Mathematical Optics Alonso

Mathematical Optics Group
Prof. Miguel A. Alonso

Group Members

Research

Publications

Publications (see also ORCID and HAL)

S. Brasselet and M.A. Alonso, "Polarization microscopy: from ensemble structural imaging to single-molecule 3D orientation and localization microscopy," Optica 10, 1486-1510 (2023).

M.A. Alonso, "Geometry and topology in 3D polarization," Proc. SPIE 12690, Polarization Science and Remote Sensing XI, 1269008 (2023).

M.A. Alonso, "Updates from Optics Letters: editorial," Opt. Lett. 48, ED1 (2023).

G.W. Forbes and M.A. Alonso, "Erratum: Asymptotic expansions for field moments of bound states (2023 J. Phys. A: Math. Theor. 56 244001)," J. Phys. A: Math. Theor. 56, 489601 (2023).

G.W. Forbes and M.A. Alonso, "Asymptotic expansions for field moments of bound states," J. Phys. A: Math. Theor. 56, 244001 (2023). (arXiv.2305.03999 (2023).)

R. Gutierrez-Cuevas, D.H.J. O'Dell, M.R. Dennis, and M.A. Alonso, "Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities," Phys. Rev. A 107, L031502 (2023).

M.A. Alonso, "Geometric descriptions for the polarization for nonparaxial optical fields: a tutorial," Adv. Opt. Photon. 15, 176-235 (2023).

K.Y. Bliokh et al., "Roadmap on structured waves," J. Opt. 25 103001 (2023). (arXiv:2301.05349).

A. Bhattacharjee, S. Biswas, M.A. Alonso, and A.K. Jha, "Coherence in the radial degree of freedom," J. Opt. Soc. Am. A 40, 411-416 (2023).

L.A. Aleman-Castañeda, S.Y-T. Feng, R. Gutierrez-Cuevas, I. Herrera, T.G. Brown, S. Brasselet, and M.A. Alonso, "Using fluorescent beads to emulate single flurophores," J. Opt. Soc. Am. A 39, C167-C178 (2022). (arXiv:2209.08950 (2022).)

G. Gbur, G. Agarwal, M.A. Alonso, P.S. Carney, A.T. Friberg, P. Knight, J.P. Rolland, and T. Shirai, "100 years of Emil Wolf: introduction," J. Opt. Soc. Am. A 39, EW1-EW2 (2022).

M.A. Alonso and M.R. Dennis, "The geometric phase made simple," Photoniques 116, 58-63 (2022).

R.D. Muelas-Hurtado, K. Volke-Sepulveda, J.L. Ealo, F. Nori, M.A. Alonso, K.Y. Bliokh, E. Brasselet, "Observation of polarization singularities and topological textures in sound waves," Phys. Rev. Lett. 129, 204301 (2022).

M. Yessenov, J. Free, Z. Chen, E.G. Johnson, M.P. Lavery, M.A. Alonso, and A.F. Abouraddy, "Space-time wave packets localized in all dimensions," Nature Comm. 13, 4573 (2022).

M. Mazanov, D. Sugic, M.A. Alonso, F. Nori, and K.Y. Bliokh, "Transverse shifts and time delays of spatiotemporal vortex pulses reflected and refracted at a planar interface," Nanophotonics 10, 20210294 (2021).

K.Y. Bliokh, M.A. Alonso, D. Sugic, M. Perrin, F. Nori, and E. Brasselet, "Polarization singularities and Möbius strips in sound and water-surface waves," Phys. Fluids 33, 077122 (2021).

M.A. Alonso, "Abstract spaces, mappings and geometry in the study of optical systems," Proc. SPIE 12078, International Optical Design Conference 2021, 120780U (19 November 2021).

S.A. Wadood, K. Liang, Y. Zhou, J. Yang, M.A. Alonso, X.F. Qian, T. Malhotra, S.M. Hashemi Rafsanjani, A.N. Jordan, R.W. Boyd, and N.A. Vamivakas, "Experimental demonstration of superresolution of partially coherent light sources using parity sorting," Opt. Express 29, 22034-22043 (2021).

R. Gutiérrez-Cuevas and M.A. Alonso, "Analytic treatment of nonparaxial full-Poincaré fields: singularity structure and trapping properties," J. Opt. 23, 024005 (2021).

J.S. Eismann, L.H. Nicholls, D.J. Roth, M.A. Alonso, P. Banzer, F.J. Rodríguez-Fortuño, A.V. Zayats, F. Nori and K.Y. Bliokh, "Transverse spinning of unpolarized light," Nature Phot. 15, 156-161 (2021).

