Martha Rosete-aguilar | Universidad Nacional Autónoma de México (original) (raw)

Papers by Martha Rosete-aguilar

Research paper thumbnail of High accuracy astigmatic-focusing system for laser targets

Applied Optics, Sep 2, 2022

An accurate location of the focal position with respect to a solid target is a key task for diffe... more An accurate location of the focal position with respect to a solid target is a key task for different applications, for instance, in laser driven plasma acceleration for x-ray generation where minimum required intensities are above 10 14 W / c m 2 . For such practical applications, new approaches for focus location and target delivery techniques are needed to achieve the required intensity, repeatability, and stability. There are different techniques to accomplish the focusing and target positioning task such as interferometry-, microscopy-, astigmatism-, and nonlinear-optics-based techniques, with their respective advantages and limitations. We present improvements of a focusing technique based on an astigmatic method with potential applications where maximum intensity at the target position is necessary. The presented technique demonstrates high accuracy up to 5 µm, below the Rayleigh range, and also its capability to work in rough surfaces targets and tilt tolerance of the target, with respect to the normal of the target surface.

Research paper thumbnail of Selection of glasses for achromatic doublets with reduced secondary color

Proceedings of SPIE, Oct 24, 2000

ABSTRACT

Research paper thumbnail of Use of Expendable Aspherics to Improve the Convergence of Iterative Lens Design

International Optical Design Conference, 1994

Research paper thumbnail of Novel technique for 2D temporal femtosecond laser pulses characterization

2020 IEEE Photonics Society Summer Topicals Meeting Series (SUM)

In this work, we present a CMOS sensor implemented for 2D-temporal characterization of femtosecon... more In this work, we present a CMOS sensor implemented for 2D-temporal characterization of femtosecond pulses, based on the Two Photon Absorption (TPA) process. We demonstrate the CMOS camera TPA capability to measure the Fringe Resolved Autocorrelation (FRAC).

Research paper thumbnail of Mechanical and optical behavior of a tunable liquid lens using a variable cross section membrane: modeling results

SPIE Proceedings, 2016

A lens containing a liquid medium and having at least one elastic membrane as one of its componen... more A lens containing a liquid medium and having at least one elastic membrane as one of its components is known as an elastic membrane lens (EML). The elastic membrane may have a constant or variable thickness. The optical properties of the EML change by modifying the profile of its elastic membrane(s). The EML formed of elastic constant thickness membrane(s) have been studied extensively. However, EML information using elastic membrane of variable thickness is limited. In this work, we present simulation results of the mechanical and optical behavior of two EML with variable thickness membranes (convex-plane membranes). The profile of its surfaces were modified by liquid medium volume increases. The model of the convex-plane membranes, as well as the simulation of its mechanical behavior, were performed using Solidworks® software; and surface’s points of the deformed elastic lens were obtained. Experimental stress-strain data, obtained from a silicone rubber simple tensile test, according to ASTM D638 norm, were used in the simulation. Algebraic expressions, (Schwarzschild formula, up to four deformation coefficients, in a cylindrical coordinate system (r, z)), of the meridional profiles of the first and second surfaces of the deformed convex-plane membranes, were obtained using the results from Solidworks® and a program in the software Mathematica®. The optical performance of the EML was obtained by simulation using the software OSLO® and the algebraic expressions obtained in Mathematica®.

Research paper thumbnail of An optofluidic grism

Novel Optical Systems Design and Optimization XVIII, 2015

Here we describe the fabrication and testing of a hollow prism and its application in a spectrogr... more Here we describe the fabrication and testing of a hollow prism and its application in a spectrograph. A hollow prism with a grating (GRISM) is used as a tunable spectrograph.

