The angular dispersion function method (hereafter the ADF method; Falceta-Gonçalves et al. 2008; Hildebrand et al. 2009; Houde et al. 2009, 2016) analytically accounts for various of effects that may affect the measured angular dispersion. Based on different effects considered, the ADF methods can be divided into the structure function method (hereafter the Hil09 method; Hildebrand et al. 2009), the autocorrelation function method for single-dish observations (hereafter the Hou09 method; Houde et al. 2009), and the autocorrelation function method for interferometer observations (hereafter the Hou16 method; Houde et al. 2016). Similarly, we adopt the correction factors in Liu et al. (2021) for strong field models. For the Hil09 method, the corrected plane-of-sky uniform magnetic field strength is estimated as
6



Bposu,Hil09,est∼0.1μ0ρδvlos〈Bt2〉〈B02〉−12Hil09

and the corrected plane-of-sky total magnetic field strength is estimated as
7



Bpostot,Hil09,est∼0.21μ0ρδvlos〈Bt2〉〈B2〉−12Hil09,

where 



((〈Bt2〉/〈B02〉)0.5)Hil09

 is the turbulent-to-ordered field strength ratio and 



((〈Bt2〉/〈B2〉)0.5)Hil09

 is the turbulent-to-total field strength ratio derived from this method. We do not calculate 



Bposu,Hil09,est

 if 



((〈Bt2〉/〈B02〉)0.5)Hil09>0.1

 (Liu et al. 2021). For the Hou09 and Hou16 methods, the corrected plane-of-sky uniform magnetic field strength is estimated as
8



Bposu,Hou,est∼0.19μ0ρδvlos〈Bt2〉〈B02〉−12Hou

and the corrected plane-of-sky total magnetic field strength is estimated as
9



Bpostot,Hou,est∼0.39μ0ρδvlos〈Bt2〉〈B2〉−12Hou,

where 



((〈Bt2〉/〈B02〉)0.5)Hou

 is the turbulent-to-ordered field strength ratio and 



((〈Bt2〉/〈B2〉)0.5)Hou

 is the turbulent-to-total field strength ratio derived from the two methods. Due to the limitation that the angular dispersion cannot exceed the value expected for a random field, the maximum derivable turbulent-to-ordered field strength ratio from the ADF methods is 0.76 (Liu et al. 2021). Thus, if the derived 



((〈Bt2〉/〈B02〉)0.5)Hou

 is greater than 0.76, the assumptions underlying the ADF methods on accounting for the line-of-sight signal integration may not be valid, which could lead to overestimation of the turbulent-to-ordered field strength ratio and underestimation of the field strength. In this situation, we adopt the turbulent-to-ordered field strength ratio 



((〈Bt2〉/〈B02〉)0.5)nosiHou

 and the turbulent-to-total field strength ratio 



((〈Bt2〉/〈B2〉)0.5)nosiHou

 without accounting for the line-of-sight signal integration and apply the same correction factors as those for the Hil09 method. Then the corrected plane-of-sky uniform magnetic field strength is estimated as
10



Bposu,Hou,est∼0.1μ0ρδvlos(〈Bt2〉〈B02〉−12)nosiHou

and the corrected plane-of-sky total magnetic field strength is estimated as
11



Bpostot,Hou,est∼0.21μ0ρδvlos(〈Bt2〉〈B2〉−12)nosiHou,

where 



((〈Bt2〉/〈B02〉)0.5)nosiHou=((〈Bt2〉/〈B02〉)0.5)Hou/Nadf

. N
adf is the number of turbulent fluid elements along the line of sight. Similarly, we do not calculate 



Bposu,Hou,est

 if 



((〈Bt2〉/〈B02〉)0.5)nosiHou>0.1

 (Liu et al. 2021).
Citation: Liu et al. (2021)
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Citation: Liu et al. 2021
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Citation: Liu et al. 2021
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Citation: Liu et al. 2021
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