This book brings together the many concepts and discoveries in
liquid crystal colloids contributed over the last twenty years and
scattered across numerous articles and book chapters. It provides
both a historical overview of the development of the field and a
clear perspective on the future applications in photonics. The book
covers all phenomena observed in liquid crystal colloids with an
emphasis on experimental tools and applications of topology in
condensed matter, as well as practical micro-photonics
applications. It includes a number of spectacular manifestations of
new topological phenomena not found or difficult to observe in
other systems. Starting from the early works on nematic colloids,
it explains the basics of topological defects in ordered media,
charge and winding, and the elastic forces between colloidal
particles in nematics. Following a detailed description of
experimental methods, such as optical tweezing and particle
tracking, the book eases the reader into the theoretical part,
which deals with elastic deformation of nematic liquid crystals due
to inclusions and surface alignment. This is discussed in the
context of basic mean field Landau-de Gennes Q-tensor theory, with
a brief explanation of the free-energy minimization numerical
methods. There then follows an excursion into the topology of
complex nematic colloidal structures, colloidal entanglement,
knotting and linking. Nematic droplets, shells, handlebodies and
chiral topological structures are addressed in separate chapters.
The book concludes with an extensive chapter on the photonic
properties of nematic dispersions, presenting the concept of
integrated soft matter photonics and discussing the concepts of
nematic and chiral nematic microlasers, surface-sensitive photonic
devices and smectic microfibers. The text is complemented by a
large bibliography, explanatory sketches and beautiful micrographs.
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