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Near the Horizon - An Invitation to Geometric Optics (Hardcover)
Loot Price: R1,917
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Near the Horizon - An Invitation to Geometric Optics (Hardcover)
Series: Carus Mathematical Monographs
Expected to ship within 12 - 17 working days
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Several optical phenomena can occur when the sun is near the
horizon, some of which can actually be seen, for instance as a dark
strip in the middle of the solar disk, or as a green flash. These
are a result of the way the atmosphere affects the geometry of
light rays. In this book, Broer uses the Fermat principle to deduce
laws for refraction and reflection. By expressing these as
conservation laws, he can handle both the case of inhomogeneous
layers of air and the case of continuous variation in the
refraction index. Building from this elementary theory, more
advanced mathematical theories are discussed, including how the
Fermat Principle leads to a Riemannian metric whose geodesics are
the paths of light rays, thus demonstrating the physical
applicability of Riemannian geometry. Intended for teachers and
professors to enlighten their courses, or for students and
researchers in mathematics, science and engineering.
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