@article{Fernandezguasti88, author = {M. Fernández-Guasti and R. Cudney Bueno}, title = {Mesa holográfica estable a un costo mínimo}, journal = {Rev. Mex. Fís.}, year = 1988, volume = 33, number = 4, pages = {631–639}, address = {México}, lockkey = {N}, owner = {mfg}, url = {http://148.206.32.135/mfg/arti/88-89/mesaholo_rmf88.pdf} }

@article{Fernandezguasti88a, author = {M. Fernández-Guasti and A. Gil-Villegas}, title = {Propagation of rays in a duct with a radially variable refractive index: first integral solutions for Gaussian profiles}, journal = {Opt. Comm.}, year = 1988, volume = 69, number = 2, pages = {105–107}, lockkey = {N}, owner = {mfg}, url = {http://148.206.32.135/mfg/arti/88-89/prop_oc88.pdf} }

@article{Haro89, author = {E. Haro-Poniatowski and M. Fernández-Guasti and E.R. Méndez and M. Balkanski}, title = {Optical Bistability in bulk GeSe2}, journal = {Opt. Comm.}, year = 1989, volume = 70, number = 1, pages = {70–72}, lockkey = {N}, owner = {mfg}, url = {http://148.206.32.135/mfg/arti/88-89/bis_oc89.pdf} }

@article{Fernandezguasti89, author = {M. Fernández-Guasti and D. Iturbe Castillo and A. Silva-Pérez and A. Gil-Villegas and H. González Torres and R. López Guerrero.}, title = {Fabricación de hologramas con un láser sintonizable pulsado}, journal = {Rev. Mex. Fís.}, year = 1989, volume = 35, number = 3, pages = {410–417}, address = {México}, lockkey = {N}, owner = {mfg}, url = {http://148.206.32.135/mfg/arti/88-89/fabholo_rmf89.pdf} }

@article{Haro90, author = {E. Haro-Poniatowski and M. Fernández-Guasti and H. Márquez and E.R. Méndez and M. Eddrief}, title = {Preparation and characterization of amorphous GeSe2 films}, journal = {Mat. Sci. Eng.}, year = 1990, volume = 5, pages = {423–426}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti90, author = {M. Fernández-Guasti and R. Rangel Rojo}, title = {Diseño y construcción de láseres de pigmento}, journal = {Rev. Mex. Fís.}, year = 1990, volume = 36, number = 1, pages = {118–130}, address = {México}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti91, author = {M. Fernández-Guasti and E. Haro-Poniatowski and S. Camacho López}, title = {Phase conjugation in amorphous germanium diselenide thin films}, journal = {Appl. Phys. Lett.}, year = 1991, volume = 58, number = 11, pages = {1137–1139}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti91a, author = {M. Fernández-Guasti and R. Rangel Rojo and M. Yamada}, title = {Generación de segundo armónico en ADP con un láser de pigmento sintonizable en el rango de 285nm a 300nm}, journal = {Rev. Mex. Fís.}, year = 1991, volume = 37, number = 2, pages = {309–320}, address = {México}, lockkey = {N}, owner = {mfg} }

@article{Escobar92, author = {L. Escobar-Alarcón and M. Fernández-Guasti}, title = {Técnicas de blanqueado de emulsiones holográficas}, journal = {Rev. Mex. Fís.}, year = 1992, volume = 38, number = 3, pages = {464–477}, address = {México}, lockkey = {N}, owner = {mfg} }

@article{Haro92, author = {E. Haro-Poniatowski and M. Fernández-Guasti and S. Camacho López}, title = {Phase conjugation in amorphous selenium thin films}, journal = {Optics Lett.}, year = 1992, volume = 17, number = 4, pages = {p.252–254}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti92a, author = {M. Fernández-Guasti and A. Silva-Pérez and D. Iturbe Castillo and E. Haro-Poniatowski and L. Escobar-Alarcón and P. Habichayn Polloni and A. García García and R. Cudney Bueno and C. García Guerrero and E. González Avalos}, title = {Diseño y construcción de láseres de nitrógeno molecular}, journal = {Rev. Mex. Fís.}, year = 1992, volume = 38, number = 4, pages = {588–610}, address = {México}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti92, author = {M. Fernández-Guasti}, title = {Analytic geometry of some rectilinear figures}, journal = {Int. Jour. of Math. Ed. in Sci. \& Tech.}, year = 1992, volume = 23, number = 6, pages = {895–901}, address = {UK}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti92b, author = {M. Fernández-Guasti and E. Haro-Poniatowski and S. Camacho López}, title = {Laser induced diffraction patterns in germanium diselenide amorphous films}, journal = {Appl. Optics}, year = 1992, volume = 31, number = 18, pages = {3453–3459}, url = {http://148.206.32.135/mfg/arti/90-99/diffpat_apop92.pdf}, abstract = {We report the characterization of changes produced on germanium diselenide amorphous semiconductor thin films by a focused He-Ne laser beam. The diffraction pattern produced by the laser spot on the sample is studied as a function of the intensity and the irradiation time. At low intensities the state of polarization of the incident beam generates an asymmetry in the induced diffraction pattern. Moreover, if the polarization of the incident beam is rotated, the corresponding asymmetry rotates as well. These results show the difference between thermal and electromagnetic effects on the material. This system may be used as a high density recording medium.}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti93, author = {M. Fernández-Guasti and M. De La Cruz Heredia}, title = {Diffraction pattern of a circle/square aperture}, journal = {Journal of Modern Optics}, year = 1993, volume = 40, number = 6, pages = {1073–1080}, lockkey = {N}, owner = {mfg} }

