Photonic Crystals: The Road from Theory to Practice

Front Cover
Springer Science & Business Media, Nov 30, 2001 - Technology & Engineering - 145 pages
Photonic Crystals: The Road from Theory to Practice explores the theoretical road leading to the practical application of photonic band gaps. These new optimal devices are based on symmetry and resonance and the benefits and limitations of hybrid "two dimensional" slab systems in three dimensions. The book also explains that they also signify a return to the ideal of an omnidirectional band gap in a structure inspired by and emulating the simplicity of two dimensions. Finally, the book takes a look at computational methods to solve the mathematical problems that underlie all undertakings in this field.
Photonic Crystals: The Road from Theory to Practice should rapidly bring the optical professional and engineer up to speed on this intersection of electromagnetism and solid-state physics. It will also provide an excellent addition to any graduate course in optics.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Photonic Crystals and Other Obscure Topics
9
13 Photonic Crystals
12
14 Things to Come
16
142 PhotonicCrystal Slabs
17
143 A New Photonic Crystal
19
144 So You Want To Study Photonic Crystals?
20
Band Gaps Maxwells Equations A Whirlwind Tour
23
22 Maxwell Meets Bloch Floquet
25
58 Summary
93
HighQ Cavities in PhotonicCrystal Slabs
97
62 Computational Method
99
63 Mode Delocalization
100
64 Multipole Cancellation
103
641 The Multipole Expansion for Radiation Fields
104
642 A Multipole Cancellation in 2d
105
643 A Multipole Cancellation in 3d
106

23 The Origin of the Photonic Band Gap
27
24 Localized Defect States
29
Elimination of Crosstalk in Perpendicular Waveguide Intersections
33
33 Intersecting PhotonicCrystal Waveguides
35
34 Intersecting Conventional Waveguides
38
35 Summary
39
Guided Modes in PhotonicCrystal Slabs
43
42 Computational Method
46
43 PhotonicCrystal Slab Band Structures
47
44 Effects of Slab Thickness
53
45 Slabs with Solid Backgrounds Sandwiches
57
46 Slabs with Periodic Backgrounds
59
47 Slabs with SymmetryBreaking Backgrounds
62
48 Summary
64
Linear Waveguides in PhotonicCrystal Slabs
69
52 Computational Method
75
53 ReducedIndex Waveguides
76
54 IncreasedIndex Waveguides
82
55 Strip Waveguides in PhotonicCrystal Slabs
85
56 Waveguides in Other Directions
88
57 Estimating the Field Energy in the Dielectric
90
65 Summary and Conclusions
107
Layered Photonic Crystal with a Complete Threedimensional Band Gap
111
72 Other PhotonicCrystal Structures
112
73 Characterizing the New Structure
115
74 Possible Fabrication Methods
116
75 Summary
117
Blockiterative FrequencyDomain Methods for Maxwells Equations
121
82 The Maxwell Eigenproblem
123
821 The choice of basis
125
822 Inversion symmetry
128
824 Preconditioners
131
83 Iterative Eigensolvers
132
831 Conjugategradient minimization of the Rayleigh quotient
133
832 The Davidson method
138
833 Interior eigenvalues
140
834 To block or not to block?
141
835 Scaling
143
84 Summary
144
Concluding Remarks
151
Index
153
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 147 - A program for calculating photonic band structures. Green's functions and transmission/reflection coefficients using a non-orthogonal FDTD method", Comp.

Bibliographic information