Sroor, HNaidoo, DarrylCourtial, JForbes, A2018-11-302018-11-302018-02Sroor, H., Naidoo, D., Courtial, J. and Forbes, A. 2018. A novel laser resonator for fractal modes. In: Proceedings of SPIE Volume 10518: Laser Resonators, Microresonators, and Beam Control XX, 27 January - 1 February 2018978-1-51061521-2978-1-51061522-9https://www.spiedigitallibrary.org/conference-proceedings-of-SPIE/10518.tochttp://hdl.handle.net/10204/10564Presented at: Proceedings of SPIE Volume 10518: Laser Resonators, Microresonators, and Beam Control XX, 27 January - 1 February 2018. Due to copyright restrictions, the attached PDF file only contains the abstract of the full text item. For access to the full text item, please consult the publisher's website. While waiting for the post print or published PDF document from the publisherMathematical self-similar fractals manifest identical replicated patterns at every scale. Recently, fractals have found their way into a myriad of applications. In optics, it has been shown that manipulation of unstable resonator parameters such as cavity length, curvatures of mirrors, the design of aperture and its transverse position can reveal self-similar fractal patterns in the resonators eigenmodes. Here, we present a novel laser resonator that can generate self-similar fractal output modes. This resonator has a special plane termed self-conjugate, during each round trip inside the cavity, is imaged upon itself with either a magnification or demagnification depending on the direction of beam propagation inside the cavity. By imaging an aperture placed in the self-conjugate plane inside the cavity, we qualitatively show the fractal behaviour occurring at various scales which, are given by powers of the magnification at the self-conjugate plane. We computed the fractal dimension of the patterns we generated and obtained non-integer values, as is expected for fractals.enLaser resonatorFractalFrensel numberDiffraction limitsUnstable resonatorConference PresentationSroor, H., Naidoo, D., Courtial, J., & Forbes, A. (2018). A novel laser resonator for fractal modes. SPIE. http://hdl.handle.net/10204/10564Sroor, H, Darryl Naidoo, J Courtial, and A Forbes. "A novel laser resonator for fractal modes." (2018): http://hdl.handle.net/10204/10564Sroor H, Naidoo D, Courtial J, Forbes A, A novel laser resonator for fractal modes; SPIE; 2018. http://hdl.handle.net/10204/10564 .TY - Conference Presentation AU - Sroor, H AU - Naidoo, Darryl AU - Courtial, J AU - Forbes, A AB - Mathematical self-similar fractals manifest identical replicated patterns at every scale. Recently, fractals have found their way into a myriad of applications. In optics, it has been shown that manipulation of unstable resonator parameters such as cavity length, curvatures of mirrors, the design of aperture and its transverse position can reveal self-similar fractal patterns in the resonators eigenmodes. Here, we present a novel laser resonator that can generate self-similar fractal output modes. This resonator has a special plane termed self-conjugate, during each round trip inside the cavity, is imaged upon itself with either a magnification or demagnification depending on the direction of beam propagation inside the cavity. By imaging an aperture placed in the self-conjugate plane inside the cavity, we qualitatively show the fractal behaviour occurring at various scales which, are given by powers of the magnification at the self-conjugate plane. We computed the fractal dimension of the patterns we generated and obtained non-integer values, as is expected for fractals. DA - 2018-02 DB - ResearchSpace DP - CSIR KW - Laser resonator KW - Fractal KW - Frensel number KW - Diffraction limits KW - Unstable resonator LK - https://researchspace.csir.co.za PY - 2018 SM - 978-1-51061521-2 SM - 978-1-51061522-9 T1 - A novel laser resonator for fractal modes TI - A novel laser resonator for fractal modes UR - http://hdl.handle.net/10204/10564 ER -