Resonator for force detection

1. A resonator for force detection by a beam of electromagnetic radiation, the resonator comprising a stack of:

a cavity containing a cavity medium having a first refractive index;

a first diffraction grating having a grating period; and

a first covering medium having a second refractive index;

wherein the cavity, the first diffraction grating and the first covering medium are stacked in an order, and the first refractive index, the second refractive index and the grating period are satisfied with the following resonating condition:

λ

n

r

<

p

<

λ

n

s

where λ is a wavelength of the electromagnetic radiation, p is the grating period, n r is the first refractive index, and n s is the second refractive index,

such that the cavity allows a plurality of propagating modes for the beam in the cavity and only one propagating mode for the beam outside the cavity, the plurality of propagating modes resonating in the cavity thereby generating a plurality of resonance peaks with different line widths under different wavelengths of the beam.

2. The resonator of claim 1 , wherein the cavity is between the first diffraction grating and the first covering medium.

3. The resonator of claim 1 , wherein the first diffraction grating is between the cavity and the first covering medium.

4. The resonator of claim 3 , wherein the stack further comprises a second diffraction grating; and the cavity is between the first diffraction grating and the second diffraction grating.

5. The resonator of claim 4 , wherein the stack further comprises a second covering medium; and the second diffraction grating is between the second covering medium and the cavity.

6. The resonator of claim 1 , wherein the first refractive index is in a range of 1.3 to 2.6, and the second refractive index is in a range of 1 to 1.7.

7. The resonator of claim 1 , wherein the cavity medium is a first polymer and the first covering medium is a second polymer.

8. The resonator of claim 1 , wherein the wavelength is in the infrared region, the visible light region, or the ultraviolet region.

9. The resonator of claim 1 , wherein the first diffraction grating has a grating feature comprising the cavity medium and has a spacing comprising the first covering medium.

10. The resonator of claim 1 , wherein the force detection is for detecting ultrasound.

11. A system for force detection, the system comprising:

the resonator of claim 1 ;

an electromagnetic radiation generator; and

an electromagnetic radiation detector.

12. The system of claim 11 , wherein the electromagnetic radiation generator is for generating a beam of electromagnetic radiation having a wavelength in the infrared region, the visible light region, or the ultraviolet region.

13. The system of claim 12 , wherein the wavelength corresponds to a resonance peak of the resonator.

14. The system of claim 11 , wherein the electromagnetic radiation generator is for generating electromagnetic radiation having transverse electric polarization or transverse magnetic polarization.

15. The system of claim 11 , wherein the electromagnetic radiation generator is a tunable laser.

16. The system of claim 11 , wherein the electromagnetic radiation detector comprises a photodiode and a circuit for amplitude detection.

17. The system of claim 11 , wherein the electromagnetic radiation detector comprises a photodiode and a circuit for phase detection.

18. A method for force detection by using the resonator of claim 1 , the method comprising the steps of:

a) generating an incident beam of electromagnetic radiation toward the resonator;

b) providing force acting on the resonator;

c) detecting a reflected beam or a transmitted beam from the resonator; and

d) determining an amount of the force acting on the resonator based on the detected beam;

wherein the electromagnetic radiation has a wavelength corresponding to a resonance peak of the resonator.

19. The method of claim 18 further comprising the step of selecting the resonance peak from a plurality of resonance peaks of the resonator prior to the step (a).

20. The method of claim 19 , wherein the plurality of resonance peaks are determined by the steps of:

scanning the resonator with a plurality of beams of electromagnetic radiation under a plurality of wavelengths;

detecting a plurality of beams reflected by or transmitted through the resonator;

determining a reflectivity response or a transmissivity response based on the plurality of the detected beams; and

determining the plurality of resonance peaks from the reflectivity response or the transmissivity response.