{"id":{"repo_id":"ohiolink","oai_identifier":"oai:etd.ohiolink.edu:toledo1365156891"},"canonical_url":"https://search.dev.ndltd.org/etd/ohiolink/oai:etd.ohiolink.edu:toledo1365156891","repository":{"repo_id":"ohiolink","name":"OhioLINK","base_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/oai/oai"},"display":{"title":"Amplified Total Internal Reflection at the Surface of Gain Medium","abstract":"Total Internal Reflection (TIR) is the phenomenon whereby a light wave incidenton a boundary is completely reflected when the wave’s incidence angle exceeds a crit-ical angle. For decades there has been debate about whether amplified TIR froma medium exhibiting optical gain is possible, and desire for a theory to explain it.Authors have suggested theories both in favor and in doubt of the phenomenon’s ex-istence, and experimental evidence has arose supporting the existence and seeminglysimultaneously contradicting proposed theoretical models. In this thesis, reflectioncoefficients for plane waves are calculated by satisfying boundary conditions fromMaxwell’s equations at the reflecting surface for both optically lossy and gainy me-dia. Plane wave reflectivity is found to exhibit is discontinuous jump from belowunity to above as the incidence angle passes through the critical angle, confirmingthe existence of amplified TIR. Fourier analysis is used to show that finite beams alsoexhibit amplified TIR, but do not experience the surprising discontinuous jump inreflectivity at the critical angle.","abstract_html":"Total Internal Reflection (TIR) is the phenomenon whereby a light wave incidenton a boundary is completely reflected when the wave’s incidence angle exceeds a crit-ical angle. For decades there has been debate about whether amplified TIR froma medium exhibiting optical gain is possible, and desire for a theory to explain it.Authors have suggested theories both in favor and in doubt of the phenomenon’s ex-istence, and experimental evidence has arose supporting the existence and seeminglysimultaneously contradicting proposed theoretical models. In this thesis, reflectioncoefficients for plane waves are calculated by satisfying boundary conditions fromMaxwell’s equations at the reflecting surface for both optically lossy and gainy me-dia. Plane wave reflectivity is found to exhibit is discontinuous jump from belowunity to above as the incidence angle passes through the critical angle, confirmingthe existence of amplified TIR. Fourier analysis is used to show that finite beams alsoexhibit amplified TIR, but do not experience the surprising discontinuous jump inreflectivity at the critical angle.","abstract_has_math":false,"creators":["Orndorff, Josh"],"institution":"University of Toledo","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Karpov, Victor"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08-22","date_published":"2013-08-22","updated_at":"2026-07-24T03:37:16Z","subjects":["Physics","Optics","single surface","amplified","total internal reflection","TIR","gain medium","popuilation inversion","reflectivity","maxwell's equations","optically active","plane waves","gaussian beam"],"languages":["English"],"rights":["unrestricted","This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. 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For decades there has been debate about whether amplified TIR froma medium exhibiting optical gain is possible, and desire for a theory to explain it.Authors have suggested theories both in favor and in doubt of the phenomenon’s ex-istence, and experimental evidence has arose supporting the existence and seeminglysimultaneously contradicting proposed theoretical models. In this thesis, reflectioncoefficients for plane waves are calculated by satisfying boundary conditions fromMaxwell’s equations at the reflecting surface for both optically lossy and gainy me-dia. Plane wave reflectivity is found to exhibit is discontinuous jump from belowunity to above as the incidence angle passes through the critical angle, confirmingthe existence of amplified TIR. Fourier analysis is used to show that finite beams alsoexhibit amplified TIR, but do not experience the surprising discontinuous jump inreflectivity at the critical angle."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf","p.66","940.3 KB"]},{"key":"dc:title","label":"Title","values":["Amplified Total Internal Reflection at the Surface of Gain Medium"]}]}],"canonical_facts":{"dc:contributor":["Karpov, Victor"],"dc:creator":["Orndorff, Josh"],"dc:date":["2013-08-22"],"dc:description":["Total Internal Reflection (TIR) is the phenomenon whereby a light wave incidenton a boundary is completely reflected when the wave’s incidence angle exceeds a crit-ical angle. For decades there has been debate about whether amplified TIR froma medium exhibiting optical gain is possible, and desire for a theory to explain it.Authors have suggested theories both in favor and in doubt of the phenomenon’s ex-istence, and experimental evidence has arose supporting the existence and seeminglysimultaneously contradicting proposed theoretical models. In this thesis, reflectioncoefficients for plane waves are calculated by satisfying boundary conditions fromMaxwell’s equations at the reflecting surface for both optically lossy and gainy me-dia. Plane wave reflectivity is found to exhibit is discontinuous jump from belowunity to above as the incidence angle passes through the critical angle, confirmingthe existence of amplified TIR. Fourier analysis is used to show that finite beams alsoexhibit amplified TIR, but do not experience the surprising discontinuous jump inreflectivity at the critical angle."],"dc:format":["application/pdf","p.66","940.3 KB"],"dc:identifier":["http://rave.ohiolink.edu/etdc/view?acc_num=toledo1365156891"],"dc:language":["English"],"dc:publisher":["University of Toledo / OhioLINK"],"dc:rights":["unrestricted","This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. 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