations |
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114 | (1) |
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2.8.2 Transition to the polar coordinate system |
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115 | (8) |
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2.9 Derivatives from the dispersion relationship for the ferritic--dielectric--metal structure |
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123 | (4) |
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2.10 Equivalence of different kinds of equations of dynamics in classical mechanics |
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127 | (2) |
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2.11 Cauchy's proble in the distribution of SMSW |
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129 | (5) |
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2.12 Technique for calculating the trajectories of wave beams of MSW in an inhomogeneous field |
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134 | (5) |
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3 Magnetostatic waves in homogenized magnetized ferrite films and structures on their basis |
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139 | (46) |
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3.1 Conditions of existence and dispersion of SMSW (surface magnetostatic waves) in ferrite films and structures on their basis |
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139 | (19) |
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3.1.1 Dispersion properties of forward and backward SMSWs in the FDM structure |
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140 | (7) |
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3.1.2 Experimental study of the dispersion of the SMSW in the structure of the FDM |
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147 | (1) |
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3.1.2.1 Basic experimental technique |
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147 | (7) |
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3.1.2.2 Results of an experimental study of the dispersion properties of SMSW |
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154 | (3) |
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3.1.3 On the possibility of experimental observation of backward waves |
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157 | (1) |
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3.2 Distribution of SMSW in a two-component environment consists of a free ferrite film and FDM (ferrite--dielectric--metal) structure |
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158 | (19) |
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3.2.1 Analysis of the refraction of the SMSW using the method of isofrequency curves |
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159 | (1) |
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3.2.1.1 Formulation of the problem |
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159 | (3) |
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3.2.1.2 Analysis of orientation dependences by the method of isofrequency curves |
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162 | (1) |
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3.2.1.3 Strip orientation along the field |
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162 | (3) |
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3.2.1.4 The orientation of the strip is arbitrary |
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165 | (1) |
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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 |
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166 | (1) |
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3.2.2 Experimental study of the refraction of the SMSW |
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167 | (2) |
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3.2.2.1 Strip orientation along the field |
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169 | (5) |
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3.2.2.2 The orientation of the strip is arbitrary |
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174 | (2) |
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3.2.3 Reflection coefficient of the SMSW from the interface |
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176 | (1) |
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3.3 Dispersional properties of SMSW in structures containing two ferrite layers |
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177 | (8) |
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3.3.1 Ferrite--ferrite (FF) structure |
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178 | (1) |
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3.3.2 Metal--dielectric--ferrite--ferrite--dielectric--metal structure (MDFFDM) |
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179 | (2) |
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3.3.3 Experimental study of the variance of SMSW |
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181 | (4) |
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4 Methods of research and analysis of the propagation of SMSW under conditions of magnetization by a longitudinal in homogeneous field |
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185 | (63) |
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4.1 Basic types of inhomogeneities of a magnetizing field |
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186 | (1) |
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4.2 Spatial configuration of the areas if distribution of the SMSW |
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187 | (2) |
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4.3 Methods for analysis of SMSW propation under the conditions of inhomogeneous binding (frequency curves and Hamilton--Auld) |
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189 | (4) |
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4.3.1 Isofrequency curve method |
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189 | (2) |
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4.3.2 The Hamilton--Auld method |
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191 | (2) |
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4.3.3 Comparison of methods for analyzing SMSW trajectories |
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193 | (1) |
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4.4 Distribution of SMS Ws in ferrite films with free surfaces |
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193 | (15) |
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4.4.1 Analysis of SMSW trajectories by the method of isofrequency curves |
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194 | (1) |
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4.4.1.1 Linearly inhomogeneous field |
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194 | (2) |
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4.4.1.2 Valley-type field |
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196 | (1) |
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197 | (1) |
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4.4.2 Analysis of SMSW trajectories by the Hamilton--Auld method |
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198 | (1) |
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4.4.2.1 Linearly inhomogeneous field |
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198 | (5) |
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4.4.2.2 Valley-type field |
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203 | (1) |
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203 | (5) |
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4.5 Distribution of SMSW in the ferrite-metal structure |
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208 | (4) |
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4.5.1 Linearly inhomogeneous field |
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208 | (2) |
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210 | (1) |
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211 | (1) |
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4.5.4 Channels of the first and second type |
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211 | (1) |
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4.6 Distribution of SMSWs in the structure of ferrite-dielectric metal |
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212 | (15) |
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4.6.1 Analysis of SMSW trajectories by the method of isofrequency curves |
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213 | (1) |
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4.6.1.1 Linearly inhoimogeneous field |
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213 | (3) |
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4.6.1.2 Valley-type field |
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216 | (2) |
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218 | (2) |
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220 | (1) |
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4.6.2 Analysis of SMSW trajectories by the Hamilton-Auld method |
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220 | (1) |
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4.6.2.1 Linearly inhomogeneous field |
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221 | (2) |
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4.6.2.2 Valley-type field |
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223 | (1) |
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224 | (3) |
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4.7 Phase rise and delay time |
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227 | (8) |
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4.7.1 Linearly inhomogeneous field |
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227 | (2) |
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229 | (2) |
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231 | (4) |
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4.8 Experimental study of SMSW trajectories |
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235 | (13) |
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4.8.1 The main parameters of the experiment |
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235 | (1) |
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4.8.2 Linearly inhomogeneous field |
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236 | (1) |
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237 | (1) |
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238 | (2) |
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4.8.5 Change of various parameters of the experiment |
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240 | (8) |
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5 Propagation of wave beams of finite width in inhomogeneous magnetized ferrite films |
