In this work we propose the analysis of the complete Blumlein circuit
for the excitation of a N-2-laser that produces a high order linear in
tegro-differential equations system, when each of the two discharges (
the spark gap and the laser chamber) taking place in the circuit are s
imulated by an inductance and a resistance connected in series. The sw
itching time of both discharges is considered. The solution is found t
hrough a parametric identification method based in the measured voltag
es in the charge capacitors. A Runge-Kutta method for solving the inte
gral terms and a Gauss-Seidel algorithm for the parametric identificat
ion were used.