{"product_id":"localized-waves-hardback-9780470108857","title":"Localized Waves (Hardback) 9780470108857","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLocalized Waves\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eHugo E. Hernández-Figueroa (Edited by), HE Hernández–Figue (Author), Michel Zamboni-Rached (Edited by), Erasmo Recami (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470108857, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 19 February 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e392 pages\u003cbr\u003e24.1 x 16.3 x 2.5 cm, 0.68 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe first book on Localized Waves—a subject of phenomenal worldwide research with important applications from secure communications to medicine  \u003cp\u003eLocalized waves—also known as non-diffractive waves—are beams and pulses capable of resisting diffraction and dispersion over long distances even in non-guiding media. Predicted to exist in the early 1970s and obtained theoretically and experimentally as solutions to the wave equations starting in 1992, localized waves now garner intense worldwide research with applications in all fields where a role is played by a wave equation, from electromagnetism to acoustics and quantum physics. In the electromagnetics areas, they are paving the way, for instance, to ubiquitous secure communications in the range of millimeter waves, terahertz frequencies, and optics. At last, the localized waves with an envelope at rest are expected to have important applications especially in medicine.\u003c\/p\u003e \u003cp\u003eLocalized Waves brings together the world's most productive researchers in the field to offer a well-balanced presentation of theory and experiments in this new and exciting subject. Composed of thirteen chapters, this dynamic volume:\u003c\/p\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003ePresents a thorough review of the theoretical foundation and historical aspects of localized waves\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eExplores the interconnections of the subject with other technologies and scientific areas\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eAnalyzes the effect of arbitrary anisotropies on both continuous-wave and pulsed non-diffracting fields\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eDescribes the physical nature and experimental implementation of localized waves\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eProvides a general overview of wave localization, for example in photonic crystals, which have received increasing attention in recent years\u003c\/p\u003e \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eLocalized Waves is the first book to cover this emerging topic, making it an indispensable resource in particular for researchers in electromagnetics, acoustics, fundamental physics, and free-space communications, while also serving as a requisite text for graduate students.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eContributors xiii\u003c\/p\u003e \u003cp\u003ePreface xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Localized Waves: A Historical and Scientific Introduction 1\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eErasmo Recami, Michel Zamboni-Rached, and Hugo E. Hern\u003c\/i\u003e\u003ci\u003eández-Figueroa\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e1.1 General Introduction 2\u003c\/p\u003e \u003cp\u003e1.2 More Detailed Information 6\u003c\/p\u003e \u003cp\u003e1.2.1 Localized Solutions 9\u003c\/p\u003e \u003cp\u003eAppendix: Theoretical and Experimental History 17\u003c\/p\u003e \u003cp\u003eHistorical Recollections: Theory 17\u003c\/p\u003e \u003cp\u003eX-Shaped Field Associated with a Superluminal Charge 20\u003c\/p\u003e \u003cp\u003eA Glance at the Experimental State of the Art 23\u003c\/p\u003e \u003cp\u003eReferences 34\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Structure of Nondiffracting Waves and Some Interesting Applications 43\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eMichel Zamboni-Rached, Erasmo Recami, and Hugo E. Hern\u003c\/i\u003e\u003ci\u003eández-Figueroa\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 43\u003c\/p\u003e \u003cp\u003e2.2 Spectral Structure of Localized Waves 44\u003c\/p\u003e \u003cp\u003e2.2.1 Generalized Bidirectional Decomposition 46\u003c\/p\u003e \u003cp\u003e2.3 Space–Time Focusing of X-Shaped Pulses 54\u003c\/p\u003e \u003cp\u003e2.3.1 Focusing Effects Using Ordinary X-Waves 55\u003c\/p\u003e \u003cp\u003e2.4 Chirped Optical X-Type Pulses in Material Media 57\u003c\/p\u003e \u003cp\u003e2.4.1 Example: Chirped Optical X-Type Pulse in Bulk Fused Silica 62\u003c\/p\u003e \u003cp\u003e2.5 Modeling the Shape of Stationary Wave Fields: Frozen Waves 63\u003c\/p\u003e \u003cp\u003e2.5.1 Stationary Wave Fields with Arbitrary Longitudinal Shape in Lossless Media Obtained by Superposing Equal-Frequency Bessel Beams 63\u003c\/p\u003e \u003cp\u003e2.5.2 Stationary Wave Fields with Arbitrary Longitudinal Shape in Absorbing Media: Extending the Method 70\u003c\/p\u003e \u003cp\u003eReferences 76\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Two Hybrid Spectral Representations and Their Applications to the Derivations of Finite-Energy Localized Waves and Pulsed Beams 79\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eIoannis M. Besieris and Amr M. Shaarawi\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 79\u003c\/p\u003e \u003cp\u003e3.2 Overview of Bidirectional and Superluminal Spectral Representations 80\u003c\/p\u003e \u003cp\u003e3.2.1 Bidirectional Spectral Representation 81\u003c\/p\u003e \u003cp\u003e3.2.2 Superluminal Spectral Representation 83\u003c\/p\u003e \u003cp\u003e3.3 Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy X-Shaped Localized Waves 84\u003c\/p\u003e \u003cp\u003e3.3.1 Hybrid Spectral Representation 84\u003c\/p\u003e \u003cp\u003e3.3.2 (3 + 1)-Dimensional Focus X-Wave 85\u003c\/p\u003e \u003cp\u003e3.3.3 (3 + 1)-Dimensional Finite-Energy X-Shaped Localized Waves 86\u003c\/p\u003e \u003cp\u003e3.4 Modified Hybrid Spectral Representation and Its Application to the Derivation of Finite-Energy Pulsed Beams 89\u003c\/p\u003e \u003cp\u003e3.4.1 Modified Hybrid Spectral Representation 89\u003c\/p\u003e \u003cp\u003e3.4.2 (3 + 1)-Dimensional Splash Modes and Focused Pulsed Beams 89\u003c\/p\u003e \u003cp\u003e3.5 Conclusions 93\u003c\/p\u003e \u003cp\u003eReferences 93\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Ultrasonic Imaging with Limited-Diffraction Beams 97\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eJian-yu Lu\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 97\u003c\/p\u003e \u003cp\u003e4.2 Fundamentals of Limited-Diffraction Beams 99\u003c\/p\u003e \u003cp\u003e4.2.1 Bessel Beams 99\u003c\/p\u003e \u003cp\u003e4.2.2 Nonlinear Bessel Beams 101\u003c\/p\u003e \u003cp\u003e4.2.3 Frozen Waves 101\u003c\/p\u003e \u003cp\u003e4.2.4 X-Waves 101\u003c\/p\u003e \u003cp\u003e4.2.5 Obtaining Limited-Diffraction Beams with Variable Transformation 102\u003c\/p\u003e \u003cp\u003e4.2.6 Limited-Diffraction Solutions to the Klein–Gordon Equation 103\u003c\/p\u003e \u003cp\u003e4.2.7 Limited-Diffraction Solutions to the Schrödinger Equation 106\u003c\/p\u003e \u003cp\u003e4.2.8 Electromagnetic X-Waves 