Litvin, IAForbes, A2007-07-172007-07-172005Litvin, IA and Forbes, A. 2005. Effective and efficient method of calculating Bessel beam fields. Proceedings of SPIE, vol. 58760277-786Xhttp://hdl.handle.net/10204/1003http://spiedl.aip.org/Bessel beams have gathered much interest of late due to their properties of near diffraction free propagation and self reconstruction after obstacles. Such laser beams have already found applications in fields such as optical tweezers and as pump beams for SRS applications. However, to model the self reconstruction property of Bessel beams, it is necessary to calculate the field at all points in space before and after the obstacle – a computationally intensive task give the large spatial distribution of Bessel beams. In this work we propose a computationally efficient method of calculating the arbitrary propagation of a Bessel beam, which is both fast and accurate. This method is based on transforming the problem to a new co-ordinate system more in line with the conical nature of the wavefronts, and shows excellent agreement with more traditional methods of calculation based on the Kirchoff-Fresnel diffraction theory in cylindrical co-ordinates. The success of the method is shown for the case of Bessel beams and Bessel-Gauss fields passing through non-transparent obstacles, as well as the case of these fields propagating through a scattering medium.enBessel beamsScattering mediaConical wavefrontsDiffractionBeam propagationArticleLitvin, I., & Forbes, A. (2005). Effective and efficient method of calculating Bessel beam fields. http://hdl.handle.net/10204/1003Litvin, IA, and A Forbes "Effective and efficient method of calculating Bessel beam fields." (2005) http://hdl.handle.net/10204/1003Litvin I, Forbes A. Effective and efficient method of calculating Bessel beam fields. 2005; http://hdl.handle.net/10204/1003.TY - Article AU - Litvin, IA AU - Forbes, A AB - Bessel beams have gathered much interest of late due to their properties of near diffraction free propagation and self reconstruction after obstacles. Such laser beams have already found applications in fields such as optical tweezers and as pump beams for SRS applications. However, to model the self reconstruction property of Bessel beams, it is necessary to calculate the field at all points in space before and after the obstacle – a computationally intensive task give the large spatial distribution of Bessel beams. In this work we propose a computationally efficient method of calculating the arbitrary propagation of a Bessel beam, which is both fast and accurate. This method is based on transforming the problem to a new co-ordinate system more in line with the conical nature of the wavefronts, and shows excellent agreement with more traditional methods of calculation based on the Kirchoff-Fresnel diffraction theory in cylindrical co-ordinates. The success of the method is shown for the case of Bessel beams and Bessel-Gauss fields passing through non-transparent obstacles, as well as the case of these fields propagating through a scattering medium. DA - 2005 DB - ResearchSpace DP - CSIR KW - Bessel beams KW - Scattering media KW - Conical wavefronts KW - Diffraction KW - Beam propagation LK - https://researchspace.csir.co.za PY - 2005 SM - 0277-786X T1 - Effective and efficient method of calculating Bessel beam fields TI - Effective and efficient method of calculating Bessel beam fields UR - http://hdl.handle.net/10204/1003 ER -