Optical imaging and aberrations: 1 Ray geometrical optics
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| Format: | Book |
| Language: | English |
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Bellingham, Wash.
SPIE Optical Engineering Press
1998
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| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIII, 469 S. Ill., graph. Darst. |
| ISBN: | 081942515X |
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| 100 | 1 | |a Mahajan, Virendra N. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Optical imaging and aberrations |n 1 |p Ray geometrical optics |c Virendra N. Mahajan |
| 264 | 1 | |a Bellingham, Wash. |b SPIE Optical Engineering Press |c 1998 | |
| 300 | |a XXIII, 469 S. |b Ill., graph. Darst. | ||
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OPTICAL IMAGING AND ABERRATIONS PARTI RAY GEOMETRICAL OPTICS VIRENDRA N.
MAHAJAN THE AEROSPACE CORPORATION AND THE UNIVERSITY OF SOUTHERN
CALIFORNIA S P I E O P T I C A L E N G I N E E R I N G P R E S S A
PUBLICATION OF SPIE*THE INTERNATIONAL SOCIETY FOR OPTICAL ENGINEERING
BELLINGHAM, WASHINGTON USA TABLE OF CONTENTS PART I. RAY GEOMETRICAL
OPTICS PREFACE XVII ACKNOWLEDGMENTS XXI SYMBOLS AND NOTATION XXIII
CHAPTER 1: GAUSSIAN OPTICS 1 1.1 INTRODUCTION 3 1.2 FOUNDATIONS OF
GEOMETRICAL OPTICS 5 1.2.1 FERMAT'S PRINCIPLE 5 1.2.2 LAWS OF
GEOMETRICAL OPTICS 8 1.2.3 OPTICAL PATH LENGTHS OF NEIGHBORING RAYS 10
1.2.4 MALUS-DUPIN THEOREM 11 1.2.5 HAMILTON'S POINT CHARACTERISTIC
FUNCTION AND DIRECTION OF A RAY 13 1.3 GAUSSIAN IMAGING 14 1.3.1
INTRODUCTION 14 1.3.2 SIGN CONVENTION 14 1.3.3 SPHERICAL REFRACTING
SURFACE 15 1.3.3.1 GAUSSIAN IMAGING EQUATION 15 1.3.3.2 FOCAL LENGTHS
AND REFRACTING POWER 18 1.3.3.3 MAGNIFICATIONS AND LAGRANGE INVARIANT 19
1.3.3.4 GRAPHICAL IMAGING 22 1.3.3.5 NEWTONIAN IMAGING EQUATION 24 1.3.4
THIN LENS 24 1.3.4.1 GAUSSIAN IMAGING EQUATION 24 1.3.4.2 FOCAL LENGTHS
AND REFRACTING POWER 25 1.3.4.3 UNDEVIATED RAY 26 1.3.4.4 MAGNIFICATIONS
AND LAGRANGE INVARIANT 28 1.3.4.5 NEWTONIAN IMAGING EQUATION 30 1.3.5
REFRACTING SYSTEMS 31 1.3.5.1 CARDINAL POINTS AND PLANES 31 1.3.5.2
GAUSSIAN IMAGING, FOCAL LENGTHS, AND MAGNIFICATIONS 33 1.3.5.3 NODAL
POINTS 36 1.3.5.4 NEWTONIAN IMAGING EQUATION 38 1.3.6 AFOCAL SYSTEMS 38
1.3.7 SPHERICAL REFLECTING SURFACE (SPHERICAL MIRROR) 42 1.3.7.1
GAUSSIAN IMAGING EQUATION 42 1.3.7.2 FOCAL LENGTH AND REFLECTING POWER
44 1.3.7.3 MAGNIFICATIONS AND LAGRANGE INVARIANT 46 1.3.7.4 GRAPHICAL
