Electromagnetic noise and quantum optical measurements: with 117 problems ; with 41 selected solutions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Schriftenreihe: | Advanced texts in physics
Physics and astronomy online library |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 562 S. Ill., graph. Darst. |
| ISBN: | 3540652728 |
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| 100 | 1 | |a Haus, Hermann A. |d 1925- |e Verfasser |0 (DE-588)121645495 |4 aut | |
| 245 | 1 | 0 | |a Electromagnetic noise and quantum optical measurements |b with 117 problems ; with 41 selected solutions |c Hermann A. Haus |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a XV, 562 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Advanced texts in physics | |
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| 650 | 4 | |a Quantenoptik - Rauschen | |
| 650 | 4 | |a Electromagnetic noise |x Measurement | |
| 650 | 4 | |a Electronic circuits |x Noise | |
| 650 | 4 | |a Interference (Light) | |
| 650 | 4 | |a Optoelectronic devices |x Noise | |
| 650 | 4 | |a Quantum optics |x Measurement | |
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Datensatz im Suchindex
| _version_ | 1804127711519571968 |
|---|---|
| adam_text | CONTENTS INTRODUCTION
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 1 1.
MAXWELL*S EQUATIONS, POWER, AND ENERGY ::::::::::::::::: 11 1.1
MAXWELL*S FIELD EQUATIONS . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 11 1.2 POYNTING*S THEOREM . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 15 1.3 ENERGY AND POWER
RELATIONS AND SYMMETRY OF THE TENSOR * . 17 1.4 UNIQUENESS THEOREM . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.5
THE COMPLEX MAXWELL*S EQUATIONS . . . . . . . . . . . . . . . . . . . .
. . . 23 1.6 OPERATIONS WITH COMPLEX VECTORS . . . . . . . . . . . . . .
. . . . . . . . . 25 1.7 THE COMPLEX POYNTING THEOREM . . . . . . . . .
. . . . . . . . . . . . . . . 28 1.8 THE RECIPROCITY THEOREM . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 33 1.9 SUMMARY . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 34 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 35 SOLUTIONS . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 37 2. WAVEGUIDES AND RESONATORS
:::::::::::::::::::::::::::::: 39 2.1 THE FUNDAMENTAL EQUATIONS OF
HOMOGENEOUS ISOTROPIC WAVEGUIDES . . . . . . . . . . . . . . . . . . . .
39 2.2 TRANSVERSE ELECTROMAGNETIC WAVES . . . . . . . . . . . . . . . .
. . . . . . . 44 2.3 TRANSVERSE MAGNETIC WAVES . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 47 2.4 TRANSVERSE ELECTRIC WAVES . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 53 2.4.1 MODE
EXPANSIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 56 2.5 ENERGY, POWER, AND ENERGY VELOCITY . . . . . . . . . . . . . .
. . . . . . . . 59 2.5.1 THE ENERGY THEOREM . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 59 2.5.2 ENERGY VELOCITY AND GROUP VELOCITY
. . . . . . . . . . . . . . . 60 2.5.3 ENERGY RELATIONS FOR WAVEGUIDE
MODES . . . . . . . . . . . . . 61 2.5.4 A PERTURBATION EXAMPLE . . . .
. . . . . . . . . . . . . . . . . . . . . 62 2.6 THE MODES OF A CLOSED
CAVITY . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 2.7 REAL
CHARACTER OF EIGENVALUES AND ORTHOGONALITY OF MODES . 67 2.8
ELECTROMAGNETIC FIELD INSIDE A CLOSED CAVITY WITH SOURCES . . 72 2.9
ANALYSIS OF OPEN CAVITY . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 74 2.10 OPEN CAVITY WITH SINGLE INPUT . . . . . . . . .
. . . . . . . . . . . . . . . . . 77 2.10.1 THE RESONATOR AND THE ENERGY
THEOREM. . . . . . . . . . . . 78 VI CONTENTS 2.10.2 PERTURBATION THEORY
AND THE GENERIC FORM OF THE IMPEDANCE EXPRESSION . . . . . . . . . . . .
