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This paper introduces the twisted coordinate system and presents theoretical investigations of the existence of EM fields whose polarization plane rotates helically. First, concrete expressions for vector operations are derived and the vector wave equations in homogeneous and isotropic media are given in terms of covariant and contravariant components. Then the EM wave whose polarization plane rotates with the coordinate axis is investigated. The results show that propagating rotating polarized wave fields do not exist if the electric field has only a single twisted coordinate component and that the TEM wave exists only as circular‐polarized plane wave fields. By combining two circular‐polarized waves propagating in opposite directions, parallel electric and magnetic fields exist. The Hertz vectors suitable for this type of coordinate are derived and general equations for TE and TM mode EM fields are obtained.
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Yabe et al. (1981) studied this question.
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