IMAGING 49 1.3.7.5 NEWTONIAN IMAGING EQUATION 52 IX 1.4 PARAXIAL RAY
TRACING 52 1.4.1 REFRACTING SURFACE 52 1.4.2 THIN LENS 54 1.4.3 TWO THIN
LENSES 57 1.4.4 THICK LENS 59 1.4.5 REFLECTING SURFACE (MIRROR) 62 1.4.6
TWO-MIRROR SYSTEM 65 1.4.7 CATADIOPTRIC SYSTEM: THIN LENS-MIRROR
COMBINATION 67 1.5 TWO-RAY LAGRANGE INVARIANT 69 1.6 MATRIX APPROACH TO
PARAXIAL RAY TRACING AND GAUSSIAN OPTICS 73 1.6.1 INTRODUCTION 73 1.6.2
SYSTEM MATRIX 73 1.6.3 CONJUGATE MATRIX 77 1.6.4 SYSTEM MATRIX IN TERMS
OF GAUSSIAN PARAMETERS 81 1.6.5 GAUSSIAN IMAGING EQUATIONS 81 REFERENCES
.- 84 PROBLEMS 85 CHAPTER 2: RADIOMETRY OF IMAGING 89 2.1 INTRODUCTION
91 2.2 STOPS, PUPILS, AND VIGNETTING 92 2.2.1 INTRODUCTION 92 2.2.2
APERTURE STOP, AND ENTRANCE AND EXIT PUPILS 92 2.2.3 CHIEF AND MARGINAL
RAYS 94 2.2.4 VIGNETTING 95 2.2.5 SIZE OF AN IMAGING ELEMENT 98 2.2.6
TELECENTRIC APERTURE STOP 98 2.2.7 FIELD STOP, AND ENTRANCE AND EXIT
WINDOWS 98 2.3 RADIOMETRY OF POINT SOURCES 100 2.3.1 IRRADIANCE OF A
SURFACE 100 2.3.2 FLUX INCIDENT ON A CIRCULAR APERTURE 103 2.4
RADIOMETRY OF EXTENDED SOURCES 104 2.4.1 LAMBERTIAN SURFACE 104 2.4.2
EXITANCE OF A LAMBERTIAN SURFACE 105 2.4.3 RADIANCE OF A TUBE OF RAYS
106 2.4.4 IRRADIANCE BY A LAMBERTIAN SURFACE ELEMENT 107 2.4.5
IRRADIANCE BY A LAMBERTIAN DISC 108 2.5 RADIOMETRY OF POINT OBJECT
IMAGING 112 2.6 RADIOMETRY OF EXTENDED OBJECT IMAGING 114 2.6.1 IMAGE
RADIANCE 114 2.6.2 PUPIL DISTORTION 117 2.6.3 IMAGE IRRADIANCE: APERTURE
STOP IN FRONT OF THE SYSTEM 118 2.6.4 IMAGE IRRADIANCE: APERTURE STOP IN
BACK OF THE SYSTEM 121 X 2.6.5 TELECENTRIC SYSTEMS 123 2.6.6 THROUGHPUT
123 2.6.7 CONDITION FOR UNIFORM IMAGE IRRADIANCE 123 2.6.8 CONCENTRIC
SYSTEMS 125 2.7 PHOTOMETRY 126 2.7.1 PHOTOMETRIC QUANTITIES AND SPECTRAL
RESPONSE OF THE HUMAN EYE 126 2.7.2 IMAGING BY A HUMAN EYE 127 2.7.3
BRIGHTNESS OF A LAMBERTIAN SURFACE 129 2.7.4 OBSERVING STARS IN THE
DAYTIME 130 APPENDIX: RADIANCE THEOREM 134 REFERENCES 136 PROBLEMS 137
CHAPTER 3: OPTICAL ABERRATIONS 139 3.1 INTRODUCTION 141 3.2 WAVE AND RAY
ABERRATIONS 142 3.2.1 DEFINITIONS 142 3.2.2 RELATIONSHIP BETWEEN WAVE
AND RAY ABERRATIONS 145 3.3 DEFOCUS ABERRATION 148 3.4 WAVEFRONTTILT 150
3.5 ABERRATION FUNCTION OF A ROTATIONALLY SYMMETRIC SYSTEM 152 3.5.1
ROTATIONAL INVARIANTS 152 3.5.2 POWER-SERIES EXPANSION 155 3.5.2.1
EXPLICIT DEPENDENCE ON OBJECT COORDINATES 156 3.5.2.2 NO EXPLICIT
DEPENDENCE ON OBJECT COORDINATES 159 3.5.3 ZERNIKE CIRCLE-POLYNOMIAL
EXPANSION 163 3.5.4 RELATIONSHIPS BETWEEN COEFFICIENTS OF POWER-SERIES
