Reflection and Refraction of Light in Absorbing Media
The results of a rigorous calculation of optical phenomena in absorbing media based on Maxwell’s equations are reported. In the case of an absorbing dielectric, we assume a complex dielectric constant. We find an expression for the angle of refraction as a function of the incident angle and the real...
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Veröffentlicht in: | Journal of the Physical Society of Japan 2018-05, Vol.87 (5), p.54401 |
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creator | Katsumata, Koichi Sasaki, Shosuke |
description | The results of a rigorous calculation of optical phenomena in absorbing media based on Maxwell’s equations are reported. In the case of an absorbing dielectric, we assume a complex dielectric constant. We find an expression for the angle of refraction as a function of the incident angle and the real and imaginary parts of the complex dielectric constant, all of which are real. The amplitudes of the reflected and transmitted waves are calculated on the same footing. These amplitudes are shown to be complex, from which we deduce the magnitude and phase change of the reflection and transmission coefficients. The same argument applies to an absorbing magnetic material if we replace the complex dielectric constant by a complex magnetic permeability. |
doi_str_mv | 10.7566/JPSJ.87.054401 |
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In the case of an absorbing dielectric, we assume a complex dielectric constant. We find an expression for the angle of refraction as a function of the incident angle and the real and imaginary parts of the complex dielectric constant, all of which are real. The amplitudes of the reflected and transmitted waves are calculated on the same footing. These amplitudes are shown to be complex, from which we deduce the magnitude and phase change of the reflection and transmission coefficients. The same argument applies to an absorbing magnetic material if we replace the complex dielectric constant by a complex magnetic permeability.</description><identifier>ISSN: 0031-9015</identifier><identifier>EISSN: 1347-4073</identifier><identifier>DOI: 10.7566/JPSJ.87.054401</identifier><language>eng</language><publisher>Tokyo: The Physical Society of Japan</publisher><subject>Amplitudes ; Dielectrics ; Light reflection ; Magnetic materials ; Magnetic permeability ; Magnetism ; Mathematical analysis ; Optics ; Permittivity ; Phase transitions ; Refraction</subject><ispartof>Journal of the Physical Society of Japan, 2018-05, Vol.87 (5), p.54401</ispartof><rights>Copyright The Physical Society of Japan May 15, 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-81247bbd1ad0783e8cbad260553660f24e6df7429ac7c56dbf577360ab8053093</citedby><cites>FETCH-LOGICAL-c360t-81247bbd1ad0783e8cbad260553660f24e6df7429ac7c56dbf577360ab8053093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids></links><search><creatorcontrib>Katsumata, Koichi</creatorcontrib><creatorcontrib>Sasaki, Shosuke</creatorcontrib><title>Reflection and Refraction of Light in Absorbing Media</title><title>Journal of the Physical Society of Japan</title><description>The results of a rigorous calculation of optical phenomena in absorbing media based on Maxwell’s equations are reported. In the case of an absorbing dielectric, we assume a complex dielectric constant. We find an expression for the angle of refraction as a function of the incident angle and the real and imaginary parts of the complex dielectric constant, all of which are real. The amplitudes of the reflected and transmitted waves are calculated on the same footing. These amplitudes are shown to be complex, from which we deduce the magnitude and phase change of the reflection and transmission coefficients. The same argument applies to an absorbing magnetic material if we replace the complex dielectric constant by a complex magnetic permeability.</description><subject>Amplitudes</subject><subject>Dielectrics</subject><subject>Light reflection</subject><subject>Magnetic materials</subject><subject>Magnetic permeability</subject><subject>Magnetism</subject><subject>Mathematical analysis</subject><subject>Optics</subject><subject>Permittivity</subject><subject>Phase transitions</subject><subject>Refraction</subject><issn>0031-9015</issn><issn>1347-4073</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNotkEtLAzEUhYMoWKtb1wOuZ7x53nRZiq8yovhYh2SS1Cl1pibThf_eKePqcOA84CPkmkKFUqnb9ev7utJYgRQC6AmZUS6wFID8lMwAOC0XQOU5uch5C8AkZWJG5FuIu9AMbd8VtvPFaJOdbB-Lut18DUXbFUuX--TablM8B9_aS3IW7S6Hq3-dk8_7u4_VY1m_PDytlnXZcAVDqccLdM5T6wE1D7px1jMFUnKlIDIRlI8o2MI22EjlXZSIY9M6DZLDgs_JzbS7T_3PIeTBbPtD6sZLwyhojYwKHFPVlGpSn3MK0exT-23Tr6FgjmjMEY3RaCY0_A9RB1Rx</recordid><startdate>20180515</startdate><enddate>20180515</enddate><creator>Katsumata, Koichi</creator><creator>Sasaki, Shosuke</creator><general>The Physical Society of Japan</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20180515</creationdate><title>Reflection and Refraction of Light in Absorbing Media</title><author>Katsumata, Koichi ; Sasaki, Shosuke</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-81247bbd1ad0783e8cbad260553660f24e6df7429ac7c56dbf577360ab8053093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Amplitudes</topic><topic>Dielectrics</topic><topic>Light reflection</topic><topic>Magnetic materials</topic><topic>Magnetic permeability</topic><topic>Magnetism</topic><topic>Mathematical analysis</topic><topic>Optics</topic><topic>Permittivity</topic><topic>Phase transitions</topic><topic>Refraction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Katsumata, Koichi</creatorcontrib><creatorcontrib>Sasaki, Shosuke</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of the Physical Society of Japan</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Katsumata, Koichi</au><au>Sasaki, Shosuke</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Reflection and Refraction of Light in Absorbing Media</atitle><jtitle>Journal of the Physical Society of Japan</jtitle><date>2018-05-15</date><risdate>2018</risdate><volume>87</volume><issue>5</issue><spage>54401</spage><pages>54401-</pages><issn>0031-9015</issn><eissn>1347-4073</eissn><abstract>The results of a rigorous calculation of optical phenomena in absorbing media based on Maxwell’s equations are reported. In the case of an absorbing dielectric, we assume a complex dielectric constant. We find an expression for the angle of refraction as a function of the incident angle and the real and imaginary parts of the complex dielectric constant, all of which are real. The amplitudes of the reflected and transmitted waves are calculated on the same footing. These amplitudes are shown to be complex, from which we deduce the magnitude and phase change of the reflection and transmission coefficients. The same argument applies to an absorbing magnetic material if we replace the complex dielectric constant by a complex magnetic permeability.</abstract><cop>Tokyo</cop><pub>The Physical Society of Japan</pub><doi>10.7566/JPSJ.87.054401</doi></addata></record> |
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subjects | Amplitudes Dielectrics Light reflection Magnetic materials Magnetic permeability Magnetism Mathematical analysis Optics Permittivity Phase transitions Refraction |
title | Reflection and Refraction of Light in Absorbing Media |
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