Determination of the complex amplitude of monochromatic light from a set of intensity observations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Bremen
BIAS
2011
|
| Series: | Strahltechnik
47 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 88 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783933762412 |
Staff View
MARC
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| 245 | 1 | 0 | |a Determination of the complex amplitude of monochromatic light from a set of intensity observations |c von Mostafa Ahmed Ali Agour. [Bias, Bremer Institut für Angewandte Strahltechnik] |
| 264 | 1 | |a Bremen |b BIAS |c 2011 | |
| 300 | |a VIII, 88 S. |b Ill., graph. Darst. |c 21 cm | ||
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Record in the Search Index
| _version_ | 1804148956218785792 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1. INTRODUCTION 1
1.1. AIM OF THE WORK 3
1.2. STRUCTURE OF THE THESIS 3
2. BASIC PRINCIPLES OF THE DESCRIPTION OF A LIGHT FIELD 5
2.1. LIGHT AS AN ELECTROMAGNETIC WAVE 5
2.2. DESCRIPTION OF A LIGHT FIELD WITHIN THE SCOPE OF THE SCALAR WAVE
THEORY . 5 2.2.1. MAXWELL S EQUATIONS AND THE SCALAR WAVE EQUATION 5
2.2.2. THE HELMHOLTZ EQUATION 7
2.3. PHYSICAL PROPERTIES OF LIGHT WAVES 8
2.3.1. INTENSITY OF LIGHT WAVES 8
2.3.2. PHASE OF LIGHT WAVES 9
3. STATE OF THE ART OF WAVE FIELD ANALYSIS 13
3.1. INTERFERENCE BASED METHODS 13
3.1.1. GENERAL PRINCIPLE 13
3.1.2. METHODS BASED ON A REFERENCE WAVE 17
3.1.3. METHODS BASED ON SELF REFERENCE 18
3.1.4. LIMITATIONS OF INTERFERENCE BASED METHODS 19
3.2. SHACK-HARTMANN SENSOR 20
3.2.1. COMPLEX AMPLITUDE DETERMINATION 21
3.2.2. LIMITATIONS OF A SHACK-HARTMANN WAVE FRONT SENSOR 22 3.3. PHASE
RETRIEVAL 22
3.3.1. DETERMINISTIC METHODS 23
3.3.2. ITERATIVE METHODS 24
3.3.3. LIMITATIONS OF PHASE RETRIEVAL METHODS 26
4. DETERMINATION OF THE COMPLEX AMPLITUDE: ANALYTICAL APPROACH 27 4.1.
RELATIOASHIP BETWEEN INTENSITY AND PHASE 27
4.2. HYPOTHESIS 28
4.3. ANALYTICAL MODELING OF THE PHASE RETRIEVAL PROBLEM 29
4.4. THE BASIC IDEA OF THE PROPOSED ALGORITHM 31
4.4.1. ITERATIVE SCHEME TO FIND THE FIXED POINT 31
4.4.2. INITIAL STARTING POINT 32
4.4.3. ASSESSMENT CRITERION 33
4.4.4. IMPLEMENTATION BY MEANS OF THE CONJUGATE GRADIENT METHOD . . 34
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1018716343
DIGITALISIERT DURCH
IMAGE 2
VI CONTENTS
4.5. THE GRADIENT OF THE ERROR METRIC 36
4.5.1. GRADIENT DERIVATION OF THE ERROR METRIC 36
4.5.2. SIMPLIFYING THE GRADIENT OF THE ERROR METRIC 37
4.6. THE PROPOSED FORWARD PROPAGATION VERSUS FREE SPACE PROPAGATION . .
.. 40 4.7. TRADE-OFF BETWEEN THE LINEARITY AND THE DIVERSITY OF CAPTURED
INTENSITIES 43 4.8. NUMERICAL COMPARISON 50
5. DETERMINATION OF THE COMPLEX AMPLITUDE: EXPERIMENTAL VERIFICATION 51
5.1. CONCEPT OF AN EXPERIMENTAL SETUP 51
5.1.1. WAVE FIELD PROPAGATION AS A LINEAR SYSTEM 51
5.1.2. CONTROLLING THE SPATIAL LIGHT MODULATOR 54
5.1.3. PROPERTIES OF THE WAVE FIELD GENERATED ACROSS THE SENSOR DOMAIN
55 5.1.4. ALIGNMENT IN THE SLM BASED PHASE RETRIEVAL TECHNIQUE 56 5.2.
