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SKU/Artículo: AMZ-B0G1MXVSGH
Mathematical Foundations of Photonics: Theorems, Proofs, and Python Implementations (Computational Mathematics Library)
Format:
Hardcover
Detalles del producto
Disponibilidad:
En stock
En stock
Peso con empaque:
1.03 kg
1.03 kg
Devolución:
Sí
Sí
Condición
Nuevo
Nuevo
Producto de:
Amazon
Amazon
Viaja desde
USA
USA
Sobre este producto
- Unify modern photonics with the language of functional analysis and operator theory. From the differential-form Maxwell equations and the de Rham complex to spectral and scattering theory, this rigorous reference builds a provably correct framework for wave propagation in complex media. Detailed treatments of H(curl) and H(div) spaces, weak and variational formulations in open domains with precise radiation conditions, dyadic Green tensors and integral representations, and well posedness via Lax Milgram, Fredholm theory, unique continuation, and limiting absorption provide a solid foundation for cavities, waveguides, and open resonators.Go beyond classical optics with chapters on Bloch Floquet analysis for photonic crystals, topological band invariants via Berry curvature, Chern numbers, Wilson loops and bulk boundary correspondence, non Hermitian spectral theory with exceptional points and pseudospectra, causality and Kramers Kronig bounds using Herglotz and positive real functions, anisotropic and bianisotropic tensors including hyperbolic media, and nonlinear Maxwell reductions to coupled mode and nonlinear Schrödinger equations. Advanced topics include time periodic modulation and Floquet photonics, metamaterial homogenization with spatial dispersion and G closure bounds, stochastic media and radiative transfer through Anderson localization, inverse problems and PDE constrained photonic design with adjoint methods, and structure preserving computation via Nedelec finite elements, Calderon projectors, hp error estimates, boundary integral formulations, FDTD and DGTD stability analysis, and mathematically sound PML. Energy, momentum, reciprocity, and passivity are derived alongside macroscopic QED for dispersive and lossy media, including quantization, input output theory, and Casimir forces.Ideal for graduate students and researchers in applied mathematics, physics, and electrical engineering who demand proofs as well as algorithms, with clear statements of theorems, assumptions, normalization of quasinormal modes, S matrix unitarity and the optical theorem, and perturbation theory for material and geometric changes.
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