Photonic crystal fibers guide light by corralling it within a periodic array of microscopic air holes that run along the entire fiber length Largely through their ability to overcome the limitations of conventional fiber optics—for example, by permitting low-loss guidance of light in a hollow core—these fibers are proving to have a multitude of important technological and scientific applications spanning many disciplines The result has been a renaissance of interest in optical fibers and their uses

https://science.sciencemag.org/content/sci/299/5605/358.full.pdf

Photonic crystal fibers

The theory of quasi-phase-matched second-harmonic generation is presented in both the space domain and the wave vector mismatch domain. Departures from ideal quasi-phase matching in periodicity, wavelength, angle of propagation, and temperature are examined to determine the tuning properties and acceptance bandwidths for second-harmonic generation in periodic structures. Numerical examples are tabulated for periodically poled lithium niobate. Various types of errors in the periodicity of these structures are then analyzed to find their effects on the conversion efficiency and on the shape of the tuning curve. This analysis is useful for establishing fabrication tolerances for practical quasi-phase-matched devices. A method of designing structures having desired phase-matching tuning curve shapes is also described. The method makes use of varying domain lengths to establish a varying effective nonlinear coefficient along the interaction length. >

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Quasi-phase-matched second harmonic generation: tuning and tolerances

We propose a new type of optical waveguide that consists of a sequence of coupled high- Q resonators. Unlike other types of optical waveguide, waveguiding in the coupled-resonator optical waveguide (CROW) is achieved through weak coupling between otherwise localized high- Q optical cavities. Employing a formalism similar to the tight-binding method in solid-state physics, we obtain the relations for the dispersion and the group velocity of the photonic band of the CROW's and find that they are solely characterized by coupling factor k 1 . We also demonstrate the possibility of highly efficient nonlinear optical frequency conversion and perfect transmission through bends in CROW's.

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Coupled-resonator optical waveguide:?a proposal and analysis

The ideal material for nanophotonic applications will have a large refractive index at optical frequencies, respond to both the electric and magnetic fields of light, support large optical chirality and anisotropy, confine and guide light at the nanoscale, and be able to modify the phase and amplitude of incoming radiation in a fraction of a wavelength. Artificial electromagnetic media, or metamaterials, based on metallic or polar dielectric nanostructures can provide many of these properties by coupling light to free electrons (plasmons) or phonons (phonon polaritons), respectively, but at the inevitable cost of significant energy dissipation and reduced device efficiency. Recently, however, there has been a shift in the approach to nanophotonics. Low-loss electromagnetic responses covering all four quadrants of possible permittivities and permeabilities have been achieved using completely transparent and high-refractive-index dielectric building blocks. Moreover, an emerging class of all-dielectric metamaterials consisting of anisotropic crystals has been shown to support large refractive index contrast between orthogonal polarizations of light. These advances have revived the exciting prospect of integrating exotic electromagnetic effects in practical photonic devices, to achieve, for example, ultrathin and efficient optical elements, and realize the long-standing goal of subdiffraction confinement and guiding of light without metals. In this Review, we present a broad outline of the whole range of electromagnetic effects observed using all-dielectric metamaterials: high-refractive-index nanoresonators, metasurfaces, zero-index metamaterials and anisotropic metamaterials. Finally, we discuss current challenges and future goals for the field at the intersection with quantum, thermal and silicon photonics, as well as biomimetic metasurfaces.

All-dielectric metamaterials

The history, fabrication, theory, numerical modeling, optical properties, guidance mechanisms, and applications of photonic-crystal fibers are reviewed

Photonic-Crystal Fibers

Chapter 1. The Electromagnetic Field. Chapter 2. Interaction of Electromagnetic Radiation with Matter. Chapter 3. Reflection and Refraction of Plane Waves. Chapter 4. Optics of A Single Homogeneous and Isotropic Layer. Chapter 5. Matrix Formulation for Isotropic Layered Media. Chapter 6. Optics of Periodic Layered Media. Chapter 7. Some Applications of Isotropic Layered Media. Chapter 8. Inhomogeneous Layers. Chapter 9. Optics of Anisotropic Layered Media. Chapter 10. Some Applications of Anisotropic Layered Media. Chapter 11. Guided Waves in Layered Media. Chapter 12. Optics of Semiconductor Quantum Wells and Superlattice Structures. Appendix: Zeros of Mode Dispersion RElation. Author Index. Subject Index.

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Optical Waves in Layered Media

Optical waves in layered media

The propagation of electromagnetic radiation in periodically stratified media is considered. Media of finite, semi-infinite, and infinite extent are treated. A diagonalization of the unit cell translation operator is used to obtain exact solutions for the Bloch waves, the dispersion relations, and the band structure of the medium. Some new phenomena with applications to integrated optics and laser technology are presented.

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Electromagnetic propagation in periodic stratified media. I. General theory

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists

/pdf/optical-waves-in-crystals-propagation-and-control-of-laser-1hq1zgdrsz.pdf

Optical Waves in Crystals: Propagation and Control of Laser Radiation

Electromagnetic Waves in Crystals. Electromagnetic Propagation in Periodic Media. Photorefractive Effects. Wave Mixing in Photorefractive Media. Photorefractive Resonators. Photorefractive Phase Conjugators. Diffraction Properties of Gratings in Photorefractive Media. Volume Holograms and Planar Holograms. Phase Conjugate Interferometry. Optical Computing. Other Applications. Higher Order Photo--Induced Gratings. Appendices. Indexes.

Pochi Yeh

Papers

Optical Waves in Layered Media

Optical waves in layered media

Electromagnetic propagation in periodic stratified media. I. General theory

Optical Waves in Crystals: Propagation and Control of Laser Radiation

Introduction to photorefractive nonlinear optics