L.A. Alemán-Castañeda , F. Zvietcovich, and K.J. Parker, "Reverberant Elastography for the Elastic Characterization of Anisotropic Tissues," IEEE Journal of Selected Topics in Quantum Electronics 27, 7201312 (2021).

R. Gutiérrez-Cuevas and E. Pisanty, "Optical polarization skyrmionic fields in free space," J. Opt 23, 024004 (2021).

M.V. Berry, S. Soskin, E. Brasselet, I. Freund, B.A. Malomed, V.P. Aksenov, C. Rosales Guzmán, C.N. Alexeyev, A.N. Alexeyev, M.A. Yavorsky, L. Tryfonyuk, A. Ushenko, D.L. Andrews, L. Torner, A. Desyatnikov, Y. Miyamoto, O. Angelsky, P. Banzer, N.N. Rosanov, F.S. Roux, V. Venediktov, R.O. Vlokh, A. Volyar, Y. Egorov, A. Rubass, G. Gbur, M.A. Alonso, E. Karimi and M.R. Dennis, "Editorial: A tribute to Marat Soskin," J. Opt. 23, 050201 (2021).

R. Gutiérrez-Cuevas and M.A. Alonso, "Platonic Gaussian beams: wave and ray treatment," Opt. Lett. 45, 6759-6762 (2020).

R. Gutiérrez-Cuevas, S.A. Wadood, A.N. Vamivakas and M.A. Alonso, "Modal Majorana sphere and hidden symmetries of structured Gaussian beams," Phys. Rev. Lett. 125, 123093 (2020).

V. Curcio, L.A. Alemán-Castañeda, T.G. Brown, S. Brasselet and M.A. Alonso, "Birefringent Fourier filtering for single molecule Coordinate and Height super-resolution Imaging with Dithering and Orientation," Nature Commun. 11, 5307 (2020).

A. Zannotti, C. Denz, M.A. Alonso and M.R. Dennis, "Shaping caustics into propagation-invariant light," Nature Commun. 11, 3597 (2020).

K. Liang, G.W. Forbes and M.A. Alonso, "Validity of the perturbation model for the propagation of MSF structures in 3D," Opt. Express 28, 20277-20295 (2020).

A. Vella and M.A. Alonso, "Maximum likelihood estimation in the context of an optical measurement", Chapter 7 of Progress in Optics 65 (Elsevier, Amsterdam, 2020), pp. 231-311.

M.A. Alonso, "Editorial: Message from the Incoming Editor," Opt. Lett. 45, ED1 (2020).

M.A. Alonso, "La théorie ondulatoire de Fresnel a-t-elle tué les rayons ? Comment réconcilier les rayons et les ondes," Photoniques 100, 29-33 (2020).

L.A. Alemán-Castañeda and M.A. Alonso, "Reflector design and study via conformal mappings", Nonimaging Optics : Efficient Design for Illumination and Solar Concentration XVII, Proc. SPIE 11495, 114950F (2020).

A. Vella and M.A. Alonso, "Optimal birefringence distributions for imaging polarimetry," Opt. Express 27, 26799-26814 (2019).

K.Y. Bliokh, M.A. Alonso and M.R. Dennis, "Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects," Rep. Prog. Phys. 82, 122401 (2019).

K. Liang and M.A. Alonso, "Effects on the OTF of MSF structures with random variations," Opt. Express 27, 34665-34680 (2019).

K. Liang, G.W. Forbes and M.A. Alonso, "Rapidly-Decaying Fourier-like bases," Opt. Express 27, 32263-32276 (2019).

L.A. Alemán-Castañeda and M.A. Alonso, "Study of reflectors for illumination via conformal maps," Opt. Lett. 44, 3809-3812 (2019).

R. Gutiérrez-Cuevas, M.R. Dennis, and M.A. Alonso, "Generalized Gaussian beams in terms of Jones vectors," J. Opt. 21, 084001 (2019).

H.E. Kondakci, G.K. Atia, M.A. Alonso, and A.F. Abouraddy, "Classical entanglement underpins the invariant propagation of space-time wave packets," Opt. Lett. 44, 2645-2648 (2019).

H. Aryan, K. Liang, M.A. Alonso, and T.J. Suleski, "Predictive models for the Strehl ratio of diamond-machined optics," Appl. Opt. 58, 3272-3276 (2019).

M. Yessenov, L. Mach, B. Bhaduri, D. Mardani, H.E. Kondakci, G.K. Atia, M.A. Alonso, and A.F. Abouraddy, "What is the maximum differential group delay achievable by a space-time wave packet in free space?," Opt. Express 27, 12443-12457 (2019).

