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                    | Dickey F.M., Holswade S.C. — Laser beam shaping. Theory and techniques |  
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                    | Ïðåäìåòíûé óêàçàòåëü |  
                    | |  (Beta)      23 26 98 123 126 129—130 135—138 279—280 284 289 300 308 
  (Beta), constraints for successful shaping      13 26 289 
  (Beta), defined      12 23 130 
  (Beta), dimensionless parameter      127 
  (Beta), effect on target spot quality      135—138 280 
  (Beta), uses      8 Anamorphic lenslets      see "Lenslet"
 Arc sources      298
 Archimedes      see "History"
 Aspherical deformation coefficient      182 229
 Aspherical surfaces      174 188
 Aspherical surfaces of beam shaper      217
 Aspherical surfaces of lens system      239
 Aspherical surfaces, fabrication      233
 Aspherical, piano-      186 187 191
 Asymptotic approximation      126
 Attenuation      380—387
 Attenuation, beam pickoff      381—384
 Attenuation, in-line      384—387
 Attenuation, in-line, bulk absorbing      385—387
 Attenuation, in-line, neutral density filters      385—387
 Attenuation, in-line, reflecting surface      385
 Attenuation, in-line, scattering surface      387
 Averaging      276 282—284 304—305
 Beam, analysis      11—12 see
 Beam, attenuation      see "Attenuation"
 Beam, collimated      132—134
 Beam, diameter      187 192 see width"
 Beam, integration      128
 Beam, integration, diffracting      276 278—281
 Beam, integration, imaging      274 275 288—289 290—291
 Beam, integration, non-imaging      274 275
 Beam, integration, zoom      291
 Beam, profile      349—420
 Beam, profile, industrial applications of      360
 Beam, profile, instruments for      355
 Beam, profile, medical applications of      358
 Beam, profile, scientific applications of      352
 Beam, profile, significance of      350
 Beam, profile, viewing      see "Viewing beam profiles"
 Beam, shaper, far field      253
 Beam, shaper, near field      250
 Beam, shaper, one-mirror      324—332
 Beam, shaper, two-lens      227 239
 Beam, shaper, two-mirror      203 208—209
 Beam, shaping, categories      3
 Beam, shaping, defined      1
 Beam, shaping, diffractive theory of      98—117
 Beam, shaping, geometrical, equations for      87—88
 Beam, shaping, geometrical, numerical solutions      97
 Beam, shaping, geometrical, radially symmetric systems      89
 Beam, shaping, lossless      see "Lossless"
 Beam, single mode      120 see
 Beam, truncation effects      139—140
 Beam, waist      131 169 220
 Beam, width      395—405 see diameter"
 Beam, width, accuracy      396—398 400—405
 Beam, width, accuracy, camera baseline offset      396—398
 Beam, width, accuracy, noise      396—398 400—405
 Beam, width, definitions      398—399
 Beam, width, second moment      399—405
 Bundle of rays      166 316
 Camera-based instruments, cameras      373—380 see
 Camera-based instruments, computers      372
 Camera-based instruments, description      371—389
 Camera-based instruments, frame grabbers      372
 Camera-based instruments, software      373
 cameras      373—380
 Cameras, CCD      373—379
 Cameras, CCD, frame transfer      378—379
 Cameras, CCD, interline transfer      378—379
 Cameras, CID      373—375
 Cameras, cooled infrared      375
 Cameras, infrared bolometer      375
 Cameras, InGaAs      375
 Cameras, lead sulfide      374
 Cameras, pyroelectric vidicon      374
 Cameras, pyroelectric, solid-state      374 379—380
 Cameras, signal-to-noise ratio of      377—378
 Categories, beam integration      3
 Categories, field mapping      3
 Categories, multi-faceted      3
 Caustic surfaces      323 see
 Caustics      58
 Coherence      284—288
 Coherence, mutual      285—288
 Coherence, partial      285—288 298
 Coherence, spatial      282 284—288 298 301
 Collimated beam      200 203
 Collimated light      320 322
 Combinatorial minimization      221
 Conic constant      174—175
 Curvature, Gaussian      321 327 348
 Curvature, mean      321 327 347
 Curvature, normal      321 327 347
 Curvature, principal      317
