26 citations · 144 across the 37 of their papers we have counts for
5 papers · 1 filter
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions
Yajun Zhou
We carry out quantitative studies on the Green operator associated with the Born equation, an integral equation that models electromagnetic scattering, building…
Symmetries of certain double integrals related to Hall effect devices
Udo Ausserlechner. M. L. Glasser, Yajun Zhou
One encounters iterated elliptic integrals in the study of Hall effect devices, as a result of conformal mappings of Schwarz--Christoffel type. Some of these double elliptic integr…
A Functional Identity involving Elliptic Integrals
M. L. Glasser, Yajun Zhou
We show that the following double integral \[\int_{0}^π{\rm d}x \int_0^x {\rm d}y \frac{1}{\sqrt{1-\smash[b]{p}\cos x}\sqrt{1+\smash[b]{q\cos y}}}\]remains invariant as one trades…
Quantitative spectral analysis of electromagnetic scattering. I: and Hilbert-Schmidt norm bounds
Yajun Zhou
We perform quantitative spectral analysis on the Born equation, an integral equation for electromagnetic scattering that descends from the Maxwell equations. We establish norm boun…
Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics
Yajun Zhou
Spectral analysis is performed on the Born equation, a strongly singular integral equation modeling the interactions between electromagnetic waves and arbitrarily shaped dielectric…