A. Vella, S.T. Head, T.G. Brown, and M.A. Alonso, "Simultaneous measurement of multiple parameters of a subwavelength structure based on the weak value formalism," Phys. Rev. Lett. 122, 123603 (2019).

L.A. Alemán-Castañeda, B. Piccirillo, E. Santamato, L. Marrucci, and M.A. Alonso, "Shearing interferometry via geometric phase," Optica 6, 396-399 (2019).

M.R. Dennis and M.A. Alonso, "Gaussian mode families for systems of rays,"J. Phys. Photon. 1, 025003 (2019).

K. Liang, G.W. Forbes, and M.A. Alonso, ''Validity of the perturbation model for the propagation of MSF structure in 2D,'' Opt. Express 27, 3390-3408 (2019).

S. Sivankutty, V. Tsvirkun, G. Bouwmans, E.R. Andresen, D. Oron, H. Rigneault, and M.A. Alonso, "Single-shot noninterferometric measurement of the phase transmission matrix in multicore fibers," Opt. Lett. 43, 4493-4496 (2018).

T. Malhotra, R. Gutiérrez-Cuevas, J. Hassett, N. Vamivakas, and M.A. Alonso, "Measuring geometric phase without interferometry," Phys. Rev. Lett. 120, 233602 (2018).

X.-F. Qian, M.A. Alonso, and J.H. Eberly, "Entanglement polygon inequality in qubit systems," New J. Phys. 20, 063012 (2018).

R. Gutiérrez-Cuevas, N.J. Moore, and M.A. Alonso, "Lorenz-Mie scattering of focused light via complex focus fields: An analytic treatment," Phys. Rev. A 97, 053848 (2018).

K.A. Sharma, G. Costello, E. Vélez-Juárez, T.G. Brown, and M.A. Alonso, "Measuring vector field correlations using diffraction," Opt. Express 26, 8301-8313 (2018).

A. Vella and M.A. Alonso, "Poincaré sphere representation for spatially varying birefringence," Opt. Lett. 43, 379-382 (2018).

M.A. Alonso and A. Vella, "Birefringent distributions tailored for imaging and other applications", 17th Workshop on Information Optics (WIO), IEEE 1-3 (2018).

K. Liang, M.A. Alonso, "Using the pupil-difference probability density to understand OTF," Computational Optics II, Proc. SPIE 10694, 106940P (2018).

K. Liang and M.A. Alonso, ''Effects of defocus and other quadratic errors on OTF,'' Opt. Lett. 42, 5254-5257 (2017).

R. Gutiérrez-Cuevas and M.A. Alonso, ''Complete confined bases for beam propagation in Cartesian coordinates'' J. Opt. Soc. Am. A 34, 1697-1702 (2017).

K. Liang and M.A. Alonso, ''Understanding the effects of groove structure on the MTF,'' Opt. Express 25, 18827-18841 (2017).

J. Verbeeck, K.Y. Bliokh, I.P. Ivanov, L. Clark, R. Van Boxem, A. Béché, R. Juchtmans, G. Guzzinati, M.A. Alonso, P. Schattschneider, F. Nori, ''Theory and applications of free-electron vortex states,'' Phys. Rep. 690, 1-70 (2017).

R. Gutiérrez-Cuevas and M.A. Alonso, ''Scalar and electromagnetic nonparaxial bases composed as superpositions of simple vortex fields with complex foci,'' Opt. Express 25, 14856-14870 (2017).

R. Gutiérrez-Cuevas and M.A. Alonso, ''Polynomials of Gaussians and vortex-Gaussian beams as complete, transversely confined bases,'' Opt. Lett. 42, 2205-2208 (2017).

K.J. Parker, S. Chen and M.A. Alonso, ''The ultrasound needle pulse,'' IEEE Ultrasonics, Ferroelectrics and Frequency Control 64, 1045-1049 (2017).

M.A. Alonso and M.R. Dennis, "Ray-optical Poincaré sphere for structured Gaussian beams," Optica 4, 476-486 (2017).

A. Vella, H. Dourdent, L. Novotny, and M.A. Alonso, ''Birefringent masks that are optimal for generating bottle fields,'' Opt. Express 25, 9318-9332 (2017). Erratum, 25, 19654 (2017).

M.R. Dennis and M.A. Alonso, "Swings and roundabouts: Optical Poincaré spheres for polarization and Gaussian beams," Phil. Trans. R. Soc. A 375, 20150441 (2017).

K.J. Parker and M.A. Alonso, "Longitudinal iso-phase condition and needle pulses," Opt. Express 24, 28669-28677 (2016).

M.A. Alonso, X.-F. Qian, and J.H. Eberly, "Center-of-mass interpretation for bi-partite purity analysis of N-party entanglement," Phys. Rev. A 94, 030303(R) (2016).

