Steven G. Johnson, John D. Joannopoulos

Photonic Crystals

The Road from Theory to Practice

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer / Springer US / Springer, Berlin
• Artikelnr. des Verlages: 978-0-7923-7609-5
• 2002
• Seitenzahl: 160
• Erscheinungstermin: 30. November 2001
• Englisch
• Abmessung: 241mm x 160mm x 15mm
• Gewicht: 408g
• ISBN-13: 9780792376095
• ISBN-10: 0792376099
• Artikelnr.: 22019825

Inhaltsangabe

Preface and Acknowledgements. 1: Photonic Crystals and Other Obscure
Topics. 1.1. In the Beginning, There Was Maxwell. 1.2. Periodic Surprises.
1.3. Photonic Crystals. 1.4. Things to Come. 1.4.1. Intersecting Optical
Pipes. 1.4.2. Photonic-Crystal Slabs. 1.4.3. A New Photonic Crystal.
1.4.4. So, You Want To Study Photonic Crystals? 2: Gaps & Maxwells
Equations: A Whirlwind Tour. 2.1. Maxwells Equations. 2.2. Maxwell Meets
Bloch & Floquet. 2.3. The Origin of the Photonic Band Gap. 2.4. Localized
Defect States. 3: Elimination of Crosstalk in Perpendicular Waveguide
Intersections. 3.1. Introduction. 3.2. Eliminating Crosstalk by Symmetry.
3.3. Intersecting Photonic-Crystal Waveguides. 3.4. Intersecting
Conventional Waveguides. 3.5. Summary. 4: Guided Modes in Photonic-Crystal
Slabs. 4.1. Introduction. 4.2. Computational Method. 4.3. Photonic-Crystal
Slab Band Structures. 4.4. Effects of Slab Thickness. 4.5. Slabs with Solid
Backgrounds (Sandwiches). 4.6. Slabs with Periodic Backgrounds. 4.7. Slabs
with Symmetry-Breaking Backgrounds. 4.8. Summary. 5: Linear Waveguides in
Photonic-Crystal Slabs. 5.1. Introduction. 5.2. Computational Method. 5.3.
Reduced-Index Waveguides. 5.4. Increased-Index Waveguides. 5.5. Strip
Waveguides in Photonic-Crystal Slabs. 5.6. Waveguides in Other Directions.
5.7. Estimating the Field Energy in the Dielectric. 5.8. Summary. 6: High-Q
Cavities in Photonic-Crystal Slabs. 6.1. Introduction. 6.2. Computational
Method. 6.3. Mode Delocalization. 6.4. Multipole Cancellation. 6.4.1. The
Multipole Expansion for Radiation Fields. 6.4.2. A Multipole Cancellation
in 2d. 6.4.3. A Multipole Cancellation in 3d. 6.5. Summary and Conclusions.
7: Layered Photonic Crystal with a Complete Three-dimensional Band Gap.
7.1. Introduction. 7.2. Other Photonic-Crystal Structures. 7.3.
Characterizing the New Structure. 7.4. Possible Fabrication Methods. 7.5.
Summary. 8: Block-iterative Frequency-Domain Methods for Maxwells
Equations. 8.1. Introduction. 8.2. The Maxwell Eigen Problem. 8.2.1. The
Choice of Basis. 8.2.2. Inversion Symmetry. 8.2.3. The Effective Dielectric
Tensor. 8.2.4. Preconditioners. 8.3. Iterative Eigensolvers. 8.3.1.
Conjugate-gradient Minimization of the Rayleigh Quotient. 8.3.2. The
Davidson Method. 8.3.3. Interior Eigenvalues. 8.3.4. To Block or Not To
Block? 8.3.5. Scaling. 8.4. Summary. 9: Concluding Remarks. 9.1. Looking
Back. 9.2. Looking Forward. Index.