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Progress In Electromagnetics Research B
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ANALYTICAL COMPUTATION OF THE ELECTROMAGNETIC FIELD PRODUCED BY AN OPTICAL FIBER HELIX

By I. D. Chremmos

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Abstract:
A completely analytical computation of the electromagnetic field produced by an optical fiber helix is presented for the first time. The analysis utilizes the transformation of radially traveling cylindrical waves between two skew cylindrical coordinates systems, that has been previously derived by the author, in order to express the waves radiated by each infinitesimal part of the helix in terms of cylindrical waves around the helix axis and be able to integrate the contributions analytically. Under certain realistic geometrical assumptions, an unperturbed propagation of a single fiber mode is assumed to account for the infinite fiber length, leading to elegant final series expressions in terms of mixed angular-axial Hartree space harmonics, which show clearly the effect of the helical geometry on the field distribution. Analytical formulas are obtained for the field inside and outside the helix cylinder and an interesting two-term decomposition of the outward radiated field is concluded.

Citation:
I. D. Chremmos, "Analytical Computation of the Electromagnetic Field Produced by an Optical Fiber Helix," Progress In Electromagnetics Research B, Vol. 16, 189-207, 2009.
doi:10.2528/PIERB09050503

References:
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