Verdet doimiy

Verdet doimiysi fransuz fizigi Emile Verdet nomi bilan atalgan optik doimiydir. Bu ma'lum bir muhit uchun Faradey effektining kuchini tavsiflaydi. ^[1] Yorug'lik tarqalish yo'nalishiga parallel bo'lgan doimiy magnit maydon uchun uni quyidagicha hisoblash mumkin: ^[2]

\theta =VBL

Bu yerda $\theta$ - boshlang'ich va yakuniy qutblanish tekisliklari orasidagi burchak, $V$ - Verdet doimiysi, $B$ - magnit maydon induksiyasi va $L$ - yorug'likning muhitda bosib o'tgan yo'li.

Moddaning Verdet doimiysi to'lqin uzunligiga bog'liq va aksariyat moddalar uchun juda kichikdir. Terbiyum kabi paramagnit ionlarni o'z ichiga olgan moddalarda o'zining eng katta qiymatlariga erishadi. Normal muhitdagi eng yuqori Verdet doimiysi terbium qo'shilgan zich chaqmoqtosh shishalarda yoki terbium galyum granatasi (TGG) kristallarida topilgan. Ushbu materiallar mukammal shaffoflikxususiyatlariga ega va lazer nurlanishi ta'sirida vujudga kelishi mumkin bo'lgan shikastlanishlarga chidamli. Atom bug'lari TGG dan kattaroq Verdet doimiysiga ega bo'lishi mumkin,^[3] faqat juda tor to'lqin uzunligi oralig'ida. Shuning uchun gidroksid bug'lari optik izolyator ^[4] yoki juda sezgir magnitometr sifatida ishlatilishi mumkin.

Faradey effekti xromatik (ya'ni to'lqin uzunligiga bog'liq) va shuning uchun Verdet doimiysi to'lqin uzunligiga juda kuchli bog'langan. ^[5] ^[6] 632,8 nm da TGG uchun Verdet doimiysi 2997866000000000000♠−134 rad/(T·m) ga teng bo'lgan juda katta qiymatni qabul qiladi, to'lqin uzunligining 2 marta ortishi bilan, ya'ni 1064 nmda 2998600000000000000♠−40 rad/(T·m) qiymatgacha tushadi. ^[7] Ushbu pasayish shuni anglatadi-ki, bir to'lqin uzunligida ma'lum darajadagi aylanishga ega qurilmalar kattaroq to'lqin uzunliklarida kamroq aylanish hosil qiladi. Ko'pgina Faradey rotator(burgich)lari va izolyatorlari qurilmaning magnit maydoniga faol TGGini kiritish darajasini o'zgartirish orqali sozlanadi. Shu tarzda, qurilma lazer diapazonida foydalanish uchun sozlanishi mumkin. Haqiqatan ham keng polosali manbalar (masalan , ultra qisqa pulsli lazerlar va sozlanishi mumkin bo'lgan vibronik lazerlar ) butun to'lqin uzunligi diapazoni bo'ylab turli xil aylanishni namoyon etadi.