. . . . . . . . . . 79 2.11 RECIPROCAL MULTIPORTS . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . 83 2.12 SIMPLE MODEL OF
RESONATOR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
2.13 COUPLING BETWEEN TWO RESONATORS . . . . . . . . . . . . . . . . . .
. . . . . 88 2.14 SUMMARY . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 91 PROBLEMS . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 92 SOLUTIONS . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 95 3. DI*RACTION,
DIELECTRIC WAVEGUIDES, OPTICAL FIBERS, AND THE KERR E*ECT
::::::::::::::::::::::::::::::::::::::: 99 3.1 FREE-SPACE PROPAGATION
AND DI*RACTION. . . . . . . . . . . . . . . . . . . 100 3.2 MODES IN A
CYLINDRICAL PIECEWISE UNIFORM DIELECTRIC . . . . . . . 106 3.3
APPROXIMATE APPROACH . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 109 3.4 PERTURBATION THEORY . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 113 3.5 PROPAGATION ALONG A
DISPERSIVE FIBER . . . . . . . . . . . . . . . . . . . . 113 3.6
SOLUTION OF THE DISPERSION EQUATION FOR A GAUSSIAN PULSE . . . 115 3.7
PROPAGATION OF A POLARIZED WAVE IN AN ISOTROPIC KERR MEDIUM . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 117 3.7.1 CIRCULAR
POLARIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
119 3.8 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 120 PROBLEMS . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 120 SOLUTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 123 4. SHOT NOISE AND
THERMAL NOISE :::::::::::::::::::::::::::: 127 4.1 THE SPECTRUM OF SHOT
NOISE . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 4.2
THE PROBABILITY DISTRIBUTION OF SHOT NOISE EVENTS . . . . . . . . . 134
4.3 THERMAL NOISE IN WAVEGUIDES AND TRANSMISSION LINES . . . . . . 136
4.4 THE NOISE OF A LOSSLESS RESONATOR . . . . . . . . . . . . . . . . .
. . . . . . 140 4.5 THE NOISE OF A LOSSY RESONATOR . . . . . . . . . . .
. . . . . . . . . . . . . . 143 4.6 LANGEVIN SOURCES IN A WAVEGUIDE WITH
LOSS . . . . . . . . . . . . . . . 144 4.7 LOSSY LINEAR MULTIPORTS AT
THERMAL EQUILIBRIUM . . . . . . . . . . 146 4.8 THE PROBABILITY
DISTRIBUTION OF PHOTONS AT THERMAL EQUILIBRIUM . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 150 4.9 GAUSSIAN AMPLITUDE
DISTRIBUTION OF THERMAL EXCITATIONS . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 152 4.10 SUMMARY . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154
PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 155 SOLUTIONS . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 156 5. LINEAR NOISY MULTIPORTS ::::::::::::::::::::::::::::::::::
157 5.1 AVAILABLE AND EXCHANGEABLE POWER FROM A SOURCE . . . . . . . . .
. 159 5.2 THE STATIONARY VALUES OF THE POWER DELIVERED BY A NOISY
MULTIPORT AND THE CHARACTERISTIC NOISE MATRIX . . 160 CONTENTS VII 5.3
THE CHARACTERISTIC NOISE MATRIX IN THE ADMITTANCE REPRESENTATION APPLIED
TO A FIELD E*ECT TRANSISTOR . . . . . . . . . . . . . . . . . . . . . .
166 5.4 TRANSFORMATIONS OF THE CHARACTERISTIC NOISE MATRIX . . . . . . .
. 168 5.5 SIMPLI*ED GENERIC FORMS OF THE CHARACTERISTIC NOISE MATRIX.
172 5.6 NOISE MEASURE OF AN AMPLI*ER . . . . . . . . . . . . . . . . . .
. . . . . . . . . 175 5.6.1 EXCHANGEABLE POWER . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 175 5.6.2 NOISE FIGURE . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 176 5.6.3
EXCHANGEABLE POWER GAIN . . . . . . . . . . . . . . . . . . . . . . . .
177 5.6.4 THE NOISE MEASURE AND ITS OPTIMUM VALUE . . . . . . . . . 179
5.7 THE NOISE MEASURE IN TERMS OF INCIDENT AND REFLECTED WAVES . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 5.7.1
THE EXCHANGEABLE POWER GAIN . . . . . . . . . . . . . . . . . . . . 183
5.7.2 EXCESS NOISE FIGURE . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 184 5.8 REALIZATION OF OPTIMUM NOISE PERFORMANCE . . . . .
