Use of Higher Order Padé Approximants for Efficient Simulation of Wide-Angle Waveguides with Step-Index Profile

1996 ◽  
Author(s):  
Igor Ilić ◽  
Robert Scarmozzino ◽  
Richard M. Osgood
Keyword(s):  
Padé Approximants ◽  
Higher Order ◽  
Wide Angle ◽  
Index Profile ◽  
Pade Approximants ◽  
Step Index ◽  
Efficient Simulation

Wide-angle solution of nonlinear coupled wave equations based on Padé approximants

2003 ◽  
Vol 38 (2) ◽  
pp. 108-113
Author(s):  
Reinaldo S. Flamino ◽  
Licinius D. S. Alcantara ◽  
Amílcar C. César ◽  
Ben-Hur V. Borges
Keyword(s):  
Wave Equations ◽  
Padé Approximants ◽  
Wide Angle ◽  
Pade Approximants ◽  
Coupled Wave Equations ◽  
Coupled Wave

Partial differential approximants for multivariable power series. II. Invariance properties

1983 ◽  
Vol 388 (1794) ◽  
pp. 75-102 ◽  
Keyword(s):  
Power Series ◽  
Padé Approximants ◽  
Higher Order ◽  
Rotational Invariance ◽  
Linear Transformations ◽  
Partial Differential ◽  
Original Series ◽  
Pade Approximants ◽  
Invariance Properties ◽  
Change Of Variables

The invariance properties of partial differential approximants for power series in two (or more) variables are investigated. Certain classes of approximants are shown to exhibit desirable properties such as : ( a ) Eulerian invariance under the change of variables x => ̅x = Ax /(1+ Bx ) and/or y => ̅y = Cy / (1+ Dy ); ( b ) ‘rotational’ invariance under homo­geneous linear transformations of x and y ; ( c ) covariance under exponentiation of the original series. Similar results are demonstrated for constrained, multipoint, and higher order differential approximants. Specializing to functions of one variable provides extensions of known invariance properties of ordinary Padé approximants and inhomogeneous differential approximants.

Sign in / Sign up

Export Citation Format

Share Document