M.A. Alonso and G.W. Forbes, ''Strehl ratio as the Fourier transform of a probability density of error differences,'' Opt. Lett. 41, 3735-3738 (2016).

K.A. Sharma, T.G. Brown, and M.A. Alonso, "Phase-space approach to lensless measurements of optical field correlations," Opt. Express 24, 16099-16110 (2016).

J.H. Eberly, X.-F. Qian, A. Al Qasimi, H. Ali, M.A. Alonso, R. Gutierrez-Cuevas, B.J. Little, J.C. Howell, T. Malhotra, and A.N. Vamivakas, "Quantum and Classical Optics -- Emerging Links," Phys. Scr. 91, 063003 (2016).

N.J. Moore and M.A. Alonso, "Mie scattering of highly focused, scalar fields: an analytic approach," J. Opt. Soc. Am. A 33, 1236-1243 (2016).

S. Sivankutti, E.R. Andresen, G. Bowmans, T.G. Brown, M.A. Alonso, and H. Rigneault, "Single shot polarimetry of multicore fiber," Opt. Lett. 41, 2105-2108 (2016).

M.A. Alonso, "Foreword" in Linear Canonical Transforms, Theory and Applications (Springer Series in Optical Sciences 198, 2016), eds. J.J. Healy, M.A. Kutay, H.M. Ozaktas, J.T. Sheridan.

M.A. Alonso, "Is the Maxwell-Shafer fish eye lens able to form super-resolved images?," New J. Phys. 17, 073013 (2015).

M.A. Alonso and A.N. Jordan, "Can a Dove prism change the past of a single photon?," Quantum Stud.: Math. Found. (2015).

J.C. Petruccelli and M.A. Alonso, "The Wigner function in optics" in The Optics Encyclopedia (Wiley VCH, 2015).

M.A. Alonso, "Modern Optics" in The Princeton Companion to Applied Mathematics, (Princeton U.P., 2015), ed. Nicholas J. Higham, pp. 673-680.

M.A. Alonso, T. Setälä, and A.T. Friberg, "Minimum uncertainty solutions for partially coherent fields and quantum mixed states," N. J. Phys. 16, 123023 (2014).

J.K. Wood, K.A. Sharma, S. Cho, T.G. Brown, and M.A. Alonso, "Using shadows for measuring spatial coherence," Opt. Lett. 39, 4927-4930 (2014).

M.A. Alonso and M.A. Bandres, "Generation of nonparaxial accelerating fields through mirrors. II: three dimensions," Opt. Express 22, 14738-14749 (2014).

M.A. Alonso and M.A. Bandres, "Generation of nonparaxial accelerating fields through mirrors. I: two dimensions," Opt. Express 22, 7124-7132 (2014).

K.A. Sharma, J.K. Wood, M.A. Alonso, and T.G. Brown, "Measurement of spatial coherence through the shadow of small obscurations," Reflection, Scattering, and Diffraction from Surfaces IV, SPIE proceeding 9205, 92050G (2014).

T.G. Brown, M.A. Alonso, A. Vella, M.J. Theisen, S.T. Head, S.R. Gillmer, and J.D. Ellis, "Focused beam scatterometry for deep subwavelength metrology," Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XXI, SPIE proceeding 8949, 89490Y (2014).

T.G. Brown, M.A. Alonso, A. Vella, M.J. Theisen, and S.T. Head "Weak measurements applied to process monitoring using focused beam scatterometry," Metrology, Inspection, and Process Control for Microlithography XXVIII, SPIE proceeding 9050, 90501F (2014).

B.G. Zimmerman, R. Ramkhalawon, M.A. Alonso, and T.G. Brown, "Pinhole array implementation of Star Test Polarimetry," Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing XXI, SPIE proceeding 8949, 894912 (2014).

M. Eggleston, T. Godat, E. Munro, M.A. Alonso, H. Shi, M. Bhattacharya, "Ray transer matrix for a spiral phase plate," J. Opt. Soc. Am. A 30, 2526-2530 (2013).

M.A. Bandres, M.A. Alonso, Ido Kaminer and Mordechai Segev, "Three-dimensional accelerating waves," Opt. Express 21, 13917-13929 (2013).

M.A. Alonso, "Ray-based diffraction calculations using stable aggregates of flexible elements," J. Opt. Soc. Am. A 30, 1223-1235 (2013).

R. Ramkhalawon, T.G. Brown, and M.A. Alonso, "Imaging the polarization of a light field," Opt. Express 21, 4106-4115 (2013).

