{"id":1226,"date":"2019-11-15T15:22:14","date_gmt":"2019-11-15T15:22:14","guid":{"rendered":"https:\/\/www.hajim.wdev.rochester.edu\/optics\/alonso\/?page_id=1226"},"modified":"2021-04-04T07:31:20","modified_gmt":"2021-04-04T07:31:20","slug":"nonparaxial-fields-spin-orbit-interaction-basis-expansions-and-interaction-with-particles","status":"publish","type":"page","link":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/publications\/nonparaxial-fields-spin-orbit-interaction-basis-expansions-and-interaction-with-particles\/","title":{"rendered":"Nonparaxial fields: spin-orbit interaction, basis expansions, and interaction with particles"},"content":{"rendered":"\n<figure class=\"wp-block-gallery columns-2 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><ul class=\"blocks-gallery-grid\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"576\" height=\"559\" src=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-content\/uploads\/2019\/11\/trappingmovie.gif\" alt=\"\" data-id=\"1626\" data-full-url=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-content\/uploads\/2019\/11\/trappingmovie.gif\" data-link=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/trappingmovie\/\" class=\"wp-image-1626\"\/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"576\" height=\"559\" src=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-content\/uploads\/2019\/11\/trappingmovie2.gif\" alt=\"\" data-id=\"1616\" data-full-url=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-content\/uploads\/2019\/11\/trappingmovie2.gif\" data-link=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/trappingmovie2\/\" class=\"wp-image-1616\"\/><\/figure><\/li><\/ul><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">This work consists of analytic models for describing monochromatic fields focused beyond the paraxial regime, including aspects such as fundamental relations related to focal properties, the effects of polarization, closed-form complete orthonormal basis expansions (nonparaxial generalizations of Laguerre-Gaussian beams), and generalizations of Mie theory describing the interaction of these fields with spherical scatterers.<\/h4>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Effects of nonparaxiality on polarization<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Book chapter<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/www.cambridge.org\/us\/academic\/subjects\/physics\/optics-optoelectronics-and-photonics\/angular-momentum-light\">K.Y. Bliokh, A. Aiello and M.A. Alonso, &#8220;Spin-orbit interactions (SOI) of light&#8221; in The Angular Momentum of Light, (Cambridge University Press, 2013), eds. D. Andrews and M. Babiker, pp. 174-245.<\/a><\/li><\/ul>\n\n\n\n<p>Journal articles<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/doi.org\/10.1088\/2040-8986\/abe01f\">R. Guti\u00e9rrez-Cuevas and M.A. Alonso, &#8220;Analytic treatment of nonparaxial full-Poincar\u00e9 fields: singularity structure and trapping properties,&#8221; J. Opt.\u00a0<strong>23<\/strong>, 024005 (2021).<\/a><\/li><li><a href=\"https:\/\/doi.org\/10.1038\/s41566-020-00733-3\">J.S. Eismann, L.H. Nicholls, D.J. Roth, M.A. Alonso, P. Banzer, F.J. Rodr\u2019guez-Fortu\u00f1o, A.V. Zayats, F. Nori and K.Y. Bliokh, &#8220;Transverse spinning of unpolarized light,&#8221; Nature Phot. (2020).<\/a><\/li><li><a href=\"https:\/\/doi.org\/10.1088\/1361-6633\/ab4415\">K.Y. Bliokh, M.A. Alonso and M.R. Dennis, &#8220;Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects,&#8221; Rep. Prog. Phys.\u00a0<strong>82<\/strong>, 122401 (2019).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1088\/2040-8978\/13\/6\/064016\">M.A. Alonso, &#8220;The effect of orbital angular momentum and helicity in the uncertainty-type relations between focal spot size and angular spread,&#8221; J. Opt.\u00a0<strong>13<\/strong>, 064016 (2011).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/OE.19.026132\">K.Y. Bliokh, E.A. Ostrovskaya, M.A. Alonso, O.G. Rodriguez-Herrera, D. Lara, and C. Dainty, &#8220;Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems,&#8221; Opt. Express\u00a0<strong>19<\/strong>, 26132-26149 (2011).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevA.82.063825\">K.Y. Bliokh, M.A. Alonso, E.A. Ostrovskaya, and A. Aiello, &#8220;Angular momenta and spin-orbit interaction for nonparaxial light in free space,&#8221; Phys. Rev. A\u00a0<strong>82<\/strong>, 036825 (2010).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.22.001420\">R. Borghi, M. Santarsiero, and M.A. Alonso, &#8220;Highly focused spirally polarized beams,&#8221; J. Opt. Soc. Am. A\u00a0<strong>22<\/strong>, 1420-1431 (2005).<\/a><\/li><\/ul>\n\n\n\n<p>Conference proceedings<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1117\/12.903380\">M.A. Alonso and K.Y. Bliokh, &#8220;Angular momenta and spin-orbit interaction for nonparaxial beams,&#8221; 22nd Congress of the International Commission for Optics: Light for the Development of the World, SPIE Proceedings&nbsp;<strong>8011<\/strong>, 80116H (2011).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1117\/12.873818\">K.Y. Bliokh, M.A. Alonso, and E.A. Ostrovskaya, &#8220;Angular momentum of light revisited: Spin-orbit interactions in free space,&#8221; Complex Light and Optical Forces V, SPIE Proceedings&nbsp;<strong>7950<\/strong>, 1-8 (2011).