 Curvature, principal, radii of      315 322—324 347
 Curvature, radii of      321 343 347
 Curvature, surface      175 229 345
 Curvilinear coordinates      341
 d-spacing      175
 Detector      179
 Differential arc-length      342
 Differential equations      170—174 201-209
 Differential equations, solution of      172—174
 Differential geometry      341—348
 Diffracting beam integrator      see "Beam integration"
 Diffraction      276 278—281
 Diffractive evanescent order      257
 Diffractive order      250
 Diffractive theory      see "Beam shaping"
 Diffuser      249—271
 Diffuser, applications      269—270
 Diffuser, band limited      249
 Diffuser, binary      260
 Diffuser, example      260—264
 Diffuser, fabrication      264—267
 Discontinuities in stationary phase approximation      37 39
 Discontinuities, effect on beam shaping      23—24 26 105
 Discrete parameters      235
 Eikonal equation      60—64 165
 Element of area      317 330 343
 Energy, balance      168—171 324 331 335
 Energy, conservation of      163 184—189 203 217—218 316—319 329—335
 Energy, density      166 172
 Equation of surface      341
 Errors, alignment      142—145
 Errors, scaling      142—145
 Fabrication      180 182 233
 Fabrication of diffracting beam integrator, photolithographic      296—298
 Fabrication of diffracting beam integrator, surface measurement      297—298
 Fabrication of prototype laser beam shaper      193 197
 Fabrication, GRIN      199
 Fermats principle      54 68—70
 Fiber injection      see "Injection"
 Fitting, accuracy of      182
 Fitting, least squares      197
 Fitting, process      174
 Flux, density      315 323 330
 Flux, flow equation      314—319 322—327
 Fly's eye lens      128
 Focal (imaging) points      323
 Fourier, optics      73—74
 Fourier, transform      122 125—126
 Fourier, transform, lens      121—122 128 132
 Frequencies, spatial      254
 Fresnel, diffraction theory      70—82
 Fresnel, lens, classes, or orders      5
 Fresnel, lens, defined      4—5
 Fresnel, lens, lighthouses      5
 
 | Fresnel, number      77 279—281 289 300 308 Gaussian beam      120 125—126
 Gaussian beam, circular      129
 Gaussian beam, conversion of, to flat-top      93—95 107
 Gaussian beam, conversion of, to polynomial      107—109
 Gaussian beam, conversion of, to radial flattop      95 113
 Gaussian beam, conversion of, to stairstep function      95—97 113
 Gaussian beam, conversion of, to triangle function      109
 Gaussian beam, Gaussian mode      169
 Gaussian beam, resizing      14
 Generalized ray trace equations      324
 Genetic algorithms (GAs)      215—217 222—224
 Genetic algorithms (GAs), macro      244—248
 Genetic algorithms (GAs), micro-GA code      223
 Genetic algorithms (GAs), optimization with      227—241
 Genetic algorithms (GAs), parallelization of      222 224—227
 Geometrical optics      54—70 127 163 165—168
 Geometrical wavefront      165 167
 Gradient-index (GRIN), axial      188—191
 Gradient-index (GRIN), materials      221
 Gradient-index (GRIN), using GRIN lenses      191—199 227 235—239
 Grating      255—258
 Grating, equation      257
 Grating, vector      257
 Hankel transforms      35
 Hankel transforms and radially symmetric beam shaping      104—105
 History of beam shaping      3—5
 History of optics      3
 History, Archimedes and the siege of Syracuse      3—4
 Homogeneous wave equation      see "Wave equation"
 Illumination      333
 Image processing      186
 Imaging beam integrator      see "Beam integration"
 Index of refraction      167 191
 Index of refraction, wavelength dependence of      181—182 184—185
 Injection, fiber      299—309
 Injection, lens      299 307
 Intensity of beam      196—199 322
 Intensity, distribution      177 196 199
 Intensity, law      166
 Intensity, profile      182—183 189 200—205
 Intensity, profile, measuring      186—188
 Interference      276 282—283 301 303
 Irradiance      175 179 220 331 324—325
 Irradiance, calculations      217 233 313 315—324
 Irradiance, prescribed      333
 Irradiance, profile      199 216 237—239 314 325
 laser beam      see "Beam"
 Least squares technique      194 197