@article{Iturbe93, author = {D. Iturbe-Castillo and M. Fernández-Guasti and J.J. Sánchez Mondragón}, title = {Láser de pigmento con retroalimentación distribuida: generación de pulsos ópticos de hasta 74 ps}, journal = {Rev. Mex. Fís.}, year = 1993, volume = 39, number = 2, pages = {214–228}, address = {México}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti94, author = {M. Fernández-Guasti and J. L. Hernández-Pozos and E. Haro-Poniatowski and L. A. Julio Sánchez}, title = {Anomalous Conical Emission in Calcium Vapour}, journal = {Optics Comm.}, year = 1994, volume = 108, pages = {367–376}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti94a, author = {M. Fernández-Guasti and J. L. Hernández-Pozos and E. Haro-Poniatowski and L. A. Julio Sánchez}, title = {Anomalous Conical Emission: Two-beam Experiments}, journal = {Phys. Rev. A}, year = 1994, volume = 49, number = 1, pages = {613–615}, url = {http://148.206.32.135/mfg/arti/90-99/ace_pra94.pdf}, lockkey = {N}, owner = {mfg} }

@article{Haro94, author = {E. Haro-Poniatowski and M. Fernández-Guasti and S. Camacho López and F. Ruiz}, title = {Phase Conjugation and Spatial Grating Formation in Amorphous Selenium}, journal = {Physica A}, year = 1994, volume = 207, pages = {329–333}, lockkey = {N}, owner = {mfg} }

@article{Ponce94, author = {L. Ponce and M. Fernández-Guasti and E. Jiménez and E. Haro-Poniatowski}, title = {Obtención de capas delgadas por ablación láser}, journal = {Revista Mexicana de Física}, year = 1994, volume = 40, number = 4, pages = {798–804}, lockkey = {N}, owner = {mfg} }

@article{Haro95, author = {E. Haro-Poniatowski and M. Fernández-Guasti and S. Camacho López and A. Gil-Villegas and J. González Hernández}, title = {Thickness Dependence of the Phase Conjugate Signal of Amorphous Selenium Thin Films}, journal = {Optics Communications}, year = 1995, volume = 119, pages = {154–158}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti95a, author = {M. Fernández-Guasti and E. Haro-Poniatowski and R. Diamant and L. Ponce and E. Jiménez}, title = {Pulsed Laser Deposition of Selenium}, journal = {Journal of Materials Science}, year = 1995, volume = 30, pages = {6253–6256}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti95, author = {M. Fernández-Guasti and A. Cornejo-Rodríguez}, title = {Analytical study of the Optical Parameters for a Multiple Path Telescope}, journal = {Applied Optics}, year = 1995, volume = 34, number = 16, pages = {2908–2913}, url = {http://148.206.32.135/mfg/arti/90-99/tel_apop95.pdf}, abstract = {A reﬂecting telescope arrangement is proposed in which the focal distance of the objective system is greatly enhanced without increasing the overall length of the structure. The underlying idea is to use a multiply folded optical path. This setup may be viewed as a partially periodic optical system. For small departures of the mirror confocality, analytic results in the paraxial approximation are obtained.}, lockkey = {N}, owner = {mfg} }

@article{Flores97, author = {J. Castro Flores and S. Vázquez Montiel and A. Cornejo-Rodríguez and M. Fernández-Guasti}, title = {Multiple path telescope : Third Order Design}, journal = {Applied Optics}, year = 1997, volume = 36, pages = {6399–6402}, url = {http://148.206.32.135/mfg/arti/90-99/tel3_apop97.pdf}, lockkey = {N}, owner = {mfg} }

@article{Alonso97, author = {J.C. Alonso and R. Diamant and E. Haro-Poniatowski and M. Fernández-Guasti and G. Muñoz and I. Camarillo and M. Jouanne and J. F. Morhange}, title = {Raman Characterization of Bi12SiO20 thin films obtained by pulsed laser deposition}, journal = {Applied Surface Science}, year = 1997, volume = 109, pages = {359–361}, lockkey = {N}, owner = {mfg} }