Research paper thumbnail of Design and construction of a broadband spectrum femtosecond laser

Latin America Optics and Photonics Conference, 2018

Research paper thumbnail of Characterization of ultrashort pulses in the focal region of refractive systems

Acta Universitaria, Dec 6, 2013

In this work we analyze the spatio-temporal intensity of sub-20 fs pulses with a carrier waveleng... more In this work we analyze the spatio-temporal intensity of sub-20 fs pulses with a carrier wavelength of 810 nm along the optical axis of low numerical aperture achromatic and apochromatic doublets designed in the IR region by using the scalar diffraction theory. The diffraction integral is solved by expanding the wave number around the carrier frequency of the pulse in a Taylor series up to third order, and then the integral over the frequencies is solved by using the Gauss-Legendre quadrature method. We will show that the third-order group velocity dispersion (GVD) is not negligible for 10 fs pulses at 810 nm propagating through the low numerical aperture doublets, and its effect is more important than the propagation time difference (PTD). For sub-20 fs pulses, these two effects make the use of a pulse shaper necessary to correct for second and higher-order GVD terms and also the use of apochromatic optics to correct the PTD effect.

Research paper thumbnail of Nonlinear focal shift due to the Kerr effect for a Gaussian beam focused by a lens

Applied Optics, Jan 30, 2023

When a low-power, monochromatic Gaussian beam is focused by a thin lens in air and the waist of t... more When a low-power, monochromatic Gaussian beam is focused by a thin lens in air and the waist of the beam is in the plane of the lens, there is a shift of the focus position if the waist of the beam is much smaller than the size of the lens. The point of maximum intensity relative to the geometrical focal point shifts closer to the lens. We show that for ultra-intense light beams, when the Kerr effect is unavoidable, there is a nonlinear focal shift. The nonlinear focus position shifts closer to the lens for laser powers below the critical power. To avoid the nonlinear focal shift below the critical power, the correct combination of Gaussian beam waist and focal system has to be used in the experimental setup. It will be shown that as the Fresnel number N w associated with the Gaussian beam radius increases, the nonlinear focal shift first increases and then begins to decrease.

Research paper thumbnail of Wavelet-based method for spectral interferometry filtering

Applied Optics, Nov 9, 2020

In this work, we study the effects of noise present on spectral interferometry signals, for femto... more In this work, we study the effects of noise present on spectral interferometry signals, for femtosecond pulse retrieval such as in the SPIDER technique (spectral phase interferometry for direct e-field reconstruction). Although previous works report SPIDER robustness, we have found that noisy signals with low signal-to-noise ratio (SNR), in the acquired spectral interferogram, could cause variations in the temporal pulse intensity retrieval. We demonstrate that even in a filtered SPIDER signal, following standard procedures, at some point the noise on the spectral interferogram could affect the spectral phase retrieval. As a novel alternative for spectral interferograms filtering, we have applied the wavelet transform and propose a target criterion to automatize the optimization algorithm. We apply this method on SPIDER signals and analyze its effectiveness on the spectral phase retrieval. We present numerical and experimental results to show the improvement in the phase retrieval and the temporal pulse reconstruction after applying this filtering method and compare the results with a standard method.

Research paper thumbnail of Effects of primary spherical aberration, coma, astigmatism, and field curvature on the focusing of ultrashort pulses: experimental results

Proceedings of SPIE, Aug 15, 2011

We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carri... more We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carrier wavelength of 810 nm at the paraxial focal plane of an achromatic doublet lens. The incident pulse is well-collimated, and we use the Seidel aberration theory for thin lenses to evaluate the phase change due to the aberrations of the lens. In a set of cemented thin lenses with the stop at the lens, there is only spherical aberration, coma, astigmatism and field curvature, whereas the distortion aberration in the phase front is zero. We analyze the effect of these aberrations in the focusing of ultrashort pulses for homogenous illumination. We will show that the temporal spreading introduced by these aberrations in pulses shorter than 20 fs at 810 nm is very small but the spatial spreading is not, which reduces the intensity of the pulse considerably.