EXPERIMENTAL IMPLEMENTATION 60
5.2.1. CONSTRUCTION OF THE EXPERIMENTAL SETUP 60
5.2.2. ALIGNMENT OF THE SETUP 61
5.2.3. INVESTIGATION OF THE SPECKLE FIELD BY MEANS OF PHASE RETRIEVAL .
. 64 5.2.4. INVESTIGATION OF THE SPECKLE FIELD BY MEANS OF
INTERFEROMETRY . . 65 5.2.5. COMPARISON OF THE RESULTS 66
5.3. PHASE RETRIEVAL AS AN APPLICATION TO DIGITAL HOLOGRAPHY 68
6. SUMMARY AND FUTURE WORK 71
6.1. FUTURE WORK 73
6.2. POSSIBLE APPLICATIONS 73
A. MATHEMATICAL DERIVATIONS 75
A.I. DIFFERENTIATION OF PHASE 75
A.2. DERIVING AN APPROXIMATION OF THE INITIAL PHASE GUESS 76
A.3. PROPERTIES OF THE DOUBLE FOURIER TRANSFORM IMPLEMENTED BY THE SETUP
. 77 A.4. SIMPLIFYING THE EXPRESSION OF THE SHIFTED TRANSFER FUNCTION 78
BIBLIOGRAPHY 81
|
| any_adam_object | 1 |
| author | Agour, Mostafa Ahmed Ali |
| author_GND | (DE-588)1018868208 |
| author_facet | Agour, Mostafa Ahmed Ali |
| author_role | aut |
| author_sort | Agour, Mostafa Ahmed Ali |
| author_variant | m a a a maa maaa |
| building | Verbundindex |
| bvnumber | BV039975648 |
| ctrlnum | (OCoLC)783215305 (DE-599)DNB1018716343 |
| dewey-full | 535.13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.13 |
| dewey-search | 535.13 |
| dewey-sort | 3535.13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Thesis Book |
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| id | DE-604.BV039975648 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:15:22Z |
| institution | BVB |
| isbn | 9783933762412 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024833078 |
| oclc_num | 783215305 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | VIII, 88 S. Ill., graph. Darst. 21 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | BIAS |
| record_format | marc |
| series | Strahltechnik |
| series2 | Strahltechnik |
| spelling | Agour, Mostafa Ahmed Ali Verfasser (DE-588)1018868208 aut Determination of the complex amplitude of monochromatic light from a set of intensity observations von Mostafa Ahmed Ali Agour. [Bias, Bremer Institut für Angewandte Strahltechnik] Bremen BIAS 2011 VIII, 88 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Strahltechnik 47 Zugl.: Bremen, Univ., Diss., 2011 (DE-588)4113937-9 Hochschulschrift gnd-content Strahltechnik 47 (DE-604)BV012403815 47 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024833078&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Agour, Mostafa Ahmed Ali Determination of the complex amplitude of monochromatic light from a set of intensity observations Strahltechnik |
| subject_GND | (DE-588)4113937-9 |
| title | Determination of the complex amplitude of monochromatic light from a set of intensity observations |
| title_auth | Determination of the complex amplitude of monochromatic light from a set of intensity observations |
| title_exact_search | Determination of the complex amplitude of monochromatic light from a set of intensity observations |
| title_full | Determination of the complex amplitude of monochromatic light from a set of intensity observations von Mostafa Ahmed Ali Agour. [Bias, Bremer Institut für Angewandte Strahltechnik] |
| title_fullStr | Determination of the complex amplitude of monochromatic light from a set of intensity observations von Mostafa Ahmed Ali Agour. [Bias, Bremer Institut für Angewandte Strahltechnik] |
| title_full_unstemmed | Determination of the complex amplitude of monochromatic light from a set of intensity observations von Mostafa Ahmed Ali Agour. [Bias, Bremer Institut für Angewandte Strahltechnik] |
| title_short | Determination of the complex amplitude of monochromatic light from a set of intensity observations |
| title_sort | determination of the complex amplitude of monochromatic light from a set of intensity observations |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024833078&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012403815 |
| work_keys_str_mv | AT agourmostafaahmedali determinationofthecomplexamplitudeofmonochromaticlightfromasetofintensityobservations |