M.A. Alonso, "The connection between rays and waves," Proceedings of Fringe 2013, 7th International Workshop on Advanced Optical Imaging and Metrology, W. Osten, Ed. (Springer, Hiedelberg, 2013), pp. 457-466.

M.A. Alonso, "Analytical techniques for the study of focused beams," Proceedings of the Complex Light and Optical Forces VII conference, Photonics West, SPIE proceeding 8637, 863716 (2013).

M.A. Alonso and N.J. Moore, "Basis expansions for monochromatic field propagation" in Mathematical Optics: Classical, Quantum, and Imaging Methods, (CRC Press, 2013), eds. V. Lakshminarayanan, M.L. Calvo, and T. Alieva, pp. 97-141.

K.Y. Bliokh, A. Aiello and M.A. Alonso, "Spin-orbit interactions (SOI) of light" in The Angular Momentum of Light, (Cambridge University Press, 2013), eds. D. Andrews and M. Babiker, pp. 174-245.

M.A. Alonso and M.A. Bandres, "Spherical fields as nonparaxial accelerating waves," Opt. Lett. 37, 5175-5177 (2012).

S. Cho, M.A. Alonso, and T.G. Brown, "Measurement of spatial coherence through diffraction from a transparent mask with a phase discontinuity" Opt. Lett. 37, 2724-2726 (2012).

A.M. Beckley, T.G. Brown, and M.A. Alonso, "Full Poincaré beams II: Partial polarization," Opt. Express 20, 9357-9362 (2012).

M. Marasinghe, M. Premaratne, D. Paganin, and M.A. Alonso, "Coherence vortices in Mie scattered partially coherent fields," Opt. Express 20, 2858-2875 (2012).

J. Courtial, B. Kirkpatrick, and M.A. Alonso "Imaging with complex ray-optical refractive-index interfaces between complex object and image distances," Opt. Lett. 37, 701-703 (2012).

K. Lombardo and M.A. Alonso, "Two-dimensional directional basis for nonparaxial focused fields and its application to scattering," Am. J. Phys. 80, 82-93 (2012).

M.A. Alonso, S. Cho and T.G. Brown, "Simple methods for measuring spatial coherence and their relation to the Wigner function," IEEE Proceedings of the 11th Euro-American Workshop on Information Optics, 1-3 (2012).

M.R. Dennis, J.B. Götte, R.P. King, M.A. Morgan and M.A. Alonso, "Paraxial and nonparaxial polynomial beams and the analytic approach to propagation," Opt. Lett. 36, 4452-4454 (2011).

K.Y. Bliokh, E.A. Ostrovskaya, M.A. Alonso, O.G. Rodriguez-Herrera, D. Lara, and C. Dainty, "Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems," Opt. Express 19, 26132-26149 (2011).

M.A. Alonso, "Wigner functions in optics: describing beams as ray bundles and pulses as particle ensembles," (review article) Adv. Opt. Phot. 3, 272-365 (2011).

M.A. Alonso, T. Setälä, and A.T. Friberg, "Optimal pulses for arbitrary dispersive media," J. Eur. Opt. Soc. R.P. 6, 11035 (2011).

M.A. Alonso, "The effect of orbital angular momentum and helicity in the uncertainty-type relations between focal spot size and angular spread," J. Opt. 13, 064016 (2011).

S. Cho and M.A. Alonso, "Ambiguity function and phase space tomography for nonparaxial fields," J. Opt. Soc. Am. A 28, 897-902 (2011).

J.C. Petruccelli and M.A. Alonso, "A generalized radiance model for the propagation of light within anisotropic media," J. Opt. Soc. Am. A 28, 791-800 (2011).

M.A. Alonso and K.Y. Bliokh, "Angular momenta and spin-orbit interaction for nonparaxial beams," 22nd Congress of the International Commission for Optics: Light for the Development of the World, SPIE Proceedings 8011, 80116H (2011).

M.A. Alonso, J.C. Petruccelli, and S. Cho, "Generalized phase space representations in classical optics," 22nd Congress of the International Commission for Optics: Light for the Development of the World, SPIE Proceedings 8011, 80116E (2011).

N.J. Moore and M.A. Alonso, "Mie scattering for high numerical aperture fields," 22nd Congress of the International Commission for Optics: Light for the Development of the World, SPIE Proceedings 8011, 801162 (2011).

M.A. Alonso, A.M. Beckley, and T.G. Brown, "Full Poincaré beams," 22nd Congress of the International Commission for Optics: Light for the Development of the World, SPIE Proceedings 8011, 80111M (2011).

K.Y. Bliokh, M.A. Alonso, and E.A. Ostrovskaya, "Angular momentum of light revisited: Spin-orbit interactions in free space," Complex Light and Optical Forces V, SPIE Proceedings 7950, 1-8 (2011).

