Propagation of 3D beams using a finite-difference algorithm: practical considerations

Alan H. Paxton

doi:10.1117/12.847942

17 February 2010 Propagation of 3D beams using a finite-difference algorithm: practical considerations

Alan H. Paxton

Proceedings Volume 7579, Laser Resonators and Beam Control XII; 757909 (2010) https://doi.org/10.1117/12.847942
Event: SPIE LASE, 2010, San Francisco, California, United States

Abstract

We discuss practical aspects of the use of the finite-difference alternating-direction implicit (ADI) algorithm for the free-space propagation of light beams. Results of calculations solving the finite-difference equations are compared with fresnel-integral solutions. Calculations are for round beams, but the field is represented in cartesian coordinates. Modes for empty unstable resonators are also obtained using the finite-difference algorithm and are compared with fresnel-integral solutions.

Citation Download Citation

Alan H. Paxton "Propagation of 3D beams using a finite-difference algorithm: practical considerations", Proc. SPIE 7579, Laser Resonators and Beam Control XII, 757909 (17 February 2010); https://doi.org/10.1117/12.847942

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