<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Interaction of strongly focused beams and spherical particles<\/strong><\/h2>\n\n\n\n<p>Journal articles<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/doi.org\/10.1103\/PhysRevA.97.053848\">R. Guti\u00e9rrez-Cuevas, N.J. Moore, and M.A. Alonso, &#8220;Lorenz-Mie scattering of focused light via complex focus fields: An analytic treatment,&#8221; Phys. Rev. A&nbsp;<strong>97<\/strong>, 053848 (2018).<\/a><\/li><li><a href=\"https:\/\/doi.org\/10.1364\/JOSAA.33.001236\">N.J. Moore and M.A. Alonso, &#8220;Mie scattering of highly focused, scalar fields: an analytic approach,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>33<\/strong>, 1236-1243 (2016).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1119\/1.3650694\">K. Lombardo and M.A. Alonso, &#8220;Two-dimensional directional basis for nonparaxial focused fields and its application to scattering,&#8221; Am. J. Phys.&nbsp;<strong>80<\/strong>, 82-93 (2012).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/OE.16.005926\">N.J. Moore and M.A. Alonso, &#8220;Closed form formula for Mie scattering of nonparaxial analogues of Gaussian beams,&#8221; Opt. Express&nbsp;<strong>16<\/strong>, 5926-5933 (2008).<\/a><\/li><\/ul>\n\n\n\n<p>Conference proceedings<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1117\/12.2006248\">M.A. Alonso, &#8220;Analytical techniques for the study of focused beams,&#8221; Proceedings of the Complex Light and Optical Forces VII conference, Photonics West, SPIE proceeding&nbsp;<strong>8637<\/strong>, 863716 (2013).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1117\/12.902197\">N.J. Moore and M.A. Alonso, &#8220;Mie scattering for high numerical aperture fields,&#8221; 22nd Congress of the International Commission for Optics: Light for the Development of the World, SPIE Proceedings&nbsp;<strong>8011<\/strong>, 801162 (2011).<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Basis expansions for nonparaxial fields<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Book chapter<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1201\/b14298-7\">M.A. Alonso and N.J. Moore, &#8220;Basis expansions for monochromatic field propagation&#8221; in Mathematical Optics: Classical, Quantum, and Imaging Methods, (CRC Press, 2013), eds. V. Lakshminarayanan, M.L. Calvo, and T. Alieva, pp. 97-141.<\/a><\/li><\/ul>\n\n\n\n<p>Journal articles<\/p>\n\n\n\n<p><a href=\"https:\/\/doi.org\/10.1364\/JOSAA.34.001697\">R. Guti\u00e9rrez-Cuevas and M.A. Alonso, &#8221;Complete confined bases for beam propagation in Cartesian coordinates&#8221; J. Opt. Soc. Am. A&nbsp;<strong>34<\/strong>, 1697-1702 (2017).<\/a><br><a href=\"https:\/\/doi.org\/10.1364\/OE.25.014856\">R. Guti\u00e9rrez-Cuevas and M.A. Alonso, &#8221;Scalar and electromagnetic nonparaxial bases composed as superpositions of simple vortex fields with complex foci,&#8221; Opt. Express&nbsp;<strong>25<\/strong>, 14856-14870 (2017).<\/a><br><a href=\"https:\/\/doi.org\/10.1364\/OL.42.002205\">R. Guti\u00e9rrez-Cuevas and M.A. Alonso, &#8221;Polynomials of Gaussians and vortex-Gaussian beams as complete, transversely confined bases,&#8221; Opt. Lett.&nbsp;<strong>42<\/strong>, 2205-2208 (2017).<\/a><br><a href=\"http:\/\/dx.doi.org\/10.1119\/1.3650694\">K. Lombardo and M.A. Alonso, &#8220;Two-dimensional directional basis for nonparaxial focused fields and its application to scattering,&#8221; Am. J. Phys.&nbsp;<strong>80<\/strong>, 82-93 (2012).<\/a><br><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.26.002211\">N.J. Moore and M.A. Alonso, &#8220;Closed-form bases for the description of monochromatic, strongly focused, electromagnetic fields,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>26<\/strong>, 2211-2218 (2009).<\/a><br><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.26.001754\">N.J. Moore and M.A. Alonso, &#8220;Bases for the description of monochromatic, strongly focused, scalar fields,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>26<\/strong>, 1754-1761 (2009).<\/a><br><a href=\"http:\/\/dx.doi.org\/10.1364\/OE.14.006894\">M.A. Alonso, R. Borghi, and M. Santarsiero, &#8220;New basis for rotationally-symmetric nonparaxial fields in terms of spherical waves with complex foci&#8221; Opt. Exp.&nbsp;<strong>14<\/strong>, 6894-6905 (2006).<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Series expansions for paraxial and nonparaxial fields<\/strong><\/h2>\n\n\n\n<p>Journal articles<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1364\/OL.36.004452\">M.R. Dennis, J.B. G\u00f6tte, R.P. King, M.A. Morgan and M.A. Alonso, &#8220;Paraxial and nonparaxial polynomial beams and the analytic approach to propagation,&#8221; Opt. Lett.&nbsp;<strong>36<\/strong>, 4452-4454 (2011).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.26.002410\">R. Borghi and M.A. Alonso, &#8220;Free-space asymptotic far-field series,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>26<\/strong>, 2410-2417 (2009).