论文标题

洛伦兹振荡器模型中的非线性

Nonlinearity in the Lorentz Oscillator Model

论文作者

Smith, Brad C.

论文摘要

磁力保留在Lorentz振荡器模型中,并在偶极近似之外得出了扰动溶液。还获得了电偶极子,磁性偶极子和电二极管矩的摄动系列,除了它们的宏观,空间平均的对应物外。 These expressions are shown to describe many optical phenomena: the normal, linear Zeeman, Faraday, and magneto-optic Kerr effects, the linear Stark, Pockels, and Kerr effects (when the restoring force is anharmonic), the momentum and angular momentum of a photon in matter (contributing to the Abraham-Minkowski debate), the photon drag and inverse Faraday effects, and sum-frequency and中心对称培养基中的第二次谐波。通过与实验和更基本理论(例如量子力学)进行比较,可以评估定性和定量准确性。关于Stark和Pockels/Kerr效应之间关系的新见解也出现了。

The magnetic force is retained in the Lorentz Oscillator Model and a perturbation solution is derived beyond the dipole approximation. Perturbation series for the electric dipole, magnetic dipole, and electric quadrupole moments in addition to their macroscopic, spatially-averaged counterparts are also obtained. These expressions are shown to describe many optical phenomena: the normal, linear Zeeman, Faraday, and magneto-optic Kerr effects, the linear Stark, Pockels, and Kerr effects (when the restoring force is anharmonic), the momentum and angular momentum of a photon in matter (contributing to the Abraham-Minkowski debate), the photon drag and inverse Faraday effects, and sum-frequency and second-harmonic generation in centrosymmetric media. The qualitative and quantitative accuracy is assessed by comparison to both experiment and more fundamental theory (e.g. quantum mechanics). New insights into the relationship between the Stark and Pockels/Kerr effects also emerge.

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