Photoelastic and electro-optic properties of crystals:
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| Format: | Book |
| Language: | English |
| Published: |
New York (u.a.)
Plenum Pr.
1981
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIX, 514 S. graph. Darst. |
| ISBN: | 0306311011 |
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| adam_text |
PHOTOELASTIC AND ELECTRO-OPTIC PROPERTIES OF CRYSTALS T. S.
NARASIMHAMURTY OSMANIA UNIVERSITY HYDERABAD, INDIA PLENUM PRESS * NEW
YORK AND LONDON EIGENTUM DER FIRMA KURT EICHWEBER HAMBURG-ALTONA
CONTENTS SELECTED LIST OF FIGURES XXI SELECTED LIST OF TABLES XXV
NOTATION AND CONVENTIONS XXVII /. PHOTOELASTICITY OF CRYSTALS.
INTRODUCTION 1.1. DISCOVERY OF THE PHENOMENON OF PHOTOELASTICITY 1 1.2.
MATHEMATICAL FORMULATION AND NEUMANN'S CONSTANTS. POCKELS' CONTRIBUTION
1 1.3. A BRIEF HISTORICAL SURVEY 3 1.3.1. AMORPHOUS SOLIDS 3 1.3.2.
CUBIC CRYSTALS 6 1.3.3. UNIAXIAL AND BIAXIAL CRYSTALS 7 2. MATHEMATICAL
TOOLS, TENSOR PROPERTIES OF CRYSTALS, AND GEOMETRICAL CRYSTALLOGRAPHY
2.1. LINEAR TRANSFORMATIONS 9 2.1.1. COORDINATE TRANSFORMATIONS 9 2.1.2.
ORTHOGONALITY RELATIONS 10 2.1.3. THE DETERMINANT OF THE MATRIX [A L} ]
OF THE DIRECTION-COSINE SCHEME 13 2.2. MATRIX ALGEBRA 14 2.2.1.
INTRODUCTION 14 2.2.2. MATRIX ALGEBRA AND COORDINATE TRANSFORMATIONS . .
. 15 2.2.3. SOME COMMON TYPES OF MATRICES 16 2.2.4. ORTHOGONAL MATRIX 17
2.2.5. MATRIX OPERATORS AND TRANSFORMATION OF TENSOR COMPONENTS 17
2.2.6. THE DIAGONALIZATION OF A MATRIX 18 2.3. VECTORS AND THEIR
TRANSFORMATION LAWS 19 2.3.1. VECTOR COMPONENTS AND COORDINATE
TRANSFORMATIONS . 19 2.3.2. TRANSFORMATIONS OF COORDINATE DIFFERENCES 20
2.3.3. TRANSFORMATION LAW OF VECTORS 21 2.4. TENSOR NATURE OF PHYSICAL
PROPERTIES OF CRYSTALS AND THE LAWS OF TRANSFORMATION OF CARTESIAN
TENSORS 21 2.4.1. CONCEPT OF A TENSOR PROPERTY AND SOME EXAMPLES OF
TENSOR PROPERTIES 21 XV XVI CONTENTS 2.4.2. TRANSFORMATION LAW OF
CARTESIAN TENSORS 24 2.4.3. PHYSICAL PROPERTIES AND CRYSTAL SYMMETRY 28
2.5. CRYSTAL SYMMETRY AND GEOMETRICAL CRYSTALLOGRAPHY. THE 32 POINT
GROUPS 29 2.5.1. THE 32 CRYSTALLOGRAPHIC POINT GROUPS: THEIR SYMMETRY
ELEMENTS AND SOME EXAMPLES OF CRYSTALS 29 2.5.2. SOME SYMMETRY
OPERATIONS AND THEIR REPRESENTATION BY SYMBOLS 32 2.5.3. THE 32
CRYSTALLOGRAPHIC POINT GROUPS IN THE SCHOENFLIES NOTATION. GEOMETRIC
DERIVATION 33 2.6. SYMMETRY OPERATIONS AND THEIR TRANSFORMATION MATRICES
. . . 36 2.7. SYMMETRY ELEMENTS OF THE 32 POINT GROUPS 39 2.7.1.
