Nonlinear optical frequency conversion using metamaterial arrays

1. A method of nonlinear wavelength generation using a nonlinear optical medium and an input flux of pump energy comprising an input beam of electromagnetic radiation having a frequency f, the method comprising:

impinging the input beam onto one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, thereby to generate converted light containing at least one converted component having a frequency attainable only through a non-linear process; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

each of the one or more dielectric optical resonators has at least one Mie resonance that is excited by the input beam;

the at least one Mie resonance of each of the dielectric optical resonators is excited by the input beam;

the generating converted light comprises a process of harmonic generation, and

the at least one converted component comprises a second harmonic of the input beam frequency f.

2. The method of claim 1 , wherein the input flux of pump energy is applied to an array of nominally identical dielectric optical resonators.

3. The method of claim 1 , wherein the at least one Mie resonance comprises a magnetic dipole resonance or an electric dipole resonance or both an electric dipole resonance and a magnetic dipole resonance.

4. The method of claim 1 , wherein each of the one or more dielectric optical resonators has an electric dipole resonance, a magnetic dipole resonance, and resonances of higher order than the electric and magnetic dipole resonances, and wherein the at least one Mie resonance comprises at least one of the higher order resonances.

5. The method of claim 1 , wherein the at least one Mie resonance that is excited by the input beam comprises an electric dipole resonance, or a magnetic dipole resonance, or both an electric dipole resonance and a magnetic dipole resonance.

6. A method of nonlinear wavelength conversion using a nonlinear optical medium, one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, and at least one input beam of electromagnetic radiation having a frequency f, comprising:

impinging the at least one input beam onto the one or more dielectric optical resonators so as to excite at least one Mie resonance of each of the one or more dielectric optical resonators, thereby to generate converted light containing at least one converted component having a frequency unequal to f; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

the at least one input beam comprises a pump beam and a signal beam, and the generating converted light comprises at least one process from the group consisting of sum frequency generation, difference frequency generation, four-wave mixing, five-wave mixing, and six-wave mixing.

7. A method of nonlinear wavelength conversion using a nonlinear optical medium, one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, and at least one input beam of electromagnetic radiation having a frequency f, comprising:

impinging the at least one input beam onto the one or more dielectric optical resonators so as to excite at least one Mie resonance of each of the one or more dielectric optical resonators, thereby to generate converted light containing at least one converted component having a frequency unequal to f; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

the at least one input beam comprises a pump beam, and the generating converted light comprises a process of spontaneous parametric down-conversion.

8. A method of nonlinear wavelength conversion using a nonlinear optical medium, one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, and at least one input beam of electromagnetic radiation having a frequency f, comprising:

impinging the at least one input beam onto the one or more dielectric optical resonators so as to excite at least one Mie resonance of each of the one or more dielectric optical resonators, thereby to generate converted light containing at least one converted component having a frequency unequal to f; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

the nonlinear optical medium comprises a semiconductor host and a quantum well multilayer embedded in the semiconductor host.

9. A method of nonlinear wavelength conversion using a nonlinear optical medium, one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, and at least one input beam of electromagnetic radiation having a frequency f, comprising:

impinging the at least one input beam onto the one or more dielectric optical resonators so as to excite at least one Mie resonance of each of the one or more dielectric optical resonators, thereby to generate converted light containing at least one converted component having a frequency unequal to f; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

the at least one input beam comprises a pump beam, the nonlinear optical medium has a transition energy, and the generating converted light comprises a process of two-photon emission with emitted photon energies that are less than the transition energy.

10. The method of claim 9 , wherein the nonlinear optical medium comprises a semiconductor host and a quantum well multilayer embedded in the semiconductor host, the quantum well multilayer supports at least one inter-subband transition, and the inter-subband transition provides the nonlinear optical medium transition energy.

11. A method of nonlinear wavelength conversion using a nonlinear optical medium, one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, and at least one input beam of electromagnetic radiation having a frequency f, comprising:

impinging the at least one input beam onto the one or more dielectric optical resonators so as to excite at least one Mie resonance of each of the one or more dielectric optical resonators, thereby to generate converted light containing at least one converted component having a frequency unequal to f; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

the at least one input beam comprises a pump beam and a signal beam, and the pump beam and the signal beam each excite a respective Mie resonance of the one or more dielectric optical resonators.

12. A method of nonlinear wavelength conversion using a nonlinear optical medium, one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, and at least one input beam of electromagnetic radiation having a frequency f, comprising:

impinging the at least one input beam onto the one or more dielectric optical resonators so as to excite at least one Mie resonance of each of the one or more dielectric optical resonators, thereby to generate converted light containing at least one converted component having a frequency unequal to f; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

the one or more dielectric optical resonators have at least two Mie resonances, one said Mie resonance is excited by the input beam, and at least one other Mie resonance is excited by the at least one converted component.

13. A method of nonlinear wavelength generation using a nonlinear optical medium and an input flux of pump energy, comprising:

applying the input flux of pump energy to one or more dielectric optical resonators, each having an optical cavity comprising the nonlinear optical medium, thereby to generate converted light containing at least one converted component having a frequency attainable only through a non-linear process; and

collecting, from the one or more dielectric resonators, a beam of output light comprising the at least one converted component;

wherein:

each of the one or more dielectric optical resonators has at least one Mie resonance that is excited by the input flux of pump energy; and

the input flux of pump energy is an electric current and the nonlinear process is two-photon emission, or spontaneous parametric down-conversion, or both two-photon emission and spontaneous parametric down-conversion.