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We present the theoretical approach to study the unconventional Josephsonjunction (uJJ) made by putting the non-superconduncting strip on the top ofsuperconducting strip. We work in the framework of the Ginzburg-Landau,Bogoliubov de Gennes and Usadel formalisms. We solve the non-linear paritaldifferential equations numerically for few simple cases. We obtaine theeigenenergies of the uJJ by means of combined GL and BdGe method. cases. Wepredict the occurence of the physical effect, which we call the topologicalMeissner effect. Basing on the obtained results and current knowledge onJosephson junctions we point the future perspectives of the research on uJJs.

Towards 4 formalisms description of properties of the unconventional  Josephson junction and unconventional SQUIDs made by putting  non-superconducting strip on the top of superconducting strip