Cover
Contents
1 Overview
2 Quantum Mechanical Noise of a Modulated Fabry-Perot Interferomter with Loss
2.1 Introduction
2.2 Cavity modes and a model of loss
2.3 Results
2.4 Discussions
3 Michelson Interferometer with Fabry-Perot Cavities and Loudon-Ni Model
3.1 Introduction
3.2 The Model
3.3 Uncertainty for small coupling
3.4 Michelson Interferometer as a Special Case
4 Nonperturbative Treatment
4.1 Introduction
4.2 The Model
4.3 The Solutions
4.3.1 Coherent State-Squeexed State Inputs
4.3.2 Number States Inputs
4.4 Special Cases
4.4.1 Coherent State-Vacuum Inputs
4.4.2 Cpherent State-Squeezed Vacuum Inputs
4.4.3 Vacuum-Squeezed State Inputs
4.4.4 Photon Number State-Vacuum Inputs
5 Analyses and Discussion
5.1 Small Coupling Approximation
5.1.1 Vacuum on b-mode
5.1.2 Squeezed Vacuum on b-mode
5.2 High Intensity Behavior
5.2.1 Mixing Noise
5.2.2 A Nonideal Visibility
5.3 Discussion
A Useful Formulas
A.I Coherent State-Squeezed State Inputs
A.2 Hypergeometric Functions
A.2.1 Relations for Contiguous Functions
A.2.2 Applications
B A Quantum Model of the Fabry-Perot Interferometer with Energy Loss in High-Resolution Length Measurement
B.1 簡介
B.2 古典解
B.3 量子化
B.4 光子偵測器模型
B.5 緊挾態
B.6 光子計數之長度不準度
B.7 輻射壓之長度不準度
B.8 討論
C Mathematica Input
Index and Brief Summary of Notations
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