6 papers
Analytic solutions for the longitudinal and the transverse components of the vector potential in the Lorenz gauge
Kuo-Ho Yang, Robert D. Nevels
We derive analytic solutions for the longitudinal and the transverse components of the vector potential in the Lorenz gauge for an arbitrary time-dependent charge-current distribut…
General vector auxiliary differential equation finite-difference time-domain method for rotationally symmetric vector wave propagation in nonlinear optics
Caleb J. Grimms, Robert D. Nevels
In this paper the theory and simulation results are presented for 3D vector cylindrical rotationally symmetric electromagnetic wave propagation in an isotropic nonlinear medium usi…
Reply to "Comments on work of Yang and Nevels 'Direct, analytic solution for the electromagnetic vector potential in any gauge' (arXiv:2507.02104)" by Onoochin (arXiv:2507.08042)
Kuo-Ho Yang, Robert D Nevels
Because of a difference between his and our results for the Coulomb-gauge vector potential, Onoochin (arXiv:2507.08042) suspected that we might have used some (so far unidentified)…
Velocity, temporal and generalized Kirchhoff gauges
Kuo-Ho Yang, Robert D. Nevels
We derive the dyadic Green's function for the generalized velocity gauge in the time domain with an arbitrary parameter v and show that it reduces to the Lorenz and the Coulomb gau…
Direct, analytic solution for the electromagnetic vector potential in any gauge
Kuo-Ho Yang, Robert D. Nevels
We derive an analytic solution for the electromagnetic vector potential in any gauge directly from Maxwell's equations for potentials for an arbitrary time-dependent charge-current…
Extending the FDTD GVADE method nonlinear polarization vector to include anisotropy
Caleb J. Grimms, Robert D. Nevels
In this paper the finite-difference time-domain general vector auxiliary differential equation method [Greene, J. H. and A. Taflove, Opt. Express 14, 8305 (2006)], nonlinear polari…