1969
DOI: 10.1002/j.1538-7305.1969.tb01169.x
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Improved Relations Describing Directional Control in Electromagnetic Wave Guidance

Abstract: The direction‐changing capability of electromagnetic waveguides may be limited not only by mode conversion but also by radiation if the transverse field extends indefinitely into a freely propagating region. This paper gives new, more accurate expressions for the permitted bending radius with respect to mode conversion, using coupled‐wave theory to categorize the wide variety of transmission media possible. This paper also makes a suggestion for estimating the permitted bending radius when radiation is a limit… Show more

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Cited by 105 publications
(30 citation statements)
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“…This might be due to the fact that in the TMM approach, it is rather difficult to take care of all kind of losses, whereas in the FDTD method, losses are taken care during the simulation. Accurate numerical methods can help to evaluate precise coupling coefficients and losses in such MRR structures which have been used for the conventional MRR [32]- [34]. To achieve higher refractive index n eff2 of the inner ring, one should use a material with higher refractive index than that of the outermost ring.…”
Section: Theory Of Off-axis Microring Resonatormentioning
confidence: 99%
“…This might be due to the fact that in the TMM approach, it is rather difficult to take care of all kind of losses, whereas in the FDTD method, losses are taken care during the simulation. Accurate numerical methods can help to evaluate precise coupling coefficients and losses in such MRR structures which have been used for the conventional MRR [32]- [34]. To achieve higher refractive index n eff2 of the inner ring, one should use a material with higher refractive index than that of the outermost ring.…”
Section: Theory Of Off-axis Microring Resonatormentioning
confidence: 99%
“…Power will gradually attenuate when light propagates through a bent waveguide. The pure bending loss of a circular waveguide is firstly derived by Marcatili and Miller: ( 1) where C 1 and C 2 are two constants depending on the waveguide structure and on the shape of optical mode [7,8], and R is the curvature radius. The transition loss is induced by a mode mismatch of a connection of two waveguides with different curvature radii.…”
Section: Insertion Loss Analysis Of S-shaped Bendsmentioning
confidence: 99%
“…Bend-loss: In our octilinear grid, bends can be either 90 • or 135 • , having different loss characteristics. Bend-loss is computed for each using Eqn.1 [39] as a function of radius of curvature:…”
Section: Table Imentioning
confidence: 99%