A Novel Laser Resonator for Fractal Modes

Sroor, H., Naidoo, D., Courtial, J. and Forbes, A. (2018) A Novel Laser Resonator for Fractal Modes. In: Laser Resonators, Microresonators, and Beam Control XX, San Francisco, CA, USA, 29 Jan - 1 Feb 2018, 105181N. (doi: 10.1117/12.2290958)

Abstract

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.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Courtial, Dr Johannes
• Authors: Sroor, H., Naidoo, D., Courtial, J., and Forbes, A.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• ISSN: 0277-786X
• Copyright Holders: Copyright © 2018 SPIE
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher