Progress in Optics (eBook)

Front Cover 1
Progress in Optics, Volume III 6
Copyright Page 7
Contents 10
Preface 8
CHAPTER I. THE ELEMENTS OF RADIATIVE TRANSFER 14
1. HISTORY OF RADIATIVE TRANSFER 16
2. INTRODUCTION 18
3. FUNDAMENTAL CONCEPTS 20
4. EQUATION OF RADIATIVE TRANSFER 21
5. FORMAL SOLUTION OF THE EQUATION OF RADIATIVE TRANSFER 23
6. SCHWARZSCHILD–MILNE INTEGRAL EQUATION 25
7. SCHUSTER-SCHWARZSCHILD APPROXIMATION 25
8. APPROXIMATE COMPUTATION O F THE SOURCE FUNCTION FROM THE TWO SCHUSTER EQUATIONS 27
9. BOUNDARY CONDITIONS FOR UNIFORMLY DIFFUSE INCIDENCE 28
10. SECOND APPROXIMATION 28
11. DISCUSSION 29
12. SPECIAL CASE: COMPARISON OF THE SCHUSTER–SCHWARZSCHILD APPROXIMATION AND THE EXACT SOLUTION OF THE SCHWARZSCHILD–MILNE EQUATION 31
13. RUSSIAN ANALOGY TO THE SCHUSTER–SCHWARZSCHILD APPROXIMATION 34
14. COLLIMATED INCIDENCE 35
15. BOUNDARY CONDITIONS FOR COLLIMATED INCIDENCE 37
16. FORMAL INTEGRATION FOR COLLIMATED INCIDENCE 38
17. CONCLUDING REMARKS 39
REFERENCES 40
CHAPTER II. APODISATION 42
1. INTRODUCTION 44
2. CLASSIFICATION OF CASES AND METHODS 46
3. RESULTS FOR CERTAIN PUPIL FUNCTIONS T ( x ) OR T ( v ) CHOSEN A PRIOR1 62
4. GENERAL PROPERTIES OF PUPILS WITH NON-UNIFORM TRANSMISSION T ( x ) OR T ( v ) AND THE ASSOCIATED DIFFRACTION PATTERN A( € ) OR A ( p ) 73
5. SYSTEMATIC SEARCH FOR PUPIL FUNCTIONS WITH APODISING PROPERTIES 85
6. NUMERICAL RESULTS AND DISCUSSION 109
7. THE APODISATION OF ANTENNA BEAMS. A COMPARISON WITH THE CORRESPONDING OPTICAL PROBLEM 125
8. MISCELLANEOUS PROBLEMS 135
9. PRODUCTION AND APPLICATIONS OF APODISERS 142
10. APODISATION A POSTERIORI (APODISATION BY CONVOLUTION) 153
APPENDIX A. APODISATION IN CLASSICAL SPECTROSCOPIC DEVICES 164
APPENDIX B. APODISATION IN FOURIER TRANSFORM SPECTROSCOPY 179
APPENDIX C. APODISATION IN THE CASE OF SISAM 188
APPENDIX D. APODISATION IN THE CASE OF THE GIRARD SPECTROMETER 194
ACKNOWLEDGEMENT 201
REFERENCES 201
CHAPTER III. MATRIX TREATMENT OF PARTIAL COHERENCE 204
1. INTRODUCTION 206
2. PRELIMINARY CONSIDERATIONS 207
3. ORTHOGONAL EXPANSIONS FOR WAVE AMPLITUDE 219
4. INTENSITY MATRIX 224
5. TRANSMISSION MATRIX 264
6. DETECTION MATRIX 280
7. PROBABILITY DISTRIBUTION OF WAVE AMPLITUDES AND THERMO- DYNAMIC ENTROPY 291
8. TWO-DIMENSIONAL WAVE FIELD 319
9. POLYCHROMATIC LIGHT 326
10. RELATED SUBJECTS 331
ACKNOWLEDGEMENTS 333
APPENDICES 334
REFERENCES 343
AUTHOR INDEX 350
SUBJECT INDEX 354