Abstract:
A method estimates a nonlinearity profile of a material. The method includes providing a magnitude of a transform of a measured nonlinearity profile measured from the material. The method further includes providing an estimated phase term of the transform of the measured nonlinearity profile. The method further includes multiplying the magnitude and the estimated phase term to generate an estimated transform. The method further includes calculating an inverse transform of the estimated transform. The method further includes calculating a real component of the inverse transform to generate an estimated nonlinearity profile.
Abstract:
A method determines a complex electric field temporal profile of an optical pulse. The method includes providing a measured magnitude of the Fourier transform of a complex electric field temporal profile of a pulse sequence comprising the optical pulse and a dummy pulse. The method further includes providing an estimated phase term of the Fourier transform of the complex electric field temporal profile of the pulse sequence. The method further includes multiplying the measured magnitude and the estimated phase term to generate an estimated Fourier transform of the complex electric field temporal profile of the pulse sequence. The method further includes calculating an inverse Fourier transform of the estimated Fourier transform, wherein the inverse Fourier transform is a function of time. The method further includes calculating an estimated complex electric field temporal profile of the pulse sequence by applying at least one constraint to the inverse Fourier transform.
Abstract:
Coupling of core modes to surface modes in an air-core photonic-bandgap fiber (PBF) can cause large propagation losses. Computer simulations analyze the relationship between the geometry and the presence of surface modes in PBFs having a triangular hole pattern and identify ranges of core characteristic dimensions (e.g., radii) for which the fiber supports no surface modes (i.e., only core modes are present) over the entire wavelength range of the bandgap. In particular, for a hole spacing Λ and a hole radius ρ=0.47Λ, the core supports a single mode and supports no surface modes for core radii between about 0.7Λ and about 1.05Λ, which suggests that such fibers should exhibit a very low propagation loss. The existence of surface modes can be predicted simply and expediently by studying either the bulk modes alone or the geometry of the fiber without requiring a full analysis of the defect modes.
Abstract:
A method determines a nonlinearity profile of a material. The method includes providing a magnitude of a Fourier transform of a measured nonlinearity profile measured from the material. The method further includes providing an estimated phase term of the Fourier transform of the measured nonlinearity profile. The method further includes multiplying the magnitude and the estimated phase term to generate an estimated Fourier transform. The method further includes calculating an inverse Fourier transform of the estimated Fourier transform. The method further includes calculating a real component of the inverse Fourier transform to generate an estimated nonlinearity profile.
Abstract:
Photodarkening in active fiber or waveguide devices (e.g. lasers, amplifiers, and incoherent sources such as ASE sources) can be reduced by altering the dopant concentration along the length of the doped fiber. A fiber or waveguide device includes two or more intentionally doped fiber or waveguide sections having different concentrations of one or more dopants. The dopants provide optical gain responsive to pump radiation provided to the fiber device by a pump source. A first optical intensity in a first of the fiber or waveguide sections is greater than a second optical intensity in a second of the fiber or waveguide sections. A first dopant concentration in the first fiber or waveguide section is lower than a second dopant concentration in the second fiber or waveguide section. Thus the dopant concentration is reduced in sections of the fiber or waveguide device having a higher optical intensity. The optical intensity can be due to pump radiation and/or signal radiation. Reduced dopant concentration in regions of high optical intensity reduces photodarkening.
Abstract:
A method determines a transient response of a sample. The method includes providing a measured magnitude of the Fourier transform of a complex electric field temporal profile of a pulse sequence comprising a probe pulse and a dummy pulse, wherein the probe pulse is indicative of the transient response of the sample. The method further includes providing an estimated phase term of the Fourier transform of the complex electric field temporal profile of the pulse sequence. The method further includes multiplying the measured magnitude and the estimated phase term to generate an estimated Fourier transform of the complex electric field temporal profile of the pulse sequence. The method further includes calculating an inverse Fourier transform of the estimated Fourier transform, wherein the inverse Fourier transform is a function of time. The method further includes calculating an estimated complex electric field temporal profile of the pulse sequence by applying at least one constraint to the inverse Fourier transform.
Abstract:
A method determines a complex reflection impulse response of a fiber Bragg grating. The method includes providing a measured amplitude of a complex reflection spectrum of the fiber Bragg grating. The method further includes providing an estimated phase term of the complex reflection spectrum. The method further includes multiplying the measured amplitude and the estimated phase term to generate an estimated complex reflection spectrum. The method further includes calculating an inverse Fourier transform of the estimated complex reflection spectrum, wherein the inverse Fourier transform is a function of time. The method further includes calculating an estimated complex reflection impulse response by applying at least one constraint to the inverse Fourier transform of the estimated complex reflection spectrum.
Abstract:
A method for measuring a physical function forms a symmetric composite function by combining the physical function with a reference function. The method obtains a Fourier transform of the symmetric composite function. The method calculates an inverse Fourier transform of the obtained Fourier transform, wherein the calculated inverse Fourier transform provides information regarding the physical function. The physical function can be a nonlinearity profile of a sample with at least one sample surface. The physical function can alternatively by a sample temporal waveform of a sample optical pulse.
Abstract:
An optical filter and methods of filtering are provided. The optical filter includes a hollow-core fiber including a first portion and a second portion. The first portion includes a hollow core having a first diameter and a cladding having a second diameter. The second portion includes a hollow core having a third diameter smaller than the first diameter and a cladding having a fourth diameter smaller than the second diameter.
Abstract:
An optical sensor includes a directional coupler comprising at least a first port, a second port, and a third port. The first port is in optical communication with the second port and with the third port such that a first optical signal received by the first port is split into a second optical signal that propagates to the second port and a third optical signal that propagates to the third port. The optical sensor further includes a photonic bandgap fiber having a hollow core and an inner cladding generally surrounding the core. The photonic bandgap fiber is in optical communication with the second port and with the third port. The second optical signal and the third optical signal counterpropagate through the photonic bandgap fiber and return to the third port and the second port, respectively. The photonic bandgap fiber has a phase thermal constant S less than 8 parts-per-million per degree Celsius.