Self-Assembled Triply Periodic Minimal Surfaces as Molds for Photonic Band Gap Materials
نویسندگان
چکیده
منابع مشابه
Fluid permeabilities of triply periodic minimal surfaces.
It has recently been shown that triply periodic two-phase bicontinuous composites with interfaces that are the Schwartz primitive (P) and diamond (D) minimal surfaces are not only geometrically extremal but extremal for simultaneous transport of heat and electricity. The multifunctionality of such two-phase systems has been further established by demonstrating that they are also extremal when a...
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We discuss the construction of triply period minimal surfaces. This includes concepts for constructing new examples as well as a discussion of numerical computations based on the new concept of discrete minimal surfaces. As a result we present a wealth of old and new examples and suggest directions for further generalizations.
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In recent decades, there has been an explosion in the number and variety of embedded triply-periodic minimal surfaces (TPMS) identified by mathematicians and materials scientists. Only the rare examples of low genus, however, are commonly invoked as shape templates in scientific applications. Exact analytic solutions are now known for many of the low genus examples. The more complex surfaces ar...
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A uniform and elementary treatment of many classical and new embedded triply periodic minimal surfaces in Euclidean space, based on a SchwarzChristoffel formula for periodic polygons in the plane, is given.
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oCLP surfaces with orthorhombic distortion (OCLP for short) are a fattily of twoparameter triply periodic embedded minimal surfaces. We show that they correspond to the Weierstrass function of the form ~
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1999
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.83.73