Anisotropic Turbulence in Position–Position–Velocity Space: Probing Three-dimensional Magnetic Fields

Direct measurements of three-dimensional magnetic fields in the interstellar medium (ISM) are not achievable. However, anisotropic nature magnetohydrodynamic (MHD) turbulence provides a novel way tracing fields. Guided by advanced understanding turbulence's anisotropy Position-Position-Velocity (PPV) space, we extend Structure-Function Analysis (SFA) to measure both field orientation and Alfven Mach number $M_A$, which information on strength. Following theoretical framework developed Kandel et al. (2016), find that given velocity channel is affected inclination angle between 3D direction line-of-sight as well media magnetization. We analyze synthetic PPV cubes generated incompressible compressible MHD simulations. confirm channel's intensity fluctuations measured various position angles reveal plane-of-the-sky orientation. show varying width, anisotropies space can be used simultaneously estimate strength total