 Lenslet, anamorphic      295
 Lenslet, array      275 283 288—295 302 305
 Lithography      265
 Lithography, binary mask      265
 Lithography, direct write      265
 Lithography, gray scale mask      265
 lossless      120—121 128
 Lossless, versus lossy techniques      3
 Magnification      178
 Magnification, inverse      178 208
 Magnification, radial      209
 Magnification, rectangular      178 205
 Measurement Methods      360—371
 Measurement methods, electronic      363—371
 Measurement methods, electronic, attenuation      363
 Measurement methods, electronic, camera-based systems      371
 Measurement methods, electronic, mechanical scanning instruments      365—371
 Measurement methods, non-electronic      360—363
 Measurement methods, non-electronic, acrylic mode burns      362
 Measurement methods, non-electronic, burn paper      362
 Measurement methods, non-electronic, fluorescing plates      362
 Measurement methods, non-electronic, wooden tongue depressors      362
 Measurement methods, quantitative      see "Quantitative measurements"
 Merit, beam integration      11 13
 Merit, choosing      12—14
 Merit, diffraction-based      8—9 13
 Merit, diffusers      10—11 13
 Merit, figures of      see "Metrics"
 Merit, function      215 221—224 228—231 236—239
 Merit, geometric      9 13
 Merit, Gerchberg — Saxton      14
 Merit, irradiance mapping (non-laser)      11
 Merit, measurement      see "Measurement methods"
 Merit, optimization-based      9 14
 Merit, super-Gaussian      14
 METHODS      see also "Beam"
 Metric coefficients      327 342
 Metrics, absolute difference      5
 Metrics, choosing      6
 Metrics, minimum mean square error      5 122—124
 Metrics, peak-to-average      300 303 309
 Metrics, pitfalls      6—7
 Minimum mean square error      see "Metrics"
 Mirror      320 322 325 333
 Mirror, surface      201
 Monotonic and non-monotonic schemes      2
 Multi-faceted      273 274 276 282
 Mutual intensity      285—287
 Non-imaging beam integrator      see "Beam integration"
 Non-projective transformation      164 177 199 200 203
 Optical design      163 168 172 180 191 216 222 224 241 324
 Optical field      165
 Optical path difference (OPD)      183—184 280
 Optical path length (OPL)      163 171 178 187 203 207
 Optical surfaces      174
 Optics, sign convention      324
 Optics, surface equation      174
 Optimization      215—216 220—224 240
 Parallel processing      231
 Peak-to-average      see "Metrics"
 Phase      122
 Phase, collimated and uncollimated output      1
 Phase, conjugate      132—134
 Phase, constrained vs. unconstrained      1
 Phase, correction      131 132
 Phase, element      120 122 135 145—146
 Phase, function      127 131
 Phase, Gaussian beam      131
 Phase, positive and negative      130—131 140—141
 Phase, uniform      131
 Photo-radiometric calculations      314
 Plane wave      see "Wavefront"
 Polar, coordinates      325 333
 Polar, symmetry      200 208
 Poynting vector      53
 Profile      see "Beam"
 Projective transformation      176—177
 Propagation vector      see "Vector"
 Quantitative measurements      393—419
 Quantitative measurements,
  411—415 Quantitative measurements, beam width      395—405
 Quantitative measurements, centroid location      395
 Quantitative measurements, divergence      408
 Quantitative measurements, ellipticity      405—406
 Quantitative measurements, Gaussian fit      406—407
 Quantitative measurements, ISO standard      412—414
 Quantitative measurements, pass/fail      411
 Quantitative measurements, peak location      394
 Quantitative measurements, peak power or energy      394
 Quantitative measurements, power or energy      393—394
 Quantitative measurements, signal processing      415—419
 Quantitative measurements, statistics      408—411
 Quantitative measurements, top hat      407—408
 Quantitative measurements, wavefront phase      416—419
 Radiant energy      166
 Radiation      315
 Ray      165 167
 Ray, equation      168 188 335
 Ray, path      170
 Ray, reflected      317
 Ray, trace equations      202 203 205 314 316 332
 
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