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  1. Trifolium Rose as an Analytic Four-Body Choreography

    Article • Communications on Applied Mathematics and Computation, July 2026, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  2. N-body choreographies on a p-limaçon curve

    Article • Journal of Differential Equations, February 2026, Elsevier

    Dr Manuel Fernandez-Guasti

  3. Quantum phase: A different approach

    Article • International Journal of Modern Physics B, December 2025, World Scientific Pub Co Pte Lt

    Dr Manuel Fernandez-Guasti

  4. Analytic Five-Body Gerono Lemniscata Choreography

    Article • Journal of Mathematical Sciences and Modelling, November 2025, Journal of Mathematical Sciences and Modelling

    Dr Manuel Fernandez-Guasti

  5. The Poynting energy content and decomposition of structured EM waves

    Article • Journal of Physics A Mathematical and Theoretical, October 2025, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  6. Orthogonal HL states and extrema method for the polarization evaluation

    Article • Optics Communications, March 2025, Elsevier

    Dr Manuel Fernandez-Guasti

  7. Analytic four-body limaçon choreography

    Article • Celestial Mechanics and Dynamical Astronomy, January 2025, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  8. Cusfera, cápsula de tiempo

    Article • January 2025, Universidad Autonoma Metropolitana

    Dr Manuel Fernandez-Guasti

  9. Time division interferometer setups

    Article • Journal of Optics, September 2024, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  10. Solutions to second order polynomials with real coefficients in scator algebra

    Article • January 2024, Authorea, Inc.

    Dr Manuel Fernandez-Guasti

  11. Imaginary scators quadratic mapping in 1+2D dynamic space

    Article • Communications in Nonlinear Science and Numerical Simulation, October 2023, Elsevier

    Dr Manuel Fernandez-Guasti

  12. Vector wave solutions in electrodynamics: the Heaviside-Larmor symmetry and tiered potential invariance

    Article • Physica Scripta, September 2023, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  13. Multiplicity of Scator Roots and the Square Roots in $\mathbb{S}^{1+2}$

    Article • Journal of New Theory, March 2023, International Journal of Turkish Education Sciences, Gaziosmanpasa University

    Dr Manuel Fernandez-Guasti

  14. Energy exchange in the dissipative time-dependent harmonic oscillator: Physical interpretation of the Ermakov invariant

    Article • Pramana, November 2022, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  15. The quantum uncertainty between position and momentum is demystified.

    Article • Physics Letters A, October 2022, Elsevier

    Dr Manuel Fernandez-Guasti

  16. Time and Space Resolved First Order Optical Interference Between Distinguishable Photon Paths

    Article • Frontiers in Physics, January 2022, Frontiers

    Dr Manuel Fernandez-Guasti

  17. Roots of Elliptic Scator Numbers

    Article • Axioms, November 2021, MDPI AG

    Dr Manuel Fernandez-Guasti

  18. Powers of Elliptic Scator Numbers

    Article • Axioms, October 2021, MDPI AG

    Dr Manuel Fernandez-Guasti

  19. Roots of Second Order Polynomials with Real Coefficients in Elliptic Scator Algebra

    Article • Journal of New Theory, September 2021, International Journal of Turkish Education Sciences, Gaziosmanpasa University

    Dr Manuel Fernandez-Guasti

  20. Tiered structure and symmetry of the electromagnetic equations

    Article • Journal of Modern Optics, September 2021, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  21. Powers of Elliptic Scator Numbers

    Article • August 2021, MDPI AG

    Dr Manuel Fernandez-Guasti

  22. COVID-19 dynamical evolution prediction in Mexico, decision making and social implementation: mid/low income countries study

    Article • Technium Romanian Journal of Applied Sciences and Technology, October 2020, Technium Science

    Dr Manuel Fernandez-Guasti

  23. COVID-19 dynamical evolution prediction in Mexico, decision making and social implementation: mid/low income countries study

    Article • August 2020, FapUNIFESP (SciELO)

    Dr Manuel Fernandez-Guasti

  24. Energy density and flow distribution in a vibrating string

    Article • SN Applied Sciences, July 2020, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  25. Composition of velocities and momentum transformations in a scator-deformed Lorentz metric

    Article • The European Physical Journal Plus, July 2020, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  26. Components exponential scator holomorphic function

    Article • Mathematical Methods in the Applied Sciences, December 2019, Wiley

    Dr Manuel Fernandez-Guasti

  27. Solution to the Time-Dependent Coupled Harmonic Oscillators Hamiltonian with Arbitrary Interactions

    Article • Quantum Reports, July 2019, MDPI AG

    Dr Manuel Fernandez-Guasti

  28. Chirality, helicity and the rotational content of electromagnetic fields

    Article • Physics Letters A, July 2019, Elsevier

    Dr Manuel Fernandez-Guasti

  29. Helicity continuity equation for electromagnetic fields with sources

    Article • Journal of Modern Optics, May 2019, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  30. Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes

    Article • Advances in Mathematical Physics, May 2019, Hindawi Publishing Corporation

