光子晶体的光学性质.pdf

光子晶体的光学性质.pdf
 

书籍描述

编辑推荐
《光子晶体的光学性质(第2版)》由世界图书出版公司北京公司出版。

作者简介
作者:(日本)K.迫田(K.Sakoda)

目录
1. Introduction
2. Eigenmodes of Photonic Crystals
2.1 Wave Equations and Eigenvalue Problems
2.2 Eigenvalue Problems in Two—Dimensional Crystals
2.3 Scaling Law and Time Reversal Symmetry
2.4 Photonic Band Calculation
2.4.1 Fourier Expansion of Dielectric Functions
2.4.2 Some Examples
2.5 Phase Velocity, Group Velocity, and Energy Velocity
2.6 Calculation of Group Velocity
2.7 Complete Set of Eigenfunctions
2.8 Retarded Green's Function
3. Symmetry of Eigenmodes
3.1 Group Theory for Two—Dimensional Crystals
3.2 Classification of Eigenmodes in the Square Lattice
3.3 Classification of Eigenmodes in the Hexagonal Lattice
3.4 Group Theory for Three—Dimensional Crystals
3.5 Classification of Eigenmodes in the Simple Cubic Lattice
3.6 Classification of Eigenmodes in the fcc Lattice
4. Transmission Spectra
4.1 Light Transmission and Bragg Reflection
4.2 Field Equations
4.2.1 E Polarization
4.2.2 H Polarization
4.3 Fourier Transform of the Dielectric Function
4.3.1 Square Lattice
4.3.2 Hexagonal Lattice
4.4 Some Examples
4.4.1 Square Lattice
4.4.2 Hexagonal Lattice
4.5 Refraction Law for Photonic Crystals
5. Optical Response of Photonic Crystals
5.1 Solutions of Inhomogeneous Equations
5.2 Dipole Radiation
5.3 Stimulated Emission
5.4 Sum—Frequency Generation
5.4.1 Three—Dimensional Case
5.4.2 Two—Dimensional Case
5.5 SHG in the Square Lattice
5.6 Free Induction Decay
6. Defect Modes in Photonic Crystals
6.1 General Properties
6.2 Principle of Calculation
6.3 Point Defects in a Square Lattice
6.4 Point Defects in a Hexagonal Lattice
6.5 Line Defects in a Square Lattice
6.6 Dielectric Loss and Quality Factor
7. Band Calculation
with Frequency—Dependent Dielectric Constants
7.1 Principle of Calculation
7.2 Modified Plane Waves in Metallic Crystals
7.3 Surface Plasmon Polaritons
7.3.1 Plasmon Polaritons on Flat Surface
7.3.2 Plasmon Resonance on a Metallic Cylinder
7.3.3 Symmetry of Plasmon Polaritons
7.3.4 Plasmon Bands in a Square Lattice
8. Photonic Crystal Slabs
8.1 Eigenmodes of Uniform Slabs
8.2 Symmetry of Eigenmodes
8.3 Photonic Band Structure and Transmission Spectra
8.4 Quality Factor
9. Low—Threshold Lasing Due to Group—Velocity Anomaly.
9.1 Enhanced Stimulated Emission
9.2 Lasing Threshold
9.2.1 Analytical Expression
9.2.2 Numerical Estimation
10. Quantum Optics in Photonic Crystals
10.1 Quantization of the Electromagnetic Field
10.2 Quadrature—Phase Squeezing
10.3 Interaction Hamiltonian
10.4 Lamb Shift
11. Superfluorescence
11.1 Brief Description of Superfluorescence
11.2 Two—Level Atoms
11.3 Superfluorescence in Uniform Materials
11.4 Superfluorescence in Photonic Crystals
11.4.1 Small Distribution Volume Limit
11.4.2 Propagation Effect
12. Epilogue
References
Index

文摘
版权页:

光子晶体的光学性质

插图:

光子晶体的光学性质

Because we are interested in the influence of the photonic band structureon the stimulated emission and the nature of the impurity atoms is irrelevantto the following discussion, we assume that the polarizability of the impurityatoms is independent of w. In addition, we assume for simplicity that theimpurity atoms are uniformly distributed in the dielectric material.
We now proceed to the quantitative evaluation of the enhancement ofstimulated emission. In the following calculation, the dielectric constant ofthe host material was assumed to be 2.1 — 0.01i. Figure 9.1 shows the sumof the transmittance and the reflectance for an incident wave with the E po—larization propagated in the F—X direction where each solid line with filledcircles denotes that of the 2D crystal and each dashed line denotes that ofa uniform plate of the same thickness with a spatially averaged dielectriccoustant. The latter was calculated for comparison. The calculation was per—formed for crystals with (a) 16, (b) 8, (c) 4, and (d) 2 lattice layers. Note thatthe sum can be greater than unity because of the stimulated emission thattakes place in the crystals and the uniform plates. We first examine Fig. 9.1(a)in detail. The solid line clearly shows a large enhancement of the stimulatedemission at wa/2πc = 0.788, which exactly coincides with the upper edge ofthe third lowest A mode where vg = 0. It also shows a peak at wa/2πc = 0.701aud periodic peaks at wa/2πc = 0.733 to 0.784. The former exactly coincideswith the upper edge of the second lowest A mode whereas the latter coincides with the frequency range of the third lowest A mode. Therefore, it isevident that the enhancement of the stimulated emission originates from thelow group velocity of the eigenmodes. The enhancement factor, which wascalculated as the ratio of the stimulated emission in the photonic crystal andthat in the uniform plate was as large as 45 at wa/2πc = 0.788.

内容简介
《光子晶体的光学性质(第2版)》是第一部全面讲述光子晶体的光学性质的教程。书中不仅呈现了晶体内部放射模型的性质,而且给出了它们对内部场的特别的光学反应,运用格林函数方法详尽地给出了线性和非线性的光学反应综述。书中用群论系统描述了特征对称,及其对光子晶体的光学性质的影响,详尽、简明地介绍了最新成果,如受激辐射、二次谐波、正交位相压缩和低阀值激光。数值方法的重点强调使得《光子晶体的光学性质(第2版)》不仅适合于研究生和本科生,也是该领域科研人员的不可多得的一本参考书。这是第二版,在第一版的基础上增加了有关超荧光的一章。

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