Geometrical Optics of Inhomogeneous Media presents a systematic treatment of geometrical optics, the most effective and widely used method of wave theory. The treatment includes the major developments of recent decades, among them the space-time geometrical optics of dispersive media, the quasi-isotropic approximation, new perturbation techniques for rays, and universally valid limits of applicability.
Reihe
Auflage
Softcover reprint of the original 1st ed. 1990
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-3-642-84033-3 (9783642840333)
DOI
10.1007/978-3-642-84031-9
Schweitzer Klassifikation
1. Introduction.- 2. The Scalar Wave Field.- 2.1 Equations of Geometrical Optics.- 2.2 Rays and the Eikonal.- 2.3 Wave Amplitude.- 2.4 Caustics.- 2.5 Reflection and Refraction of Waves at Interfaces.- 2.6 Reciprocity of Rays and Caustics.- 2.7 Space-Time Geometrical Optics.- 2.8 Separation of Variables in the Eikonal Equation.- 2.9 Perturbation Techniques for Geometrical-Optics Equations.- 2.10 Applicability of Geometrical Optics.- 3. Applications of the Ray Methods.- 3.1 Waves in Homogeneous Media.- 3.2 Reflection and Refraction at an Interface Between Homogeneous Media.- 3.3 Rays and Caustics in Plane-Stratified Media.- 3.4 Wave Fields in Plane-Stratified Media.- 3.5 Waves in Radially Inhomogeneous Media.- 3.6 Tapered and Other Inhomogeneous Media.- 3.7 Geometrical Optics of Waveguides and Resonators.- 3.8 Wave Scattering at Localized Inhomogeneities.- 3.9 Pulse Propagation.- 3.10 Numerical Methods in the Geometrical Optics of Inhomogeneous Media.- 3.11 Inverse Problems of Geometrical Optics.- 4. Vector Wave Fields.- 4.1 Transverse Electromagnetic Waves in Isotropic Media.- 4.2 Independent Normal Waves in an Anisotropic Medium.- 4.3 Interaction of Normal Modes in Inhomogeneous Anisotropic Media.- 4.4 Equations of Geometrical Optics for Nonharmonic Electromagnetic Waves in the General Case of Inhomogeneous and Nonstationary Dispersive Media.- 4.5 Constitutive Equations for Nonstationary and Inhomogeneous Dispersive Media. Existence of Adiabatic Invariance.- 4.6 Wave Processes in Nonstationary Media.- 5. Conclusion.- References.
