We show that an appropriate variable transformation can redistribute the sample points for the field in the collocation method such that the numerical accuracy of the field-propagation algorithm improves significantly. We also present results for some specific transformations that improve the accuracy by more than 2 orders of magnitude.
© 1992 Optical Society of America
Original Manuscript: February 3, 1992
Published: June 1, 1992
Anurag Sharma and Anju Taneja, "Variable-transformed collocation method for field propagation through waveguiding structures," Opt. Lett. 17, 804-806 (1992)