Going beyond standard introductory texts, this well-illustrated book brings together many new mathematical techniques from optical science and engineering research at a level accessible to students and newcomers to the field. The text presents the mathematical formalisms used in wave optics, explores current research and technological advances in plasmonics, and describes the powerful methods of group theory and modern quantum optics. With many examples and exercises, it also covers super-resolution imaging and differential geometric methods in image processing.
Going beyond standard introductory texts, this well-illustrated book brings together many new mathematical techniques from optical science and engineering research at a level accessible to students and newcomers to the field. The text presents the mathematical formalisms used in wave optics, explores current research and technological advances in plasmonics, and describes the powerful methods of group theory and modern quantum optics. With many examples and exercises, it also covers super-resolution imaging and differential geometric methods in image processing.
Vasudevan Lakshminarayanan, María L. Calvo, Tatiana Alieva
Inhaltsangabe
Orbital Angular Momentum of Light: A Ray Optical Interpretation. Wigner Distributions Moments for Beam Characterization. Dynamic Programming: Applications in Optics. Basis Expansions for Monochromatic Field Propagation in Free Space. Solutions of Paraxial Equations and Families of Gaussian Beams. The Decomposition Method to Solve Differential Equations: Optical Applications. An Introduction to Mathematics of Transformational Plasmonics. Plasmonics: Computational Techniques. Lorentz Group in Ray and Polarization Optics. Paraxial Wave Equation: Lie Algebra-Based Approach. Dihedral Polynomials. Lie Algebra and Liouville Space Methods in Quantum Optics. From Classical to Quantum Light and Vice Versa. Coherence Functions in Quantum Optics. Quantum Memory Channels in Quantum Optics. An Introduction to Super-Resolution Imaging. The Differential Structure of Images.
Orbital Angular Momentum of Light: A Ray Optical Interpretation. Wigner Distributions Moments for Beam Characterization. Dynamic Programming: Applications in Optics. Basis Expansions for Monochromatic Field Propagation in Free Space. Solutions of Paraxial Equations and Families of Gaussian Beams. The Decomposition Method to Solve Differential Equations: Optical Applications. An Introduction to Mathematics of Transformational Plasmonics. Plasmonics: Computational Techniques. Lorentz Group in Ray and Polarization Optics. Paraxial Wave Equation: Lie Algebra-Based Approach. Dihedral Polynomials. Lie Algebra and Liouville Space Methods in Quantum Optics. From Classical to Quantum Light and Vice Versa. Coherence Functions in Quantum Optics. Quantum Memory Channels in Quantum Optics. An Introduction to Super-Resolution Imaging. The Differential Structure of Images.
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