AND ZERNIKE POLYNOMIAL EXPANSIONS 168 3.6 OBSERVATION OF ABERRATIONS 169
3.6. 1 PRIMARY ABERRATIONS 172 3.6.2 INTERFEROGRAMS 173 3.7 CONDITIONS
FOR PERFECT IMAGING 178 3.7.1 IMAGING OF **-D OBJECT 178 3.7.2 IMAGING
OF A 2-D TRANSVERSE OBJECT 181 3.7.3 IMAGING OF A 1-D AXIAL OBJECT 183
3.7.4 LINEAR COMA AND THE SINE CONDITION 184 3.7.5 OPTICAL SINE THEOREM
186 3.7.6 LINEAR COMA AND OFFENSE AGAINST THE SINE CONDITION 188
APPENDIX A: DEGREE OF APPROXIMATION IN EQ. (3-11) 192 APPENDIX B: WAVE
AND RAY ABERRATIONS: ALTERNATIVE DEFINITION AND DERIVATION 194
REFERENCES 200 PROBLEMS 201 XI CHAPTER 4: GEOMETRICAL POINT-SPREAD
FUNCTION 203 4.1 INTRODUCTION 205 4.2 THEORY 205 4.3 APPLICATION TO
PRIMARY ABERRATIONS 209 4.3.1 SPHERICAL ABERRATION 210 4.3.2 COMA 217
4.3.3 ASTIGMATISM AND FIELD CURVATURE 224 4.3.4 DISTORTION 233 4.4
BALANCED ABERRATIONS FOR MINIMUM RMS SPOT RADIUS 235 4.5 SPOT DIAGRAMS
236 4.6 SUMMARY OF RESULTS 239 4.6. 1 SPHERICAL ABERRATION 240 4.6.2
COMA 240 4.6.3 ASTIGMATISM AND FIELD CURVATURE 241 4.6.4 DISTORTION 242
4.6.5 ABERRATION TOLERANCE 242 REFERENCES 243 PROBLEMS 244 CHAPTER 5:
CALCULATION OF PRIMARY ABERRATIONS: REFRACTING SYSTEMS 245 5.1
INTRODUCTION 247 5.2 SPHERICAL REFRACTING SURFACE WITH APERTURE STOP AT
THE SURFACE 249 5.2.1 ON-AXIS POINTOBJECT 249 5.2.2 OFF-AXIS POINT
OBJECT 252 5.2.2.1 ABERRATIONS WITH RESPECT TO PETZVAL IMAGE POINT 253
5.2.2.2 ABERRATIONS WITH RESPECT TO GAUSSIAN IMAGE POINT 259 5.3
SPHERICAL REFRACTING SURFACE WITH APERTURE STOP NOT AT THE SURFACE 261
5.3.1 ON-AXIS POINTOBJECT 262 5.3.2 OFF-AXIS POINT OBJECT 264 5.4
APLANATIC POINTS OF A SPHERICAL REFRACTING SURFACE 266 5.5 CONIC
REFRACTING SURFACE 271 5.5.1 SAG OF A CONIC SURFACE 271 5.5.2 ON-AXIS
POINT OBJECT 275 5.5.3 OFF-AXIS POINT OBJECT 278 5.6 GENERAL ASPHERICAL
REFRACTING SURFACE 281 5.7 SERIES OF COAXIAL REFRACTING (AND REFLECTING)
SURFACES 281 5.7.1 GENERAL IMAGING SYSTEM 282 5.7.2 PETZVAL CURVATURE
AND CORRESPONDING FIELD CURVATURE WAVE ABERRATION . 282 5.7.3
RELATIONSHIP AMONG PETZVAL CURVATURE, FIELD CURVATURE, AND ASTIGMATISM
WAVE ABERRATION COEFFICIENTS 287 XII 5.8 ABERRATION FUNCTION IN TERMS OF
SEIDEL SUMS OR SEIDEL COEFFICIENTS 287 5.9 EFFECT OF CHANGE IN APERTURE
STOP POSITION ON THE ABERRATION FUNCTION 290 5.9.1 CHANGE OF PEAK
ABERRATION COEFFICIENTS 291 5.9.2 ILLUSTRATION OF THE EFFECT OF
APERTURE-STOP SHIFT ON COMA AND DISTORTION 295 5.9.3 ABERRATIONS OF A
SPHERICAL REFRACTING SURFACE WITH APERTURE STOP NOT AT THE SURFACE
