Landau Damping for Students Part II Boundary Value Problem

By setting the frequency ω in Vlasov's equation to a complex number, we have been able to remove the singularity in the integrand that has, in our own experience, caused our students so much trouble in the past. The resulting proper integrals are real, easily evaluated by elementary means, and yield correctly Landau's value for growth (and by extension, damping). The basic point in Justifying the derivation is that Landau damping for the student is no longer a mysterious phenomenon, obtained only via complex, contour integration, but an easily computed fact.