一世紀前，針對介質中的光子動量究竟為何，引發了 Minkowski 和Abraham 爭議，後續之實驗也未能判決性的解決此一問題。近年來，實驗與理論的進展將此爭議推向一個新的層次，新的實驗將有機會給出確定的答案。本文介紹對應於此爭議之各種光學作用力版本，並探討一束光作用於等向及非等向介電質球之光學力在各版本之差異。計算方法使用了米散射 (Mie scattering)理論及其非等向推廣。預期本論文之結果對於未來之實驗將有一定參考價值。

The Abraham–Minkowski controversy is a debate concerning the photon momentum within dielectric media, which has been lasted for more than one century. The subsequent experiments for testing the theories through the years got mixed results, and could not resolve the problem. Recently, new experimental and theoretical progresses raised this dispute to a new level, and now it seems possible to get a definite result via experiments in the near future. In this thesis we study various optical forces formulas proposed by physicists and their numerical consequences. We compare the optical forces of various proposals about a beam of light acting on an isotropic or anisotropic dielectric sphere. All numerical calculations are based on the Mie scattering theory and its anisotropic generalization. The results obtained in this thesis are expected to have a certain reference value for future experiments.

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