Research paper thumbnail of Gauss-Legendre quadrature method used to evaluate the electric field envelope of ultrashort pulses in the focal region of lenses

Proceedings of SPIE, Aug 15, 2011

We analyze the spatio-temporal intensity of sub-20 femtosecond pulses with a carrier wavelength o... more We analyze the spatio-temporal intensity of sub-20 femtosecond pulses with a carrier wavelength of 810 nm along the optical axis of low numerical aperture achromatic and apochromatic doublets designed in the IR region by using the scalar diffraction theory. The diffraction integral is solved by expanding the wave number around the carrier frequency of the pulse in a Taylor series up to third order, and then the integral over the frequencies is solved by using the Gauss-Legendre quadrature method. The numerical errors in this method are negligible by taking 96 nodes and the computational time is reduced by 95% compared to the integration method by rectangles. We will show that the third-order group velocity dispersion (GVD) is not negligible for 10 fs pulses at 810 nm propagating through the low numerical aperture doublets, and its effect is more important than the propagation time difference (PTD). This last effect, however, is also significant. For sub-20 femtosecond pulses, these two effects make the use of a pulse shaper necessary to correct for second and higher-order GVD terms and also the use of apochromatic optics to correct the PTD effect. The design of an apochromatic doublet is presented in this paper and the spatio-temporal intensity of the pulse at the focal region of this doublet is compared to that given by the achromatic doublet.

Research paper thumbnail of Effects of primary spherical aberration, coma, astigmatism, and field curvature on the focusing of ultrashort pulses

Proceedings of SPIE, Aug 15, 2011

We analyze the spatiotemporal intensity of Gaussian temporal envelope pulses with initial duratio... more We analyze the spatiotemporal intensity of Gaussian temporal envelope pulses with initial durations of 200 fs and a carrier wavelength of 810 nm at the paraxial focal plane of an achromatic doublet lens for a well-collimated incoming pulse beam by using the Seidel aberration theory for thin lenses with the stop at the lens. We analyze the effect of these aberrations in the focusing of ultrashort pulses for Gaussian illumination and present experimental results for 200 fs pulses focused by a near-IR achromatic doublet.

Research paper thumbnail of A high resolution hand-held focused beam profiler

Proceedings of SPIE, May 16, 2017

The shape of a beam is important in any laser application and depending on the final implementati... more The shape of a beam is important in any laser application and depending on the final implementation, there exists a preferred one which is defined by the irradiance distribution.1 The energy distribution (or laser beam profile) is an important parameter in a focused beam, for instance, in laser cut industry, where the beam shape determines the quality of the cut. In terms of alignment and focusing, the energy distribution also plays an important role since the system must be configured in order to reduce the aberration effects and achieve the highest intensity. Nowadays a beam profiler is used in both industry and research laboratories with the aim to characterize laser beams used in free-space communications, focusing and welding, among other systems. The purpose of the profile analyzers is to know the main parameters of the beam, to control its characteristics as uniformity, shape and beam size as a guide to align the focusing system. In this work is presented a high resolution hand-held and compact design of a beam profiler capable to measure at the focal plane, with covered range from 400 nm to 1000 nm. The detection is reached with a CMOS sensor sized in 3673.6 μm x 2738.4 μm which acquire a snap shot of the previously attenuated focused beam to avoid the sensor damage, the result is an image of beam intensity distribution, which is digitally processed with a RaspberryTMmodule gathering significant parameters such as beam waist, centroid, uniformity and also some aberrations. The profiler resolution is 1.4 μm and was probed and validated in three different focusing systems. The spot sizes measurements were compared with the Foucault knife-edge test.

Research paper thumbnail of Study of orthogonal polarization approximation for ordinary and extraordinary rays in ray tracing for uniaxial crystals

Proceedings of SPIE, Apr 27, 2016

We study the assumption of orthogonal polarization for ordinary and extraordinary rays inside uni... more We study the assumption of orthogonal polarization for ordinary and extraordinary rays inside uniaxial crystals, using a closed-form expression for the angle between the polarizations. We highlight that orthogonality holds only when the crystal axis is rather coplanar to the ordinary and extraordinary wave vectors or orthogonal to the extraordinary wave vector, which are the same conditions for the extraordinary ray to stay in the plane of incidence. We show that in general the deviation from orthogonality is rather small, for it depends on the difference of the optical indices, and that negative and positive crystals have different behaviors. Using the paraxial approximation we derive expressions for the polarizations of rays and point out that even under the paraxial regime orthogonality does not hold. Specific examples for calcite and quartz are given.

