PMID- 34613136 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20211007 IS - 1520-8532 (Electronic) IS - 1084-7529 (Linking) VI - 38 IP - 9 DP - 2021 Sep 1 TI - Modeling circulating cavity fields using the discrete linear canonical transform. PG - 1293-1303 LID - 10.1364/JOSAA.433575 [doi] AB - Fabry-Perot cavities are central to many optical measurement systems. In high-precision experiments, such as aLIGO and AdVirgo, coupled cavities are often required, leading to complex optical behavior. We show, for the first time to our knowledge, that discrete linear canonical transforms (LCTs) can be used to compute circulating optical fields for cavities in which the optics have arbitrary apertures, reflectance and transmittance profiles, and shape. We compare the predictions of LCT models with those of alternative methods. To further highlight the utility of the LCT, we present a case study of point absorbers on the aLIGO mirrors and compare it with recently published results. FAU - Ciobanu, A A AU - Ciobanu AA FAU - Brown, D D AU - Brown DD FAU - Veitch, P J AU - Veitch PJ FAU - Ottaway, D J AU - Ottaway DJ LA - eng PT - Journal Article PL - United States TA - J Opt Soc Am A Opt Image Sci Vis JT - Journal of the Optical Society of America. A, Optics, image science, and vision JID - 9800943 SB - IM EDAT- 2021/10/07 06:00 MHDA- 2021/10/07 06:01 CRDT- 2021/10/06 12:25 PHST- 2021/10/06 12:25 [entrez] PHST- 2021/10/07 06:00 [pubmed] PHST- 2021/10/07 06:01 [medline] AID - 457274 [pii] AID - 10.1364/JOSAA.433575 [doi] PST - ppublish SO - J Opt Soc Am A Opt Image Sci Vis. 2021 Sep 1;38(9):1293-1303. doi: 10.1364/JOSAA.433575.