Get 3rd International Symposium on Quality Electronic Design: PDF

By IEEE Computer Society

ISBN-10: 0769515614

ISBN-13: 9780769515618

This quantity relies at the third overseas Symposium on caliber digital layout, and examines computing device layout and checking out. it really is geared toward researchers, professors, practitioners and scholars.

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Extra resources for 3rd International Symposium on Quality Electronic Design: Proceedings 2002 March 18-21, 2002, San Jose, California

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Moses, A. J. BG1 (2000) 9373-9379 COLLAPSE CONTROL IN AN INHOMOGENEOUS NONLINEAR SCHRODINGER EQUATION MODEL P. L. CHRISTIANSEN AND YU. B. GAIDIDEI Informatics and Mathematical Modelling, The Technical University of Denmark, DK-2800 Lyngby, Denmark. dk B. LEMESURIER Department of Mathematics, College of Charleston, Charleston, S C 29424, USA Collapse process in the inhomogeneous two-dimensional nonlinear Schrodinger equation is analyzed both numerically and analytically. It is shown that in the vicinity of a narrow attractive inhomogeneity, the collapse of beams which in the homogeneous medium would blow-up may be delayed and even arrested.

13) under the boundary condition that there are only outgoing waves as + 00. With this boundary condition the problem (13) is no longer self-adjoint (see a very lucid discussion of this subject for a closely related problem in 27). The eigenvalues may have a finite imaginary part which gives the rate of radiation losses. From Refs. 19-25 is known that in the homogeneous case ( V ( 3= 0) the function P ( z ) satisfies the equation -ipc2, < where the radiation rate v is given by the expression v = e(p) exp{--} 7r dF A is a numerical constant, e(p) is the Heaviside step-function.

As there are no bifurcations, the site-centred solution is stable and the bond-centred unstable for all E in the infinite chain. Comparing the value of the Hamiltonian (’energy’) of the two solutions for a fixed N , one finds that the site-centred solution always has the lowest energy. This energy difference has been proposed to act as a sort of Peierls-Nabarro potential barrier65. Another property of these two solutions in infinite 1D lattices is that they exist for arbitrarily small y (or arbitrarily small N for fixed y) Historical note.

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3rd International Symposium on Quality Electronic Design: Proceedings 2002 March 18-21, 2002, San Jose, California by IEEE Computer Society

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