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Yayın A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin(IEEE, 2015) Tavşanoğlu, Ahmet VedatThis paper presents a systematic approach to the computation of the impulse response in the time domain at the origin and post-initial conditions of an N-th-order causal SISO LTI system differential equation. It is shown that the solution and its N-1 derivatives of such a differential equation with a unit impulse input in the time interval 0(-) <= t <= 0(+) are singularity functions, each containing one stepwise discontinuity term whose magnitude is one of the N post-initial conditions of the differential equation for t >= 0(+). The approach presented is envisaged to provide a simplified tool not only for the computation but also for the teaching of the impulse response.Yayın The concept of confluence and the edge conditions for a wedge bounded by material sheets(IEEE, 2000) İdemen, Mehmet MithatThe edge conditions which dictate the asymptotic behaviour of the electromagnetic field near the edges play a crucial role in solving boundary-value problems involving boundaries having edges, in analytical studies they permit one to determine some unknown functions while in numerical investigations they enable one to improve the convergence of some processes by introducing beforehand the edge singularities into the field functions. This work is devoted to the analysis of wedge configurations bounded by material sheets having different constitutive parameters. From mathematical point of view, the problem can be reduced to 9 canonical types. These canonical types are investigated in full detail by introducing the confluence concept which permits one to reveal also the logarithmic singularities, if any.
