Integrated Optics - Applied Optics Fundamentals and Device Applications - page 285

or

) cos
tan

β
θ

⎡
⎢

⎤
⎥

δ = q Γ sin β + ( 1 − Γ

A final parameter of interest is the arc length of the curved segment:

ArcAB = 2 R θ (5.35)

In summary, point B, the start of the curved section, is found by starting at
point C, going a distance R in the - y -direction, and rotating an angle β. The
length of the curve to point A is made by additional rotation of 2θ.

References

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2. Maractili, E. A. 1969. Dielectric waveguide and directional coupler for inte-
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Goell, J. E. 1969. A circular-harmonic computer analysis of rectangular dielectric
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Schlosser, W. and H. G. Unger. 1966. Partially filled waveguides and surface
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5. Marcatili, E. A. 1969. Dielectric waveguide and directional coupler for inte-
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6. Kuznetsov, M. September 1983. Expressions for the coupling coefficient of a
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7. Hutcheson, Lynn. June 1986. Private conversation with author.

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9. Mentzer, M. A., R. G. Hunsperger, J. Bartko, J. M. Zavada, and H. A. Jenkinson.
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