SYMMETRY ELEMENTS OF THE 32 POINT GROUPS 39 2.7.2. COMMENTS ON THE 32
CRYSTALLOGRAPHIC POINT GROUPS AND THEIR SYMMETRY ELEMENTS AS LISTED IN
TABLES 2.3 AND 2.5A 43 2.8. NEUMANN'S PRINCIPLE AND EFFECT OF CRYSTAL
SYMMETRY ON PHYSICAL PROPERTIES 44 3. POCKELS' PHENOMENOLOGICAL THEORY
OF PHOTOELASTICITY OF CRYSTALS 3.1. INTRODUCTION 47 3.2.
PHENOMENOLOGICAL THEORY, STRESS-OPTICAL AND STRAIN-OPTICAL CONSTANTS IN
FOUR- AND TWO-SUFFIX NOTATIONS; Q TJ AND P I} MATRICES FOR THE 32
CRYSTALLOGRAPHIC POINT GROUPS 49 3.2.1. THE ASSUMPTIONS FORMING THE
BASIS OF POCKELS' THEORY 49 3.2.2. MATHEMATICAL FORMULATION OF
PHOTOELASTICITY IN TERMS OF Q IM AND P ML 50 3.2.3. MATHEMATICAL
FORMULATION OF PHOTOELASTICITY IN TERMS OF Q T J AND ** 52 3.2.4.
CRYSTAL SYMMETRY AND THE NUMBER OF PHOTOELASTIC CONSTANTS 57 3.3.
DERIVATION OF THE NONVANISHING AND INDEPENDENT PHOTOELASTIC CONSTANTS
FOR THE VARIOUS CRYSTAL CLASSES BY DIFFERENT METHODS 58 3.3.1. CLASSICAL
METHOD 64 3.3.2. TENSOR METHOD 77 3.3.3. GROUP THEORETICAL METHOD 97 4.
ELASTICITY OF CRYSTALS 4.1. INTRODUCTION 135 4.2. STRESS AND STRAIN AS
TENSORS 136 4.2.1. STRESS AS A SECOND-RANK TENSOR 136 4.2.2. STRAIN AS A
SECOND-RANK TENSOR 139 4.3. HOOKE'S LAW 142 4.3.1. GENERALIZED FORM OF
HOOKE'S LAW WITH ELASTIC CONSTANTS CY AND S I} AND THE MATRICES OF **
AND S V FOR THE 32 POINT GROUPS 142 CONTENTS XVII 4.3.2. GENERALIZED
FORM OF HOOKE'S LAW WITH ELASTIC CONSTANTS C IJKL AND S T} TI 145 4.3.3.
INTERRELATION BETWEEN ** * AND C MN AND BETWEEN S IJLC I AND S MN 151
4.4. EXPERIMENTAL METHODS OF DETERMINING * * AND S TJ ; CHRISTOFFEL'S
EQUATION AND ITS USE IN DETERMINING C V OF CRYSTALS . . . . 154 4.5.
ULTRARONICS 160 4.5.1. INTRODUCTION 160 4.5.2. DIFFRACTION OF LIGHT BY
LIQUIDS EXCITED ULTRASONICALLY . 161 4.5.3. OPTICAL METHODS OF
DETERMINING THE ULTRASONIC VELOCITIES AND ELASTIC CONSTANTS OF
TRANSPARENT SOLIDS EMPLOYING THE SCHAEFER-BERGMANN PATTERN, THE
HIEDEMANN PATTERN, AND THE LUCAS-BIQUARD EFFECT . . 165 4.5.4. MAYER AND
HIEDEMANN'S EXPERIMENTS 170 4.5.5. RAMAN-NATH THEORY OF DIFFRACTION OF
LIGHT BY ULTRASONIC WAVES 176 4.5.6. DOPPLER EFFECT AND COHERENCE
PHENOMENON 184 4.6. BRILLOUIN EFFECT AND CRYSTAL ELASTICITY 186 4.6.1.