. . . . . . . . . . 185 5.9 CASCADING OF AMPLI*ERS . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 189 5.10 SUMMARY . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 190 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 192 SOLUTIONS . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 193 6. QUANTUM THEORY OF WAVEGUIDES AND RESONATORS
:::::::::: 197 6.1 QUANTUM THEORY OF THE HARMONIC OSCILLATOR . . . . . .
. . . . . . . . 198 6.2 ANNIHILATION AND CREATION OPERATORS . . . . . .
. . . . . . . . . . . . . . . 203 6.3 COHERENT STATES OF THE ELECTRIC
FIELD . . . . . . . . . . . . . . . . . . . . . 205 6.4 COMMUTATOR
BRACKETS, HEISENBERG*S UNCERTAINTY PRINCIPLE AND NOISE . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
209 6.5 QUANTUM THEORY OF AN OPEN RESONATOR . . . . . . . . . . . . . .
. . . . 211 6.6 QUANTIZATION OF EXCITATIONS ON A SINGLE-MODE WAVEGUIDE .
. . 215 6.7 QUANTUM THEORY OF WAVEGUIDES WITH LOSS . . . . . . . . . . .
. . . . . 217 6.8 THE QUANTUM NOISE OF AN AMPLI*ER WITH A PERFECTLY
INVERTED MEDIUM . . . . . . . . . . . . . . . . . . . . . . . 220 6.9
THE QUANTUM NOISE OF AN IMPERFECTLY INVERTED AMPLI*ER MEDIUM . . . . . .
. . . . . . . . 223 6.10 NOISE IN A FIBER WITH LOSS COMPENSATED BY GAIN
. . . . . . . . . . 226 6.11 THE LOSSY RESONATOR AND THE LASER BELOW
THRESHOLD . . . . . . . 229 6.12 SUMMARY . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 PROBLEMS .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 238 SOLUTIONS . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239
7. CLASSICAL AND QUANTUM ANALYSIS OF PHASE-INSENSITIVE SYSTEMS
:::::::::::::::::::::::::::::: 241 7.1 RENORMALIZATION OF THE CREATION
AND ANNIHILATION OPERATORS 242 7.2 LINEAR LOSSLESS MULTIPORTS IN THE
CLASSICAL AND QUANTUM DOMAINS . . . . . . . . . . . . . . . . . . . 243
VIII CONTENTS 7.3 COMPARISON OF THE SCHR¨ ODINGER AND HEISENBERG
FORMULATIONS OF LOSSLESS LINEAR MULTIPORTS . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 248 7.4 THE SCHR¨ ODINGER FORMULATION AND
ENTANGLED STATES . . . . . . . . 251 7.5 TRANSFORMATION OF COHERENT
STATES . . . . . . . . . . . . . . . . . . . . . . . 254 7.6
CHARACTERISTIC FUNCTIONS AND PROBABILITY DISTRIBUTIONS . . . . . 256
7.6.1 COHERENT STATE . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 256 7.6.2 BOSE{EINSTEIN DISTRIBUTION. . . . . . . . . .
. . . . . . . . . . . . . . 258 7.7 TWO-DIMENSIONAL CHARACTERISTIC
FUNCTIONS AND THE WIGNER DISTRIBUTION . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 259 7.8 THE SCHR¨ ODINGER CAT STATE AND ITS WIGNER
DISTRIBUTION . . . . 263 7.9 PASSIVE AND ACTIVE MULTIPORTS . . . . . . .
. . . . . . . . . . . . . . . . . . . . 267 7.10 OPTIMUM NOISE MEASURE
OF A QUANTUM NETWORK . . . . . . . . . . . 272 7.11 SUMMARY . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 276 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . 277 SOLUTIONS . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 278 8. DETECTION
::::::::::::::::::::::::::::::::::::::::::::::::: 281 8.1 CLASSICAL
DESCRIPTION OF SHOT NOISE AND HETERODYNE DETECTION . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 282 8.2 BALANCED DETECTION . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285 8.3
QUANTUM DESCRIPTION OF DIRECT DETECTION . . . . . . . . . . . . . . . .
. 288 8.4 QUANTUM THEORY OF BALANCED HETERODYNE DETECTION . . . . . . .