    Dr Manuel Fernandez-Guasti

  31. Fabry-Perot etalon solved by an amplitude and phase approach

    Article • Optik, March 2019, Elsevier

    Dr Manuel Fernandez-Guasti

  32. Energy content in linear mechanical systems with arbitrary time dependence

    Article • Physics Letters A, September 2018, Elsevier

    Dr Manuel Fernandez-Guasti

  33. Product associativity in scator algebras and the quantum wave function collapse

    Article • Universal Journal of Mathematics and Applications, June 2018, Universal Journal of Mathematics and Applications

    Dr Manuel Fernandez-Guasti

  34. Squdel Function: Square Wave Approximation Without Ringing

    Article • Circuits Systems and Signal Processing, June 2018, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  35. Differential quotients in elliptic scator algebra

    Article • Mathematical Methods in the Applied Sciences, May 2018, Wiley

    Dr Manuel Fernandez-Guasti

  36. Imaginary Scators Bound Set Under the Iterated Quadratic Mapping in 1 + 2 Dimensional Parameter Space

    Article • International Journal of Bifurcation and Chaos, January 2016, World Scientific Pub Co Pte Lt

    Dr Manuel Fernandez-Guasti

  37. Erratum to: A Non-distributive Extension of Complex Numbers to Higher Dimensions

    Article • Advances in Applied Clifford Algebras, October 2015, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  38. Propagation of light in stratified media is tackled with the amplitude and phase approach.

    Article • Journal of Modern Optics, October 2015, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  39. Photonic crystal with triangular stack profile

    Article • Optics Communications, July 2015, Elsevier

    Dr Manuel Fernandez-Guasti

  40. FRACTALS WITH HYPERBOLIC SCATORS IN 1 + 2 DIMENSIONS

    Article • Fractals, June 2015, World Scientific Pub Co Pte Lt

    Dr Manuel Fernandez-Guasti

  41. A Non-distributive Extension of Complex Numbers to Higher Dimensions

    Article • Advances in Applied Clifford Algebras, April 2015, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  42. Analytical solution to a non-autonomous second order differential equation with modified hyperbolic tangent function

    Article • Journal of Optics, February 2015, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  43. Dielectric interfaces and mirrors in the amplitude and phase representation

    Article • Journal of Modern Optics, November 2014, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  44. Time and space transformations in a scator deformed Lorentz metric

    Article • The European Physical Journal Plus, September 2014, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  45. Hyperbolic Superluminal Scator Algebra

    Article • Advances in Applied Clifford Algebras, August 2014, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  46. An Intrinsically Three-Dimensional Fractal

    Article • International Journal of Bifurcation and Chaos, June 2014, World Scientific Pub Co Pte Lt

    Dr Manuel Fernandez-Guasti

  47. Multiplicative Representation of a Hyperbolic non Distributive Algebra

    Article • Advances in Applied Clifford Algebras, February 2014, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  48. Reflection coefficient due to a discontinuity in thenth order derivative of the refractive index

    Article • Journal of Optics, December 2013, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  49. An Elliptic Non Distributive Algebra

    Article • Advances in Applied Clifford Algebras, June 2013, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  50. Phase change of light reflected by a discontinuity in the derivatives of the refractive index

    Article • Optics Communications, May 2013, Elsevier

    Dr Manuel Fernandez-Guasti

  51. A Hyperbolic Non Distributive Algebra in 1 + 2 Dimensions

    Article • Advances in Applied Clifford Algebras, April 2013, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti

  52. Generalized Snell’s refraction angle relationship

    Article • Optica Pura y Aplicada, September 2012, Sociedad Española de Optica

    Dr Manuel Fernandez-Guasti

  53. Reflectivity of a disordered monolayer estimated by graded refractive index and scattering models

    Article • Journal of the Optical Society of America A, August 2012, Optical Society of America (OSA)

    Dr Manuel Fernandez-Guasti

  54. Composition of physical quantities in one dimension: Group-theoretic differentiable functions

    Article • American Journal of Physics, October 2011, American Association of Physics Teachers (AAPT)

    Dr Manuel Fernandez-Guasti

  55. Alternative realization for the composition of relativistic velocities

    Article • September 2011, SPIE

    Dr Manuel Fernandez-Guasti

  56. Coherence and frequency spectrum of a Nd:YAG laser: generation and observation devices

    Article • September 2011, SPIE

    Dr Manuel Fernandez-Guasti, Chandrasekhar Roychoudhuri

  57. Physical processes behind a Ti:Sa femtosecond oscillator

    Article • September 2011, SPIE

    Dr Manuel Fernandez-Guasti, Chandrasekhar Roychoudhuri

  58. The necessity of two fields in wave phenomena

    Article • September 2011, SPIE

    Dr Manuel Fernandez-Guasti

  59. Reflected wave atypical phase change at a boundary

    Article • August 2011, SPIE

    Dr Manuel Fernandez-Guasti

  60. Photonic crystal slab with layered elements

    Article • August 2011, SPIE

    Dr Manuel Fernandez-Guasti

  61. Xochicalco: Tlayohualchieliztli or camera obscura

    Article • August 2011, SPIE

    Dr Manuel Fernandez-Guasti

  62. Motion of a charge in a time varying electromagnetic field

    Article • January 2010, American Institute of Physics

    Dr Manuel Fernandez-Guasti

  63. Laser induced microstructuring of silicon under different atmospheres

    Article • Radiation Effects and Defects in Solids, August 2009, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  64. Optical realization of quantum-mechanical invariants