INTRODUCTION 186 4.6.2. THEORY OF LIGHT SCATTERING IN BIREFRINGENT
CRYSTALS . . 189 4.6.3. CONCLUDING REMARKS 194 5. EXPERIMENTAL METHODS
OF DETERMINING THE PHOTOELASTIC CONSTANTS 5.1. OPTICAL BEHAVIOR OF A
SOLID UNDER A MECHANICAL STRESS, AND NEUMANN'S CONSTANTS 197 5.2.
DERIVATION OF EXPRESSIONS FOR THE STRESS BIREFRINGENCE IN TERMS OF Q I}
FOR CUBIC AND NONCUBIC CRYSTALS 198 5.2.1. STRESS BIREFRINGENCE IN CUBIC
CRYSTALS 198 5.2.2. STRESS BIREFRINGENCE IN NONCUBIC CRYSTALS 205 5.2.3.
TENSOR METHOD OF DERIVING Q' L1KT IN TERMS OF Q MNOP . 217 5.2.4.
EXPRESSION FOR THE CHANGE OF THICKNESS IN TERMS OF S TJ FOR AN
ORTHORHOMBIC CRYSTAL FOR A SPECIFIC ORIENTATION 219 5.3. EXPERIMENTAL
DETERMINATION OF Q TI AND P V BY OPTICAL METHODS 220 5.3.1. MEASUREMENT
OF STRESS BIREFRINGENCE, AND RELATIVE PATH RETARDATION 222 5.3.2.
MEASUREMENT OF ABSOLUTE PATH RETARDATION BY INTERFEROMETRIC METHODS 226
5.3.3. PHOTOELASTIC STUDIES OF OPTICALLY ACTIVE CRYSTALS . . . 231 5.4.
DISPERSION OF Q T] BY SPECTROSCOPIC METHODS 234 5.4.1. BIREFRINGENT
COMPENSATOR FOR STUDYING VERY SMALL CHANGES IN DOUBLE REFRACTION 234
5.4.2. DISPERSION OF THE INDIVIDUAL STRESS-OPTICAL COEFFICIENTS 7N AND
Q 12 OF VITREOUS SILICA 241 5.4.3. INTERFERENCE-SPECTROSCOPE METHOD OF
STUDYING THE ABSOLUTE PHOTOELASTIC COEFFICIENTS OF GLASSES AND THEIR
VARIATION WITH WAVELENGTH 243 XVIII CONTENTS 5.5. ELLIPTIC VIBRATIONS
AND ELLIPTICALLY POLARIZED LIGHT 246 5.5.1. COMPOSITION OF TWO
RECTANGULAR VIBRATIONS GIVING AN ELLIPSE: USE OF THE SENARMONT
COMPENSATOR 246 5.5.2. PHOTOMETRIC METHOD FOR THE MEASUREMENT OF
PHOTOELASTIC BIREFRINGENCE 253 5.5.3. THE POINCARE SPHERE AND ITS
APPLICATION TO THE STUDY OF THE PHOTOELASTIC BEHAVIOR OF OPTICALLY
ACTIVE CRYSTALS . 256 5.6. ULTRASONIC METHODS OF STUDYING THE
ELASTO-OPTIC BEHAVIOR OF CRYSTALS 262 5.6.1. INTRODUCTION 262 5.6.2.
MUELLER'S THEORY 263 5.6.3. EXPERIMENTAL DETERMINATION OF **/PTI BY
THREE DIFFERENT METHODS DUE TO MUELLER 269 5.6.4. PETERSEN'S METHOD OF
DETERMINING **\** 278 5.6.5. BRAGG DIFFRACTION METHOD OF DETERMINING THE
INDIVIDUAL VALUES OF PI,- 281 5.6.6. BORRELLI AND MILLER'S METHOD OF
DETERMINING THEP W OF GLASS 286 5.6.7. TECHNOLOGICAL APPLICATIONS OF THE
ACOUSTO-OPTIC EFFECT 289 5.7. BRILLOUIN SCATTERING AND PHOTOELASTICITY
OF CRYSTALS 289 6. ATOMISTIC THEORY OF PHOTOELASTICITY OF CUBIC CRYSTALS
6.1. INTRODUCTION 299 6.2. MUELLER'S THEORY*A BRIEF SURVEY 302 6.3.
EFFECT OF HYDROSTATIC PRESSURE ON THE INDEX OF REFRACTION N; THE STRAIN
POLARIZABILITY CONSTANT A 0 306 6.4. ANISOTROPY OF RJ AND X } 308 6.5.