K.Y. Bliokh, M.A. Alonso, E.A. Ostrovskaya, and A. Aiello, "Angular momenta and spin-orbit interaction for nonparaxial light in free space," Phys. Rev. A 82, 036825 (2010).

A.M. Beckley, T.G. Brown, and M.A. Alonso, "Full Poincaré beams," Opt. Express 18, 10777-10785 (2010).

S. Vo, K. Fuerschbach, K.P. Thompson, M.A. Alonso, and J.P. Rolland, "Airy Beams: A geometric optics perspective," J. Opt. Soc. Am. A 27, 2574-2582 (2010).

J.C. Petruccelli and M.A. Alonso, "Phase space distributions tailored for dispersive media," J. Opt. Soc. Am. A 27, 1194-1201 (2010).

J.C. Petruccelli, N.J. Moore, and M.A. Alonso, "Two methods for modeling the propagation of the coherence and polarization properties of nonparaxial fields," Opt. Commun. 283, 4457-4466 (2010).

E. Wolf, W.H. Knox, and M.A. Alonso, "Spatial coherence from ducks," Physics Today 63, March 2010, p. 11.

J.C. Petruccelli, N.J. Moore, and M.A. Alonso, "Methods for modeling nonparaxial fields," Proceedings of the 9th Euro-American Workshop on Information Optics, IEEE proceeding 10.1109/WIO.2010.5582523 (2010).

S. Cho, J.C. Petruccelli and M.A. Alonso, "Wigner functions for paraxial and nonparaxial fields," J. Mod. Opt. 56, 1843-1852 (2009).

N.J. Moore and M.A. Alonso, "Closed-form bases for the description of monochromatic, strongly focused, electromagnetic fields," J. Opt. Soc. Am. A 26, 2211-2218 (2009).

R. Borghi and M.A. Alonso, "Free-space asymptotic far-field series," J. Opt. Soc. Am. A 26, 2410-2417 (2009).

J.C. Petruccelli and M.A. Alonso, "Propagation of nonparaxial partially coherent fields across interfaces using generalized radiometry," J. Opt. Soc. Am. A 26, 2012-2022 (2009).

S. Cho, J.C. Petruccelli and M.A. Alonso, "Wigner functions for paraxial and nonparaxial fields," J. Mod. Opt. 56, 1843-1852 (2009).

M.A. Alonso, "Diffraction of paraxial partially coherent fields by planar obstacles in the Wigner representation," J. Opt. Soc. Am. A 26, 1588-1597 (2009).

N.J. Moore and M.A. Alonso, "Bases for the description of monochromatic, strongly focused, scalar fields," J. Opt. Soc. Am. A 26, 1754-1761 (2009).

M.A. Alonso, "Rays and waves" in Phase Space Optics: Fundamentals and Applications, (McGraw-Hill, 2009), eds. B. Hennelly, J. Ojeda-Castaneda, and M. Testorf.

J.C. Petruccelli and M.A. Alonso, "Ray-based propagation of the cross-spectral density," J. Opt. Soc. Am. A 25, 1395-1405 (2008).

N.J. Moore and M.A. Alonso, "Closed form formula for Mie scattering of nonparaxial analogues of Gaussian beams," Opt. Express 16, 5926-5933 (2008).

C.J.R. Sheppard, M.A. Alonso, and N.J. Moore, "Localization measures for high-aperture wavefields based on moments of the pupil," J. Opt. A 10, 033001 (2008).

M.A. Alonso and E. Wolf, "The cross-spectral density matrix of a planar, electromagnetic stochastic source as a correlation matrix," Opt. Commun. 281, 2393-2396 (2008).

J.C. Petruccelli and M.A. Alonso, "Propagation of partially coherent fields through planar dielectric boundaries using angle-impact Wigner functions I. Two dimensions," J. Opt. Soc. Am. A 24, 2590-2603 (2007).

N.J. Moore, M.A. Alonso, and C.J.R. Sheppard, "Monochromatic electromagnetic fields with maximum focal energy density," J. Opt. Soc. Am. A 24, 3115-3122 (2007).

N.J. Moore, M.A. Alonso, and C.J.R. Sheppard, "Monochromatic scalar fields with maximum focal irradiance," J. Opt. Soc. Am. A 24, 2057-2064 (2007).

D.P. Brown, A.K. Spilman, T.G. Brown, M.A. Alonso, R. Borghi, and M. Santarsiero, "Calibration of a reversed-wavefront interferometer for polarization coherence metrology," Advanced Characterization Techniques for Optics, Semiconductors, and Nanotechnologies III, SPIE Proc. 6672, 667207 (2007).