290 8.5 LINEARIZED ANALYSIS OF HETERODYNE DETECTION . . . . . . . . . .
. . . . 292 8.6 HETERODYNE DETECTION OF A MULTIMODAL SIGNAL . . . . . .
. . . . . . . 295 8.7 HETERODYNE DETECTION WITH FINITE RESPONSE TIME OF
DETECTOR . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 296 8.8 THE NOISE PENALTY OF A SIMULTANEOUS
MEASUREMENT OF TWO NONCOMMUTING OBSERVABLES . . . . . . . . . . . . . .
. . . . . . . . 298 8.9 SUMMARY . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 300 PROBLEMS . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 301 SOLUTIONS . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302 9.
PHOTON PROBABILITY DISTRIBUTIONS AND BIT-ERROR RATE OF A CHANNEL WITH
OPTICAL PREAMPLI*CATION ::::::::::::::: 305 9.1 MOMENT GENERATING
FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . 305 9.1.1
POISSON DISTRIBUTION . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 308 9.1.2 BOSE{EINSTEIN DISTRIBUTION. . . . . . . . . . . . . . .
. . . . . . . . . 308 9.1.3 COMPOSITE PROCESSES . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 309 9.2 STATISTICS OF ATTENUATION . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 9.3
STATISTICS OF OPTICAL PREAMPLI*CATION WITH PERFECT INVERSION . 314 9.4
STATISTICS OF OPTICAL PREAMPLI*CATION WITH INCOMPLETE INVERSION . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 320 9.5 BIT-ERROR
RATE WITH OPTICAL PREAMPLI*CATION . . . . . . . . . . . . . . 324 9.5.1
NARROW-BAND FILTER, POLARIZED SIGNAL, AND NOISE . . . . . 324 9.5.2
BROADBAND FILTER, UNPOLARIZED SIGNAL . . . . . . . . . . . . . . 327
CONTENTS IX 9.6 NEGENTROPY AND INFORMATION . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 330 9.7 THE NOISE FIGURE OF OPTICAL AMPLI*ERS
. . . . . . . . . . . . . . . . . . . 333 9.8 SUMMARY . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
339 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 340 SOLUTIONS . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 342 10. SOLITONS AND LONG-DISTANCE FIBER COMMUNICATIONS
::::::: 345 10.1 THE NONLINEAR SCHR¨ ODINGER EQUATION . . . . . . . . .
. . . . . . . . . . . . 346 10.2 THE FIRST-ORDER SOLITON . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 348 10.3 PROPERTIES OF
SOLITONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 352 10.4 PERTURBATION THEORY OF SOLITONS . . . . . . . . . . . . . .
. . . . . . . . . . . 354 10.5 AMPLI*ER NOISE AND THE GORDON{HAUS E*ECT
. . . . . . . . . . . . . . 357 10.6 CONTROL FILTERS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361 10.7
ERBIUM-DOPED FIBER AMPLI*ERS AND THE E*ECT OF LUMPED GAIN . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 10.8
POLARIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 367 10.9 CONTINUUM GENERATION BY SOLITON
PERTURBATION . . . . . . . . . . . . 370 10.10 SUMMARY . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
374 PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 376 SOLUTIONS . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 377 11. PHASE-SENSITIVE AMPLI*CATION AND SQUEEZING
::::::::::::: 379 11.1 CLASSICAL ANALYSIS OF PARAMETRIC AMPLI*CATION. .
. . . . . . . . . . . 380 11.2 QUANTUM ANALYSIS OF PARAMETRIC
AMPLI*CATION . . . . . . . . . . . . 383 11.3 THE NONDEGENERATE
PARAMETRIC AMPLI*ER AS A MODEL OF A LINEAR PHASE-INSENSITIVE AMPLI*ER .
. . . . . . . . . . . . . . . . . . 386 11.4 CLASSICAL ANALYSIS OF
DEGENERATE PARAMETRIC AMPLI*ER . . . . . . . . . . . . . . . . . . . . .
. 387 11.5 QUANTUM ANALYSIS OF DEGENERATE PARAMETRIC AMPLI*ER . . . . .