Research paper thumbnail of Temporal widening of a short polarized pulse focused with a high numerical aperture aplanatic lens

Journal of the Optical Society of America, Mar 11, 2014

We present a theoretical analysis of the field distribution in the focal plane of a dispersionles... more We present a theoretical analysis of the field distribution in the focal plane of a dispersionless, high numerical aperture (NA) aplanatic lens for an x-polarized short pulse. We compare the focused pulse spatial distribution with that of a focused continuous wave (CW) field and its temporal distribution with the profile of the incident pulse. Regardless of the aberration free nature of the focusing aplanatic lens, the temporal width of the focused pulse widens considerably for incident pulses with durations on the order of a few cycles due to the frequency-dependent nature of diffraction phenomena, which imposes a temporal diffraction limit for focused short pulses. The spatial distribution of the focused pulse is also affected by this dependence and is altered with respect to the diffraction limited distribution of the CW incident field. We have analyzed pulses with flat top and Gaussian spatial irradiance profiles and found that the focused pulse temporal widening is less for the Gaussian spatial irradiance pulse, whereas the spatial distribution variation is similar in both cases. We present results of the focused pulsewidth as a function of the NA for the two spatial irradiance distributions, which show that the Gaussian irradiance pulse outperforms the flat top pulse at preserving the incident pulse duration.

Research paper thumbnail of Autocorrelation z-scan technique for measuring the spatial and temporal distribution of femtosecond pulses in the focal region of lenses

Optics Express, Jun 16, 2017

In this work we present an Autocorrelation z-scan technique to measure, simultaneously, the spati... more In this work we present an Autocorrelation z-scan technique to measure, simultaneously, the spatial and temporal distribution of femtosecond pulses near the focal region of lenses. A second-order collinear autocorrelator is implemented before the lens under test to estimate the pulse width. Signals are obtained by translating a Two Photon Absorption (TPA) sensor along the optical axis and by measuring the second-order autocorrelation trace at each position z. The DC signal, which is typically not considered important, is taken into account since we have found that this signal provides relevant information. Experimental results are presented for different lenses and input wavefronts.

Research paper thumbnail of Effects of primary spherical aberration, coma, astigmatism and field curvature on the focusing of ultrashort pulses: homogenous illumination

Journal of the Optical Society of America, Sep 6, 2011

We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carri... more We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carrier wavelength of 810 nm at the paraxial focal plane of an achromatic doublet lens. The incident pulse is well-collimated, and we use the Seidel aberration theory for thin lenses to evaluate the phase change due to the aberrations of the lens. In a set of cemented thin lenses with the stop at the lens, there is only spherical aberration, coma, astigmatism and field curvature, whereas the distortion aberration in the phase front is zero. We analyze the effect of these aberrations in the focusing of ultrashort pulses for homogenous illumination. We will show that the temporal spreading introduced by these aberrations in pulses shorter than 20 fs at 810 nm is very small but the spatial spreading is not, which reduces the intensity of the pulse considerably.

Research paper thumbnail of A nonlinear confocal positioner for micron-scale target alignment

Optics Express, Jun 13, 2023

This paper presents a novel target positioner system that exhibits high sensitivity and accuracy.... more This paper presents a novel target positioner system that exhibits high sensitivity and accuracy. Specifically, the system is capable of precisely locating rough target surfaces within a micron-scale in the focal plane. The high sensitivity comes from the nonlinear detection scheme which uses the two-photon-absorption process in a Si-photodiode and a CMOS sensor at 1550 [nm]. The setup employs a confocal configuration that is easy to align and does not require a conjugated focal plane selective aperture (pinhole), thus demonstrating its feasibility and tilt tolerance of the target. Moreover, the system offers high accuracy up to 5 [μm], which corresponds to the step size of the focus scanning. The presented positioner system has potential applications in microfabrication with lasers and laser-driven plasma accelerators even at high repetition rates, limited by the detection bandwidth of the photodiode. Additionally, the principle can be extended to cameras if spatial information is needed and the system design can be extended to other spectral ranges with minimal changes.

