Abstract: Provided herein are mirrors, methods of fabricating the mirrors, and Fabry-Pérot resonators including the mirrors. The mirrors include a radius of curvature between about 10?4 m and about 10?2 m and a finesse of greater than about 106 and/or a sub-Angstrom surface roughness. The method includes flowing photoresist onto a substrate, removing a portion of the photoresist, subjecting a remaining portion of the photoresist to reflow under exposure to a solvent vapor, etching the substate and the remaining portion of the photoresist to produce an etched substrate, and applying a mirror coating the etched substrate. The Fabry-Pérot resonator includes a first mirror, and a second mirror parallel to the first mirror such that light is reflected between the first mirror and the second mirror, wherein at least one of the first mirror or the second mirror includes the mirror disclosed herein.

Abstract: Apparatus and methods for generating mid-IR frequency combs using intra-pulse DFG. A mode-locked pulse generation laser generates near-IR pulses which are amplified. The amplified pulses are spectrally broadened by a nonlinear element, for example a normal dispersion highly nonlinear fiber (ND-HNLF) to generate broadened pulses. The nonlinear spectral broadening element is a transparent dielectric material having a cubic nonlinear response. Broadened pulses are temporally compressed to generate short, high-power pulses which few-cycle conditioned pulses which are ready for the intrapulse DFG process. The DFG block generates a mid-IR comb by difference frequency generation. It might comprise an orientation patterned GaP (OP-GaP) crystal or a poled lithium niobate (PPLN) crystal.

Abstract: An optical reference cavity includes: a cell that includes: a cylindrical body; end faces; an optical canal having an interior cylindrical geometry; and an exterior surface having an exterior cylindrical geometry; mirrors disposed on the end faces; an aspect ratio that is less than 1; a compression clamp that holds the cell through compression and includes compression platens disposed on the end faces so that the compression platens exert a compressive force to the end faces at a radius from a central axis of the cell so that the cell is compressed by the compression clamp, and a length of the optical canal is unperturbed to first order with a magnitude of the compressive force; and a compression intermediary interposed between the compression platens and end faces, wherein the length of the optical canal is insensitive to vibration coupled to the cell by the compression clamp and compression intermediaries.

Abstract: Apparatus and methods for generating mid-IR frequency combs using intra-pulse DFG. A mode-locked pulse generation laser generates near-IR pulses which are amplified. The amplified pulses are spectrally broadened by a nonlinear element, for example a normal dispersion highly nonlinear fiber (ND-HNLF) to generate broadened pulses. The nonlinear spectral broadening element is a transparent dielectric material having a cubic nonlinear response. Broadened pulses are temporally compressed to generate short, high-power pulses which few-cycle conditioned pulses which are ready for the intrapulse DFG process. The DFG block generates a mid-IR comb by difference frequency generation. It might comprise an orientation patterned GaP (OP-GaP) crystal or a poled lithium niobate (PPLN) crystal.

Abstract: An optical reference cavity includes: a cell that includes: a cylindrical body; end faces; an optical canal having an interior cylindrical geometry; and an exterior surface having an exterior cylindrical geometry; mirrors disposed on the end faces; an aspect ratio that is less than 1; a compression clamp that holds the cell through compression and includes compression platens disposed on the end faces so that the compression platens exert a compressive force to the end faces at a radius from a central axis of the cell so that the cell is compressed by the compression clamp, and a length of the optical canal is unperturbed to first order with a magnitude of the compressive force; and a compression intermediary interposed between the compression platens and end faces, wherein the length of the optical canal is insensitive to vibration coupled to the cell by the compression clamp and compression intermediaries.

Abstract: An electronic light synthesizer electronically synthesizes supercontinuum light and includes: a microwave modulator that: receives a continuous wave light including an optical frequency; modulates the continuous wave light at a microwave repetition frequency; and produces a frequency comb modulated at the microwave repetition frequency; a self-phase modulator that: receives the frequency comb; spectrally broadens an optical wavelength range of the frequency comb; and produces broadened light modulated at the microwave repetition frequency; an optical filter that: receives the broadened light from the self-phase modulator; and optically filters electronic noise in the broadened light; and a supercontinuum generator that: receives the broadened light from the optical filter; spectrally broadens the optical wavelength range of the broadened light; and produces supercontinuum light modulated at the microwave repetition frequency.

Abstract: A signal generator includes an optical pulse source to provide a plurality of optical pulses; a photosensitive element configured to receive optical pulses and to produce an electrical signal from optical pulses 6, electrical signal 10 including a spectrum that includes a plurality of discrete frequencies that occur at a repetition rate corresponding to that of the optical pulses or a harmonic thereof; a frequency selector to receive the electrical signal from the photosensitive element, to select dynamically the harmonic from the electrical signal and to communicate the dynamically selected harmonic; a direct digital synthesizer (DDS) to receive the harmonic of the electrical signal from the frequency selector and to produce a first output; and a frequency converter to receive the harmonic from the frequency selector and the first output from the DDS, wherein the frequency converter shifts a frequency of the harmonic by an amount substantially equal to a frequency of the first output from the DDS to produce

Abstract: A microwave-frequency source at frequency fM comprises: a dual optical-frequency reference source, an electro-optic sideband generator, an optical bandpass filter, an optical detector, a reference oscillator, an electrical circuit, and a voltage-controlled oscillator (VCO). The sideband generator modulates dual optical reference signals at v2 and v1 to generate sideband signals at v1±n1fM and v2±n2fM. The bandpass filter transmits sideband signals at v1+N1fM and v2?N2fM. The optical detector generates a beat note at (v2?N2fM)?(v1+N1fM). The beat note and a reference oscillator signal are processed by the circuit to generate a loop-filtered error signal to input to the VCO. Output of the VCO at fM drives the sideband generator and forms the microwave-frequency output signal. The resultant frequency division results in reduced phase noise on the microwave-frequency signal.