. . . . . . . . . . . . . . . . . 390 11.6 SQUEEZED VACUUM AND ITS
HOMODYNE DETECTION . . . . . . . . . . . 393 11.7 PHASE MEASUREMENT WITH
SQUEEZED VACUUM . . . . . . . . . . . . . . . 395 11.8 THE LASER
RESONATOR ABOVE THRESHOLD . . . . . . . . . . . . . . . . . . . 398 11.9
THE FLUCTUATIONS OF THE PHOTON NUMBER . . . . . . . . . . . . . . . . .
. 403 11.10 THE SCHAWLOW{TOWNES LINEWIDTH . . . . . . . . . . . . . . .
. . . . . . . . . 406 11.11 SQUEEZED RADIATION FROM AN IDEAL LASER . . .
. . . . . . . . . . . . . . . 408 11.12 SUMMARY . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 412
PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 413 SOLUTIONS . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 414 12. SQUEEZING IN FIBERS
::::::::::::::::::::::::::::::::::::::: 417 12.1 QUANTIZATION OF
NONLINEAR WAVEGUIDE . . . . . . . . . . . . . . . . . . . . 418 12.2 THE
X REPRESENTATION OF OPERATORS . . . . . . . . . . . . . . . . . . . . .
. 420 12.3 THE QUANTIZED EQUATION OF MOTION OF THE KERR E*ECT IN THE X
REPRESENTATION. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 422 X CONTENTS 12.4 SQUEEZING . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . 424 12.5
GENERATION OF SQUEEZED VACUUM WITH A NONLINEAR INTERFEROMETER . . . . .
. . . . . . . . . . . . . . . . . . . . 427 12.6 SQUEEZING EXPERIMENT .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 432
12.7 GUIDED-ACOUSTIC-WAVE BRILLOUIN SCATTERING . . . . . . . . . . . . .
. . 434 12.8 PHASE MEASUREMENT BELOW THE SHOT NOISE LEVEL . . . . . . .
. . . . 436 12.9 GENERATION OF SCHR¨ ODINGER CAT STATE VIA KERR E*ECT .
. . . . . . 440 12.10 SUMMARY . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 442 PROBLEMS . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 442 SOLUTIONS . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 443 13.
QUANTUM THEORY OF SOLITONS AND SQUEEZING ::::::::::::::: 445 13.1 THE
HAMILTONIAN AND EQUATIONS OF MOTION OF A DISPERSIVE WAVEGUIDE . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 446 13.2 THE QUANTIZED
NONLINEAR SCHR¨ ODINGER EQUATION AND ITS LINEARIZATION . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 449 13.3 SOLITON
PERTURBATIONS PROJECTED BY THE ADJOINT . . . . . . . . . . . . 453 13.4
RENORMALIZATION OF THE SOLITON OPERATORS . . . . . . . . . . . . . . . .
. 457 13.5 MEASUREMENT OF OPERATORS . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 461 13.6 PHASE MEASUREMENT WITH SOLITON-LIKE
PULSES. . . . . . . . . . . . . . . 462 13.7 SOLITON SQUEEZING IN A
FIBER . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465 13.8
SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 469 PROBLEMS . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 471
SOLUTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 472 14. QUANTUM NONDEMOLITION
MEASUREMENTS AND THE COLLAPSE OF THE WAVE FUNCTION
::::::::::::::::::::::::::::::::::::: 473 14.1 GENERAL PROPERTIES OF A
QND MEASUREMENT . . . . . . . . . . . . . . . 475 14.2 A QND MEASUREMENT
OF PHOTON NUMBER . . . . . . . . . . . . . . . . . 475 14.3 WHICH PATH
EXPERIMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
481 14.4 THE COLLAPSE OF THE DENSITY MATRIX . . . . . . . . . . . . .
. . . . . . . 484 14.5 TWO QUANTUM NONDEMOLITION MEASUREMENTS IN CASCADE
. . . . 490 14.6 THE SCHR¨ ODINGER CAT THOUGHT EXPERIMENT . . . . . . .