Research paper thumbnail of Standard Deviation Positions of Intensity Profiles of a Focused Femtosecond Pulse

Research paper thumbnail of High accuracy astigmatic-focusing system for laser targets

Applied Optics, Sep 2, 2022

An accurate location of the focal position with respect to a solid target is a key task for diffe... more An accurate location of the focal position with respect to a solid target is a key task for different applications, for instance, in laser driven plasma acceleration for x-ray generation where minimum required intensities are above 10 14 W / c m 2 . For such practical applications, new approaches for focus location and target delivery techniques are needed to achieve the required intensity, repeatability, and stability. There are different techniques to accomplish the focusing and target positioning task such as interferometry-, microscopy-, astigmatism-, and nonlinear-optics-based techniques, with their respective advantages and limitations. We present improvements of a focusing technique based on an astigmatic method with potential applications where maximum intensity at the target position is necessary. The presented technique demonstrates high accuracy up to 5 µm, below the Rayleigh range, and also its capability to work in rough surfaces targets and tilt tolerance of the target, with respect to the normal of the target surface.

Research paper thumbnail of Selection of glasses for achromatic doublets with reduced secondary color

Proceedings of SPIE, Oct 24, 2000

ABSTRACT

Research paper thumbnail of Use of Expendable Aspherics to Improve the Convergence of Iterative Lens Design

International Optical Design Conference, 1994

Research paper thumbnail of Novel technique for 2D temporal femtosecond laser pulses characterization

2020 IEEE Photonics Society Summer Topicals Meeting Series (SUM)

In this work, we present a CMOS sensor implemented for 2D-temporal characterization of femtosecon... more In this work, we present a CMOS sensor implemented for 2D-temporal characterization of femtosecond pulses, based on the Two Photon Absorption (TPA) process. We demonstrate the CMOS camera TPA capability to measure the Fringe Resolved Autocorrelation (FRAC).

Research paper thumbnail of Mechanical and optical behavior of a tunable liquid lens using a variable cross section membrane: modeling results

SPIE Proceedings, 2016

A lens containing a liquid medium and having at least one elastic membrane as one of its componen... more A lens containing a liquid medium and having at least one elastic membrane as one of its components is known as an elastic membrane lens (EML). The elastic membrane may have a constant or variable thickness. The optical properties of the EML change by modifying the profile of its elastic membrane(s). The EML formed of elastic constant thickness membrane(s) have been studied extensively. However, EML information using elastic membrane of variable thickness is limited. In this work, we present simulation results of the mechanical and optical behavior of two EML with variable thickness membranes (convex-plane membranes). The profile of its surfaces were modified by liquid medium volume increases. The model of the convex-plane membranes, as well as the simulation of its mechanical behavior, were performed using Solidworks® software; and surface’s points of the deformed elastic lens were obtained. Experimental stress-strain data, obtained from a silicone rubber simple tensile test, according to ASTM D638 norm, were used in the simulation. Algebraic expressions, (Schwarzschild formula, up to four deformation coefficients, in a cylindrical coordinate system (r, z)), of the meridional profiles of the first and second surfaces of the deformed convex-plane membranes, were obtained using the results from Solidworks® and a program in the software Mathematica®. The optical performance of the EML was obtained by simulation using the software OSLO® and the algebraic expressions obtained in Mathematica®.

Research paper thumbnail of An optofluidic grism

Novel Optical Systems Design and Optimization XVIII, 2015

Here we describe the fabrication and testing of a hollow prism and its application in a spectrogr... more Here we describe the fabrication and testing of a hollow prism and its application in a spectrograph. A hollow prism with a grating (GRISM) is used as a tunable spectrograph.