@article{Alonso97a, author = {J.C. Alonso and E. Haro-Poniatowski and R. Diamant and M. Fernández-Guasti and M. García}, title = {Photo luminescent Thin Films of Terbium Chloride doped Yttrium Oxide Deposited by the Pulsed Laser Ablation technique}, journal = {Thin Solid Films}, year = 1997, volume = 303, pages = {76–83}, lockkey = {N}, owner = {mfg} }

@article{Flores98, author = {T. Flores and L. Ponce and B. Moreno and M. Arronte and M. Fernández-Guasti and C. García}, title = {Nd :YAG laser in art works restoration}, journal = {Rev. Metal. Madrid}, year = 1998, volume = 34, pages = {98–100}, address = {2}, lockkey = {N}, owner = {mfg} }

@article{Diamant98, author = {R. Diamant and L. Ponce and M. Fernández-Guasti and E. Jiménez}, title = {Plasma Dynamics and its relationship with thin film properties of PLD CdTe via Pulsed Laser Deposition}, journal = {Applied Physics B}, year = 1998, volume = 66, number = 5, pages = {639–643}, lockkey = {N}, owner = {mfg} }

@article{Haro98, author = {E. Haro-Poniatowski and M. Jouanne and J. F. Morhange and C. Julien and R. Diamant and M. Fernández-Guasti and G. A. Fuentes and J. C. Alonso}, title = {MicroRaman characterization of WO3 and MoO3 thin films obtained by pulsed laser irradiation}, journal = {Applied Surface Science}, year = 1998, volume = 127, pages = {674–678}, lockkey = {N}, owner = {mfg} }

@article{Arrieta99, author = {A. Arrieta and S. Mera and R. Diamant and M. Fernández-Guasti and R. Sosa and L. Escobar-Alarcón and A. F. Muñoz and E. Haro-Poniatowski}, title = {Synthesis and characterization of sodium chloride thin films obtained by pulsed laser deposition}, journal = {Applied Physics A}, year = 1999, volume = 69, pages = {S491–S493}, url = {http://148.206.32.135/mfg/arti/90-99/nacl_APA99.pdf}, abstract = {Sodium chloride thin ﬁlms were synthesized by pulsed laser ablation from monocrystalline and sintered targets. The structure of the ﬁlms is characterized by X-ray diffraction and their surface quality is characterized by scanning electron microscopy. From thermoluminescence spectra, two different types of defects are identiﬁed as cation vacancies and chlorine interstitials. This thermoluminescence in the UV-visible has been observed by heating the samples up to 600 K.}, address = {Springer Verlag}, lockkey = {N}, owner = {mfg} }

@article{Diamant99, author = {R. Diamant and E. Jiménez and E. Haro-Poniatowski and L. Ponce and M. Fernández-Guasti and J.C. Alonso}, title = {Plasma dynamics inferred from the optical emission spectra during diamond-like thin film pulsed laser deposition}, journal = {Diamond and Related Materials}, year = 1999, volume = 8, pages = {1277–1284}, lockkey = {N}, owner = {mfg} }

@article{Escobar99, author = {L. Escobar-Alarcón and E. Haro-Poniatowski and M.A. Camacho-López and M. Fernández-Guasti and J. Jiménez-Jarquín and A. Sánchez-Pineda}, title = {Growth of rutile TiO2 thin films laser ablation}, journal = {Surface Engineering}, year = 1999, volume = 15, number = 5, pages = {411–414}, lockkey = {N}, owner = {mfg} }

@article{Escobar99b, author = {L. Escobar-Alarcón and M. Villagrán and E. Haro-Poniatowski and J.C. Alonso and M. Fernández-Guasti and E. Camps}, title = {Thin film deposition of transparent materials by rear side laser ablation: a novel configuration}, journal = {Applied Physics A}, year = 1999, volume = 69, pages = {S583–S586}, lockkey = {N}, owner = {mfg}, publisher = {Springer Verlag} }

@article{Escobar99c, author = {L. Escobar-Alarcón and E. Haro-Poniatowski and M. Fernández-Guasti and A. Perea and C.N. Afonso and T. Falcón}, title = {Strutctural and optical properties of Bi12SiO20 thin films obtained by pulsed laser deposition}, journal = {Applied Physics A}, year = 1999, volume = 69, pages = {S949–S952}, lockkey = {N}, owner = {mfg}, publisher = {Springer Verlag} }

