Premium
Single‐mode condition of optical fibers with axially symmetric refractive index distribution
Author(s) -
Kokubun Yasuo,
Iga Kenichi
Publication year - 1982
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs017i001p00043
Subject(s) - cutoff , cutoff frequency , mode (computer interface) , refractive index , eigenvalues and eigenvectors , mathematics , physics , boundary value problem , mathematical analysis , optics , quantum mechanics , computer science , operating system
The cutoff condition of HE, EH, TE, and TM modes is formulated in an integral equation by using a Sturm‐Liouville‐type boundary problem. A formula for calculating the cutoff frequencies of the TM 01 and HE 21 modes is derived in addition to the TE 01 cutoff by calculating the eigenvalue of this integral equation. The cutoff frequencies of the TM 01 and HE 21 modes are calculated and compared with those of the TE 01 mode for various index profiles. As a result, the cutoff frequency of the TM 01 mode is dominant for the single‐mode limit over frequencies of the TE 01 , TM 01 , and HE 21 modes for the α‐power law index profile. However, in the case of an index profile including a center dip, the cutoff frequency of the TE 01 mode dominates the single‐mode condition.