OBTAINED FROM THOSE WITH STOP AT THE SURFACE 297 5.10 THIN LENS 299
5.10.1 IMAGING RELATIONS 300 5.10.2 THIN LENS WITH SPHERICAL SURFACES
AND APERTURE STOP AT THE LENS 301 5.10.3 PETZVAL SURFACE 306 5.10.4
SPHERICAL ABERRATION AND COMA 307 5.10.5 APLANATIC LENS 310 5.10.6 THIN
LENS WITH CONIC SURFACES 312 5.10.7 THIN LENS WITH APERTURE STOP NOT AT
THE LENS 313 5.11 FIELD FLATTENER 314 5.11.1 IMAGING RELATIONS 315
5.11.2 ABERRATION FUNCTION 316 5.12 PLANE-PARALLEL PLATE 318 5.12.1
INTRODUCTION 318 5.12.2 IMAGING RELATIONS 318 5.12.3 ABERRATION FUNCTION
321 5.13 CHROMATIC ABERRATIONS 323 5.13.1 INTRODUCTION 323 5.13.2 SINGLE
REFRACTING SURFACE 323 5.13.3 THIN LENS 327 5.13.4 GENERAL SYSTEM:
SURFACE-BY-SURFACE APPROACH 331 5.13.5 GENERAL SYSTEM: USE OF PRINCIPAL
AND FOCAL POINTS 336 5.13.6 CHROMATIC ABERRATIONS AS WAVE ABERRATIONS
347 5.14 SYMMETRICAL PRINCIPLE 348 5.15 PUPIL ABERRATIONS AND
CONJUGATE-SHIFT EQUATIONS 349 5.15.1 INTRODUCTION 349 5.15.2 PUPIL
ABERRATIONS 350 5.15.3 CONJUGATE-SHIFT EQUATIONS 355 5.15.4 INVARIANCE
OF IMAGE ABERRATIONS 357 5.15.5 SIMULTANEOUS CORRECTION OF ABERRATIONS
FOR TWO OR MORE OBJECT POSITIONS 358 REFERENCES 360 PROBLEMS 361 XIII
CHAPTER 6: CALCULATION OF PRIMARY ABERRATIONS: REFLECTING AND
CATADIOPTRIC SYSTEMS 365 6.1 INTRODUCTION 367 6.2 CONIC REFLECTING
SURFACE 367 6.2.1 CONIC SURFACE 367 6.2.2 IMAGING RELATIONS 370 6.2.3
ABERRATION FUNCTION 370 6.3 PETZVAL SURFACE 375 6.4 SPHERICAL MIRROR 377
6.4.1 ABERRATION FUNCTION AND APLANATIC POINTS FOR ARBITRARY LOCATION OF
APERTURE STOP 377 6.4.2 APERTURE STOP AT THE MIRROR SURFACE 379 6.4.3
APERTURE STOP AT THE CENTER OF CURVATURE OF MIRROR 38 1 6.5 PARABOLOIDAL
MIRROR 384 6.6 CATADIOPTRIC SYSTEMS 385 6.6.1 INTRODUCTION 385 6.6.2
SCHMIDT CAMERA 385 6.6.3 BOUWERS-MAKSUTOV CAMERA 394 6.7 BEAM EXPANDER
398 6.7.1 INTRODUCTION 398 6.7.2 GAUSSIAN PARAMETERS 398 6.7.3
ABERRATION CONTRIBUTED BY PRIMARY MIRROR 400 6.7.4 ABERRATION
CONTRIBUTED BY SECONDARY MIRROR 401 6.7.5 SYSTEM ABERRATION 402 6.8
TWO-MIRROR ASTRONOMICAL TELESCOPES 402 6.8.1 INTRODUCTION 402 6.8.2
GAUSSIAN PARAMETERS 403 6.8.3 PETZVAL SURFACE 408 6.8.4 ABERRATION
CONTRIBUTED BY PRIMARY MIRROR 408 6.8.5 ABERRATION CONTRIBUTED BY
SECONDARY MIRROR 410 6.8.6 SYSTEM ABERRATION 412 6.8.7 CLASSICAL
CASSEGRAIN AND GREGORIAN TELESCOPES 413 6.8.8 APLANATIC CASSEGRAIN AND
GREGORIAN TELESCOPES 416 6.8.9 AFOCAL TELESCOPE 416 6.8.10 COUDER
ANASTIGMATIC TELESCOPES 417 6.8.11 SCHWARZSCHILD TELESCOPE 418 6.8.12
DALL-KIRKHAM TELESCOPE 420 6.9 ASTRONOMICAL TELESCOPES USING ASPHERIC