. . . . . . . . . 493 14.7 SUMMARY . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 497 PROBLEMS . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 498 SOLUTIONS . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 499
EPILOGUE :::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 503
APPENDICES ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
505 A.1 PHASE VELOCITY AND GROUP VELOCITY OF A GAUSSIAN BEAM . . . . 505
A.2 THE HERMITE GAUSSIANS AND THEIR DE*NING EQUATION . . . . . . . 506
A.2.1 THE DE*NING EQUATION OF HERMITE GAUSSIANS . . . . . . . . 506
A.2.2 ORTHOGONALITY PROPERTY OF HERMITE GAUSSIAN MODES. . 507 CONTENTS
XI A.2.3 THE GENERATING FUNCTION AND CONVOLUTIONS OF HERMITE GAUSSIANS .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 508 A.3 RECURSION
RELATIONS OF BESSEL FUNCTIONS . . . . . . . . . . . . . . . . . . 512
A.4 BRIEF REVIEW OF STATISTICAL FUNCTION THEORY . . . . . . . . . . . .
. . . 513 A.5 THE DI*ERENT NORMALIZATIONS OF FIELD AMPLITUDES AND OF
ANNIHILATION OPERATORS . . . . . . . . . . . . . . . . . . . . . . . . .
. . 515 A.5.1 NORMALIZATION OF CLASSICAL FIELD AMPLITUDES . . . . . . .
. 515 A.5.2 NORMALIZATION OF QUANTUM OPERATORS . . . . . . . . . . . . .
. 516 A.6 TWO ALTERNATIVE EXPRESSIONS FOR THE NYQUIST SOURCE . . . . . .
. 517 A.7 WAVE FUNCTIONS AND OPERATORS IN THE N REPRESENTATION . . . . .
518 A.8 HEISENBERG*S UNCERTAINTY PRINCIPLE . . . . . . . . . . . . . . .
. . . . . . . . 523 A.9 THE QUANTIZED OPEN-RESONATOR EQUATIONS . . . . .
. . . . . . . . . . . 524 A.10 DENSITY MATRIX AND CHARACTERISTIC
FUNCTIONS . . . . . . . . . . . . . . 527 A.10.1 EXAMPLE 1. DENSITY
MATRIX OF BOSE{EINSTEIN STATE . . . 528 A.10.2 EXAMPLE 2. DENSITY MATRIX
OF COHERENT STATE . . . . . . . 528 A.11 PHOTON STATES AND BEAM
SPLITTERS . . . . . . . . . . . . . . . . . . . . . . . 529 A.12 THE
BAKER{HAUSDOR* THEOREM . . . . . . . . . . . . . . . . . . . . . . . . .
. 530 A.12.1 THEOREM 1 . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 530 A.12.2 THEOREM 2 . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 531 A.12.3 MATRIX FORM
OF THEOREM 1 . . . . . . . . . . . . . . . . . . . . . . . 531 A.12.4
MATRIX FORM OF THEOREM 2 . . . . . . . . . . . . . . . . . . . . . . .
532 A.13 THE WIGNER FUNCTION OF POSITION AND MOMENTUM . . . . . . . . .
. 533 A.14 THE SPECTRUM OF NON-RETURN-TO-ZERO MESSAGES . . . . . . . . .
. . . 535 A.15 VARIOUS TRANSFORMS OF HYPERBOLIC SECANTS . . . . . . . .
. . . . . . . . 538 A.16 THE NOISE SOURCES DERIVED FROM A LOSSLESS
MULTIPORT WITH SUPPRESSED TERMINALS . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . 541 A.17 THE NOISE SOURCES OF AN ACTIVE SYSTEM
DERIVED FROM SUPPRESSION OF PORTS . . . . . . . . . . . . . . . . . . .
. . . . 542 A.18 THE TRANSLATION OPERATOR AND THE TRANSFORMATION OF
COHERENT STATES FROM THE * REPRESENTATION TO THE X REPRESENTATION . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 543 A.19 THE
HEISENBERG EQUATION IN THE PRESENCE OF DISPERSION . . . . . 544 A.20
GAUSSIAN DISTRIBUTIONS AND THEIR E * 1 = 2 LOCI . . . . . . . . . . . .