    Article • Optics Letters, April 2009, Optical Society of America (OSA)

    Dr Manuel Fernandez-Guasti

  65. Light propagation in 1D inhomogeneous deterministic media: the effect of discontinuities

    Article • Journal of Optics A Pure and Applied Optics, February 2009, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  66. How to obtain the Lorentz space contraction formula for a moving rod from knowledge of the positions of its ends at different times

    Article • European Journal of Physics, January 2009, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  67. Attainable conditions and exact invariant for the time-dependent harmonic oscillator

    Article • Journal of Physics A General Physics, September 2006, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  68. Indeterminacy of amplitude and phase variables in classical dynamical systems: The harmonic oscillator

    Article • EPL (Europhysics Letters), June 2006, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  69. Measuring the contour of a wavefront using the Irradiance Transport Equation (ITE)

    Article • January 2006, SPIE

    Dr Manuel Fernandez-Guasti

  70. IR and UV laser-induced morphological changes in silicon surface under oxygen atmosphere

    Article • physica status solidi c, August 2005, Wiley

    Dr Manuel Fernandez-Guasti

  71. LCD pixel shape and far-field diffraction patterns

    Article • Optik, July 2005, Elsevier

    Dr Manuel Fernandez-Guasti

  72. Blending two major techniques in order to compute π

    Article • International Journal of Mathematical Education in Science and Technology, January 2005, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  73. Morphology of IR and UV Laser-induced Structural Changes on Silicon Surfaces

    Article • January 2005, American Institute of Physics

    Dr Manuel Fernandez-Guasti

  74. Complementary fields conservation equation derived from the scalar wave equation

    Article • Journal of Physics A General Physics, March 2004, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  75. Analytic approximation to the harmonic oscillator equation with a sub-period time dependent parameter

    Article • Physica D Nonlinear Phenomena, March 2004, Elsevier

    Dr Manuel Fernandez-Guasti

  76. Image reconstruction via phase conjugation in amorphous chalcogenide thin films

    Article • Optics Communications, June 2003, Elsevier

    Dr Manuel Fernandez-Guasti

  77. Coherent states for the time dependent harmonic oscillator: the step function

    Article • Physics Letters A, May 2003, Elsevier

    Dr Manuel Fernandez-Guasti

  78. Solution of the Schr dinger equation for time-dependent 1D harmonic oscillators using the orthogonal functions invariant

    Article • Journal of Physics A General Physics, February 2003, Institute of Physics Publishing

    Dr Manuel Fernandez-Guasti

  79. Spectroscopic studies of two perpendicularly interacting carbon plasmas generated by laser ablation

    Article • Applied Surface Science, September 2002, Elsevier

    Dr Manuel Fernandez-Guasti

  80. Orthogonal functions invariant for the time-dependent harmonic oscillator

    Article • Physics Letters A, January 2002, Elsevier

    Dr Manuel Fernandez-Guasti

  81. Thickness dependence of the phase conjugate signal of amorphous selenium thin films

    Article • Optics Communications, August 1995, Elsevier

    Dr Manuel Fernandez-Guasti

  82. Pulsed-laser deposition of selenium

    Article • Journal of Materials Science, January 1995, Springer Science + Business Media

    Dr Manuel Fernandez-Guasti, Professor Ernesto Jimenez Villar

  83. Anomalous conical emission in calcium vapour

    Article • Optics Communications, June 1994, Elsevier

    Dr Manuel Fernandez-Guasti

  84. Phase conjugation and spatial grating formation in amorphous chalcogenide thin films

    Article • Physica A Statistical Mechanics and its Applications, June 1994, Elsevier

    Dr Manuel Fernandez-Guasti

  85. Anomalous conical emission: Two-beam experiments

    Article • Physical Review A, January 1994, American Physical Society (APS)

    Dr Manuel Fernandez-Guasti

  86. Diffraction Pattern of a Circle/square Aperture

    Article • Journal of Modern Optics, June 1993, Taylor & Francis

    Dr Manuel Fernandez-Guasti

  87. Phase conjugation in amorphous germanium diselenide thin films

    Article • Applied Physics Letters, March 1991, American Institute of Physics

    Dr Manuel Fernandez-Guasti

  88. Preparation and characterization of amorphous GeSe2 films

    Article • Materials Science and Engineering B, April 1990, Elsevier

    Dr Manuel Fernandez-Guasti

  89. Optical bistability in bulk GeSe2

    Article • Optics Communications, February 1989, Elsevier

    Dr Manuel Fernandez-Guasti

  90. Propagation of rays in a duct with a radially variable refractive index: First integral solutions for gaussian profiles

    Article • Optics Communications, December 1988, Elsevier

    Dr Manuel Fernandez-Guasti