本研究延續蔡幀宇 (2025) 對廣義不完美界面跳躍條件所推導之等效熱傳導係數與熱中性條件之討論，並將此數學架構引入暫態熱傳導系統之中，建立暫態情況下同時允許溫度與法向熱通量跳躍之完整與簡化型界面跳躍條件。其次，針對穩態具廣義不完美界面之兩相圓柱與圓球模型，本文不同蔡幀宇 (2025) 之推導，改以簡化型界面跳躍條件推導等效熱傳導係數；以完整型界面跳躍條件重新推導複合圓柱組合與複合球組合之熱中性條件，並將所得結果與蔡幀宇 (2025) 進行比較，發現兩者於主要階次上具一致性，僅在含厚度參數之高階項上有所差異，驗證了兩者之相容性與完整型條件之精確性。
最後，本文將穩態熱中性理論拓展至暫態情況，基於準靜態近似假設，並引入散射消除技術，確立單極子與偶極子兩個低階散射模態為影響背景溫度場之主要因素，藉由消除此二模態，導出具廣義不完美界面之暫態弱隱形條件，並透過數值驗證，量化弱隱形設計對散射強度之抑制效果與其有效適用範圍，為未來熱超材料與熱隱形斗篷之工程設計，提供更貼近真實物理現象之理論依據與量化參考。

This study extends the work of Tsai (2025) on the general imperfect interface, applying its jump conditions to derive effective thermal conductivity and thermal neutrality conditions, and introduces this framework into transient heat conduction systems, establishing complete and simplified interface jump conditions that allow simultaneous temperature and normal heat flux discontinuities.
For steady-state two-phase cylindrical and spherical models with a general imperfect interface, this thesis takes the opposite approach to Tsai (2025): deriving effective thermal conductivity using the simplified conditions, and re-deriving the thermal neutrality conditions of the composite cylinder assemblage (CCA) and composite sphere assemblage (CSA) using the complete conditions. Comparison with Tsai (2025) shows high consistency at leading order, differing only in higher-order thickness terms, confirming the compatibility and accuracy of both approaches.
Finally, the steady-state theory is extended to the transient regime. Using the quasi-static approximation and the Scattering Cancellation Technique (SCT), the monopole and dipole modes are identified as the dominant low-order scattering modes affecting the background temperature field. Eliminating these modes yields transient weak invisibility conditions for composites with a general imperfect interface. Numerical results quantify the suppression effect and effective range of the weak invisibility design, offering a theoretical basis for future thermal metamaterial and cloak design.

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