The advances in the theory of diffraction gratings and the
applications of these results certainly determine the progress in
several areas of applied science and engineering. The polarization
converters, phase shifters and filters, quantum and solid-state
oscillators, open quasi optical dispersive resonators and power
compressors, slow-wave structures and patter forming systems,
accelerators and spectrometer; that is still far from being a
complete list of devices exploiting the amazing ability of periodic
structures to perform controlled frequency, spatial, and
polarization selection of signals.
Diffraction gratings used to be and still are one of the most
popular objects of analysis in electromagnetic theory. The further
development of the theory of diffraction gratings, in spite of
considerable achievements, is still very important presently. The
requirements of applied optics and microwave engineering present
the theory of diffraction gratings with many new problems which
force us to search for new methods and tools for their resolution.
Just in such way there appeared recently new fields, connected with
the analysis, synthesis and definition of equivalent parameters of
artificial materials layers and coatings, having periodic structure
and possessing features, which can be found in natural materials
only in extraordinary or exceptional situations.
In this book the authors present results of the electromagnetic
theory of diffraction gratings that may constitute the base of
further development of this theory which can meet the challenges
provided by the most recent requirements of fundamental and applied
science.
The following issues will be considered in the book
- Authentic methods of analytical regularization, that perfectly
match the requirements of analysis of resonant scattering of
electromagnetic waves by gratings;
- Spectral theory of gratings, providing a reliable foundation
for the analysis of spatial frequency transformations of
electromagnetic fields occurring in open periodic resonators and
waveguides;
- Parametric Fourier method and C-method, that are oriented
towards the efficient numerical analysis of transformation
properties of fields in the case of arbitrary profile periodic
boundary between dielectric media and multilayered conformal
arrays;
- Rigorous methods for analysis of transient processes and
time-spatial transformations of electromagnetic waves in resonant
situations, based on development and incorporation in standard
numerical routines of FDTD of so called explicit absorbing boundary
conditions;
- New approaches to the solution of homogenization problems the
key problem arising in construction of metamaterials and meta
surfaces;
- New physical results about the resonance scattering of pulse
and monochromatic waves by periodic structures, including
structures with chiral or left-handed materials;
- Methods and the results of the solutions of several actual
applied problems of analysis and synthesis of pattern creating
gratings, power compressors, resonance radiators of high capacity
short radio pulses, open electromagnetic structures for the systems
of resonant quasi optics and absorbing coatings.
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