Gauge invariance beyond the electric dipole approximation
Gauge invariance beyond the electric dipole approximation
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DOI:
10.1103/physreva.98.063410
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发表时间:
2018-06
影响因子:
2.9
通讯作者:
Ryoji Anzaki;Y. Shinohara;Takeshi Sato;K. Ishikawa
中科院分区:
文献类型:
--
作者:
Ryoji Anzaki;Y. Shinohara;Takeshi Sato;K. Ishikawa
We study the gauge invariance of laser-matter interaction. The velocity gauge where the vector potential is expanded to the $n$-th order with respect to the spatial coordinate, and the length gauge where the electric and magnetic fields are expanded to the $n$-th and $(n-1)$-th orders, respectively, are mutually gauge-transformed, describing the physically equivalent situation. The latter includes up to the electric $2^{n+1}$-pole and magnetic $2^n$-pole interactions as well as two extra terms. The finding serves to develop consistent nonperturbative simulation methods beyond the electric dipole approximation.