Research paper thumbnail of Design and construction of a broadband spectrum femtosecond laser

Latin America Optics and Photonics Conference, 2018

Research paper thumbnail of Characterization of ultrashort pulses in the focal region of refractive systems

Acta Universitaria, Dec 6, 2013

In this work we analyze the spatio-temporal intensity of sub-20 fs pulses with a carrier waveleng... more In this work we analyze the spatio-temporal intensity of sub-20 fs pulses with a carrier wavelength of 810 nm along the optical axis of low numerical aperture achromatic and apochromatic doublets designed in the IR region by using the scalar diffraction theory. The diffraction integral is solved by expanding the wave number around the carrier frequency of the pulse in a Taylor series up to third order, and then the integral over the frequencies is solved by using the Gauss-Legendre quadrature method. We will show that the third-order group velocity dispersion (GVD) is not negligible for 10 fs pulses at 810 nm propagating through the low numerical aperture doublets, and its effect is more important than the propagation time difference (PTD). For sub-20 fs pulses, these two effects make the use of a pulse shaper necessary to correct for second and higher-order GVD terms and also the use of apochromatic optics to correct the PTD effect.

Research paper thumbnail of Nonlinear focal shift due to the Kerr effect for a Gaussian beam focused by a lens

Applied Optics, Jan 30, 2023

When a low-power, monochromatic Gaussian beam is focused by a thin lens in air and the waist of t... more When a low-power, monochromatic Gaussian beam is focused by a thin lens in air and the waist of the beam is in the plane of the lens, there is a shift of the focus position if the waist of the beam is much smaller than the size of the lens. The point of maximum intensity relative to the geometrical focal point shifts closer to the lens. We show that for ultra-intense light beams, when the Kerr effect is unavoidable, there is a nonlinear focal shift. The nonlinear focus position shifts closer to the lens for laser powers below the critical power. To avoid the nonlinear focal shift below the critical power, the correct combination of Gaussian beam waist and focal system has to be used in the experimental setup. It will be shown that as the Fresnel number N w associated with the Gaussian beam radius increases, the nonlinear focal shift first increases and then begins to decrease.

Research paper thumbnail of Wavelet-based method for spectral interferometry filtering

Applied Optics, Nov 9, 2020

In this work, we study the effects of noise present on spectral interferometry signals, for femto... more In this work, we study the effects of noise present on spectral interferometry signals, for femtosecond pulse retrieval such as in the SPIDER technique (spectral phase interferometry for direct e-field reconstruction). Although previous works report SPIDER robustness, we have found that noisy signals with low signal-to-noise ratio (SNR), in the acquired spectral interferogram, could cause variations in the temporal pulse intensity retrieval. We demonstrate that even in a filtered SPIDER signal, following standard procedures, at some point the noise on the spectral interferogram could affect the spectral phase retrieval. As a novel alternative for spectral interferograms filtering, we have applied the wavelet transform and propose a target criterion to automatize the optimization algorithm. We apply this method on SPIDER signals and analyze its effectiveness on the spectral phase retrieval. We present numerical and experimental results to show the improvement in the phase retrieval and the temporal pulse reconstruction after applying this filtering method and compare the results with a standard method.

Research paper thumbnail of Effects of primary spherical aberration, coma, astigmatism, and field curvature on the focusing of ultrashort pulses: experimental results

Proceedings of SPIE, Aug 15, 2011

We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carri... more We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carrier wavelength of 810 nm at the paraxial focal plane of an achromatic doublet lens. The incident pulse is well-collimated, and we use the Seidel aberration theory for thin lenses to evaluate the phase change due to the aberrations of the lens. In a set of cemented thin lenses with the stop at the lens, there is only spherical aberration, coma, astigmatism and field curvature, whereas the distortion aberration in the phase front is zero. We analyze the effect of these aberrations in the focusing of ultrashort pulses for homogenous illumination. We will show that the temporal spreading introduced by these aberrations in pulses shorter than 20 fs at 810 nm is very small but the spatial spreading is not, which reduces the intensity of the pulse considerably.