@article{Escobar99a, author = {L. Escobar-Alarcón and E. Haro-Poniatowski and M.A. Camacho-López and M. Fernández-Guasti and J. Jiménez-Jarquín and A. Sánchez-Pineda}, title = {Structural characterization of TiO2 thin films obtained by pulsed laser deposition}, journal = {Applied Surface Science}, year = 1999, volume = 137, pages = {38–44}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti00, author = {M. Fernández-Guasti and A. Gil-Villegas and R. Diamant}, title = {Ermakov equation arising from electromagnetic fields propagating in 1D}, journal = {Revista Mexicana de Física}, year = 2000, volume = 46, pages = {530–535}, url = {http://148.206.32.135/mfg/arti/00-05/erm_rmf00.pdf}, abstract = {La ecuación de Ermakov se obtiene de las ecuaciones de Maxwell para un medio inhomogéneo transparente en una dimensión. Se discuten las propiedades generales y los invariantes asociados de esta ecuación. Se presentan resultados numéricos para cambios en el índice de refracción en el rango de la longitud de onda.}, address = {6}, localfile = {/home/mfg/acad/inv/em/pre/publi/rmf/Erm-eq 1D final.lyx}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti01, author = {M. Fernández-Guasti}, title = {El teorema de Poynting para campos complejos}, journal = {Revista Mexicana de Física}, year = 2001, volume = 47, pages = {105–106}, url = {http://148.206.32.135/mfg/arti/00-05/poy_rmf01.pdf}, abstract = {Se presenta la derivación del teorema de poynting utilizando una representación compleja de los campos electromagnéticos. En esta reformulación se obtiene cabalmente la forma funcional de una ecuación de continuidad. Este resultado no requiere que los campos armónicos sean trenes de onda infinitos de manera que con este formalismo es posible abordar el caso de pulsos electromagnéticos. La definición del vector de Poynting para campos complejos se reduce a la definición convencional si los campos son reales sin involucrar un factor de 1/2 adicional.}, address = {2}, localfile = {/home/mfg/acad/inv/em/conven/poynting-rmf.tex}, lockkey = {N}, owner = {mfg} }

@article{Camps02, author = {E. Camps and L. Escobar-Alarcón and E. Haro-Poniatowski and M. Fernández-Guasti}, title = {Spectroscopic studies of two perpendicularly interacting carbon plasmas generated by laser ablation}, journal = {Appl. Surface Science}, year = 2002, volume = 197, pages = {239–245.}, url = {http://148.206.32.135/mfg/arti/00-05/pp_ass02.pdf}, abstract = {The interaction of two plasmas generated by laser ablation from two perpendicular carbon (graphite, 99.99% purity) targets was analyzed by optical emission spectroscopy. The 1064 nm line of a Nd:YAG laser was used as energy source. Spatial and temporal measurements were performed. The covered spectral range was from 280 to 740 nm. Time of flight measurements were performed to determine the kinetic energies of different excited species. It was found that the excited species were more energetic; however, their lifetimes were shorter when the two plasmas were interacting. Carbon thin flms were deposited at different positions relative to the plasmas and subsequently characterized by scanning electron microscopy and Raman spectroscopy.}, localfile = {/home/mfg/acad/inv/exp/laser/abla/Two laser ablation plasmas.doc}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti02, author = {M. Fernández-Guasti and A. Gil-Villegas}, title = {Orthogonal functions invariant for the time dependent harmonic oscillator}, journal = {Physics Letters A}, year = 2002, volume = 292, pages = {243–245.}, url = {http://148.206.32.135/mfg/arti/00-05/orthfun_pla02.pdf}, abstract = {The Lewis invariant for the time dependent harmonic oscillator is derived using a polar complex representation of the solution. This derivation is shown to be equivalent to an invariant stemming from the linearly independent solutions. The physical meaning of the involved constants and the associated auxiliary equation are elucidated.}, address = {4-5}, localfile = {/home/mfg/acad/inv/em/equ/erm/pla/ofinv.lyx}, lockkey = {N}, owner = {mfg} }

@inproceedings{Fernandezguasti03d, author = {M. Fernández-Guasti and A. Gil-Villegas}, title = {Exact and adiabatic invariant for the time-dependent harmonic oscillator}, booktitle = {Developments in mathematical and experimental physics}, pages = {159–166}, year = 2003, editor = {F. Uribe E. Diaz {A. Macias}}, volume = {C}, series = {C: Hydrodynamics and dynamical systems}, publisher = {Kluwer academic}, url = {http://148.206.32.135/mfg/arti/00-05/orthfun_klu03.pdf}, abstract = {An invariant arising from the linearly independent solutions is evaluated for the time dependent harmonic oscillator equation. The relationship of this quantity with the Lewis invariant is established. The physical meaning of the procedure is stressed. In the adiabatic approximation, the proposed invariant turns into the well known relationship where the energy is proportional to the frequency.}, localfile = {/home/mfg/acad/inv/em/equ/erm/klu/orthfun8.tex}, owner = {mfg} }

