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Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction.

• R. P. Ratowsky, J. A. Fleck
• Optics letters
• 1991

The Lanczos recursion algorithm is used to determine forward-propagating solutions for both the paraxial and Helmholtz wave equations for longitudinally invariant refractive indices. By eigenvalue… (More)

Laser diode to single-mode fiber ball lens coupling efficiency: full-wave calculation and measurements.

• R. P. Ratowsky, L. Yang, R. J. Deri, K. W. Chang, J. S. Kallman, G. Trott
• Applied optics
• 1997

We show that the coupling efficiency from a laser diode (LD) to an optical fiber through a ball lens can be calculated accurately using the exact solution to Maxwell's equations for the scattering of… (More)

Ball lens reflections by direct solution of Maxwell's equations.

• R. P. Ratowsky, L. Yang, R. J. Deri, J. S. Kallman, G. Trott
• Optics letters
• 1995

We calculate ball lens reflections, using the exact solution of Maxwell's equations for the scattering of a beam from a dielectric sphere. Our results are consistent to within 1 dB with measurements… (More)

Propagation modeling for multimode photonics

• R. P. Ratowsky, Bedros B. Afeyan, J. S. Kallman, M. D. Feit
• 2000

While ray optics is a valid model for many multimode optical systems, it cannot capture diffraction and interference phenomena which may be required, for example, in calculating speckle propagation… (More)

Accurate solution of the Helmholtz equation by Lanczos orthogonalization for media with loss or gain.

• R. P. Ratowsky, J. A. Fleck, M. D. Feit
• Optics letters
• 1992

The numerical scheme for solving the Helmholtz equation, based on the Lanczos orthogonalization scheme, is generalized so that it can be applied to media with space-dependent absorption or gain… (More)

Accurate description of ultrawide-angle beam propagation in homogeneous media by Lanczos orthogonalization.

• R. P. Ratowsky, J. A. Fleck, M. D. Feit
• Optics letters
• 1994

We demonstrate accurate modeling of ultrawide-angle beam propagation in homogeneous media by Lanczos orthogonalization for acceptable longitudinal step sizes. Accuracy is determined by comparison… (More)

Helmholtz beam propagation in rib waveguides and couplers by iterative Lanczos reduction

• R. P. Ratowsky, J. A. Fleck, M. D. Feit, Lawrence Livermore
• 2002

The solution of the Helmholtz equation requires the application of an exponentiated square root operator to an initial field. This operation is greatly facilitated by the introduction of a… (More)

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