108\u003c\/p\u003e \u003cp\u003e4.2.9 Limited-Diffraction Beams in Confined Spaces 109\u003c\/p\u003e \u003cp\u003e4.2.10 X-Wave Transformation 114\u003c\/p\u003e \u003cp\u003e4.2.11 Bowtie Limited-Diffraction Beams 115\u003c\/p\u003e \u003cp\u003e4.2.12 Limited-Diffraction Array Beams 115\u003c\/p\u003e \u003cp\u003e4.2.13 Computation with Limited-Diffraction Beams 115\u003c\/p\u003e \u003cp\u003e4.3 Applications of Limited-Diffraction Beams 116\u003c\/p\u003e \u003cp\u003e4.3.1 Medical Ultrasound Imaging 116\u003c\/p\u003e \u003cp\u003e4.3.2 Tissue Characterization (Identification) 116\u003c\/p\u003e \u003cp\u003e4.3.3 High-Frame-Rate Imaging 116\u003c\/p\u003e \u003cp\u003e4.3.4 Two-Way Dynamic Focusing 116\u003c\/p\u003e \u003cp\u003e4.3.5 Medical Blood-Flow Measurements 117\u003c\/p\u003e \u003cp\u003e4.3.6 Nondestructive Evaluation of Materials 117\u003c\/p\u003e \u003cp\u003e4.3.7 Optical Coherent Tomography 117\u003c\/p\u003e \u003cp\u003e4.3.8 Optical Communications 117\u003c\/p\u003e \u003cp\u003e4.3.9 Reduction of Sidelobes in Medical Imaging 117\u003c\/p\u003e \u003cp\u003e4.4 Conclusions 117\u003c\/p\u003e \u003cp\u003eReferences 118\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Propagation-Invariant Fields: Rotationally Periodic and Anisotropic Nondiffracting Waves 129\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eJanne Salo and Ari T. Friberg\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 129\u003c\/p\u003e \u003cp\u003e5.1.1 Brief Overview of Propagation-Invariant Fields 130\u003c\/p\u003e \u003cp\u003e5.1.2 Scope of This Chapter 133\u003c\/p\u003e \u003cp\u003e5.2 Rotationally Periodic Waves 134\u003c\/p\u003e \u003cp\u003e5.2.1 Fourier Representation of General RPWs 135\u003c\/p\u003e \u003cp\u003e5.2.2 Special Propagation Symmetries 135\u003c\/p\u003e \u003cp\u003e5.2.3 Monochromatic Waves 136\u003c\/p\u003e \u003cp\u003e5.2.4 Pulsed Single-Mode Waves 138\u003c\/p\u003e \u003cp\u003e5.2.5 Discussion 142\u003c\/p\u003e \u003cp\u003e5.3 Nondiffracting Waves in Anisotropic Crystals 142\u003c\/p\u003e \u003cp\u003e5.3.1 Representation of Anisotropic Nondiffracting Waves 143\u003c\/p\u003e \u003cp\u003e5.3.2 Effects Due to Anisotropy 146\u003c\/p\u003e \u003cp\u003e5.3.3 Acoustic Generation of NDWs 148\u003c\/p\u003e \u003cp\u003e5.3.4 Discussion 149\u003c\/p\u003e \u003cp\u003e5.4 Conclusions 150\u003c\/p\u003e \u003cp\u003eReferences 151\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Bessel X-Wave Propagation 159\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eDaniela Mugnai and Iacopo Mochi\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 159\u003c\/p\u003e \u003cp\u003e6.2 Optical Tunneling: Frustrated Total Reflection 160\u003c\/p\u003e \u003cp\u003e6.2.1 Bessel Beam Propagation into a Layer: Normal Incidence 160\u003c\/p\u003e \u003cp\u003e6.2.2 Oblique Incidence 164\u003c\/p\u003e \u003cp\u003e6.3 Free Propagation 169\u003c\/p\u003e \u003cp\u003e6.3.1 Phase, Group, and Signal Velocity: Scalar Approximation 169\u003c\/p\u003e \u003cp\u003e6.3.2 Energy Localization and Energy Velocity: A Vectorial Treatment 172\u003c\/p\u003e \u003cp\u003e6.4 Space–Time and Superluminal Propagation 180\u003c\/p\u003e \u003cp\u003eReferences 181\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Linear-Optical Generation of Localized Waves 185\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eKaido Reivelt and Peeter Saari\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 185\u003c\/p\u003e \u003cp\u003e7.2 Definition of Localized Waves 186\u003c\/p\u003e \u003cp\u003e7.3 The Principle of Optical Generation of LWs 191\u003c\/p\u003e \u003cp\u003e7.4 Finite-Energy Approximations