THERMO-OPTIC BEHAVIOR OF CRYSTALS AND PHOTOELASTIC BEHAVIOR. 312 6.6.
POCKELS' PHOTOELASTIC GROUPS IN CUBIC CRYSTALS AND MUELLER'S THEORY 313
6.7. PHOTOELASTIC DISPERSION IN CUBIC CRYSTALS; A 0 AS A FUNCTION OF
CRYSTALLINE MATERIAL, WAVELENGTH OF LIGHT, AND TEMPERATURE . 315 6.8.
EFFECT OF ELASTIC DEFORMATION ON THE OSCILLATOR STRENGTHS AND DISPERSION
FREQUENCIES OF OPTICAL ELECTRONS 321 6.9. TEMPERATURE DEPENDENCE OF
STRESS-OPTICAL DISPERSION . . . . 323 6.10. REVERSAL OF THE SIGN OF
STRESS BIREFRINGENCE IN PURE AND MIXED CRYSTALS 324 6.10.1. PURE
CRYSTALS 324 6.10.2. MIXED CRYSTALS OF KCL AND KBR 325 6.11.
STRESS-OPTICAL AND STRAIN-OPTICAL ISOTROPY IN CUBIC CRYSTALS . 327 6.12.
OPTIC AXIAL ANGLE AND ITS DISPERSION IN STRESSED CUBIC CRYSTALS OF T AND
T H CLASSES 329 7. PIEZOELECTRICITY 7.1. INTRODUCTION 333 7.2. DIRECT
AND CONVERSE PIEZOELECTRIC EFFECTS 334 CONTENTS XIX 7.3. MATHEMATICAL
FORMULATION, PIEZOELECTRIC CONSTANTS * * IN TENSOR NOTATION, AND D {J IN
TWO-SUFFIX NOTATION; RELATION BETWEEN D IIK AND D (J 335 7.4. DEDUCTION
OF THE SURVIVING D M FOR SOME CRYSTAL CLASSES BY TENSOR METHOD, AND THE
D LS MATRICES FOR THE 21 NONCENTROSYMMETRIC CLASSES 338 7.5. CONCLUDING
REMARKS 344 8. ELECTRO-OPTIC EFFECTS IN CRYSTALS: POCKELS LINEAR
ELECTRO-OPTIC AND KERR QUADRATIC ELECTRO-OPTIC EFFECTS 8.1. INTRODUCTION
345 8.2. DEMONSTRATION OF THE ELECTRO-OPTIC EFFECTS, LINEAR AND
QUADRATIC 346 8.3. HISTORICAL SURVEY 347 8.3.1. EARLIER WORK 347 8.3.2.
MORE RECENT WORK 347 8.4. POCKELS' PHENOMENOLOGICAL THEORY OF THE LINEAR
ELECTRO-OPTIC EFFECT IN THREE- AND TWO-SUFFIX NOTATIONS, R M AND R W . .
. 351 8.5. DERIVATION OF THE RELATION BETWEEN THE LINEAR ELECTRO-OPTIC
CONSTANTS OF A CRYSTAL: FREE AND CLAMPED CONSTANTS . . . . 355 8.5.1.
DISCUSSION: PRIMARY AND SECONDARY ELECTRO-OPTIC EFFECTS, AND CLAMPED AND
UNDAMPED ELECTRO-OPTIC COEFFICIENTS 357 8.5.2. METHODS OF OBTAINING THE
PRIMARY AND SECONDARY LINEAR ELECTRO-OPTIC EFFECTS 358 8.6. KERR
QUADRATIC ELECTRO-OPTIC EFFECT: POCKELS' PHENOMENOLOGICAL THEORY 359
8.7. CRYSTAL SYMMETRY AND THE NUMBER OF SURVIVING LINEAR ELECTRO-OPTIC
COEFFICIENTS R IJI: AND R I} AND THEIR DEDUCTION BY TENSOR METHOD: R I}
MATRICES FOR THE 21 NONCENTROSYMMETRIC CLASSES 362 8.7.1. CRYSTAL
SYMMETRY AND THE SURVIVING LINEAR ELECTRO-OPTIC CONSTANTS 362 8.7.2.
