Accessibility Tools

Skip to main content
Perfil investigador
Esp
Dr. Manuel Fernández Guasti

Professor
Departament of Physics

Division of Basic Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Iztapalapa Campus

Return to list
New search




Sustainable Development Goals

• 7 Affordable and Clean Energy


Research interests

• Invariants
• Energy and momentum conservation
• Wave phenomena
• Coherent and ultrafast optics
• Scator algebra

Profile

Professor Manuel Fernández-Guasti is a physicist graduated from the first generation of the Universidad Autónoma Metropolitana (UAM), Iztapalapa Campus. He completed his doctorate in nonlinear optical phenomena at the Clarendon Laboratory; he was a member of the Christ Church College, Oxford, England. Upon his return to Mexico, he founded the Quantum Optics Laboratory in his alma mater where he currently works. He has been on sabbatical leave at Havana, Cuba (1993), Tonantzintla, Puebla (2002), Paris, France (2004), and UNAM, Mexico (2017).

He has promoted a balanced theoretical and experimental comprehensive training so that these two categories are diluted in a continuum. His interest has focused on some fundamental paradigms of physics: invariants and their relation to energy, ultra-brief optical phenomena, algebraic systems appropriate to describe time-space.

He has collaborated in the design and construction of lasers such as molecular Nitrogen, organic dyes, and Nd: YAG as well as holographic tables. He proposed the optical design of partially periodic instruments, work that led to a patent. He has promoted a close duality between fundamental and applied science. He is deeply interested and concerned that science serves primarily to contribute to a better world for humanity.



Information provided by the academic staff

Research interests

• Invariants
• Energy and momentum conservation
• Wave phenomena
• Coherent and ultrafast optics
• Scator algebra