@article{Moya03, author = {H. Moya-Cessa and M. Fernández-Guasti}, title = {Coherent states for the time dependent harmonic oscillator}, journal = {Physics Letters A}, year = 2003, volume = 311, pages = {1–5}, url = {http://148.206.32.135/mfg/arti/00-05/cohstat_pla03.pdf}, abstract = {We study the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency. It is based on an approximate analytic solution to the time dependent Ermakov equation for a step function. This approach allows for a continuous treatment that differs from former studies that involve the matching of two time independent solutions at the time when the step occurs.}, localfile = {/home/mfg/acad/inv/wm/qm/coher/tdcssf2.lyx}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti03b, author = {M. Fernández-Guasti and H. Moya-Cessa}, title = {Solution of the Schrödinger equation for time dependent 1D harmonic oscillators using the orthogonal functions invariant}, journal = {J. Phys. A: Math. Gen.}, year = 2003, volume = 36, number = 8, pages = {2069–2076}, url = {http://148.206.32.135/mfg/arti/00-05/solSchr_JPA03.pdf}, abstract = {An extension of the classical orthogonal functions invariant to the quantum domain is presented. This invariant is expressed in terms of the Hamiltonian. Unitary transformations which involve the auxiliary function of this quantum invariant are used to solve the time dependent Schrödinger equation for a harmonic oscillator with time dependent parameter. The solution thus obtained is in agreement with the results derived using other methods which invoke the Lewis invariant in their procedures.}, localfile = {/home/mfg/acad/inv/wm/qm/qmtdho/qmtdho.lyx}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti03a, author = {M. Fernández-Guasti and H. Moya-Cessa}, title = {Amplitude and phase representation of quantum invariants for the time dependent harmonic oscillator}, journal = {Physical Review A}, year = 2003, volume = 67, number = 063803, pages = {063803–1–5}, url = {http://148.206.32.135/mfg/arti/00-05/qmamph-pra03.pdf}, abstract = {The correspondence between classical and quantum invariants is established. The Ermakov Lewis quantum invariant of the time dependent harmonic oscillator is translated from the coordinate and momentum operators into amplitude and phase operators. In doing so, the Turski's phase operator as well as Susskind-Glogower operators are generalized to the time dependent harmonic oscillator case. A quantum derivation of the Manley-Rowe relations is shown as an example.}, localfile = {/home/mfg/acad/inv/wm/qm/amph-qmrep/amp-phase-op5.lyx}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti03c, author = {M. Fernández-Guasti and José Luis Jiménez and Fermín Granados Agustín and A. Cornejo-Rodríguez}, title = {Amplitude and phase representation of monochromatic fields in physical optics}, journal = {JOSA A}, year = 2003, volume = 20, number = 8, pages = {1629–1634.}, url = {http://148.206.32.135/mfg/arti/00-05/amph_josaa03.pdf}, abstract = {The conservation equation for a monochromatic field with arbitrary polarization propagating in an inhomogeneous transparent medium is expressed in terms of amplitude and phase variables. The expressions obtained for linearly polarized fields are compared with the results attained in the eikonal approximation. The electric field wave equation is written in terms of intensity and phase variables. The transport equations for the irradiance and the phase are shown to be particular cases of these derivations. The conservation equation arising from the second order differential wave equation is shown to be equivalent to that obtained from Poynting's Theorem.}, localfile = {/home/mfg/acad/inv/em/amph-rep/amphre3.lyx}, owner = {mfg} }

@article{Fernandezguasti03, author = {M. Fernández-Guasti and R. F. Alonso-Pinzón and E. Haro-Poniatowski}, title = {Image reconstruction via phase conjugation in amorphous chalcogenide thin films}, journal = {Optics Communications}, year = 2003, volume = 221, pages = {37–42}, url = {http://148.206.32.135/mfg/arti/00-05/pc_optc03.pdf}, abstract = {The shape and diffraction pattern of a LCD pixel used in a point diffraction interferometer is qualitatively evaluated using the experimental diffraction patterns of computer generated apertures. The diffraction patterns for apertures with contours between a circle and a square were numerically plotted from analytical expressions of these topological forms. The observed patterns are qualitatively in accordance with previous calculations of such apertures using scalar diffraction theory in the far field.}, localfile = {/home/mfg/acad/inv/em/circu/final/optika/difpix.tex}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti04, author = {M. Fernández-Guasti}, title = {Analytic approximation to the harmonic oscillator equation with a sub-period time dependent parameter}, journal = {Physica D: Nonlinear phenomena}, year = 2004, volume = 189, pages = {188–198}, file = {/home/mfg/acad/inv/mathph/tdho-sols/anal-sols/tdhosols3.lyx}, url = {http://148.206.32.135/mfg/arti/00-05/soltdho_phD04.pdf}, abstract = {Analytic solutions are presented for the time dependent harmonic oscillator equation as well as for the corresponding amplitude (Ermakov) and phase equations. The solutions are adequate approximations for an initially constant amplitude and a time dependent parameter that varies continuously in a time much shorter than the characteristic period. The amplitude and phase representation of the solution is shown not to be unique. The relationship between the phase independent amplitudes is derived from the orthogonal functions invariant.}, localfile = {/home/mfg/acad/inv/mathph/tdho-sols/anal-sols/tdhosols3.lyx}, owner = {mfg} }