Abstract: An electronic light synthesizer electronically synthesizes supercontinuum light, the electronic light synthesizer and includes: a microwave modulator that: receives a continuous wave light including an optical frequency; modulates the continuous wave light at a microwave repetition frequency; and produces a frequency comb including the optical frequency and modulated at the microwave repetition frequency; a self-phase modulator in optical communication with the microwave modulator and that: receives the frequency comb from the microwave modulator; spectrally broadens an optical wavelength range of the frequency comb; and produces broadened light including the optical frequency and modulated at the microwave repetition frequency; an optical filter in optical communication with the self-phase modulator and that: receives the broadened light from the self-phase modulator; and optically filters electronic noise in the broadened light; and a supercontinuum generator in optical communication with the optical filter

Abstract: A microwave-frequency source at frequency fM comprises: a dual optical-frequency reference source, an electro-optic sideband generator, an optical bandpass filter, an optical detector, a reference oscillator, an electrical circuit, and a voltage-controlled oscillator (VCO). The sideband generator modulates dual optical reference signals at v2 and v1 to generate sideband signals at v1±n1fM and v2±n2fM. The bandpass filter transmits sideband signals at v1+N1fM and v2?N2fM. The optical detector generates a beat note at (v2?N2fM)?(v1+N1fM). The beat note and a reference oscillator signal are processed by the circuit to generate a loop-filtered error signal to input to the VCO. Output of the VCO at fM drives the sideband generator and forms the microwave-frequency output signal. The resultant frequency division results in reduced phase noise on the microwave-frequency signal.

Abstract: A microwave-frequency source at frequency fM comprises: a dual optical-frequency reference source, an electro-optic sideband generator, an optical bandpass filter, an optical detector, a reference oscillator, an electrical circuit, and a voltage-controlled oscillator (VCO). The sideband generator modulates dual optical reference signals at v2 and v1 to generate sideband signals at v1±n1fM and v2±n2fM. The bandpass filter transmits sideband signals at v1+N1fM and v2?N2fM. The optical detector generates a beat note at (v2?N2fM)?(v1+N1fM). The beat note and a reference oscillator signal are processed by the circuit to generate a loop-filtered error signal to input to the VCO. Output of the VCO at fM drives the sideband generator and forms the microwave-frequency output signal. The resultant frequency division results in reduced phase noise on the microwave-frequency signal.

Abstract: An apparatus and technique are used to fabricate optical microresonators. A fabrication chamber contains all fabrication materials and devices. The microresonators are fabricated from a glass preform mounted on a motorized spindle. A laser is focused onto the preform to partly or fully impinge on the preform. The laser's focus position is controlled by changing the positioning of a lens mounted on a translation stage. Piezoelectric control elements may be mounted to finished microresonators to control of nonlinear parametric oscillation and four-wave mixing effects of the microresonator, control of nonlinear optical stimulated Brillouin scattering and Raman effects of said microresonator and wideband tuning of the frequency spacing between the output modes of a nonlinear-Kerr-effect optical frequency comb generated with said microresonator.

Abstract: A signal generator includes an optical pulse source to provide a plurality of optical pulses; a photosensitive element configured to receive optical pulses and to produce an electrical signal from optical pulses 6, electrical signal 10 including a spectrum that includes a plurality of discrete frequencies that occur at a repetition rate corresponding to that of the optical pulses or a harmonic thereof; a frequency selector to receive the electrical signal from the photosensitive element, to select dynamically the harmonic from the electrical signal and to communicate the dynamically selected harmonic; a direct digital synthesizer (DDS) to receive the harmonic of the electrical signal from the frequency selector and to produce a first output; and a frequency converter to receive the harmonic from the frequency selector and the first output from the DDS, wherein the frequency converter shifts a frequency of the harmonic by an amount substantially equal to a frequency of the first output from the DDS to produce

Abstract: A microwave-frequency source at frequency fM comprises: a dual optical-frequency reference source, an electro-optic sideband generator, an optical bandpass filter, an optical detector, a reference oscillator, an electrical circuit, and a voltage-controlled oscillator (VCO). The sideband generator modulates dual optical reference signals at v2 and v1 to generate sideband signals at v1±n1fM and v2±n2fM. The bandpass filter transmits sideband signals at v1+N1fM and v2?N2fM. The optical detector generates a beat note at (v2?N2fM)?(v1+N1fM). The beat note and a reference oscillator signal are processed by the circuit to generate a loop-filtered error signal to input to the VCO. Output of the VCO at fM drives the sideband generator and forms the microwave-frequency output signal. The resultant frequency division results in reduced phase noise on the microwave-frequency signal.

Abstract: An apparatus and technique are used to fabricate optical microresonators. A fabrication chamber contains all fabrication materials and devices. The microresonators are fabricated from a glass preform mounted on a motorized spindle. A laser is focused onto the preform to partly or fully impinge on the preform. The laser's focus position is controlled by changing the positioning of a lens mounted on a translation stage. Piezoelectric control elements may be mounted to finished microresonators to control of nonlinear parametric oscillation and four-wave mixing effects of the microresonator, control of nonlinear optical stimulated Brillouin scattering and Raman effects of said microresonator and wideband tuning of the frequency spacing between the output modes of a nonlinear-Kerr-effect optical frequency comb generated with said microresonator.