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248 | (93) |
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5.1 Spatial transformation of wide beams of SMSW propagating in inhohogensouly magnetized films |
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248 | (5) |
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5.1.1 Linearly inhomogeneous field |
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249 | (2) |
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251 | (1) |
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252 | (1) |
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5.2 Method for analysis of amplitude-frequency and phase-frequency characteristics of transmission lines of SMSW |
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253 | (7) |
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5.2.1 General scheme of the method for calculating the frequency phase responses |
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253 | (3) |
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5.2.2 Frequency response diagram |
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256 | (1) |
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5.2.3 PFC construction scheme |
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257 | (3) |
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5.3 Amplitude-frequency characteristics of transmision lines on ferrite films magnetized by fields of different configurations |
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260 | (17) |
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260 | (5) |
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5.3.2 Linearly inhomogeneous field |
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265 | (2) |
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267 | (3) |
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270 | (7) |
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5.4 Ampliture--frequency characteristics of waveguard channel for SMSW formed by inhomogeneous `shaft'-type field |
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277 | (7) |
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5.4.1 Changing the length of the channel |
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278 | (1) |
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5.4.2 Changing the channel excitation conditions |
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279 | (1) |
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5.4.2.1 Symmetrical arousal |
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280 | (1) |
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5.4.2.2 Asymmetrical excitement |
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281 | (1) |
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5.4.2.3 Transverse shift of the emitting transducer |
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282 | (2) |
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5.5 Amplitude--frequency characteristics of the transmission line to the SMSW at an arbitrary orientation of the magnetizing field |
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284 | (7) |
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5.5.1 The general geometry of two variants of the location of the transducers: mutually opposite and mutually shifted |
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284 | (2) |
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5.5.2 Filtration of the first type, mutually opposite geometry |
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286 | (3) |
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5.5.3 Filtering of the second type, mutually shifted geometry |
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289 | (2) |
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5.6 Experimental study of SMSW beams of finite width and amplitude - frequency characteristics |
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291 | (8) |
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5.6.1 Linearly inhomogeneous field |
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292 | (1) |
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293 | (1) |
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294 | (5) |
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6.1 Amplitude-frequency properties of trasmission lines on magnetostatic waves taking into account the phase run |
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299 | (1) |
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6.1 General characteristics of typical transmission lines to SMSW |
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299 | (1) |
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6.2 General case of waves in a magnetic medium |
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300 | (6) |
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6.3 The case of surface magnetostatic waves (SMSW) |
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306 | (1) |
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6.4 Amplitude transmission line characteristics and its different geometric parameters |
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307 | (10) |
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6.4.1 Dependence of the amplitude of the transmitted signal on frequency when changing the relative orientation of the transducers |
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308 | (2) |
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6.4.2 Dependence of the amplitude of the transmitted signal on the frequency with a change in the width of the wave beam |
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310 | (1) |
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6.4.3 Dependence of the amplitude of the transmitted signal on the relative orientation of the transducers at a fixed signal frequency |
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311 | (4) |
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6.4.4 Dependence of the phase of the transmitted signal on frequency when changing the relative orientation of the transducers |
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315 | (2) |
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6.5 Effect of the phase run on AFC |
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317 | (8) |
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6.5.1 Geometry of the problem with relative mutual displacement of transducers |
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318 | (1) |
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6.5.2 Formation of the amplitude-frequency characteristic |
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319 | (2) |
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6.5.3 Formation of the phase-frequency response |
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321 | (1) |
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6.5.4 The influence of the length of the transducers on the structure of the frequency response |
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322 | (3) |
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6.6 Deformation of the wave front of surface magnetostatic waves in ferrite films magnetized by linearly inhomogeneous field |
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325 | (9) |
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6.6.1 General geometry of the problem |
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325 | (3) |
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6.6.2 Various cases of orientation of the emitting transducer |
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328 | (1) |
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6.6.2.1 Orientation corresponding to Φ= 30° |
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328 | (3) |
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6.6.2.2 Other orientations |
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331 | (3) |
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6.6 General character of transformation of the area of distribution of SMSW when various parameters of the structure change |
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334 | (3) |
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6.6.1 Changing the orientation of the emitting transducer |
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334 | (1) |
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335 | (1) |
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6.6.3 Changing the gradient of the field |
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336 | (1) |
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6.7 Recommendations for optimizing the parameters of the transmission line of the SMSW |
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337 | (4) |
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7 Use of magnetostatic waves in inhomogeneously magnetic ferrite films for information processing devices and other technical applications |
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341 | (24) |
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7.1 Brief overview of possible technical applications |
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341 | (2) |
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7.2 Wave guiding structures for SMSW on ferrite films magnetized by a shaft-type field |
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343 | (3) |
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7.3 Optimization of the shape of SMSW converters for devices on inhomogeneous magnetized ferrite films |
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346 | (3) |
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7.4 Multi-channel filter on ferrite film magnetized by a valley-type field |
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349 | (2) |
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7.5 Multi-channel filter on packed ferrite structures |
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351 | (4) |
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7.6 Microwave signal delay line on a ferrite film magnetized by a shaft-type field |
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355 | (2) |
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7.7 Measurements of parameters of yttrium iron garnet films with a complex anisotropy character |
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357 | (2) |
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7.8 Study of the spatial distribution of the magnetic field with the help of the sensor on the SMSW |
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359 | (1) |
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7.9 Use of the transmission line to SMSW to determine the orientation of the magnetic field |
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360 | (5) |
| Bibliography |
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365 | (35) |
| Index |
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400 | |
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