Preface |
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xi | |
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xiii | |
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1 | (10) |
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5 | (4) |
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9 | (2) |
I Sensor strains and temperature |
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11 | (98) |
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13 | (3) |
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Stresses and strains in the material |
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16 | (6) |
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Stresses and strains in the sensor |
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22 | (20) |
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Anisotropic uncoated sensor in a generally anisotropic material |
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42 | (1) |
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Orthotropic uncoated sensor in an orthotropic material |
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42 | (18) |
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Displacement continuity conditions |
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43 | (7) |
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Stress continuity conditions |
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50 | (10) |
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Transversely isotropic uncoated sensor in a transversely isotropic material |
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60 | (7) |
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Transversely isotropic uncoated sensor in an isotropic material |
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67 | (5) |
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Isotropic uncoated sensor in a transversely isotropic material |
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72 | (5) |
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Isotropic uncoated sensor in an isotropic material |
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77 | (3) |
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Sensors not embedded in a solid |
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80 | (2) |
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80 | (1) |
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Sensor immersed in a fluid |
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80 | (2) |
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82 | (22) |
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Out-of-plane shear applied |
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85 | (4) |
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89 | (3) |
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Non-axisymmetric in-plane loading |
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92 | (5) |
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97 | (7) |
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104 | (5) |
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Extrinsic Fabry-Perot sensors |
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104 | (2) |
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Plane strain and plane stress conditions |
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106 | (3) |
II Optical and geometric properties of the sensor |
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109 | (22) |
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111 | (1) |
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Optical properties of the sensor |
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112 | (9) |
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Transversely isotropic sensor |
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115 | (2) |
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117 | (2) |
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119 | (2) |
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Geometric properties of the sensor |
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121 | (9) |
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121 | (1) |
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121 | (6) |
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127 | (3) |
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130 | (1) |
III Sensor output |
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131 | (56) |
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133 | (1) |
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Fabry-Perot sensor output in terms of the sensor optical and geometric properties |
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134 | (6) |
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Reflected light intensity---Low finesse Fabry---Perot sensor |
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135 | (3) |
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Reflected light intensity---High finesse Fabry---Perot sensor |
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138 | (2) |
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Fabry-Perot sensor output in terms of the sensor strains and temperature |
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140 | (6) |
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Transversely isotropic intrinsic Fabry-Perot sensor |
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140 | (1) |
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Isotropic intrinsic Fabry-Perot sensor |
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141 | (2) |
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Extrinsic Fabry-Perot sensor |
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143 | (1) |
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Non-embedded Fabry-Perot sensors |
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144 | (1) |
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145 | (1) |
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Fabry-Perot sensor output in terms of the farfield strains and temperature |
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146 | (16) |
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Uncoated transversely Isotropic or isotropic intrinsic Fabry-Perot sensor in a generally anisotropic material |
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146 | (1) |
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Transversely isotropic intrinsic Fabry-Perot sensor in a transversely isotropic material |
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147 | (2) |
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Transversely isotropic intrinsic Fabry-Perot sensor in an isotropic material |
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149 | (4) |
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Isotropic intrinsic Fabry-Perot sensor in a transversely isotropic material |
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153 | (5) |
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Isotropic intrinsic Fabry-Perot sensor in an isotropic material |
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158 | (1) |
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Extrinsic Fabry-Perot sensor |
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158 | (1) |
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159 | (3) |
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Bragg sensor output in terms of the sensor optical and geometric properties |
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162 | (4) |
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Bragg sensor output in terms of the sensor strains and temperature |
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166 | (6) |
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Transversely isotropic Bragg sensor |
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166 | (1) |
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166 | (3) |
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Non-embedded Bragg sensors |
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169 | (1) |
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170 | (2) |
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Bragg sensor output in terms of the farfield strains and temperature |
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172 | (15) |
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Transversely isotropic intrinsic Bragg sensor in a transversely isotropic material |
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173 | (1) |
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Transversely isotropic intrinsic Bragg sensor in an isotropic material |
