Toda-oscillator theory of the laser with a low-Q cavity

[目次]

  • CONTENTS / p7
  • ABSTRACTS / p2
  • ACKNOWLEDGEMENTS / p5
  • LIST OF PAPERS FOR THE REQUIREMENT OF THE DEGREE / p6
  • CONTENTS / p7
  • I.INTRODUCTION
  • 1.A.SCOPE OF THIS WORK / p2
  • 1.B.ORGANIZATION OF THE THESIS / p7
  • REFERENCES / p7
  • II.FORCED TODA-OSCILLATOR MODEL OF THE LASER WITH PUMP MODULATION
  • II.A.SMALL SIGNAL ANALYSIS:INTRODUCTION TO LARGE SIGNAL ANALYSIS / p11
  • II.B.FORCED TODA-OSCILLATOR (FTO) EQUATION / p13
  • II.C.OPTICAL CHAOS: NUMERICAL ANALYSIS / p16
  • II.D.HARMONIC-BALANCE THEORY / p20
  • II.E.SUMMARY / p33
  • REFERENCES / p33
  • III.STOCHASTIC TODA-OSCILLATOR MODEL OF THE LASER WITH FLUCTUATIONS
  • III.A.STOCHASTIC TODA-OSCILLATOR (STO) EQUATION / p48
  • III.B.ANALYTICAL SOLUTIONS OF THE FOKKER-PLANCK EQUATION / p54
  • III.C.GENERAL SOLUTIONS IN TERMS OF THE MATRIX CONTINUED-FRACTION (MCF) / p60
  • III.D.REMARKS ON THE STABILITY / p63
  • III.E.COMPARISON WITH THE GOOD-CAVITY CASE / p64
  • III.F.SUMMARY / p68
  • REFERENCES / p69
  • IV.OTHER APPROACHES TO THE LASER WITH FLUCTUATIONS
  • IV.A.AN EXACT SOLUTION OF THE LASER FOKKER-PLANCK EQUATION / p75
  • IV.B.QUASILINEAR FOURIER ANALYSIS / p86
  • IV.C.SUMMARY / p96
  • REFERENCES / p97
  • V.MULTIMODE EFFECTS AND STOCHASTIC DYNAMICS
  • V.A.MULTIMODE LASER EQUATIONS / p104
  • V.B.TWO KINDS OF RANDOMNESS IN THE MULTIMODE SYSTEM / p107
  • V.C.MULTIMODE EFFECTS AND STOCHASTIC DYNAMICS / p112
  • V.D.SUMMARY / p114
  • VI.CONCLUSIONS
  • VI.A.CONCLUSIONS / p120
  • VI.B.REMARKS:ON VALIDITY OF THE MODELS / p120
  • VI.C.FUTURE OUTLOOK / p123
  • REFERENCES / p125
  • APPENDICES / p126
  • A:THE HARD-WALL MODEL OF THE CHAOS IN THE FORCED TODA OSCILLATOR / p126
  • B:LIST OF THE COEFFICIENTS OF (2.4.13) / p129
  • C:STABILITY CONDITIONS FOR THE HILL'S EQUATION / p129
  • D:LIST OF THE MATRIX ELEMENTS OF (2.4.19b) / p131
  • E:LIST OF THE COEFFICIENTS OF (2.4.31) / p131
  • F:HERMITE AND LAGUERRE POLYNOMIALS / p132
  • G:LIST OF THE MATRIX ELEMENTS OF (4.1.24) / p132
  • H:THE COMPLEX GAUSSIAN STATISTICS / p133
  • LIST OF PUBLICATIONS OF AUTHOR'S / p136

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書名 Toda-oscillator theory of the laser with a low-Q cavity
著作者等 小川 哲生
書名別名 Q値の低い共振器をもつレーザーの戸田振動子理論
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