TENSOR METHOD OF DEDUCING THE NONVANISHING INDEPENDENT R ILK 363 8.8.
DERIVATION OF THE EXPRESSIONS FOR 5 =/(R W ) FOR SOME TYPICAL CRYSTAL
CLASSES AND ORIENTATIONS 388 8.8.1. CUBIC SYSTEM: CLASSES 23 (T) AND 43M
(T D ) 388 8.8.2. TETRAGONAL SYSTEM: CLASS 42M (D 2D ) 391 8.8.3.
TRIGONAL SYSTEM: CLASS 32 (D 3 ) 394 8.9. EXPERIMENTAL METHODS OF
DETERMINING R TJ 399 8.9.1. GENERAL DESCRIPTION AND APPLICATION TO SOME
TYPICAL CRYSTAL CLASSES 399 8.9.2. SOME EXPERIMENTAL METHODS 400 8.9.3.
METHODS OF APPLYING THE ELECTRIC FIELD TO THE CRYSTAL PRISM 401 XX
CONTENTS 8.9.4. EXPERIMENTAL DETERMINATION OF R TJ IN SOME SPECIFIC
CASES OF CRYSTALS 401 8.10. SOME POINTS OF INTEREST ON THE USE OF THE
POCKELS EFFECT IN CRYSTALS, AND HALF-WAVE VOLTAGE V ?J2 409 8.11. SOME
TECHNOLOGICAL APPLICATIONS OF POCKELS CELLS (LINEAR ELECTRO-OPTIC
DEVICES) 411 8.11.1. USE OF THE ELECTRO-OPTIC EFFECT IN TECHNOLOGY . . .
. 411 8.11.2. SOME APPLICATIONS OF ELECTRO-OPTIC DEVICES 412
BIBLIOGRAPHY 421 AUTHOR INDEX 503 SUBJECT INDEX 507 |
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| indexdate | 2025-01-28T11:10:30Z |
| institution | BVB |
| isbn | 0306311011 |
| language | English |
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| physical | XXIX, 514 S. graph. Darst. |
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| publishDate | 1981 |
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| publisher | Plenum Pr. |
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| spelling | Narasimhamurty, T. S. Verfasser aut Photoelastic and electro-optic properties of crystals New York (u.a.) Plenum Pr. 1981 XXIX, 514 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Crystal optics Electrooptics Photoelasticity Photoelastizität (DE-588)4045883-0 gnd rswk-swf Kristalloptik (DE-588)4165767-6 gnd rswk-swf Kristalloptik (DE-588)4165767-6 s Photoelastizität (DE-588)4045883-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001406011&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Narasimhamurty, T. S. Photoelastic and electro-optic properties of crystals Crystal optics Electrooptics Photoelasticity Photoelastizität (DE-588)4045883-0 gnd Kristalloptik (DE-588)4165767-6 gnd |
| subject_GND | (DE-588)4045883-0 (DE-588)4165767-6 |
| title | Photoelastic and electro-optic properties of crystals |
| title_auth | Photoelastic and electro-optic properties of crystals |
| title_exact_search | Photoelastic and electro-optic properties of crystals |
| title_full | Photoelastic and electro-optic properties of crystals |
| title_fullStr | Photoelastic and electro-optic properties of crystals |
| title_full_unstemmed | Photoelastic and electro-optic properties of crystals |
| title_short | Photoelastic and electro-optic properties of crystals |
| title_sort | photoelastic and electro optic properties of crystals |
| topic | Crystal optics Electrooptics Photoelasticity Photoelastizität (DE-588)4045883-0 gnd Kristalloptik (DE-588)4165767-6 gnd |
| topic_facet | Crystal optics Electrooptics Photoelasticity Photoelastizität Kristalloptik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001406011&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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