Johnson S.G., Joannopoulos J.D. Photonic Crystals: The Road from Theory to Practice

Springer, Massachusetts Institute of Technology, 2001 — 165 p.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.Photonic Crystals and Other Obscure Topics.
In the Beginning, There Was Maxwell.
Periodic Surprises.
Photonic Crystals.
Things to Come.
Band Gaps & Maxwell’s Equations: A Whirlwind Tour.
Maxwell’s Equations.
The Bloch-Floquet Theorem and Electromagnetism.
The Origin of the Photonic Band Gap.
Elimination of Crosstalk in Waveguide Intersections.
Introduction.
Eliminating Crosstalk by Symmetry.
Intersecting Photonic-Crystal Waveguides.
Intersecting Conventional Waveguides.
Summary.
Guided Modes in Photonic-Crystal Slabs.
Introduction.
Computational Method.
Photonic-Crystal Slab Band Structures.
Effects of Slab Thickness.
Slabs with Solid Backgrounds (Sandwiches).
Slabs with Periodic Backgrounds.
Slabs with Symmetry-Breaking Backgrounds.
Summary.
Linear Waveguides in Photonic-Crystal Slabs.
Introduction.
Computational Method.
Reduced-Index Waveguides.
Increased-Index Waveguides.
Strip Waveguides in Photonic-Crystal Slabs.
Waveguides in Other Directions.
Estimating the Field Energy in the Dielectric.
Summary.
High-Q Cavities in Photonic-Crystal Slabs.
Introduction.
Computational Method.
Mode Delocalization.
Multipole Cancellation.
Summary and Conclusions.
Three-dimensionally periodic dielectric layered structure with omnidirectional photonic bandgap.
Introduction.
Other Photonic-Crystal Structures.
Characterizing the New Structure.
Possible Fabrication Methods.
Summary.
Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis.
Introduction.
The Maxwell Eigenproblem.
Iterative Eigensolvers.
Summary.
Concluding Remarks.
9.1 Looking Back.
Looking Forward.