TY - JOUR
T1 - Constraining validity of the Minkowski energy-momentum tensor
AU - Pfeifer, Robert N. C.
AU - Nieminen, Timo A.
AU - Heckenberg, Norman R.
AU - Rubinsztein-Dunlop, Halina
N1 - Erratum can be found in Physical Review A - Atomic, Molecular, and Optical Physics, Volume 79(2), 029903(E), http://dx.doi.org/10.1103/PhysRevA.79.029903
PY - 2009/2/2
Y1 - 2009/2/2
N2 - There exist two popular energy-momentum tensors for an electromagnetic wave in a dielectric medium. The Abraham expression is robust to experimental verification but more mathematically demanding, while the Minkowski expression is the foundation of a number of simplifications commonly found within the literature, including the relative refractive index transformation often used in modeling optical tweezers. These simplifications are based on neglecting the Minkowski tensor's material counterpart, a process known to be incompatible with conservation of angular momentum, and in conflict with experimental results, yet they are very successful in a wide range of circumstances. This paper combines existing constraints on their usage with recent theoretical analysis to obtain a list of conditions that must be satisfied to safely use the simplified Minkowski approach. Applying these conditions to an experiment proposed by Padgett, we find their prediction in agreement with that obtained using the total energy-momentum tensor.
AB - There exist two popular energy-momentum tensors for an electromagnetic wave in a dielectric medium. The Abraham expression is robust to experimental verification but more mathematically demanding, while the Minkowski expression is the foundation of a number of simplifications commonly found within the literature, including the relative refractive index transformation often used in modeling optical tweezers. These simplifications are based on neglecting the Minkowski tensor's material counterpart, a process known to be incompatible with conservation of angular momentum, and in conflict with experimental results, yet they are very successful in a wide range of circumstances. This paper combines existing constraints on their usage with recent theoretical analysis to obtain a list of conditions that must be satisfied to safely use the simplified Minkowski approach. Applying these conditions to an experiment proposed by Padgett, we find their prediction in agreement with that obtained using the total energy-momentum tensor.
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U2 - 10.1103/PhysRevA.79.023813
DO - 10.1103/PhysRevA.79.023813
M3 - Article
AN - SCOPUS:61649107491
SN - 1050-2947
VL - 79
SP - 1
EP - 7
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 2
M1 - 023813
ER -