Research paper thumbnail of Gauss-Legendre quadrature method used to evaluate the electric field envelope of ultrashort pulses in the focal region of lenses

Proceedings of SPIE, Aug 15, 2011

We analyze the spatio-temporal intensity of sub-20 femtosecond pulses with a carrier wavelength o... more We analyze the spatio-temporal intensity of sub-20 femtosecond pulses with a carrier wavelength of 810 nm along the optical axis of low numerical aperture achromatic and apochromatic doublets designed in the IR region by using the scalar diffraction theory. The diffraction integral is solved by expanding the wave number around the carrier frequency of the pulse in a Taylor series up to third order, and then the integral over the frequencies is solved by using the Gauss-Legendre quadrature method. The numerical errors in this method are negligible by taking 96 nodes and the computational time is reduced by 95% compared to the integration method by rectangles. We will show that the third-order group velocity dispersion (GVD) is not negligible for 10 fs pulses at 810 nm propagating through the low numerical aperture doublets, and its effect is more important than the propagation time difference (PTD). This last effect, however, is also significant. For sub-20 femtosecond pulses, these two effects make the use of a pulse shaper necessary to correct for second and higher-order GVD terms and also the use of apochromatic optics to correct the PTD effect. The design of an apochromatic doublet is presented in this paper and the spatio-temporal intensity of the pulse at the focal region of this doublet is compared to that given by the achromatic doublet.

Research paper thumbnail of Effects of primary spherical aberration, coma, astigmatism, and field curvature on the focusing of ultrashort pulses

Proceedings of SPIE, Aug 15, 2011

We analyze the spatiotemporal intensity of Gaussian temporal envelope pulses with initial duratio... more We analyze the spatiotemporal intensity of Gaussian temporal envelope pulses with initial durations of 200 fs and a carrier wavelength of 810 nm at the paraxial focal plane of an achromatic doublet lens for a well-collimated incoming pulse beam by using the Seidel aberration theory for thin lenses with the stop at the lens. We analyze the effect of these aberrations in the focusing of ultrashort pulses for Gaussian illumination and present experimental results for 200 fs pulses focused by a near-IR achromatic doublet.

Research paper thumbnail of A high resolution hand-held focused beam profiler

Proceedings of SPIE, May 16, 2017

The shape of a beam is important in any laser application and depending on the final implementati... more The shape of a beam is important in any laser application and depending on the final implementation, there exists a preferred one which is defined by the irradiance distribution.1 The energy distribution (or laser beam profile) is an important parameter in a focused beam, for instance, in laser cut industry, where the beam shape determines the quality of the cut. In terms of alignment and focusing, the energy distribution also plays an important role since the system must be configured in order to reduce the aberration effects and achieve the highest intensity. Nowadays a beam profiler is used in both industry and research laboratories with the aim to characterize laser beams used in free-space communications, focusing and welding, among other systems. The purpose of the profile analyzers is to know the main parameters of the beam, to control its characteristics as uniformity, shape and beam size as a guide to align the focusing system. In this work is presented a high resolution hand-held and compact design of a beam profiler capable to measure at the focal plane, with covered range from 400 nm to 1000 nm. The detection is reached with a CMOS sensor sized in 3673.6 μm x 2738.4 μm which acquire a snap shot of the previously attenuated focused beam to avoid the sensor damage, the result is an image of beam intensity distribution, which is digitally processed with a RaspberryTMmodule gathering significant parameters such as beam waist, centroid, uniformity and also some aberrations. The profiler resolution is 1.4 μm and was probed and validated in three different focusing systems. The spot sizes measurements were compared with the Foucault knife-edge test.

Research paper thumbnail of Study of orthogonal polarization approximation for ordinary and extraordinary rays in ray tracing for uniaxial crystals

Proceedings of SPIE, Apr 27, 2016

We study the assumption of orthogonal polarization for ordinary and extraordinary rays inside uni... more We study the assumption of orthogonal polarization for ordinary and extraordinary rays inside uniaxial crystals, using a closed-form expression for the angle between the polarizations. We highlight that orthogonality holds only when the crystal axis is rather coplanar to the ordinary and extraordinary wave vectors or orthogonal to the extraordinary wave vector, which are the same conditions for the extraordinary ray to stay in the plane of incidence. We show that in general the deviation from orthogonality is rather small, for it depends on the difference of the optical indices, and that negative and positive crystals have different behaviors. Using the paraxial approximation we derive expressions for the polarizations of rays and point out that even under the paraxial regime orthogonality does not hold. Specific examples for calcite and quartz are given.

