Stokes theorem for fields with discontinuity surfaces
Abstract
An expression of the Stokes theorem valid in the presence of discontinuity surfaces spanned by macroscopic EM field vectors is derived. The requirement of continuity for first derivatives of components of the field vector on the contour separating two regions is relaxed. The modification of the Stokes theorem is recommended for studies of EM fields, and for readily determining conditions governing tangential components of the electric field intensity vector and magnetic field intensity vector when dealing with Maxwell field equations in integral form.
 Publication:

Alta Frequenza
 Pub Date:
 March 1977
 Bibcode:
 1977AlFr...46..164R
 Keywords:

 Electromagnetic Fields;
 Field Strength;
 Field Theory (Physics);
 Stokes Theorem (Vector Calculus);
 Discontinuity;
 Electric Field Strength;
 High Frequencies;
 Magnetic Flux;
 Maxwell Equation;
 Physics (General)