@article{Fernandezguasti04a, author = {M. Fernández-Guasti}, title = {Complementary fields conservation equation derived from the scalar wave equation}, journal = {J. Phys. A: Math. Gen.}, year = 2004, volume = 37, pages = {4107–4121}, url = {http://148.206.32.135/mfg/arti/00-05/compfiswe_jpa04.pdf}, abstract = {A conservation equation for the scalar wave equation is derived from two linearly independent solutions. In the one dimensional limit the conservation equation yields a previously known invariant. The continuity equation derived for a complex disturbance is shown to yield an equivalent result. The obtention of the second independent solution is discussed using two different schemes that lead either to orthogonal trajectories or derivative fields. The complementary fields may be visualized as out of phase fields where a negative valued density is interpreted in terms of the leading or lagging field. These results are compared with the usual definition of energy density and flow for scalar waves. In the monochromatic plane wave case, the average of all the proposed densities and flows converge to the same result. The physical meaning of the different approaches is discussed.}, address = {UK}, localfile = {/home/mfg/acad/inv/wm/waves/complem/mfg-comp-cons-eq-paralyx.lyx}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti05, author = {M. Fernández-Guasti}, title = {Blending Two Major Techniques in Order to Compute pi}, journal = {International Journal of Mathematical Education in Science and Technology}, year = 2005, volume = 36, pages = {85–92}, url = {http://148.206.32.135/mfg/arti/00-05/pi_ijmest05.pdf}, abstract = {Three major techniques are employed to calculate $\pi$. Namely, i) the perimeter of polygons inscribed or circumscribed in a circle, ii) calculus based methods using integral representations of inverse trigonometric functions and iii) modular identities derived from the transformation theory of elliptic integrals. In this communication we present a combination of the first two procedures, which allows the derivation of a family of series that may exhibit very fast convergence rates. The geometrical interpretation gives good insight into the acceleration method that is being implemented.}, localfile = {/home/mfg/acad/inv/mathph/pi/article/ijmest/mfgpiser2.tex}, lockkey = {N}, owner = {mfg} }

@article{Fernandezguasti05a, author = {M. Fernández-Guasti and A. Meléndez Cobarrubias and F.J. Renero Carrillo and A. Cornejo-Rodríguez}, title = {LCD pixel shape and far field diffraction patterns}, journal = {Optik}, year = 2005, volume = 116, pages = {265–269}, url = {http://148.206.32.135/mfg/arti/00-05/lcdpix_optik05.pdf}, abstract = {The shape and diffraction pattern of a LCD pixel used in a point diffraction interferometer is qualitatively evaluated using the experimental diffraction patterns of computer generated apertures. The diffraction patterns for apertures with contours between a circle and a square were numerically plotted from analytical expressions of these topological forms. The observed patterns are qualitatively in accordance with previous calculations of such apertures using scalar diffraction theory in the far field.}, localfile = {/home/mfg/acad/inv/em/circu/final/optika/difpix.tex}, lockkey = {N}, owner = {mfg} }

@article{JimenezJarquin05, author = {J. Jiménez-Jarquín and M. Fernández-Guasti and E. Haro-Poniatowski and J. L. Hernández-Pozos}, title = {IR and UV laser-induced morphological changes in silicon surface under oxygen atmosphere}, journal = {physica status solidi (c)}, year = 2005, volume = 2, number = 10, pages = {3798 – 3801}, url = {http://148.206.32.135/mfg/arti/06-10/IRUVcones_phc05.pdf}, doi = {10.1002/pssc.200461773}, abstract = {We irradiated silicon (100) wafers with IR (1064 nm) and UV (355 nm) nanosecond laser pulses with energy densities within the ablation regime and used scanning electron microscopy to analyze the morphological changes induced on the Si surface. The changes in the wafer morphology depend both on the incident radiation wavelength and the environmental atmosphere. We have patterned Si surfaces with a single focused laser spot and, in doing the experiments with IR or UV this reveals significant differences in the initial surface cracking and pattern formation, however if the experiment is carried out in O2 the final result is an array of microcones. We also employed a random scanning technique to irradiate the silicon wafer over large areas, in this case the microstructure patterns consist of a “semi-ordered” array of micron sized cones.}, localfile = {/home/mfg/acad/dif/curri/arti/00-05/IRUVcones_phc05.pdf}, lockkey = {N}, publisher = {WILEY-VCH Verlag GmbH \& Co.} }

