Robust method for finding the modes in a fibre with an unknown refractive index profile

0559492 - ÚPT 2023 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Škvarenina, Ľubomír - Traegaardh, Johanna - Simpson, Stephen Hugh
Robust method for finding the modes in a fibre with an unknown refractive index profile.
Micro-Structured and Specialty Optical Fibres VII. Bellingham: SPIE, 2022 - (Kalli, K.; Peterka, P.; Bunge, C.), (2022), č. článku 121400M. Proceedings of SPIE, 12140. ISBN 978-151065156-2.
[Micro-Structured and Specialty Optical Fibres /7./. online (FR), 09.05.2022-20.05.2022]
Grant CEP: GA MŠMT EF15_003/0000476
GRANT EU: European Commission(XE) 829116 - Super-Pixels
Institucionální podpora: RVO:68081731
Klíčová slova: singular value decomposition * orbital angular momentum * coupling strengths * fibre modes
Obor OECD: Optics (including laser optics and quantum optics)
https://www.spiedigitallibrary.org/conference-proceedings-of-spie/12140/121400M/Robust-method-for-finding-the-modes-in-a-fibre-with/10.1117/12.2632808.short

The number of eigenmodes in an optical fibre depends on the wavelength of the excitation laser beam as well as on the exact geometry and refractive index profile of the fibre. The latter is often proprietary information and, when available, is only specified to within manufacturing tolerances. We here present a method for obtaining the number of fibre modes, as well as their shape, which requires no knowledge about the fibre, save a very approximate core radius. The method is based on the singular value decomposition (SVD) of a set of speckle patterns, measured at the output end of the fiber, which is then expanded onto a set of orthonormal basis functions. We present two possible approaches for the field expansion, where the first approach uses a generic orthonormal basis, such as Laguerre-Gaussian or Zernike functions, and the second one is a basis-free approach where the set of speckled patterns themselves form the basis. Using a set of simulated speckles patterns, we observed that the correct number of fibre modes can be obtained through the SVD decomposition, even at high levels of additive random noise. With a slight extension, using speckle patterns obtained at multiple excitation wavelengths (or equivalently, for different lengths of the same fiber) the method can also retrieve the shape of the actual fibre modes, by forming an appropriate linear combination of SVD modes.
Trvalý link: https://hdl.handle.net/11104/0332827