. . 544 REFERENCES ::::::::::::::::::::::::::::::::::::::::::::::::::::
549 INDEX ::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 555
|
| any_adam_object | 1 |
| author | Haus, Hermann A. 1925- |
| author_GND | (DE-588)121645495 |
| author_facet | Haus, Hermann A. 1925- |
| author_role | aut |
| author_sort | Haus, Hermann A. 1925- |
| author_variant | h a h ha hah |
| building | Verbundindex |
| bvnumber | BV013010830 |
| callnumber-first | T - Technology |
| callnumber-label | TK7867 |
| callnumber-raw | TK7867.5 |
| callnumber-search | TK7867.5 |
| callnumber-sort | TK 47867.5 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | UH 5695 ZN 6090 |
| classification_tum | PHY 370f PHY 355f |
| ctrlnum | (OCoLC)247477403 (DE-599)BVBBV013010830 |
| dewey-full | 621.38224 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.38224 |
| dewey-search | 621.38224 |
| dewey-sort | 3621.38224 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV013010830 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:37:41Z |
| institution | BVB |
| isbn | 3540652728 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008866909 |
| oclc_num | 247477403 |
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| owner_facet | DE-703 DE-1050 DE-20 DE-91G DE-BY-TUM DE-384 DE-M347 DE-526 DE-634 DE-11 DE-29T |
| physical | XV, 562 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Advanced texts in physics Physics and astronomy online library |
| spelling | Haus, Hermann A. 1925- Verfasser (DE-588)121645495 aut Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions Hermann A. Haus Berlin [u.a.] Springer 2000 XV, 562 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced texts in physics Physics and astronomy online library Optoelektronik - Rauschen Quantenoptik - Rauschen Electromagnetic noise Measurement Electronic circuits Noise Interference (Light) Optoelectronic devices Noise Quantum optics Measurement Optische Messung (DE-588)4121429-8 gnd rswk-swf Optoelektronik (DE-588)4043687-1 gnd rswk-swf Quantenoptik (DE-588)4047990-0 gnd rswk-swf Elektromagnetische Strahlung (DE-588)4014297-8 gnd rswk-swf Rauschen (DE-588)4048606-0 gnd rswk-swf Rauschen (DE-588)4048606-0 s Optische Messung (DE-588)4121429-8 s DE-604 Quantenoptik (DE-588)4047990-0 s Optoelektronik (DE-588)4043687-1 s Elektromagnetische Strahlung (DE-588)4014297-8 s SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008866909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haus, Hermann A. 1925- Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions Optoelektronik - Rauschen Quantenoptik - Rauschen Electromagnetic noise Measurement Electronic circuits Noise Interference (Light) Optoelectronic devices Noise Quantum optics Measurement Optische Messung (DE-588)4121429-8 gnd Optoelektronik (DE-588)4043687-1 gnd Quantenoptik (DE-588)4047990-0 gnd Elektromagnetische Strahlung (DE-588)4014297-8 gnd Rauschen (DE-588)4048606-0 gnd |
| subject_GND | (DE-588)4121429-8 (DE-588)4043687-1 (DE-588)4047990-0 (DE-588)4014297-8 (DE-588)4048606-0 |
| title | Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions |
| title_auth | Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions |
| title_exact_search | Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions |
| title_full | Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions Hermann A. Haus |
| title_fullStr | Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions Hermann A. Haus |
| title_full_unstemmed | Electromagnetic noise and quantum optical measurements with 117 problems ; with 41 selected solutions Hermann A. Haus |
| title_short | Electromagnetic noise and quantum optical measurements |
| title_sort | electromagnetic noise and quantum optical measurements with 117 problems with 41 selected solutions |
| title_sub | with 117 problems ; with 41 selected solutions |
| topic | Optoelektronik - Rauschen Quantenoptik - Rauschen Electromagnetic noise Measurement Electronic circuits Noise Interference (Light) Optoelectronic devices Noise Quantum optics Measurement Optische Messung (DE-588)4121429-8 gnd Optoelektronik (DE-588)4043687-1 gnd Quantenoptik (DE-588)4047990-0 gnd Elektromagnetische Strahlung (DE-588)4014297-8 gnd Rauschen (DE-588)4048606-0 gnd |
| topic_facet | Optoelektronik - Rauschen Quantenoptik - Rauschen Electromagnetic noise Measurement Electronic circuits Noise Interference (Light) Optoelectronic devices Noise Quantum optics Measurement Optische Messung Optoelektronik Quantenoptik Elektromagnetische Strahlung Rauschen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008866909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT haushermanna electromagneticnoiseandquantumopticalmeasurementswith117problemswith41selectedsolutions |