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Susceptibility for inhomogeneously broadened three-level atomic systems: Simple analytical solutions using Lorentzian distribution
We calculate the susceptibility analytically in Doppler-broadened three-level atomic systems using a Lorentzian function instead of a Gaussian function. Based on the results by Noh and Moon [H.R. Noh, H.S. Moon, J. Phys. B 45 (2012) 245002], we obtained simple analytical solutions of the susceptibil...
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Published in: | Optics communications 2013-11, Vol.309, p.227-230 |
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container_title | Optics communications |
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creator | Noh, Heung-Ryoul Seb Moon, Han |
description | We calculate the susceptibility analytically in Doppler-broadened three-level atomic systems using a Lorentzian function instead of a Gaussian function. Based on the results by Noh and Moon [H.R. Noh, H.S. Moon, J. Phys. B 45 (2012) 245002], we obtained simple analytical solutions of the susceptibility using rational functions. We compared the calculated results obtained using a Gaussian function with those obtained using a Lorentzian function, and found good agreement between the two. These analytical results will be useful in various types of laser spectroscopy, such as electromagnetically induced transparency or absorption. |
doi_str_mv | 10.1016/j.optcom.2013.07.020 |
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Based on the results by Noh and Moon [H.R. Noh, H.S. Moon, J. Phys. B 45 (2012) 245002], we obtained simple analytical solutions of the susceptibility using rational functions. We compared the calculated results obtained using a Gaussian function with those obtained using a Lorentzian function, and found good agreement between the two. 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Based on the results by Noh and Moon [H.R. Noh, H.S. Moon, J. Phys. B 45 (2012) 245002], we obtained simple analytical solutions of the susceptibility using rational functions. We compared the calculated results obtained using a Gaussian function with those obtained using a Lorentzian function, and found good agreement between the two. These analytical results will be useful in various types of laser spectroscopy, such as electromagnetically induced transparency or absorption.</description><subject>Accuracy</subject><subject>Doppler effect</subject><subject>Gaussian</subject><subject>Laser spectroscopy</subject><subject>Lorentzian</subject><subject>Mathematical analysis</subject><subject>Moon</subject><subject>Rational functions</subject><subject>Susceptibility</subject><issn>0030-4018</issn><issn>1873-0310</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kMFu1DAQhi0EEsvCG3DwkUvCON5sbA5IqKJQaSUO7d2ynUk7KycOtlMpHHly0i7nnkajmf-Xvo-xjwJqAeL4-VzHufg41g0IWUNXQwOv2E6oTlYgBbxmOwAJ1QGEesve5XwGAHGQasf-3i7Z41zIUaCy8iEmTtNDHOM9ThiXHFbuUrT9tvW8PCTEKuAjBm5LHMnzvOaCY_7Cb2mcA3I72bAW8jbwHMNSKE6ZL5mme36KCafyh-zEe8olkXs-v2dvBhsyfvg_9-zu-vvd1c_q9OvHzdW3U-UbpUolpWpVp8XQaKVdg61DeQQ1aCcV6LbzQh9a7DuntFbCCe9167zyTesGZTu5Z58utXOKvxfMxYy0oYdgnzmNOHaiVaLdTO3Z4fLqU8w54WDmRKNNqxFgnoybs7kYN0_GDXRmM77Fvl5iuFE8EiaTPeHksaeEvpg-0ssF_wCb6I_1</recordid><startdate>20131115</startdate><enddate>20131115</enddate><creator>Noh, Heung-Ryoul</creator><creator>Seb Moon, Han</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20131115</creationdate><title>Susceptibility for inhomogeneously broadened three-level atomic systems: Simple analytical solutions using Lorentzian distribution</title><author>Noh, Heung-Ryoul ; Seb Moon, Han</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-33858791f2989b2e5be3608f9b380957c1945ed7b89981b1cc95bc8c25bf8a73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Accuracy</topic><topic>Doppler effect</topic><topic>Gaussian</topic><topic>Laser spectroscopy</topic><topic>Lorentzian</topic><topic>Mathematical analysis</topic><topic>Moon</topic><topic>Rational functions</topic><topic>Susceptibility</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Noh, Heung-Ryoul</creatorcontrib><creatorcontrib>Seb Moon, Han</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</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>Optics communications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Noh, Heung-Ryoul</au><au>Seb Moon, Han</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Susceptibility for inhomogeneously broadened three-level atomic systems: Simple analytical solutions using Lorentzian distribution</atitle><jtitle>Optics communications</jtitle><date>2013-11-15</date><risdate>2013</risdate><volume>309</volume><spage>227</spage><epage>230</epage><pages>227-230</pages><issn>0030-4018</issn><eissn>1873-0310</eissn><abstract>We calculate the susceptibility analytically in Doppler-broadened three-level atomic systems using a Lorentzian function instead of a Gaussian function. 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subjects | Accuracy Doppler effect Gaussian Laser spectroscopy Lorentzian Mathematical analysis Moon Rational functions Susceptibility |
title | Susceptibility for inhomogeneously broadened three-level atomic systems: Simple analytical solutions using Lorentzian distribution |
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