“…Many methods for predicting contra-rotating propeller interaction tone noise have used frequency-domain sound radiation formulae. Examples of such analytic or hybrid analytic-numerical noise prediction methods are described in Hanson (1985), Parry (1988), Whitfield, Mani & Gliebe (1990a,b), Carazo, Roger & Omais (2011), , Zachariadis, Hall & Parry (2011), Kingan & Sureshkumar (2014), Grasso et al (2014), Ekoule et al (2015Ekoule et al ( , 2017, Quaglia et al (2016Quaglia et al ( , 2017, Moreau & Roger (2018) and Kingan & Parry (2019a,b). In addition to these, primarily numerical approaches which utilise a frequency-domain sound radiation formulation include the methods described by Peters & Spakovszky (2010), Sharma & Chen (2013) and Envia (2015).…”