Research paper thumbnail of Temporal widening of a short polarized pulse focused with a high numerical aperture aplanatic lens

Journal of the Optical Society of America, Mar 11, 2014

We present a theoretical analysis of the field distribution in the focal plane of a dispersionles... more We present a theoretical analysis of the field distribution in the focal plane of a dispersionless, high numerical aperture (NA) aplanatic lens for an x-polarized short pulse. We compare the focused pulse spatial distribution with that of a focused continuous wave (CW) field and its temporal distribution with the profile of the incident pulse. Regardless of the aberration free nature of the focusing aplanatic lens, the temporal width of the focused pulse widens considerably for incident pulses with durations on the order of a few cycles due to the frequency-dependent nature of diffraction phenomena, which imposes a temporal diffraction limit for focused short pulses. The spatial distribution of the focused pulse is also affected by this dependence and is altered with respect to the diffraction limited distribution of the CW incident field. We have analyzed pulses with flat top and Gaussian spatial irradiance profiles and found that the focused pulse temporal widening is less for the Gaussian spatial irradiance pulse, whereas the spatial distribution variation is similar in both cases. We present results of the focused pulsewidth as a function of the NA for the two spatial irradiance distributions, which show that the Gaussian irradiance pulse outperforms the flat top pulse at preserving the incident pulse duration.

Research paper thumbnail of Autocorrelation z-scan technique for measuring the spatial and temporal distribution of femtosecond pulses in the focal region of lenses

Optics Express, Jun 16, 2017

In this work we present an Autocorrelation z-scan technique to measure, simultaneously, the spati... more In this work we present an Autocorrelation z-scan technique to measure, simultaneously, the spatial and temporal distribution of femtosecond pulses near the focal region of lenses. A second-order collinear autocorrelator is implemented before the lens under test to estimate the pulse width. Signals are obtained by translating a Two Photon Absorption (TPA) sensor along the optical axis and by measuring the second-order autocorrelation trace at each position z. The DC signal, which is typically not considered important, is taken into account since we have found that this signal provides relevant information. Experimental results are presented for different lenses and input wavefronts.

Research paper thumbnail of Effects of primary spherical aberration, coma, astigmatism and field curvature on the focusing of ultrashort pulses: homogenous illumination

Journal of the Optical Society of America, Sep 6, 2011

We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carri... more We analyze the spatiotemporal intensity of pulses with durations of 20 fs and shorter and a carrier wavelength of 810 nm at the paraxial focal plane of an achromatic doublet lens. The incident pulse is well-collimated, and we use the Seidel aberration theory for thin lenses to evaluate the phase change due to the aberrations of the lens. In a set of cemented thin lenses with the stop at the lens, there is only spherical aberration, coma, astigmatism and field curvature, whereas the distortion aberration in the phase front is zero. We analyze the effect of these aberrations in the focusing of ultrashort pulses for homogenous illumination. We will show that the temporal spreading introduced by these aberrations in pulses shorter than 20 fs at 810 nm is very small but the spatial spreading is not, which reduces the intensity of the pulse considerably.

Research paper thumbnail of A nonlinear confocal positioner for micron-scale target alignment

Optics Express, Jun 13, 2023

This paper presents a novel target positioner system that exhibits high sensitivity and accuracy.... more This paper presents a novel target positioner system that exhibits high sensitivity and accuracy. Specifically, the system is capable of precisely locating rough target surfaces within a micron-scale in the focal plane. The high sensitivity comes from the nonlinear detection scheme which uses the two-photon-absorption process in a Si-photodiode and a CMOS sensor at 1550 [nm]. The setup employs a confocal configuration that is easy to align and does not require a conjugated focal plane selective aperture (pinhole), thus demonstrating its feasibility and tilt tolerance of the target. Moreover, the system offers high accuracy up to 5 [μm], which corresponds to the step size of the focus scanning. The presented positioner system has potential applications in microfabrication with lasers and laser-driven plasma accelerators even at high repetition rates, limited by the detection bandwidth of the photodiode. Additionally, the principle can be extended to cameras if spatial information is needed and the system design can be extended to other spectral ranges with minimal changes.

Research paper thumbnail of Standard Deviation Positions of Intensity Profiles of a Focused Femtosecond Pulse