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sigma07-108. 389KB Jun 04 2011 12:10:09 AM

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Figure 1.Straight waveguide with Robin boundary conditions.The dotted lines indicate that theboundary-coupling function is allowed to vary.
Figure 2. Ground state eigenfunctions for a/d = 0.3, α0 = 20.
Figure 3. The dependence of eigenvalues (in the units of ((left) andπ/d)2) on a/d in the case α0 = 105, α1 = 10−5 α0 = 20, α1 = 5 (right) and corresponding first gaps.
Figure 4.The dependence of first eigenvalue (in the units of (50π/d)2) on a/d in the cases: (a) α0 =, α1 = 3, (b) α0 = 70, α1 = 2, (c) α0 = 100, α1 = 1, (d) α0 = 200, α1 = 0.5, and in the Dirichlet–Neumann case (e) adopted from [9].

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