|   | 
				
					
	
		  | 
	 
	
		| Paper: | 
		Tools for 3D Solar Magnetic Field Measurement | 
	 
	
		| Volume: | 
		463, 2nd ATST-EAST Workshop in Solar Physics: Magnetic Fields from the Photosphere to the Corona | 
	 
	
		| Page: | 
		193 | 
	 
	
		| Authors: | 
		Casini, R. | 
	 
	
	
		| Abstract: | 
		In this paper we describe some of the challenges that solar physicists 
 face in the application of polarized radiative transfer to the modeling 
 of the emergent radiation from the outer layers of the solar atmosphere, 
 where the plane-parallel approximation breaks down, and 3D atmospheric 
 modeling becomes essential. We review the various plasma conditions 
 occurring in the photosphere, chromosphere, and corona, which determine 
 the different regimes of atomic excitation of these regions. Depending 
 on the relative importance of anisotropic irradiation of the gas over 
 collisional thermalization of the atomic populations, the description of 
 the atomic excitation states may necessitate a full quantum-statistical 
 treatment, which exacerbates the numerical complexity of an already 
 computationally intensive problem. Special emphasis is placed on forward 
 modeling and inversion techniques that mitigate this difficulty, making 
 feasible the interpretation of polarization signals in terms of the 
 magnetic field and its connectivity throughout the solar atmosphere. | 
	 
	
		| 
			
			
		 | 
	 
	
		  | 
	 
 
					 
				 | 
				  |