{"title":"偶极电磁脉冲与恒定磁场相互作用中的二次谐波产生","authors":"R. M. Feshchenko","doi":"10.3103/S1068335625602158","DOIUrl":null,"url":null,"abstract":"<p>We discuss the generation of nonlinear harmonics by an intense dipole electromagnetic pulse in a vacuum in the presence of a constant magnetic field. Using Maxwell’s nonlinear equations, following from the Heisenberg–Euler Lagrangian in the one-loop approximation, expressions are derived for the electromagnetic field of the second harmonic generated in this case. It is shown that the second harmonic pulse in its spatial structure is a magnetic octupole pulse if the initial electromagnetic pulse is an electric- or magnetic-dipole pulse.</p>","PeriodicalId":503,"journal":{"name":"Bulletin of the Lebedev Physics Institute","volume":"52 3 supplement","pages":"S308 - S312"},"PeriodicalIF":0.7000,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Second Harmonic Generation in the Interaction of a Dipole Electromagnetic Pulse with a Constant Magnetic Field\",\"authors\":\"R. M. Feshchenko\",\"doi\":\"10.3103/S1068335625602158\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We discuss the generation of nonlinear harmonics by an intense dipole electromagnetic pulse in a vacuum in the presence of a constant magnetic field. Using Maxwell’s nonlinear equations, following from the Heisenberg–Euler Lagrangian in the one-loop approximation, expressions are derived for the electromagnetic field of the second harmonic generated in this case. It is shown that the second harmonic pulse in its spatial structure is a magnetic octupole pulse if the initial electromagnetic pulse is an electric- or magnetic-dipole pulse.</p>\",\"PeriodicalId\":503,\"journal\":{\"name\":\"Bulletin of the Lebedev Physics Institute\",\"volume\":\"52 3 supplement\",\"pages\":\"S308 - S312\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Lebedev Physics Institute\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S1068335625602158\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Lebedev Physics Institute","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S1068335625602158","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Second Harmonic Generation in the Interaction of a Dipole Electromagnetic Pulse with a Constant Magnetic Field
We discuss the generation of nonlinear harmonics by an intense dipole electromagnetic pulse in a vacuum in the presence of a constant magnetic field. Using Maxwell’s nonlinear equations, following from the Heisenberg–Euler Lagrangian in the one-loop approximation, expressions are derived for the electromagnetic field of the second harmonic generated in this case. It is shown that the second harmonic pulse in its spatial structure is a magnetic octupole pulse if the initial electromagnetic pulse is an electric- or magnetic-dipole pulse.
期刊介绍:
Bulletin of the Lebedev Physics Institute is an international peer reviewed journal that publishes results of new original experimental and theoretical studies on all topics of physics: theoretical physics; atomic and molecular physics; nuclear physics; optics; lasers; condensed matter; physics of solids; biophysics, and others.