@article{Fernandezguasti06, author = {M. Fernández-Guasti}, title = {Indeterminacy of amplitude and phase variables in classical dynamical systems: the harmonic oscillator}, journal = {Europhysics Letters}, year = 2006, volume = 74, number = 6, pages = {1013–1019}, url = {http://148.206.32.135/mfg/arti/06-10/ampind_epl06.pdf}, abstract = {The amplitude and phase are shown to be variables that are not uniquely determined for the one dimensional time dependent harmonic oscillator equation. Even when the parameter is time independent, it is shown that the amplitude and frequency may be time dependent and the phase nonlinear with respect to time. The consequences of this indeterminacy in the energy and the orthogonal functions invariant are evaluated. The measurement of these quantities is discussed.}, localfile = {/home/mfg/acad/inv/wm/amph/indetph5-rev2-art.lyx}, lockkey = {N} }

@article{Vargas06, author = {J. M. Vargas-Martínez and H. Moya-Cessa and M. Fernández-Guasti}, title = {Normal and anti-normal ordered expressions for annihilation and creation operators}, journal = {Revista Mexicana de Física}, year = 2006, volume = 52, number = 1, pages = {13–16}, url = {http://148.206.32.135/mfg/arti/06-10/opord_rmf06.pdf}, abstract = {We give the normal order expression of the number operator to the power ``k'' by using the commutation relation between the annihilation and creation operators and show, by using a Mathematica program that gives the coefficients for such expression are the Stirling numbers of the second kind. We use then the difference operator in terms of the Stirling numbers of the second kind to write a function of the number operator in normal order.}, localfile = {/home/mfg/acad/inv/wm/qm/order/rmf-joma.tex}, lockkey = {N}, series = {E} }

@article{Fernandezguasti06a, author = {M. Fernández-Guasti}, title = {Attainable conditions and exact invariant for the time-dependent harmonic oscillator}, journal = {J. Phys. A: Math. Gen.}, year = 2006, volume = 39, pages = {11825–11832}, file = {/home/mfg/acad/inv/em/equ/conj/eq-conj9.lyx}, url = {http://148.206.32.135/mfg/arti/06-10/att_jpa06.pdf}, doi = {doi:10.1088/0305-4470/39/38/008}, abstract = {The time dependent oscillator equation is solved numerically for various trajectories in amplitude and phase variables. The solutions exhibit a finite time dependent parameter whenever the squared amplitude times the derivative of the phase is invariant. If the invariant relationship does not hold, the time dependent parameter has divergent singularities. These observations lead to the proposition that the harmonic oscillator equation with finite time dependent parameter must have amplitude and phase solutions fulfilling the invariant relationship. Since the time dependent parameter or the potential must be finite for any real oscillator implementation, the invariant must hold for any such physically realizable system.}, localfile = {/home/mfg/acad/ext/ref/mias/att_jpa06.pdf}, owner = {mfg} }

@inbook{Silva06, author = {A. Silva-Pérez and J.R. Godínez-Fernández and M. Fernández-Guasti and E. Haro-Poniatowski}, title = {Espectroscopía de fluorescencia inducida por láser en células}, publisher = {El Colegio Nacional}, year = 2006, editor = {Leopoldo García-Colín Scherer and Leonardo Dagdug and Pedro Miramontes and Arturo Rojo}, pages = {487–508}, url = {http://148.206.32.135/mfg/arti/06-10/Capitulo26.pdf}, booktitle = {La física biológica en México: Temas selectos}, lockkey = {N} }

@article{Moya-Cessa07, author = {H. Moya-Cessa and M. Fernández-Guasti}, title = {Time dependent quantum harmonic oscillator subject to a sudden change of mass: continuous solution}, journal = {Revista Mexicana de Física}, year = 2007, volume = {53}, number = 1, pages = {42–46}, file = {file:///home/mfg/acad/ext/ref/mias/pub/tdm-qmho_rmf07.pdf}, url = {http://148.206.32.135/mfg/arti/06-10/tdm-qmho_rmf07.pdf}, abstract = {We show that a harmonic oscillator subject to a sudden change of mass produces squeezed states. Our study is based on an approximate analytic solution to the time dependent harmonic oscillator equation with a subperiod function parameter. This continuous treatment differs from former studies that involve the matching of two time independent solutions at the discontinuity. This formalism requires an ad hoc transformation of the original differential equation and is also applicable for rapid, although not necessarily instantaneous, mass variations.}, localfile = {/home/mfg/acad/inv/wm/qm/var-mass/rmf-sub/masadet-rmf.lyx} }