Havolalar

↑ Vojna, David; Slezák, Ondřej; Lucianetti, Antonio; Mocek, Tomáš (2019). "Verdet Constant of Magneto-Active Materials Developed for High-Power Faraday Devices". Applied Sciences 9 (15): 3160. doi:10.3390/app9153160.
↑ Kruk, Andrzej; Mrózek, Mariusz (2020). "The measurement of Faraday effect of translucent material in the entire visible spectrum". Measurement (Elsevier BV) 162: 107912. doi:10.1016/j.measurement.2020.107912. ISSN 0263-2241.
↑ Siddons, Paul; Bell, Nia C.; Cai, Yifei; Adams, Charles S.; Hughes, Ifan G. (2009). "A gigahertz-bandwidth atomic probe based on the slow-light Faraday effect". Nature Photonics 3 (4): 225. doi:10.1038/nphoton.2009.27.
↑ Weller, L.; Kleinbach, K. S.; Zentile, M. A.; Knappe, S.; Hughes, I. G.; Adams, C. S. (2012). "Optical isolator using an atomic vapor in the hyperfine Paschen–Back regime". Optics Letters 37 (16): 3405–3407. doi:10.1364/OL.37.003405. PMID 23381272.
↑ Vojna, David; Slezák, Ondřej; Yasuhara, Ryo; Furuse, Hiroaki; Lucianetti, Antonio; Mocek, Tomáš (2020). "Faraday Rotation of Dy2O3, CeF3 and Y3Fe5O12 at the Mid-Infrared Wavelengths". Materials 13 (23): 5324. doi:10.3390/ma13235324. PMID 33255447. PMC 7727863. //www.pubmedcentral.nih.gov/articlerender.fcgi?tool=pmcentrez&artid=7727863.
↑ Vojna, David; Duda, Martin; Yasuhara, Ryo; Slezák, Ondřej; Schlichting, Wolfgang; Stevens, Kevin; Chen, Hengjun; Lucianetti, Antonio et al. (2020). "Verdet constant of potassium terbium fluoride crystal as a function of wavelength and temperature". Opt. Lett. 45 (7): 1683–1686. doi:10.1364/ol.387911. PMID 32235973. https://www.osapublishing.org/ol/fulltext.cfm?uri=ol-45-7-1683&id=429076.
↑ „Archived copy“. 2016-yil 18-aprelda asl nusxadan arxivlangan. Qaraldi: 2015-yil 11-fevral.

[1] Vojna, David; Slezák, Ondřej; Lucianetti, Antonio; Mocek, Tomáš (2019). "Verdet Constant of Magneto-Active Materials Developed for High-Power Faraday Devices". Applied Sciences 9 (15): 3160. doi:10.3390/app9153160.

[2] Kruk, Andrzej; Mrózek, Mariusz (2020). "The measurement of Faraday effect of translucent material in the entire visible spectrum". Measurement (Elsevier BV) 162: 107912. doi:10.1016/j.measurement.2020.107912. ISSN 0263-2241.

[3] Siddons, Paul; Bell, Nia C.; Cai, Yifei; Adams, Charles S.; Hughes, Ifan G. (2009). "A gigahertz-bandwidth atomic probe based on the slow-light Faraday effect". Nature Photonics 3 (4): 225. doi:10.1038/nphoton.2009.27.

[4] Weller, L.; Kleinbach, K. S.; Zentile, M. A.; Knappe, S.; Hughes, I. G.; Adams, C. S. (2012). "Optical isolator using an atomic vapor in the hyperfine Paschen–Back regime". Optics Letters 37 (16): 3405–3407. doi:10.1364/OL.37.003405. PMID 23381272.

[5] Vojna, David; Slezák, Ondřej; Yasuhara, Ryo; Furuse, Hiroaki; Lucianetti, Antonio; Mocek, Tomáš (2020). "Faraday Rotation of Dy2O3, CeF3 and Y3Fe5O12 at the Mid-Infrared Wavelengths". Materials 13 (23): 5324. doi:10.3390/ma13235324. PMID 33255447. PMC 7727863. //www.pubmedcentral.nih.gov/articlerender.fcgi?tool=pmcentrez&artid=7727863.

[6] Vojna, David; Duda, Martin; Yasuhara, Ryo; Slezák, Ondřej; Schlichting, Wolfgang; Stevens, Kevin; Chen, Hengjun; Lucianetti, Antonio et al. (2020). "Verdet constant of potassium terbium fluoride crystal as a function of wavelength and temperature". Opt. Lett. 45 (7): 1683–1686. doi:10.1364/ol.387911. PMID 32235973. https://www.osapublishing.org/ol/fulltext.cfm?uri=ol-45-7-1683&id=429076.

[7] „Archived copy“. 2016-yil 18-aprelda asl nusxadan arxivlangan. Qaraldi: 2015-yil 11-fevral.

[1]

[2]

[3]

[4]

[5]

[6]

[7]