Decomposition of the height function of Scherk's first surface

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Decomposition of the height function of Scherk's first surface

As x → ±∞, z = ±y tan( 1 2 α)+(n+ 1 2 )π sec( 1 2 α), respectively for integers n. Thus Scherk’s first surface connects two infinite sets of parallel planes at x = ±∞, equally spaced by π and rotated by an angle α with respect to each other. It has been used as a model for grain boundaries in diblock copolymers and smectic liquid crystals [2,3] where the multi-valued height function represents ...

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0 Decomposition of the Height Function of Scherk ’ s First Surface Randall

As x → ±∞, z = ±y tan( 1 2 α)+(n+ 1 2 )π sec( 1 2 α), respectively for integers n. Thus Scherk’s first surface connects two infinite sets of parallel planes at x = ±∞, equally spaced by π and rotated by an angle α with respect to each other. It has been used as a model for grain boundaries in diblock copolymers and smectic liquid crystals [2,3] where the multi-valued height function represents ...

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ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2001

ISSN: 0893-9659

DOI: 10.1016/s0893-9659(01)00046-5