@article{Fernandezguasti07, author = {M. Fernández-Guasti}, title = {Péndulo de longitud variable: experimentos}, journal = {Revista Mexicana de Física E}, year = 2007, volume = {53}, pages = {120–126}, url = {http://148.206.32.135/mfg/arti/06-10/rmf-pend07.pdf}, abstract = {Se estudia experimentalmente la evolución de un péndulo al variar su longitud. Se muestra que el invariante de funciones ortogonales bajo las condiciones apropiadas reproduce los límites abrupto y adiabático. Se muestran resultados experimentales tanto en estos límites como en casos intermedios que no han sido previamente reportados. Éste artículo esta dedicado a Don Juan de Oyarzábal en recuerdo de sus clases memorables de mecánica en la UAM-Iztapalapa durante 1975.}, localfile = {/home/mfg/acad/inv/exp/pend/pendulo8.tex} }

@inbook{Fernandezguasti07b, author = {M. Fernández-Guasti}, title = {Nonlinear Phenomena Research Perspectives}, chapter = {6 - The Nonlinear Amplitude Equation in Harmonic Phenomena}, publisher = {Nova Publishers}, year = 2007, pages = {177–223}, file = {/home/mfg/acad/inv/mathph/nonlin-phen-amp/rev2/nonlinear-phen-amp7pc.pdf}, url = {http://148.206.32.135/mfg/arti/06-10/nonlinear-phen-amp7pc.pdf}, abstract = {Oscillatory motion is exhibited in physical systems in a vast range of scales all-encompassing from molecular vibrations to celestial mechanics. Propagating wave phenomena are also encountered in many systems embracing man-made linear and non-linear devices used as information carriers, as well as a myriad of acoustical vibrations and electromagnetic phenomena observed in nature. The dynamic equilibrium between two forms of energy is shared by all these systems. Amplitude and phase categories provide a suitable conceptual and mathematical framework to describe these physical processes. Invariants arising from this formalism play a crucial role in the obtention of solutions and conserved quantities. The amplitude and phase representation of coordinate or disturbance variables in second order differential equations leads to an Ermakov pair of equations. Under appropriate circumstances these equations may be decoupled into a second order non linear differential equation for the amplitude and a third order nonlinear equation for the phase. Various results scattered in the literature will be presented here in a unified manner as well as several new developments in three broad areas, namely classical dynamical systems, quantum mechanics and electromagnetic propagation. Classical dynamical systems: The one dimensional time dependent harmonic oscillator is studied in detail. The Ermakov-Lewis invariant or a closely related orthogonal functions invariant is economically derived. The nonlinear superposition principle is revised. General solutions, given a particular solution, to the non linear amplitude and phase equations are presented. The analysis of these results lead to novel analytical solutions of the time dependent oscillator equation with a sub-period monotonic parameter. This procedure, as we shall demonstrate, seems promising for the development of analytical solutions with more general parameters. The indeterminacy of the amplitude and phase functions has been recently addressed and is further discussed in this paper. The relationship between exact invariants and previously known adiabatic invariants is evaluated. The orthogonal functions invariant is generalized to the quantum realm. The time dependent quantized quadratic Hamiltonian gives rise to two linear invariants that may be casted into a quadratic form. The time dependent Schrodinger equation with one spatial dimension is solved with this formalism. It is shown that in the time dependent case, the Ermakov-Lewis invariant plays the role that the Hamiltonian does in the time independent case. The invariant operator is expressed in terms of amplitude and phase operators. Squeezed and coherent states are simply dealt with unitary transformations that stem from the invariant form. The evolution of minimum uncertainty states are studied under an abrupt frequency or mass change. Wave propagation: The time dependent oscillator problem is shown to be formally equivalent to the electromagnetic propagation of monochromatic waves in one dimension. The nonlinear amplitude differential equation allows for an arbitrary refractive index variation. A hyperbolic tangent refractive index profile will be treated in detail. The orthogonal functions invariant translates into a conserved quantity for the 1+3 dimensional scalar wave equation. The assessed quantity and its associated flow can then be evaluated using different criteria. The important topic of phase retrieval from intensity measurements and the irradiance propagation equation is discussed. This formalism leads to radiometric quantities that differ for ultra-short pulses from the prevailing optical radiometric theory.}, isbn = {1-60021-520-3}, keywords = {math} }

@article{Fernandezguasti08, title = {The {W}ronskian and the {E}rmakov - {L}ewis invariant}, author = {M. Fernández-Guasti}, journal = {International Mathematical Forum}, year = {2009}, localfile = {/home/mfg/acad/dif/curri/arti/06-10/wro_IMF09.pdf}, pages = {795 – 804}, volume = {4}, number = {16} }

@article{Fernandezguasti08b, title = {How to obtain the {L}orentz space contraction formula for a moving rod from a knowledge of the positions of its ends at different times}, author = {M. Fernández-Guasti and C. Zagoya}, journal = {European Journal of Physics}, year = {in print} }

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