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A new, compact, and exact general expression is developed for the powers ofhybrid EH- and HE-modes of the standard step-index optical fiber. Theexpression is found with the help of the Pauli matrices. The expression isreducible to widely used approximate forms for hybrid mode powers ofweakly-guided fibers.

A New Compact Expression for the Powers of Hybrid Modes of the Step-Index Optical Fiber