R. Borghi and M.A. Alonso, "Efficient evaluation of far-field asymptotic series," Proceedings of the 9th IEEE International Conference on Transparent Optical Networks, 2007. ICTON (2007), vol. 3, pp. 246-250.

J.C. Petruccelli and M.A. Alonso, "Propagation of Partially Coherent, Partially Polarized Fields via a Wigner Representation in Direction and Angular Momentum," in Conference on Coherence in Quantum Optics, OSA Technical Digest (CD) (Optical Society of America, 2007), paper CSuA46.

R. Borghi and M.A. Alonso, "Efficient evaluation of far-field asymptotic series," Proceedings of the 9th IEEE International Conference on Transparent Optical Networks, 2007. ICTON (2007), vol. 3, pp. 246-250.

M.A. Alonso and R. Borghi, "Complete far-field asymptotic series for free fields," Opt. Lett. 31, 3028-3030 (2006).

C.J.R. Sheppard, M.A. Alonso, M. Santarsiero, and R. Borghi, "Comment on 'Do evanescent waves really exist in free space?'," Opt. Commun. 266, 448-449 (2006).

M.A. Alonso, R. Borghi, and M. Santarsiero, "New basis for rotationally-symmetric nonparaxial fields in terms of spherical waves with complex foci" Opt. Express 14, 6894-6905 (2006).

M.A. Alonso, R. Borghi, and M. Santarsiero, "Joint spatial-directional features for fields focused at a complex point," J. Opt. Soc. Am. A 23, 933-939 (2006).

M.A. Alonso, R. Borghi, and M. Santarsiero, "Nonparaxial fields with maximum joint spatial-directional localization. II. Vectorial case," J. Opt. Soc. Am. A 23, 701-712 (2006).

M.A. Alonso, R. Borghi, and M. Santarsiero, "Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case," J. Opt. Soc. Am. A 23, 691-700 (2006).

M.A. Alonso, O. Korotkova, and E. Wolf, "Propagation of the electric correlation matrix and the van Cittert-Zernike theorem for random electromagnetic fields," J. Mod. Opt. 53, 969-978 (2006).

R. Borghi, M. Santarsiero, and M.A. Alonso, "Highly focused spirally polarized beams," J. Opt. Soc. Am. A 22, 1420-1431 (2005).

M.A. Alonso, "Wigner functions for nonparaxial, arbitrarily polarized electromagnetic wave fields in free space," J. Opt. Soc. Am. A 21, 2233-2243 (2004).

M.A. Alonso and M.J. Bastiaans, "Mapping-based width measures and uncertainty relations for periodic functions," Signal Proc. 84, 2425-2435 (2004).

G.W. Forbes and M.A. Alonso, "Stable aggregates of flexible elements link rays and waves," Nonimaging Optics: Maximum Efficiency Light Transfer VII, SPIE Proceedings 5185, 125-136 (2004).

M.A. Alonso, "Stable aggregates of flexible elements: Making a silk purse from sow's ears," 2004 URSI EMTS International Symposium on Electromagnetic Theory Proceedings (Edizioni Plus, Pisa 2004), pp. 346-348.

M.A. Alonso, "Exact description of electromagnetic waves in terms of rays," 2004 URSI EMTS International Symposium on Electromagnetic Theory Proceedings (Edizioni Plus, Pisa 2004), pp. 242-244.

G.W. Forbes and M.A. Alonso, "Stable aggregates of flexible elements link rays and waves," Nonimaging Optics: Maximum Efficiency Light Transfer VII, SPIE Proceedings 5185, 125-136 (2004).

M.A. Alonso, "Exact description of free electromagnetic wave fields in terms of rays," Opt. Exp. 11, 3128-3135 (2003).

M.A. Alonso and A. Antillon, "Angle-impact representations for wave fields in convex cavities," Opt. Commun. 224, 159-173 (2003).

G.W. Forbes, M.A. Alonso, and A.E. Siegman, "Uncertainty relations and minimum uncertainty states for the discrete Fourier transform and the Fourier series," J. Phys. A: Math. Gen. 36, 7027-7047 (2003).

M.A. Alonso, G.S. Pogosyan, and K.B. Wolf "Wigner functions for curved spaces II: on spheres," J. Math. Phys. 44, 1472-1489 (2003).

M.A. Alonso and G.W. Forbes, "Periodic minimum uncertainty states," Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations, H. Moya-Cessa et al., Eds. (Rinton, Princeton, 2003), pp. 1-6.