Academic Work

On the following pages you can consult the research work:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
Fernández-Guasti, M. (2023).The cusphere. Journal of Mathematics and the Arts,17(3-4) 233-249
OAFernández-Guasti, M. (2023).Vector wave solutions in electrodynamics: the Heaviside-Larmor symmetry and tiered potential invariance. Physica Scripta,98(10)
Fernández-Guasti, M. (2023).Imaginary scators quadratic mapping in 1+2D dynamic space. Communications in Nonlinear Science and Numerical Simulation,125
Fernandez-Guasti, M. (2023).The Components Exponential Function in Scator Hypercomplex Space: Planetary Elliptical Motion and Three-Body Choreographies. Advances in Number Theory and Applied Analysis,195-230
Fernández Guasti, M. (2022).Quantum uncertainty: ΔxΔp experimental evaluation and direct visualization. Physics Letters, Section A: General, Atomic and Solid State Physics,448
Guasti, M.F. (2022).Energy exchange in the dissipative time-dependent harmonic oscillator: Physical interpretation of the Ermakov invariant. Pramana - Journal of Physics,96(4)
OAFernandez-Guasti, M., García-Guerrero, C. (2022).Time and Space Resolved First Order Optical Interference Between Distinguishable Photon Paths. Frontiers in Physics,9
Fernandez-Guasti, M. (2021).Tiered structure and symmetry of the electromagnetic equations. Journal of Modern Optics,68(20) 1134-1146
OAFernandez-Guasti, M. (2021).Powers of elliptic scator numbers. Axioms,10(4)
OAFernandez-Guasti, M. (2021).Roots of elliptic scator numbers. Axioms,10(4)
Fernandez-Guasti, M. (2020).Components exponential scator holomorphic function. Mathematical Methods in the Applied Sciences,43(3) 1017-1034
Fernández-Guasti, M. (2020).Composition of velocities and momentum transformations in a scator-deformed Lorentz metric. European Physical Journal Plus,135(7)
OARamos-Prieto, I., Urzúa, A.R., Fernández-Guasti, M. and 1 more (...) (2020).Ermakov-Lewis Invariant for Two Coupled Oscillators. Journal of Physics: Conference Series,1540(1)
OAFernandez-Guasti, M. (2020).Energy density and flow distribution in a vibrating string. SN Applied Sciences,2(8)
Fernández Guasti, M. (2019).Chirality, helicity and the rotational content of electromagnetic fields. Physics Letters, Section A: General, Atomic and Solid State Physics,383(25) 3180-3186
Fernández-Guasti, M. (2019).Gauge invariance of the helicity continuity equation. Annals of Physics,406186-199
OAUrzúa, A.R., Ramos-Prieto, I., Fernández-Guasti, M. and 1 more (...) (2019).Solution to the time-dependent coupled harmonic oscillators hamiltonian with arbitrary interactions. Quantum Reports,1(1) 82-90
OAFernandez-Guasti, M., Hernández, J. (2019).Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes. Advances in Mathematical Physics,2019
Fernández-Guasti, M. (2019).Helicity continuity equation for electromagnetic fields with sources. Journal of Modern Optics,66(11) 1265-1271
Jiménez Romero, H.A., Fernandez -Guasti, M. (2019).Fabry–Perot etalon solved by an amplitude and phase approach. Optik,185397-404
Fernandez-Guasti, M. (2019).Helicity of em Pulses with Gaussian Envelope. Progress in Electromagnetics Research Symposium,2019-705-713
Fernández-Guasti, M. (2019).Squdel Function: Square Wave Approximation Without Ringing. Circuits, Systems, and Signal Processing,38(2) 764-773
Fernandez-Guasti, M., Garcia-Guerrero, C. (2019).First Order Optical Interference between Distinguishable Photon Paths. Progress in Electromagnetics Research Symposium,2019-3634-3642
Fernandez-Guasti, M. (2019).Tiered Structure of Maxwell's Equations. Progress in Electromagnetics Research Symposium,2019-339-344
OARamos-Prieto, I., Espinosa-Zuñiga, A., Fernández-Guasti, M. and 1 more (...) (2018).Quantum harmonic oscillator with time-dependent mass. Modern Physics Letters B,32(20)
Fernandez-Guasti, M. (2018).Energy content in linear mechanical systems with arbitrary time dependence. Physics Letters, Section A: General, Atomic and Solid State Physics,382(45) 3231-3237
Fernández-Guasti, M. (2017).Solutions to a Periodic Nonlinear Differential Equation: Nonlinear Floquet Theorem. International Journal of Applied and Computational Mathematics,3(4) 3379-3388
Fernández-Guasti, M. (2016).Imaginary Scators Bound Set under the Iterated Quadratic Mapping in 1 + 2 Dimensional Parameter Space. International Journal of Bifurcation and Chaos,26(1)
Fernández-Guasti, M. (2015).Analytical solution to a non-autonomous second order differential equation with modified hyperbolic tangent function. Journal of Optics (United Kingdom),17(3)
Fernández-Guasti, M. (2015).Dielectric interfaces and mirrors in the amplitude and phase representation. Journal of Modern Optics,62(4) 265-271
Fernández-Guasti, M. (2015).A Non-distributive Extension of Complex Numbers to Higher Dimensions. Advances in Applied Clifford Algebras,25(4) 829-849
OAFernández-Guasti, M. (2015).Erratum to: A Non-distributive Extension of Complex Numbers to Higher Dimensions (Adv. Appl. Clifford Algebras, DOI 10.1007/s00006-015-0539-8). Advances in Applied Clifford Algebras,25(4)
Fernández-Guasti, M., Diamant, R. (2015).Photonic crystal with triangular stack profile. Optics Communications,346133-140
Fernández-Guasti, M. (2015).Fractals with hyperbolic scators in 1 + 2 dimensions. Fractals,23(2)
Fernández-Guasti, M., Zaldívar, F. (2015).Hyperbolic Superluminal Scator Algebra. Advances in Applied Clifford Algebras,25(2) 321-335
Fernández-Guasti, M. (2014).An intrinsically three-dimensional fractal. International Journal of Bifurcation and Chaos,24(6)
Diamant, R., Fernández-Guasti, M. (2014).Reflection coefficient due to a discontinuity in the nth order derivative of the refractive index. Journal of Optics (United Kingdom),16(1)
Fernández-Guasti, M. (2014).Time and space transformations in a scator deformed Lorentz metric. European Physical Journal Plus,129(9)
Fernández-Guasti, M., Zaldívar, F. (2014).Multiplicative Representation of a Hyperbolic non Distributive Algebra. Advances in Applied Clifford Algebras,24(3) 661-674
Fernández-Guasti, M., Zaldívar, F. (2013).A Hyperbolic Non Distributive Algebra in 1 + 2 Dimensions. Advances in Applied Clifford Algebras,23(3) 639-656
Fernández-Guasti, M., Zaldívar, F. (2013).An Elliptic Non Distributive Algebra. Advances in Applied Clifford Algebras,23(4) 825-835
Diamant, R., Fernández-Guasti, M. (2013).Phase change of light reflected by a discontinuity in the derivatives of the refractive index. Optics Communications,29464-72
Fernández-Guasti, M., Diamant, R. (2013).Enhanced reflection from derivative discontinuities in the refractive index of a triangular stack profile. Optics InfoBase Conference Papers,
Diamant, R., Fernández-Guasti, M. (2013).Novel method to compute high reflectivity of multilayered mirrors with rugate features. Optics InfoBase Conference Papers,

© 2024 Elsevier B.V. All rights reserved. SciVal, RELX Group and the RE symbol are trade marks of RELX Intellectual Properties SA, used under license.

Courses offered

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
23O
Electricidad y Magnetismo Elemental ILicenciatura
2
23P
Arte y CienciaLicenciatura
3
23P
Introducción a la Investigación IIIPosgrado
4
23I
Vibraciones y OndasLicenciatura
5
23I
Fotónica IPosgrado
6
23I
Introducción a la Investigación IIPosgrado
7
22O
Óptica IPosgrado
8
22O
Introducción a la Investigación IPosgrado
9
22P
Arte y CienciaLicenciatura
10
22I
Vibraciones y OndasLicenciatura
11
21O
Electricidad y Magnetismo Elemental ILicenciatura
12
21P
Electricidad y Magnetismo Elemental ILicenciatura
13
21I
Vibraciones y OndasLicenciatura
14
20O
Electricidad y Magnetismo Elemental ILicenciatura
15
20P
Vibraciones y OndasLicenciatura
16
20I
Vibraciones y OndasLicenciatura
Information provided by the Dirección de Sistemas Escolares
Return to list
New search





Universidad Autónoma Metropolitana, 2024.