of LWs 193\u003c\/p\u003e \u003cp\u003e7.5 Physical Nature of Propagation Invariance of Pulsed Wave Fields 195\u003c\/p\u003e \u003cp\u003e7.6 Experiments 198\u003c\/p\u003e \u003cp\u003e7.6.1 LWs in Interferometric Experiments 198\u003c\/p\u003e \u003cp\u003e7.6.2 Experiment on Optical Bessel X-Pulses 200\u003c\/p\u003e \u003cp\u003e7.6.3 Experiment on Optical LWs 203\u003c\/p\u003e \u003cp\u003e7.7 Conclusions 211\u003c\/p\u003e \u003cp\u003eReferences 213\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Optical Wave Modes: Localized and Propagation-Invariant Wave Packets in Optically Transparent Dispersive Media 217\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eMiguel A. Porras, Paolo Di Trapani, and Wei Hu\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 217\u003c\/p\u003e \u003cp\u003e8.2 Localized and Stationarity Wave Modes Within the SVEA 219\u003c\/p\u003e \u003cp\u003e8.2.1 Dispersion Curves Within the SVEA 221\u003c\/p\u003e \u003cp\u003e8.2.2 Impulse-Response Wave Modes 222\u003c\/p\u003e \u003cp\u003e8.3 Classification of Wave Modes of Finite Bandwidth 224\u003c\/p\u003e \u003cp\u003e8.3.1 Phase-Mismatch-Dominated Case: Pulsed Bessel Beam Modes 226\u003c\/p\u003e \u003cp\u003e8.3.2 Group-Velocity-Mismatch-Dominated Case: Envelope Focus Wave Modes 227\u003c\/p\u003e \u003cp\u003e8.3.3 Group-Velocity-Dispersion-Dominated Case: Envelope X- and Envelope O-Modes 229\u003c\/p\u003e \u003cp\u003e8.4 Wave Modes with Ultrabroad Bandwidth 231\u003c\/p\u003e \u003cp\u003e8.4.1 Classification of SEWA Dispersion Curves 233\u003c\/p\u003e \u003cp\u003e8.5 About the Effective Frequency, Wave Number, and Phase Velocity of Wave Modes 236\u003c\/p\u003e \u003cp\u003e8.6 Comparison Between Exact, SEWA, and SVEA Wave Modes 238\u003c\/p\u003e \u003cp\u003e8.7 Conclusions 240\u003c\/p\u003e \u003cp\u003eReferences 240\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Nonlinear X-Waves 243\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eClaudio Conti and Stefano Trillo\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 243\u003c\/p\u003e \u003cp\u003e9.2 NLX Model 245\u003c\/p\u003e \u003cp\u003e9.3 Envelope Linear X-Waves 247\u003c\/p\u003e \u003cp\u003e9.3.1 X-Wave Expansion and Finite-Energy Solutions 250\u003c\/p\u003e \u003cp\u003e9.4 Conical Emission and X-Wave Instability 252\u003c\/p\u003e \u003cp\u003e9.5 Nonlinear X-Wave Expansion 255\u003c\/p\u003e \u003cp\u003e9.5.1 Some Examples 255\u003c\/p\u003e \u003cp\u003e9.5.2 Proof 256\u003c\/p\u003e \u003cp\u003e9.5.3 Evidence 257\u003c\/p\u003e \u003cp\u003e9.6 Numerical Solutions for Nonlinear X-Waves 257\u003c\/p\u003e \u003cp\u003e9.6.1 Bestiary of Solutions 259\u003c\/p\u003e \u003cp\u003e9.7 Coupled X-Wave Theory 262\u003c\/p\u003e \u003cp\u003e9.7.1 Fundamental X-Wave and Fundamental Soliton 264\u003c\/p\u003e \u003cp\u003e9.7.2 Splitting and Replenishment in Kerr Media as a Higher-Order Soliton 264\u003c\/p\u003e \u003cp\u003e9.8 Brief Review of Experiments 265\u003c\/p\u003e \u003cp\u003e9.8.1 Angular Dispersion 265\u003c\/p\u003e \u003cp\u003e9.8.2 Nonlinear X-Waves in Quadratic Media 265\u003c\/p\u003e \u003cp\u003e9.8.3 X-Waves in Self-Focusing of Ultrashort Pulses in Kerr Media 266\u003c\/p\u003e \u003cp\u003e9.9 Conclusions 266\u003c\/p\u003e \u003cp\u003eReferences 267\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Diffraction-Free Subwavelength-Beam Optics on a Nanometer Scale 273\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eSergei V. Kukhlevsky\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 273\u003c\/p\u003e \u003cp\u003e10.2 Natural Spatial and Temporal Broadening of Light Waves 275\u003c\/p\u003e \u003cp\u003e10.3 Diffraction-Free Optics in the Overwavelength Domain 281\u003c\/p\u003e \u003cp\u003e10.4 Diffraction-Free Subwavelength-Beam Optics on a Nanometer Scale 286\u003c\/p\u003e \u003cp\u003e10.5 Conclusions 292\u003c\/p\u003e \u003cp\u003eAppendix 292\u003c\/p\u003e \u003cp\u003eReferences 293\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Self-Reconstruction of Pulsed Optical X-Waves 299\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eRuediger Grunwald, Uwe Neumann, Uwe Griebner, G\u003c\/i\u003e\u003ci\u003eünter Steinmeyer, Gero Stibenz, Martin Bock, and Volker Kebbel\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 299\u003c\/p\u003e \u003cp\u003e11.2 Small-Angle Bessel-Like Waves and X-Pulses 300\u003c\/p\u003e \u003cp\u003e11.3 Self-Reconstruction of Pulsed Bessel-Like X-Waves 303\u003c\/p\u003e \u003cp\u003e11.4 Nondiffracting Images 306\u003c\/p\u003e \u003cp\u003e11.5 Self-Reconstruction of Truncated Ultrabroadband Bessel–Gauss Beams 307\u003c\/p\u003e \u003cp\u003e11.6 Conclusions 310\u003c\/p\u003e \u003cp\u003eReferences 311\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Localization and Wannier Wave Packets in Photonic Crystals Without Defects 315\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eStefano Longhi and Davide Janner\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 315\u003c\/p\u003e \u003cp\u003e12.2 Diffraction and Localization of Monochromatic Waves in Photonic Crystals 317\u003c\/p\u003e \u003cp\u003e12.2.1 Basic Equations 317\u003c\/p\u003e \u003cp\u003e12.2.2 Localized Waves 319\u003c\/p\u003e \u003cp\u003e12.3 Spatiotemporal Wave Localization in Photonic Crystals 324\u003c\/p\u003e \u003cp\u003e12.3.1 Wannier Function Technique 325\u003c\/p\u003e \u003cp\u003e12.3.2 Undistorted Propagating Waves in Two- and Three-Dimensional Photonic Crystals 329\u003c\/p\u003e \u003cp\u003e12.4 Conclusions 334\u003c\/p\u003e \u003cp\u003eReferences 335\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Spatially Localized Vortex Structures 339\u003cbr\u003e\u003c\/b\u003e\u003ci\u003eZden\u003c\/i\u003e\u003ci\u003eěk Bouchal, Radek \u003c\/i\u003e\u003ci\u003eČ elechovsk, and Grover A. Swartzlander, Jr.\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 339\u003c\/p\u003e \u003cp\u003e13.2 Single and Composite Optical Vortices 342\u003c\/p\u003e \u003cp\u003e13.3 Basic Concept of Nondiffracting Beams 346\u003c\/p\u003e \u003cp\u003e13.4 Energetics of Nondiffracting Vortex Beams 350\u003c\/p\u003e \u003cp\u003e13.5 Vortex Arrays and Mixed Vortex Fields 352\u003c\/p\u003e \u003cp\u003e13.6 Pseudo-nondiffracting Vortex Fields 354\u003c\/p\u003e \u003cp\u003e13.7 Experiments 357\u003c\/p\u003e \u003cp\u003e13.7.1 Fourier Methods 357\u003c\/p\u003e \u003cp\u003e13.7.2 Spatial Light Modulation 358\u003c\/p\u003e \u003cp\u003e13.8 Applications and Perspectives 361\u003c\/p\u003e \u003cp\u003eReferences 363\u003c\/p\u003e \u003cp\u003eIndex 367\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Electronics \u0026amp; communications engineering [\u003ca title=\"See our other books on Electronics \u0026amp; communications engineering\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Electronics%20\u0026amp;%20communications%20engineering%20%5BTJ%5D%22\"\u003eTJ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-IEEE Press","offers":[{"title":"Brand New","offer_id":52257072021784,"sku":"9780470108857","price":119.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470108857.jpg?v=1781276284","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/localized-waves-hardback-9780470108857","provider":"Freshly Printed Books","version":"1.0","type":"link"}