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/OL.31.003028\">M.A. Alonso and R. Borghi, &#8220;Complete far-field asymptotic series for free fields,&#8221; Opt. Lett.&nbsp;<strong>31<\/strong>, 3028-3030 (2006).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.16.001958\">M.A. Alonso, A.A. Asatryan, and G.W. Forbes, &#8220;Beyond the Fresnel approximation for focused waves,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>16<\/strong>, 1958-1969 (1999).<\/a><\/li><\/ul>\n\n\n\n<p>Conference proceedings<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1109\/ICTON.2007.4296291\">R. Borghi and M.A. Alonso, &#8220;Efficient evaluation of far-field asymptotic series,&#8221; Proceedings of the 9th IEEE International Conference on Transparent Optical Networks, 2007. ICTON (2007), vol. 3, pp. 246-250.<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Uncertainty relations for focused beams<\/strong><\/h2>\n\n\n\n<p>Journal articles<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1088\/2040-8978\/13\/6\/064016\">M.A. Alonso, &#8220;The effect of orbital angular momentum and helicity in the uncertainty-type relations between focal spot size and angular spread,&#8221; J. Opt.&nbsp;<strong>13<\/strong>, 064016 (2011).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1088\/1464-4258\/10\/3\/033001\">C.J.R. Sheppard, M.A. Alonso, and N.J. Moore, &#8220;Localization measures for high-aperture wavefields based on moments of the pupil,&#8221; J. Opt. A&nbsp;<strong>10<\/strong>, 033001 (2008).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.24.003115\">N.J. Moore, M.A. Alonso, and C.J.R. Sheppard, &#8220;Monochromatic electromagnetic fields with maximum focal energy density,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>24<\/strong>, 3115-3122 (2007).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.24.002057\">N.J. Moore, M.A. Alonso, and C.J.R. Sheppard, &#8220;Monochromatic scalar fields with maximum focal irradiance,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>24<\/strong>, 2057-2064 (2007).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.23.000933\">M.A. Alonso, R. Borghi, and M. Santarsiero, &#8220;Joint spatial-directional features for fields focused at a complex point,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>23<\/strong>, 933-939 (2006).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.23.000701\">M.A. Alonso, R. Borghi, and M. Santarsiero, &#8220;Nonparaxial fields with maximum joint spatial-directional localization. II. Vectorial case,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>23<\/strong>, 701-712 (2006).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.23.000691\">M.A. Alonso, R. Borghi, and M. Santarsiero, &#8220;Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>23<\/strong>, 691-700 (2006).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.17.002391\">M.A. Alonso and G.W. Forbes, &#8220;Uncertainty products for nonparaxial fields,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>17<\/strong>, 2391-2402 (2000).<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Other topics<\/strong><\/h2>\n\n\n\n<p>Journal articles<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/dx.doi.org\/10.1016\/j.optcom.2006.05.046\">C.J.R. Sheppard, M.A. Alonso, M. Santarsiero, and R. Borghi, &#8220;Comment on &#8216;Do evanescent waves really exist in free space?&#8217;,&#8221; Opt. Commun.&nbsp;<strong>266<\/strong>, 448-449 (2006).<\/a><\/li><li><a href=\"http:\/\/dx.doi.org\/10.1364\/JOSAA.17.001256\">M.A. Alonso, &#8220;Measurement of Helmholtz wave fields,&#8221; J. Opt. Soc. Am. A&nbsp;<strong>17<\/strong>, 1256-1264 (2000).<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>This work consists of analytic models for describing monochromatic fields focused beyond the paraxial regime, including aspects such as fundamental relations related to focal properties, the effects of polarization, closed-form complete orthonormal basis expansions (nonparaxial generalizations of Laguerre-Gaussian beams), and generalizations of Mie theory describing the interaction of these fields with spherical scatterers. Effects of &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/publications\/nonparaxial-fields-spin-orbit-interaction-basis-expansions-and-interaction-with-particles\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Nonparaxial fields: spin-orbit interaction, basis expansions, and interaction with particles&#8221;<\/span><\/a><\/p>\n","protected":false},"author":0,"featured_media":0,"parent":936,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1226","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/pages\/1226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/types\/page"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/comments?post=1226"}],"version-history":[{"count":5,"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/pages\/1226\/revisions"}],"predecessor-version":[{"id":3202,"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/pages\/1226\/revisions\/3202"}],"up":[{"embeddable":true,"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/pages\/936"}],"wp:attachment":[{"href":"https:\/\/www.hajim.rochester.edu\/optics\/alonso\/wp-json\/wp\/v2\/media?parent=1226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}