PLATES 422 6.9.1 INTRODUCTION 422 6.9.2 ASPHERIC PLATE IN A DIVERGING
OBJECT BEAM 422 6.9.3 ASPHERIC PLATE IN A CONVERGING IMAGE BEAM 425
6.9.4 ASPHERIC PLATE AND A CONIC MIRROR 426 6.9.5 ASPHERIC PLATE AND A
TWO-MIRROR TELESCOPE 428 XIV REFERENCES 431 PROBLEMS 432 CHAPTER 7:
CALCULATION OF PRIMARY ABERRATIONS: PERTURBED OPTICAL SYSTEMS 435 7.1
INTRODUCTION 437 7.2 ABERRATIONS OF A MISALIGNED SURFACE 438 7.2.1
DECENTERED SURFACE 438 7.2.2 TILTED SURFACE 442 7.2.3 DESPACED SURFACE
444 7.3 ABERRATIONS OF PERTURBED TWO-MIRROR TELESCOPES 445 7.3.1
DECENTERED SECONDARY MIRROR 445 7.3.2 TILTED SECONDARY MIRROR 447 7.3.3
DECENTERED AND TILTED SECONDARY MIRROR 448 7.3.4 DESPACED SECONDARY
MIRROR 451 7.4 FABRICATION ERRORS 454 7.4.1 REFRACTING SURFACE 454 7.4.2
REFLECTING SURFACE 456 REFERENCES 458 PROBLEMS 459 BIBLIOGRAPHY 461
INDEX 463 XV |
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| id | DE-604.BV012604493 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T08:30:41Z |
| institution | BVB |
| isbn | 081942515X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008560197 |
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| owner_facet | DE-19 DE-BY-UBM DE-92 DE-703 |
| physical | XXIII, 469 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | SPIE Optical Engineering Press |
| record_format | marc |
| spelling | Mahajan, Virendra N. Verfasser aut Optical imaging and aberrations 1 Ray geometrical optics Virendra N. Mahajan Bellingham, Wash. SPIE Optical Engineering Press 1998 XXIII, 469 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier (DE-604)BV012604491 1 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008560197&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mahajan, Virendra N. Optical imaging and aberrations |
| title | Optical imaging and aberrations |
| title_auth | Optical imaging and aberrations |
| title_exact_search | Optical imaging and aberrations |
| title_full | Optical imaging and aberrations 1 Ray geometrical optics Virendra N. Mahajan |
| title_fullStr | Optical imaging and aberrations 1 Ray geometrical optics Virendra N. Mahajan |
| title_full_unstemmed | Optical imaging and aberrations 1 Ray geometrical optics Virendra N. Mahajan |
| title_short | Optical imaging and aberrations |
| title_sort | optical imaging and aberrations ray geometrical optics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008560197&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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