> Hipolito Garcia-Gracia

Academic Positions

  • Present 2012

    Postdoctoral Research Associate

    Tecnológico de Monterrey, Optics Center

  • 2011 2010

    Visiting Research Assistant

    University of Calgary, Institute for Quantum Science and Technology

  • 2012 2006

    Graduate Reseach Assistant

    Tecnológico de Monterrey, Optics Center

Education

  • Ph.D. 2012

    Ph.D. in Information Technologies and Communications

    Tecnológico de Monterrey

  • M.Sc. 2008

    Master of Science in Electronic Systems

    Tecnológico de Monterrey

  • B.S. 2006

    Bachelor of Science in Physics Engineering

    Tecnológico de Monterrey

Honors, Awards and Grants

  • 2008-2012
    CONACyT Graduate Scholarship
    The graduate scholarship program of the Consejo Nacional de Ciencia y Tecnología (CONACyT) is Mexico's most important scholarship program for graduate studies in national universities and institutes. The program is open to Mexican and foreign citizens who wish to pursue a graduate program (Masters or Ph.D.) in one of the Mexican universities and institutes registered in CONACyT.
  • 2008
    Excellency Award
    Award granted for graduating top-of-class from the M.Sc. in Electronic Systems program, class 2008.
  • 2001-2006
    Excellence Scholarship
    The Excellence Scholarship from Tecnológico de Monterrey is a 90% tuition scholarship awarded to top-of-class students from select Mexican high schools.

Laboratory Personel

David A. Doe

Postdoctoral fellow

+ Follow

James Doe

Postdoctoral fellow

+ Follow

Nadja Sriram

Postdoctoral fellow

+ Follow

Davide Doe

Research Assistant

+ Follow

Pauline Doe

Summer Intern

+ Follow

James Doe

Postdoctoral fellow

+ Follow

Great lab Personel!

Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

Research Projects

  • image

    Title of Preject

    Very short description of the project.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

  • image

    Title of Preject

    Very short description of the project.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

  • image

    Title of Preject

    Very short description of the project.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

  • image

    Title of Preject

    Very short description of the project.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

  • image

    Title of Preject

    Very short description of the project.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

  • image

    Title of Preject

    Very short description of the project.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

    Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

Filter by type:

Sort by year:

Orbital angular momentum of optical vortices from power measurements and the cross-correlation function

Benjamin Perez-Garcia, Dorilian Lopez-Mago, Hipolito Garcia-Gracia, Jorge A. Garza-Alanis, Raul I. Hernandez-Aranda and Julio C. Gutiérrez-Vega
Journal Papers Opt. Lett. 39(7), 1929-1932 (2014)

Abstract

We show that the complex-amplitude cross-correlation function between two beams can be obtained by the global Stokes parameters. We apply this approach to determine the topological charge of a Laguerre-Gaussian (LG) beam by performing power measurements only. Additionally, we study the connection of the cross-correlation function with the degree of polarization for non-uniformly polarized beams, and we obtain closed-form expressions of the cross-correlation for LG vector modes and the generalized Full Poincaré beams.

Measurement of orbital angular momentum with an off-axis superposition of vector modes

Hipolito Garcia-Gracia, Benjamin Perez-Garcia, Dorilian Lopez-Mago, Raul I Hernandez-Aranda and Julio C Gutiérrez-Vega
Journal Papers J. Opt. 16, 045702 (2014)

Abstract

We propose an off-axis superposition of vector modes with orthogonal polarizations, constructed from a general scalar helical vortex mode with unknown topological charge m, as a method to measure its orbital angular momentum. We derived analytic expressions for sets of solutions to find lines of linear polarization (L lines) within the composite polarization field. We found that the solutions corresponding to the angular component of the composite field depend only on the displacement of the beams and the topological charge m, and they are invariant under propagation and changes in the relative amplitude and phase between the beams.

Scalar wave scattering in spherical cavity resonator with conical channels

Hipolito Garcia-Gracia and Julio C Gutiérrez-Vega
Journal Papers J. Opt. Soc. Am. A 31(2), 246-252 (2014)

Abstract

We study the scalar wave scattering off the spherical cavity resonator with two finite-length conical channels attached. We use the boundary wall method to explore the response of the system to changes in control parameters, such as the size of the structure and the angular width of the input and output channels, as well as their relative angular position. We found that the system is more sensitive to changes in the input channel, and a standing wave phase distribution occurs within the cavity for nontransmitting values of the incident wave number. We also saw that an optical vortex can travel unaffected through the system with aligned channels.

Generation of arbitrary complex quasi-non-diffracting optical patterns

Antonio Ortiz-Ambriz, Servando Lopez-Aguayo, Yaroslav V. Kartashov, Victor A. Vysloukh, Dmitri Petrov, Hipolito Garcia-Gracia, Julio C. Gutiérrez-Vega, and Lluis Torner
Journal Papers Opt. Express 21(19), 22221-22231 (2013)

Abstract

Due to their unique ability to maintain an intensity distribution upon propagation, non-diffracting light fields are used extensively in various areas of science, including optical tweezers, nonlinear optics and quantum optics, in applications where complex transverse field distributions are required. However, the number and type of rigorously non-diffracting beams is severely limited because their symmetry is dictated by one of the coordinate system where the Helmholtz equation governing beam propagation is separable. Here, we demonstrate a powerful technique that allows the generation of a rich variety of quasi-non-diffracting optical beams featuring nearly arbitrary intensity distributions in the transverse plane. These can be readily engineered via modifications of the angular spectrum of the beam in order to meet the requirements of particular applications. Such beams are not rigorously non-diffracting but they maintain their shape over large distances, which may be tuned by varying the width of the angular spectrum. We report the generation of unique spiral patterns and patterns involving arbitrary combinations of truncated harmonic, Bessel, Mathieu, or parabolic beams occupying different spatial domains. Optical trapping experiments illustrate the opto-mechanical properties of such beams.

