Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics
This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance wit...
Ausführliche Beschreibung
Autor*in: |
Bhattacharjee, Pramode Ranjan [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2018transfer abstract |
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Umfang: |
6 |
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Übergeordnetes Werk: |
Enthalten in: Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment - Cheng, Cheng ELSEVIER, 2020, international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy, München |
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Übergeordnetes Werk: |
volume:172 ; year:2018 ; pages:1187-1192 ; extent:6 |
Links: |
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DOI / URN: |
10.1016/j.ijleo.2018.06.144 |
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Katalog-ID: |
ELV043885470 |
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10.1016/j.ijleo.2018.06.144 doi GBV00000000000682.pica (DE-627)ELV043885470 (ELSEVIER)S0030-4026(18)30954-9 DE-627 ger DE-627 rakwb eng 333.7 VZ 43.00 bkl Bhattacharjee, Pramode Ranjan verfasserin aut Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics 2018transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. Critical angle Elsevier Unit vector Elsevier Vector algebra Elsevier Angle of reflection Elsevier Angle of incidence Elsevier Angle of refraction Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:172 year:2018 pages:1187-1192 extent:6 https://doi.org/10.1016/j.ijleo.2018.06.144 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 172 2018 1187-1192 6 |
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10.1016/j.ijleo.2018.06.144 doi GBV00000000000682.pica (DE-627)ELV043885470 (ELSEVIER)S0030-4026(18)30954-9 DE-627 ger DE-627 rakwb eng 333.7 VZ 43.00 bkl Bhattacharjee, Pramode Ranjan verfasserin aut Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics 2018transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. Critical angle Elsevier Unit vector Elsevier Vector algebra Elsevier Angle of reflection Elsevier Angle of incidence Elsevier Angle of refraction Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:172 year:2018 pages:1187-1192 extent:6 https://doi.org/10.1016/j.ijleo.2018.06.144 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 172 2018 1187-1192 6 |
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10.1016/j.ijleo.2018.06.144 doi GBV00000000000682.pica (DE-627)ELV043885470 (ELSEVIER)S0030-4026(18)30954-9 DE-627 ger DE-627 rakwb eng 333.7 VZ 43.00 bkl Bhattacharjee, Pramode Ranjan verfasserin aut Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics 2018transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. Critical angle Elsevier Unit vector Elsevier Vector algebra Elsevier Angle of reflection Elsevier Angle of incidence Elsevier Angle of refraction Elsevier Enthalten in Elsevier Cheng, Cheng ELSEVIER Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment 2020 international journal for light and electron optics : official journal of the German Society of Applied Optics and the German Society of Electron Microscopy München (DE-627)ELV004102533 volume:172 year:2018 pages:1187-1192 extent:6 https://doi.org/10.1016/j.ijleo.2018.06.144 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-GGO 43.00 Umweltforschung Umweltschutz: Allgemeines VZ AR 172 2018 1187-1192 6 |
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Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics |
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Bhattacharjee, Pramode Ranjan |
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Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment |
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Tracking variation of fluorescent dissolved organic matter during full-scale printing and dyeing wastewater treatment |
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Bhattacharjee, Pramode Ranjan |
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Bhattacharjee, Pramode Ranjan |
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10.1016/j.ijleo.2018.06.144 |
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title_sort |
refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics |
title_auth |
Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics |
abstract |
This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. |
abstractGer |
This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. |
abstract_unstemmed |
This paper considers the definitions of angles of incidence, reflection, refraction as well as critical angle in the long-running literature of ray optics. The traditional definition of each of those angles has been found to be ambiguous on account of the fact that it is not at all in compliance with the fundamental definition of angle in geometry. With a view to getting rid of such ambiguity and bringing sophistication in the relevant field of study, an attempt has been made to refine the definition of each of the aforesaid four angles appearing in geometrical optics. Based on the refined definitions of angle of incidence and angle of refraction, the novel unambiguous concept of critical angle has been finally offered using simultaneously the generalized vectorial law of refraction developed by the author in 2005. |
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title_short |
Refinement of the definitions of angles of incidence, reflection, refraction, and critical angle in ray optics |
url |
https://doi.org/10.1016/j.ijleo.2018.06.144 |
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up_date |
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