This continuation and extension of the successful monograph Localized Waves by the same editors brings together leading researchers in non-diffracting waves to cover the most important results in their field, and as such is the first to present the current state. The well-balanced presentation of theory and experiments guides readers through the background of different types of non-diffracting waves, their generation, propagation, and possible applications.
The authors include a historical account of the development of the field and cover different types of non-diffracting waves, including Frozen Waves, Airy Waves and realistic, finite-energy solutions suitable for experimental realization. Apart from basic research, the results and concepts explained can be applied to a wide range of technologies, from wireless and free-space communication to acoustics and bio-medicine.

From the contents:

• Non-Diffracting Waves: An Introduction

• Localized Waves: Historical and Personal Perspectives

• Applications of Propagation Invariant Light Fields

• X-Type Waves in Ultrafast Optics

• Limited-Diffraction Beams for High-Frame-Rate Imaging

• Spatiotemporally Localized Null Electromagnetic Waves

• Linearly Traveling and Accelerating Localized Wave Solutions to the Schrödinger and Schrödinger-like
Equations

• Rogue X-Waves

• Quantum X-Waves and Applications in Nonlinear Optics

• TE and TM Optical Localized Beams

• Spatiotemporal Localization of Ultrashort-Pulsed Bessel Beams at Extremely Low Light Level

• Adaptive Shaping of Nondiffracting Wavepackets for Applications in Ultrashort Pulse Diagnostics

• Localized Waves Emanated by Pulsed Sources: The Riemann–Volterra Approach

• Propagation-Invariant Optical Beams and Pulses

• Diffractionless Nanobeams Produced by Multiple-Waveguide Metallic Nanostructures

• Low-Cost 2D Collimation of Real-Time Pulsed Ultrasonic Beams by X-Wave-Based High-Voltage Driving
of Annular Arrays

• Localized Beams and Localized Pulses: Generation Using the Angular Spectrum

• Lossy Light Bullets

• Beyond the Diffraction Limit: Composed Pupils

• Experimental Generation of Frozen Waves in Optics: Control of Longitudinal and Transverse Shape of
Optical Nondiffracting Waves

• Airy Shaped Waves

• Solitons and Ultra-Short Optical Waves: The Short-Pulse Equation Versus the Nonlinear Schrödinger
Equation