Abstract
Pole figures are represented as the sum of solutions of two ultrahyperbolic differential equations. We derive the domains of dependence for pole figures and apply the method of continuation to solve the ultrahyperbolic equations.
Highlights
The domains G and G;- are shown in figures 3a, 3b, the domains G
Let us consider the set of pole figures with hi Oi, } when const
For example the pole figures which can be calculated in the domains of dependence by solving the system of equations (29): 1010}, 1011 }, 1012} or 110}, 111 }, 11 2 etc for hexagonal or trigonal lattice symmetry; 110 }. 111 }, 112 and others for cubic lattice symmetry
Summary
SAVYOLOVA MIFI (Moscow Engineering Physical Institute), Kashirskoe Shosse 31, 115409, Russia (Received 10 October 1995). Pole figures are represented as the sum of solutions of two ultrahyperbolic differential equations. We derive the domains of dependence for pole figures and apply the method of continuation to solve the ultrahyperbolic equations. KEY WORDS" Ultrahyperbolic differential equation, Domain of dependence, Orientation distribution function
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