Diffractive Nanophotonics demonstrates the utility of the well-established methods of diffractive computer optics in solving nanophotonics tasks. It is concerned with peculiar properties of laser light diffraction by microoptics elements with nanoscale features and light confinement in subwavelength space regions. Written by recognized experts in this field, the book covers in detail a wide variety of advanced methods for the rigorous simulation of light diffraction. The authors apply their expertise to addressing cutting-edge problems in nanophotonics.
Chapters consider the basic equations of diffractive nanophotonics and related transformations and numerical methods for solving diffraction problems under strict electromagnetic theory. They examine the diffraction of light on two-dimensional microscopic objects of arbitrary shape and present a numerical method for solving the problem of diffraction on periodic diffractive micro- and nanostructures. This method is used in modern trends in nanophotonics, such as plasmonics, metamaterials, and nanometrology. The book describes the simulation of electromagnetic waves in nanophotonic devices and discusses two methods of calculating the spatial modes of microstructured photonic crystal fibres—a relatively new class of optical fibres with the properties of photonic crystals.
The book explains the theory of paraxial and non-paraxial laser beams with axial symmetry and an orbital angular momentum—called vortex beams—which are used for optical trapping and rotating micro- and nanoparticles in a ring in the cross-sectional plane of the beam. The final chapter discusses methods for calculating the force and torque exerted by the electromagnetic field focused onto the microparticle of arbitrary form, whose dimensions are comparable with the wavelength of light.
Basic equations of diffractive nanophotonics
Maxwell equations
Differential equations of optics
Integral theorems of optics
Integral transformations in optics
Numerical methods for diffraction theory
The finite-difference time-domain method for solving Maxwell’s equation
Numerical solution of the Helmholtz equations BPM–approach)
Diffraction on cylindrical inhomogeneities comparable to the wavelength
Analysis of diffraction on inhomogeneities by the combined finite element method and boundary element method
Finite element method for solving the two-dimensional integral diffraction equation
Diffraction of light on inhomogeneous dielectric cylinders
Fast iterative method for calculating the diffraction field of a monochromatic electromagnetic wave on a dielectric cylinder
Modelling of periodic diffractive micro- and nanostructures
The method of rigorous coupled-wave analysis for solving the diffraction problem in periodic diffractive structures
Formation of high-frequency interference patterns of surface plasma polaritons by diffraction gratings
Diffractive heterostructures with resonant magneto-optical properties
Metrology of periodic micro- and nanostructures by the reflectometry method
Photonic crystals and light focusing
One- and two-dimensional photonic crystals
Two-dimensional photonic crystal gradient Mikaelian lens
Sharp focusing of radially-polarized light
Three-dimensional photonic crystals
Interefence-litographic synthesis of photonic crystals
Three-dimensional photonic approximants of quasicrystals and related structures
One-dimensional photonic crystal based on a nanocomposite: metal nanoparticles – a dielectric
Photonic crystal fibres
Calculation of modes of photonic crystal fibres by the method of matched sinusoidal modes
Calculation of modes of photonic-crystal light guides by the finite difference method
Singular optics and superresolution
Optical elements that form wavefronts with helical phase singularities
The spiral phase plate
Quantized SPP with a restricted aperture, illuminated by a plane wave
Helical conical axicon
Helical logarithmic axicon
Elliptic vortex beams
The vortex beams in optical fibres
Matrices of optical vortices
Simulation of an optical vortex generated by a plane wave diffracted by a spiral phase plate
Optical trapping and manipulation of micro- and nano-objects
Calculation of the force acting on the micro-object by a focused laser beam
Methods for calculating the torque acting on a micro-object by a focused laser beam
A geometrical optics method for calculating the force acting by light on a microscopic object
Rotation of micro-objects in a Bessel beam
Optical rotation using a multiorder spiral phase plate
Rotation of microscopic objects in a vortex light ring formed by an axicon
Optical rotation in a double light ring
Optical rotation in a double ring of light
Rotation of micro-objects by means of hypergeometric beams and beams that do not have the orbital angular momentum using the spatial light modulator (SLM)
Investigation of rotation of micro-objects in light beams with orbital angular momentum
The capture of micro-objects in Airy beams with ballistic properties
Conclusion
Appendix A
Simulation using FULLWAVE
Appendix B
Simulation using FIMMWAVE
Appendix C
Simulation using OLYMPIOS program
Index
Biography
Victor A Soifer
"The authors have offered a comprehensive and accessible reference for computational methods in difractive nanophotonics."
—Axel Mainzer in Optics & Photonics News
