Normalized frequency for noncircular dielectric waveguides

This paper points out that the commonly used normalized frequency for noncircular dielectric waveguides, which is based on the semiminor axis, causes the cross‐sectional area to vary with the cross‐sectional shape. Consequently, the shape effects described with the conventional normalized frequency...

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Bibliographic Details
Published in:Microwave and optical technology letters 2024-04, Vol.66 (4), p.n/a
Main Authors: Teh, Chin Hui, Kumar, Deepak, Thiagarajah, Siva Priya
Format: Article
Language:English
Subjects:
cutoff frequency
dielectric waveguide
Dielectric waveguides
Dielectrics
normalized frequency
optical fiber
Rectangular waveguides
Shape effects
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Summary:This paper points out that the commonly used normalized frequency for noncircular dielectric waveguides, which is based on the semiminor axis, causes the cross‐sectional area to vary with the cross‐sectional shape. Consequently, the shape effects described with the conventional normalized frequency are not due to the shape alone but the combined effects of the shape and area. Our numerical results show that the area effect is greater than the shape effect. An improved definition of normalized frequency based on an equivalent radius is proposed in this paper. Conversion formulas to convert from the conventional normalized frequency to the proposed normalized frequency are provided for elliptical and rectangular waveguides. Our numerical results show that the shape effects described by the proposed normalized frequency are free from the area effect. Consequently, the proposed normalized frequency is more accurate than the conventional normalized frequency in describing the shape effect of noncircular dielectric waveguides.
ISSN:0895-2477
1098-2760
DOI:10.1002/mop.34136