TY - JOUR
T1 - The role of angular momentum in the construction of electromagnetic multipolar fields
AU - Tischler, Nora
AU - Zambrana-Puyalto, Xavier
AU - Molina-Terriza, Gabriel
PY - 2012/9
Y1 - 2012/9
N2 - Multipolar solutions of Maxwells equations are used in many practical applications and are essential for the understanding of light-matter interactions at the fundamental level. Unlike the set of plane wave solutions of electromagnetic fields, the multipolar solutions do not share a standard derivation or notation. As a result, expressions originating from different derivations can be difficult to compare. Some of the derivations of the multipolar solutions do not explicitly show their relation to the angular momentum operators, thus hiding important properties of these solutions. In this paper, the relation between two of the most common derivations of this set of solutions is explicitly shown and their relation to the angular momentum operators is exposed.
AB - Multipolar solutions of Maxwells equations are used in many practical applications and are essential for the understanding of light-matter interactions at the fundamental level. Unlike the set of plane wave solutions of electromagnetic fields, the multipolar solutions do not share a standard derivation or notation. As a result, expressions originating from different derivations can be difficult to compare. Some of the derivations of the multipolar solutions do not explicitly show their relation to the angular momentum operators, thus hiding important properties of these solutions. In this paper, the relation between two of the most common derivations of this set of solutions is explicitly shown and their relation to the angular momentum operators is exposed.
UR - http://www.scopus.com/inward/record.url?scp=84863856014&partnerID=8YFLogxK
U2 - 10.1088/0143-0807/33/5/1099
DO - 10.1088/0143-0807/33/5/1099
M3 - Review article
VL - 33
SP - 1099
EP - 1109
JO - European Journal of Physics
JF - European Journal of Physics
SN - 0143-0807
IS - 5
ER -