M.A. Alonso and M.J. Bastiaans, "Mapping-based width measures and uncertainty relations for periodic functions," Proceedings of the 3rd IEEE International Symposium on Signal Processing and Information Technology, 2003. ISSPIT (2003), pp. 625-628.

M.A. Alonso, G.S. Pogosyan, and K.B. Wolf "Wigner functions for curved spaces I: on hyperboloids," J. Math. Phys. 43, 5857-5871 (2002).

M.A. Alonso and G.W. Forbes, "Stable aggregates of flexible elements give a stronger link between rays and waves," Opt. Exp. 10, 728-739 (2002).

L.E. Vicent and M.A. Alonso, "Generalized radiometry as a tool for the propagation of partially coherent fields," Opt. Commun. 207, 101-112 (2002).

G.W. Forbes and M.A. Alonso, "The Holy Grail of ray-based optical modeling," Proceedings of the International Optical Design Conference 2002, SPIE Proceedings 4832, 186-197 (2002).

G.W. Forbes and M.A. Alonso, "Consistent analogues of the Fourier uncertainty relation," Am. J. Phys. 69, 1091-1095 (2001).

M.A. Alonso and G.W. Forbes, "Using rays better. III. Error estimates and illustrative applications in smooth media," J. Opt. Soc. Am. A 18, 1357-1370 (2001).

M.A. Alonso and G.W. Forbes, "Using rays better. II. Ray families to match prescribed wave fields," J. Opt. Soc. Am. A 18, 1146-1159 (2001).

G.W. Forbes and M.A. Alonso, "Using rays better. I. Theory for smoothly varying media," J. Opt. Soc. Am. A 18, 1132-1145 (2001).

M.A. Alonso, "Radiometry and wide-angle wave fields. III. Partial coherence," J. Opt. Soc. Am. A 18, 2502-2511 (2001).

M.A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A 18, 910-918 (2001).

M.A. Alonso, "Radiometry and wide-angle wave fields. I. Coherent fields in two dimensions," J. Opt. Soc. Am. A 18, 902-909 (2001).

G.W. Forbes and M.A. Alonso, "Measures of spread for periodic distributions and the associated uncertainty relations," Am. J. Phys. 69, 340-347 (2001).

M.A. Alonso and G.W. Forbes, "Uncertainty products for nonparaxial fields," J. Opt. Soc. Am. A 17, 2391-2402 (2000).

M.A. Alonso and G.W. Forbes, "Phase space distributions for high-frequency fields," J. Opt. Soc. Am. A 17, 2288-2300 (2000).

M.A. Alonso, "Measurement of Helmholtz wave fields," J. Opt. Soc. Am. A 17, 1256-1264 (2000).

K.B. Wolf, M.A. Alonso, and G.W. Forbes, "Wigner functions for Helmholtz wave fields," J. Opt. Soc. Am. A 16, 2476-2487 (1999).

M.A. Alonso, A.A. Asatryan, and G.W. Forbes, "Beyond the Fresnel approximation for focused waves," J. Opt. Soc. Am. A 16, 1958-1969 (1999).

M.A. Alonso and G.W. Forbes, "New approach to semiclassical analysis in mechanics," J. Math. Phys. 40, 1699-1718 (1999).

G.W. Forbes and M.A. Alonso, "What on earth is a ray and how can we use them best?," Proceedings of the International Optical Design Conference 1998, SPIE Proceedings 3482, 22-31 (1999).

G.W. Forbes and M.A. Alonso, "Asymptotic estimation of the optical wave propagator II: relative validity," J. Opt. Soc. Am. A 15, 1341-1354 (1998).

M.A. Alonso and G.W. Forbes, "Asymptotic estimation of the optical wave propagator I: derivation of a new method," J. Opt. Soc. Am. A 15, 1329-1340 (1998).

M.A. Alonso and G.W. Forbes, "Uniform asymptotic expansions for wave propagators via fractional transformations," J. Opt. Soc. Am. A 14, 1279-1292 (1997).

M.A. Alonso and G.W. Forbes, "Semigeometrical estimation of Green's functions and wave propagators in optics," J. Opt. Soc. Am. A 14, 1076-1086 (1997).

M.A. Alonso and G.W. Forbes, "Fractional Legendre transformation and its use in Hamilton's formalism," Proceedings of the Second Iberoamerican Meeting on Optics, SPIE Proceedings 2730, 248-251 (1996).

M.A. Alonso and G.W. Forbes, "Generalization of Hamilton's formalism for geometrical optics," J. Opt. Soc. Am. A 12 2744-2752 (1995).

M.A. Alonso and G.W. Forbes, "Fractional Legendre transformation," J. Phys. A: Math. Gen. 28, 5509-5527 (1995).