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Nonlinear response of an ultracompact waveguide Fabry-Pérot resonator
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View: Figures


Image of FIG. 1.
FIG. 1.

Schematic depiction of the sample under test and the excitation and detection scheme. A microscope objective (shown on right) couples light into the TFPR and a lensed single mode optical fiber (shown on left), oriented perpendicularly to the angle of excitation, collects the transmitted radiation. A scanning electron micrograph of the L = 7.80 μm TFPR is shown in the inset.

Image of FIG. 2.
FIG. 2.

(a) Top-view image of scattered radiation from the waveguide interfaces following a zig-zag pattern as the mode undergoes total internal reflection at the waveguide interfaces. (b) Time-averaged power distribution in the waveguide obtained by finite-difference time-domain simulations, verifying the multiple total internal reflections as the mode propagates from the input facet to the output. Scale bar is 4 μm for both figures, and the length of the TFPR is L = 31.1 μm.

Image of FIG. 3.
FIG. 3.

(a) Experimental broadband transmission of TFPRs with lengths, L = {19.0, 42.7, 66.4} μm. The corresponding Q-factors are determined to be 340, 888, and 1210, respectively. (b) Comparison between experimental measurements and calculated results obtained using the FDTD method for the L = 7.80 μm TFPR.

Image of FIG. 4.
FIG. 4.

(a) Measured transmission curve for a TFPR, displaying the linear region and the nonlinear loss region. The linear region is extrapolated, and the experimental values are subtracted from this line to obtain the nonlinear loss. (b) Cross-polarized pump-probe traces for a low input power, Pin  = 0.772 mW and a higher input power, Pin  = 3.42 mW.

Image of FIG. 5.
FIG. 5.

(a) Broadband transmission spectrum of the resonator as the femtosecond laser power coupled to the device is increased from Pin  = 0 mW to Pin  = 11.3 mW. The power is increased in increments of ΔP = 1.16 mW, with the exception of the highest power, Pin  = 11.3 mW. (b) Log-log plots relating the input power to the wavelength shift and resonance amplitude attenuation. The wavelength shift has a slope of 2.01, while the attenuation does not show a clean linear trend.

Image of FIG. 6.
FIG. 6.

(a) Broadband transmission spectrum for operating temperatures ranging from 298 K ≤ T ≤ 478 K in steps of ΔT = 20 K, obtained via FDTD simulations. The peak wavelength of the resonance shifts linearly with increasing temperature according to the relation: Δλmax  = 7.26 × 10−2 ΔT [nm]. (b) Temperature distribution for a thermal power of 3 mW distributed uniformly in the TFPR.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonlinear response of an ultracompact waveguide Fabry-Pérot resonator