The inverse rule that is described in a recent paper [J. Opt. Soc. Am. A 17, 491 (2000)] is not a multiplication rule for multiplying two infinite series, because it does not address how the terms of two series being multiplied are combined to form the product series. Furthermore, it is not the one that is being used in numerical practice. Therefore the insight that the paper provides into why the inverse rule yields correct results at the points of complementary discontinuities is questionable.
© 2002 Optical Society of America
Original Manuscript: January 6, 2001
Revised Manuscript: May 18, 2001
Manuscript Accepted: May 18, 2001
Published: July 1, 2002
Lifeng Li, "Convergence of electromagnetic field components across discontinuous permittivity profiles: comment," J. Opt. Soc. Am. A 19, 1443-1444 (2002)