By Yanhua Shih

ISBN-10: 1420012487

ISBN-13: 9781420012484

Entrance hide; commitment; Contents; Preface; Acknowledgments; writer; bankruptcy 1. Electromagnetic Wave idea and size of sunshine; bankruptcy 2. Coherence estate of Light-The nation of the Radiation; bankruptcy three. Diffraction and Propagation; bankruptcy four. Optical Imaging; bankruptcy five. First-Order Coherence of sunshine; bankruptcy 6. Second-Order Coherence of sunshine; bankruptcy 7. Homodyne Detection and Heterodyne Detection of

Chapter eleven. Quantum ImagingChapter 12. Two-Photon Interferometry-I: Biphoton Interference; bankruptcy thirteen. Two-Photon Interferometry-II: Quantum Interference of Chaotic-Thermal mild; bankruptcy 14. Bell's Theorem and Bell's Inequality dimension; again cover.

Electromagnetic Wave conception and size of LightElectromagnetic Wave idea of LightClassical SuperpositionMeasurement of LightIntensity of sunshine: Expectation and FluctuationMeasurement of depth: Ensemble standard and Time AverageCoherence estate of Light-The kingdom of the RadiationCoherence estate of LightTemporal CoherenceSpatial CoherenceDiffraction and PropagationDiffractionField PropagationOptical ImagingA vintage Imaging SystemFourier remodel through a LensFirst-Order Coherence of LightFirst-Order Temporal CoherenceFirst-Order Spatial CoherenceSecond-Order Coherence of LightSecon. Read more...

summary: entrance conceal; commitment; Contents; Preface; Acknowledgments; writer; bankruptcy 1. Electromagnetic Wave idea and size of sunshine; bankruptcy 2. Coherence estate of Light-The kingdom of the Radiation; bankruptcy three. Diffraction and Propagation; bankruptcy four. Optical Imaging; bankruptcy five. First-Order Coherence of sunshine; bankruptcy 6. Second-Order Coherence of sunshine; bankruptcy 7. Homodyne Detection and Heterodyne Detection of sunshine; bankruptcy eight. Quantum conception of sunshine: box Quantization and dimension; bankruptcy nine. Quantum concept of Optical Coherence; bankruptcy 10. Quantum Entanglement.

Chapter eleven. Quantum ImagingChapter 12. Two-Photon Interferometry-I: Biphoton Interference; bankruptcy thirteen. Two-Photon Interferometry-II: Quantum Interference of Chaotic-Thermal gentle; bankruptcy 14. Bell's Theorem and Bell's Inequality dimension; again cover.

Electromagnetic Wave idea and dimension of LightElectromagnetic Wave concept of LightClassical SuperpositionMeasurement of LightIntensity of sunshine: Expectation and FluctuationMeasurement of depth: Ensemble normal and Time AverageCoherence estate of Light-The nation of the RadiationCoherence estate of LightTemporal CoherenceSpatial CoherenceDiffraction and PropagationDiffractionField PropagationOptical ImagingA vintage Imaging SystemFourier remodel through a LensFirst-Order Coherence of LightFirst-Order Temporal CoherenceFirst-Order Spatial CoherenceSecond-Order Coherence of LightSecon

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**Additional resources for An Introduction to Quantum Optics : Photon and Biphoton Physics**

**Sample text**

The expectation value of intensity, I(r, t) , is the sum of all possible sub-pulses excited by all possible independent sub-sources. It is clear that each of the sub-pulses is in the form of a well-defined function in space-time due to the coherent superposition of its Fourier-modes. 4 is formulated as a summation of a set of sub-pulses. Each sub-pulse corresponds to the Fourier transforms of aj (ν) of the jth sub-source. Each Fourier transform yields a well defined wavepacket in space-time if aj (ν) is well defined.

We now introduce the concept of time-averaged intensity I(t) T . 50) t− T2 where T is the integral period. What is the relationship between I(t) and I(t) T ? For chaotic-thermal radiation, it is easy to show that I(t) T∼∞ = I(t) . 51) Since the ensemble-averaged intensity equals the time-averaged intensity when T ∼ ∞, chaotic-thermal radiation is considered as stationary and ergodic. In statistics, ergodic implies that the ensemble average is equivalent to the time average of a typical member of the ensemble; stationary implies that the ensemble-averaged mean value is independent of time.

3 Incoherent Sub-Sources and Coherent Fourier-Modes In the third simplified model, we assume each of the sub-sources emits independently with random relative phases. The Fourier-modes, however, are coherently excited at time t0j . 45, I(r, t) = aj (ω)e−iωt0j aj (ω )eiω t0j ei(ω−ω )τ dω dω j dν aj (ν)e−iνt0j eiντ = dν aj (ν )eiν t0j e−iν τ j F(τ −t0j ) aj (ν) = 2 . 4) j This result reflects explicitly the incoherent nature of the sub-sources and the coherent nature of the Fourier-modes. The expectation value of intensity, I(r, t) , is the sum of all possible sub-pulses excited by all possible independent sub-sources.

### An Introduction to Quantum Optics : Photon and Biphoton Physics by Yanhua Shih

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