Freeform Vector Diffraction Theory (Series in Optics and Optoelectronics)

Freeform Vector Diffraction Theory traces the conceptual journey from classical scalar diffraction to a rigorous and generalized framework for computing the vector diffraction patterns of arbitrary freeform wavefronts and complex, spatially varying polarization states. Readers will gain a unified theoretical perspective that enables accurate prediction of electromagnetic field behavior in high-numerical-aperture systems and modern non-conventional optics.The book delivers these fundamental insights through detailed mathematical and geometrical toolkits, including vector calculus and Zernike polynomials, which facilitate rigorous derivations of the generalized Richards-Wolf integrals in both cylindrical and Cartesian coordinates.It also explores key practical applications in fields such as super-resolution microscopy, advanced lithography, and optical trapping.Through in-depth analysis of apodization functions and the response of radially, azimuthally, and linearly polarized light, read