Lagrangian Optics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
2002
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems |
| Beschreibung: | 1 Online-Ressource (X, 227 p) |
| ISBN: | 9781461517115 9780792375821 |
| DOI: | 10.1007/978-1-4615-1711-5 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042411540 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150316s2002 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461517115 |c Online |9 978-1-4615-1711-5 | ||
| 020 | |a 9780792375821 |c Print |9 978-0-7923-7582-1 | ||
| 024 | 7 | |a 10.1007/978-1-4615-1711-5 |2 doi | |
| 035 | |a (OCoLC)905356344 | ||
| 035 | |a (DE-599)BVBBV042411540 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-83 | ||
| 082 | 0 | |a 621.36 |2 23 | |
| 084 | |a PHY 000 |2 stub | ||
| 100 | 1 | |a Lakshminarayanan, Vasudevan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lagrangian Optics |c by Vasudevan Lakshminarayanan, Ajoy K. Ghatak, K. Thyagarajan |
| 264 | 1 | |a Boston, MA |b Springer US |c 2002 | |
| 300 | |a 1 Online-Ressource (X, 227 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems | ||
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Computer engineering | |
| 650 | 4 | |a Optics, Optoelectronics, Plasmonics and Optical Devices | |
| 650 | 4 | |a Electrical Engineering | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Geometrische Optik |0 (DE-588)4020241-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Geometrische Optik |0 (DE-588)4020241-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Ghatak, Ajoy K. |e Sonstige |4 oth | |
| 700 | 1 | |a Thyagarajan, K. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4615-1711-5 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-PHA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-PHA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027847033 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153073082302464 |
|---|---|
| any_adam_object | |
| author | Lakshminarayanan, Vasudevan |
| author_facet | Lakshminarayanan, Vasudevan |
| author_role | aut |
| author_sort | Lakshminarayanan, Vasudevan |
| author_variant | v l vl |
| building | Verbundindex |
| bvnumber | BV042411540 |
| classification_tum | PHY 000 |
| collection | ZDB-2-PHA ZDB-2-BAE |
| ctrlnum | (OCoLC)905356344 (DE-599)BVBBV042411540 |
| dewey-full | 621.36 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.36 |
| dewey-search | 621.36 |
| dewey-sort | 3621.36 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1007/978-1-4615-1711-5 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03400nmm a2200517zc 4500</leader><controlfield tag="001">BV042411540</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150316s2002 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461517115</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4615-1711-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780792375821</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-7923-7582-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4615-1711-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)905356344</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042411540</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">621.36</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lakshminarayanan, Vasudevan</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lagrangian Optics</subfield><subfield code="c">by Vasudevan Lakshminarayanan, Ajoy K. Ghatak, K. Thyagarajan</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Springer US</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 227 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Optics, Optoelectronics, Plasmonics and Optical Devices</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrical Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applications of Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geometrische Optik</subfield><subfield code="0">(DE-588)4020241-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Geometrische Optik</subfield><subfield code="0">(DE-588)4020241-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ghatak, Ajoy K.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Thyagarajan, K.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4615-1711-5</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-PHA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-PHA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027847033</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042411540 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:48Z |
| institution | BVB |
| isbn | 9781461517115 9780792375821 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027847033 |
| oclc_num | 905356344 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (X, 227 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer US |
| record_format | marc |
| spelling | Lakshminarayanan, Vasudevan Verfasser aut Lagrangian Optics by Vasudevan Lakshminarayanan, Ajoy K. Ghatak, K. Thyagarajan Boston, MA Springer US 2002 1 Online-Ressource (X, 227 p) txt rdacontent c rdamedia cr rdacarrier Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems Physics Mathematics Mechanics Computer engineering Optics, Optoelectronics, Plasmonics and Optical Devices Electrical Engineering Applications of Mathematics Mathematik Geometrische Optik (DE-588)4020241-0 gnd rswk-swf Geometrische Optik (DE-588)4020241-0 s 1\p DE-604 Ghatak, Ajoy K. Sonstige oth Thyagarajan, K. Sonstige oth https://doi.org/10.1007/978-1-4615-1711-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lakshminarayanan, Vasudevan Lagrangian Optics Physics Mathematics Mechanics Computer engineering Optics, Optoelectronics, Plasmonics and Optical Devices Electrical Engineering Applications of Mathematics Mathematik Geometrische Optik (DE-588)4020241-0 gnd |
| subject_GND | (DE-588)4020241-0 |
| title | Lagrangian Optics |
| title_auth | Lagrangian Optics |
| title_exact_search | Lagrangian Optics |
| title_full | Lagrangian Optics by Vasudevan Lakshminarayanan, Ajoy K. Ghatak, K. Thyagarajan |
| title_fullStr | Lagrangian Optics by Vasudevan Lakshminarayanan, Ajoy K. Ghatak, K. Thyagarajan |
| title_full_unstemmed | Lagrangian Optics by Vasudevan Lakshminarayanan, Ajoy K. Ghatak, K. Thyagarajan |
| title_short | Lagrangian Optics |
| title_sort | lagrangian optics |
| topic | Physics Mathematics Mechanics Computer engineering Optics, Optoelectronics, Plasmonics and Optical Devices Electrical Engineering Applications of Mathematics Mathematik Geometrische Optik (DE-588)4020241-0 gnd |
| topic_facet | Physics Mathematics Mechanics Computer engineering Optics, Optoelectronics, Plasmonics and Optical Devices Electrical Engineering Applications of Mathematics Mathematik Geometrische Optik |
| url | https://doi.org/10.1007/978-1-4615-1711-5 |
| work_keys_str_mv | AT lakshminarayananvasudevan lagrangianoptics AT ghatakajoyk lagrangianoptics AT thyagarajank lagrangianoptics |