Optimized optical resonator device for sensing applications
An optical resonator is configured for optimized performance as a sensor by maximizing the slope and/or sharpness of the resonance peak, instead of maximizing the Q-factor of the resonator. These characteristics of the resonance peak are controlled, in accordance with the present invention, by modifying the physical parameters of the resonator structure (e.g., dimensions, spacing between waveguides, ring diameter, materials and associated refractive indices, etc.) until the desired peak attributes are achieved, regardless of the Q-factor associated with these optimum attributes.
1. A resonant optical sensor comprising
an input waveguide, for receiving an optical sensing signal at a wavelength λ;
a resonating optical device coupled to the output of the input waveguide for allowing the optical sensing signal to propagate therethrough and creating a resonant spectrum as a function of the ambient medium of the sensor, with a coupling coefficient between the input waveguide and the resonating optical device defined as γ (in) , the resonating optical device exhibiting a fixed, intrinsic loss γ and associated intrinsic Q-factor Q int ; and
an output wave guide coupled to the output of the resonating optical device for receiving the resonant transmission spectrum, with a coupling coefficient between the output waveguide and the resonating optical device defined as γ (out) , the resonant optical sensor being optimized with respect to sensitivity in measuring changes in the ambient medium by adjusting one or more variable parameters from a predefined set of variable parameters to create a resonant spectrum output signal having a maximum slope and/or sharpest peak, regardless of Q-factor.
2. A resonant optical sensor as defined in claim 1 wherein the set of variable parameters includes: the geometries of the input waveguide, the resonating optical device and the output waveguide; the spacings and physical couplings therebetween; refractive index values of the input waveguide, the resonating optical device, the output waveguide and the areas therebetween.
3. A resonant optical sensor as defined in claim 1 wherein the sensor exhibits a maximum slope in its associated spectra by modifying its coupling coefficients and eigenvalues in association with the following relation:
S
max
=
max
λ
,
γ
(
in
)
,
γ
(
out
)
(
ⅆ
P
(
λ
,
γ
(
in
)
,
γ
(
out
)
)
ⅆ
λ
)
.
4. A resonant optical sensor as defined in claim 1 wherein the sensor exhibits a maximally sharp peak in its associated spectra by modifying its coupling coefficients and eigenvalues in association with the following relation:
Θ
max
=
max
λ
,
γ
(
in
)
,
γ
(
out
)
(
ⅆ
2
P
(
λ
,
γ
(
in
)
,
γ
(
out
)
)
ⅆ
λ
2
)
.
5. A resonant optical sensor as defined in claim 1 wherein the resonating optical device exhibits a single resonance peak.
6. A resonant optical sensor as defined in claim 5 wherein the sharpest, single resonance peak in the transmission spectrum is associated with a Q-factor of approximately ⅔Q int .
7. A resonant optical sensor as defined in claim 5 wherein the steepest slope, single resonance peak in the transmission spectrum is associated with a Q-factor of approximately ½Q int .
8. A resonant optical sensor as defined in claim 5 wherein the sharpest, single resonance peak in the reflection spectrum is associated with a Q-factor of approximately ¾Q int .
9. A resonant optical sensor as defined in claim 5 wherein the steepest slope, single resonance peak in the reflection spectrum is associated with a Q-factor of approximately ⅔Q int .