Tien effect observed
The researchers discovered a side-benefit in this profiling of light propagation—they believe that the modulation pattern reveals an until-now unobserved small undulation of the light beam inside the waveguide, a phenomenon predicted by P. K. Tien in 1965.1,2 The Tien effect is caused by the balance between the converging effect of the index gradient in waveguides and the diverging effect of diffraction. The resulting phenomenon is of small longitudinal modulations of the center and radius of the light beam, especially pronounced in small guides.
This effect has been used by the researchers to enhance how the light path in complex devices was visualized and how the variation in light intensity along the path was monitored. The Tien effect was usually intentionally suppressed in the course of obtaining the mode profile and the variation of the average light intensity along the propagation path. But, because it appeared perpendicular to the propagation axis, the Tien effect proved useful in sections of devices where that axis was not clearly known, serving as a marker that visualizes the propagation.
Given that conventional far-field techniques no longer have the necessary spatial resolution, the ability to analyze optical semiconductor devices in this manner should prove increasingly important as devices continue to shrink in size and increase in integration.
REFERENCES
1. P. K. Tien, J. P. Gordon, and J. R. Whinnery, Proc. IEEE 53, 129 (1965).
2. P. K. Tien, Rev. Mod. Phys. 49, 361 (1977).