Tunneling phenomena in the open elliptic quantum billiard

Hipolito Garcia-Gracia and Julio C. Gutiérrez-Vega
Journal Papers Phys. Rev. E 86, 016210 (2012)

Abstract

The study of open quantum billiards has gained popularity in the last decades, including different common and uncommon geometries such as the circular and stadium billiards. We present an extensive analysis of the elliptic quantum billiard with hyperbolic channels. We concentrate on the tunneling through an elliptic resonator-like structure. We analyze three different variations of the system: the first configuration has horizontal channels, then we study the system with vertical leads, and finally we displace both channels by the same angle to gain a more general perspective. We observed a very unusual phase distribution in the resonator cavity when there is no tunneling through the system.

Diffraction of plane waves by finite-radius spiral phase plates of integer and fractional topological charge

Hipolito Garcia-Gracia and Julio C. Gutiérrez-Vega
Journal Papers J. Opt. Soc. Am. A 26(4), 794-803 (2009)

Abstract

A detailed analysis of the plane-wave diffraction by a finite-radius circular spiral phase plate (SPP) with integer and fractional topological charge and with variable transmission coefficients inside and outside of the plate edge is presented. We characterize the effect of varying the transmission coefficients and the parameters of the SPP on the propagated field. The vortex structure for integer and fractional phase step of the SPPs with and without phase apodization at the plate edge is also analyzed. The consideration of the interference between the light crossing the SPP and the light that undergoes no phase alteration at the aperture plane reveals new and interesting phenomena associated to this classical problem.

Generation of Fourier-transform-limited heralded single photons

Alfred B. U'Ren, Yasser Jeronimo-Moreno, and Hipolito Garcia-Gracia
Journal Papers Phys. Rev. A 75, 023810 (2007)

Abstract

In this paper we study the spectral (temporal) properties of heralded single photon wave packets, triggered by the detection of an idler photon in the process of parametric down conversion. The generated single photons are studied within the framework of the chronocyclic Wigner function, from which the single photon spectral width and temporal duration can be computed. We derive specific conditions on the two-photon joint spectral amplitude which result in both pure and Fourier-transform-limited heralded single photons. Likewise, we present specific source geometries which lead to the fulfillment of these conditions and show that one of these geometries leads, for a given pump bandwidth, to the temporally shortest possible heralded single photon wave packets.

Electromagnetic scattering in the open elliptic quantum billiard

Hipolito Garcia-Gracia and Julio C. Gutiérrez-Vega
Conference Papers Proc. SPIE 8495, Reflection, Scattering, and Diffraction from Surfaces III, 849519 (2012)

Abstract

The study of open quantum billiards has gained popularity in the last decades, including different common and uncommon geometries such as the circular and stadium billiards. We study the electromagnetic scattering of a linearly polarized electric field in the elliptic quantum billiard with hyperbolic channels. We analyze the effect of different parameters on the scattering in a billiard configuration obtained by displacing both channels by the same angle. We observed that for the configuration proposed in this work the polarization of the electric field is conserved.

Diffraction of plane waves by apodized finite-radius spiral phase plates of integer and fractional topological charge

Hipolito Garcia-Gracia and Julio C. Gutiérrez-Vega
Conference Papers Proc. SPIE 7430, Laser Beam Shaping X, 74300D (2009)

Abstract

An analysis of the diffraction of plane waves by an apodized finite-radius circular spiral phase plate (SPP) with integer and fractional topological charge and with variable transmission coefficients inside and outside of the plate edge is presented. We introduce a sinusoidal apodization function at the edge of the plate to allow for a continuous transition between the transmission coefficients, and between the spiral and uniform phase distributions inside and outside of the plate edge. The interference between the light crossing the SPP and the light which undergoes no phase alteration at the aperture plane, and the presence of an apodization at the edge of the plate, cause some interesting phenomena previously unobserved in this widely known problem.

Conditional Preparation of Fourier Transform Limited Single Photon Wavepackets

Alfred B. U'Ren, Jose H. Garcia Gracia, and Yasser Jeronimo Moreno
Conference Papers Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2006), paper QWB7.

Abstract

We discuss the relationship between the joint intensity of parametric downconversion photon pairs and certain spectral (temporal) properties of the resulting heralded single photons, including purity and departure from the Fourier transform limit.

Currrent Teaching

  • Present 1995

    Preclinical Endodnotics

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

  • Present 2003

    SELC 8160 Molar Endodontic Selective

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

  • Present 2010

    Endodontics Postdoctoral AEGD Program

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

Teaching History

  • 1997 1995

    Preclinical Endodnotics

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

  • 2005 2003

    SELC 8160 Molar Endodontic Selective

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

  • 2011 2010

    Endodontics Postdoctoral AEGD Program

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

  • 2011 2010

    Endodontics Postdoctoral AEGD Program

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

  • 2011 2010

    Endodontics Postdoctoral AEGD Program

    Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed ultrices ac elit sit amet porttitor. Suspendisse congue, erat vulputate pharetra mollis, est eros fermentum nibh, vitae rhoncus est arcu vitae elit.

At My Office

You can find me at my office located at Tecnológico de Monterrey, in the Optics Center, office A2-107.

I am at my office every day from 8:00 until 5:30 pm, but it would be better if you call to set up an appointment.

At The Lab

You can also locate me at the Optics Lab located at Tecnológico de Monterrey, in the Optics Center, office A2-104.