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173 | (1) |
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Isotropic intrinsic Bragg sensor in a transversely isotropic material |
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173 | (10) |
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Transversely isotropic Bragg sensor in a isotropic material |
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183 | (1) |
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183 | (4) |
IV Demodulation |
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187 | (22) |
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189 | (1) |
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190 | (2) |
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192 | (12) |
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Low finesse Fabry-Perot sensor |
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192 | (2) |
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High finesse extrinsic Fabry-Perot sensor |
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194 | (2) |
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High finesse intrinsic Fabry-Perot sensor |
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196 | (4) |
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200 | (1) |
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201 | (3) |
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Geoptic strain in terms of the farfield strains and temperature |
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204 | (5) |
V Strain and temperature measurement |
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209 | (18) |
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211 | (1) |
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Measurements of the farfield strains and temperature with seven sensors |
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212 | (3) |
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The effects of uncertainties |
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213 | (2) |
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Measurement of the farfield strains and temperature with n sensors |
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215 | (12) |
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The effects of uncertainties |
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220 | (7) |
VI Sensor selection and calibration |
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227 | (18) |
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229 | (1) |
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230 | (7) |
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231 | (6) |
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237 | (8) |
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Intrinsic Fabry-Perot and Bragg sensors |
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237 | (5) |
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Pockel constants and thermooptic coefficient for a transversely isotropic intrinsic Fabry-Perot or Bragg sensor |
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238 | (2) |
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Pockel constants and thermooptic coefficient for an isotropic intrinsic Fabry-Perot or Bragg sensor |
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240 | (2) |
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Thermooptic coefficient for an extrincisic Fabry-Perot sensor |
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242 | (1) |
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242 | (3) |
VII Computer code |
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245 | (2) |
Appendices |
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247 | (36) |
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A Transformation matrices |
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249 | (5) |
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A.1 Stress transformation |
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249 | (2) |
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A.2 Strain transformation |
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251 | (1) |
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A.3 Thermal expansion coefficient |
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252 | (1) |
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A.4 Stiffness and compliance matrices |
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252 | (1) |
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253 | (1) |
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B Stiffness and compliance matrices |
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254 | (3) |
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254 | (1) |
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B.1.1 Generally anisotropic material |
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254 | (1) |
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B.1.2 Orthotropic material |
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254 | (1) |
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B.1.3 Transversely isotropic material |
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255 | (1) |
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255 | (2) |
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C Thermal expansion coefficient |
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257 | (2) |
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C.1 Generally anisotropic material |
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257 | (1) |
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257 | (1) |
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C.3 Transversely isotropic material |
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257 | (1) |
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258 | (1) |
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D Continuity conditions (uncoated sensors) |
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259 | (6) |
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259 | (3) |
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262 | (1) |
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D.3 Continuity conditions at points A and B |
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263 | (2) |
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E Derivative of the stress function |
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265 | (2) |
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F Stress-strain relationship at points A and B |
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267 | (2) |
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267 | (1) |
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268 | (1) |
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G Solution for es5 and es6 for an orthotropic uncoated sensor in an orthotropic material |
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269 | (2) |
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H Solution for es2 through es4 for a transversely isotropic uncoated sensor in a transversely isotropic material |
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271 | (4) |
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I Continuity conditions (coated sensors) |
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275 | (1) |
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276 | (2) |
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J.1 Transversely isotropic material |
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276 | (1) |
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277 | (1) |
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K Solution of the wave equation |
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278 | (2) |
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I Traveling wave intensity |
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280 | (1) |
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M Change in the geoptic strain---High finesse Fabry-Perot |
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281 | (2) |
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M.1 High finesse extrinsic Fabry-Perot sensors |
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281 | (1) |
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M.2 High finesse intrinsic Fabry-Perot sensors |
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282 | (1) |
Bibliography |
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283 | (4) |
Index |
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287 | |