толық шағылады.
Түсу бұрышы iшекті>i1 > π/2 болғанда, сәуле сынбайды, яғни түскен жарық бірінші ортаға толық кері шағылады, шағылған және түскен сәулелердің қарқындылығы бірдей болады. Жарық оптикалық тығыздығы артық ортадан тығыздығы кем ортаға өткенде байқалатын осы құбылыс жарықтың толық ішкі шағылуы деп, ал iшекті бұрышы толық ішкі шағылу бұрышы немесе шекті бұрыш деп аталады. Шекті бұрыш мына қатынас арқылы анықталады:
![](data:image/png;base64,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)
Сөйтіп, толық шағылу заттың сыну көрсеткішіне байланысты. Мысалы, жуықтап алғанда ауаға қатысты судың n =1,33, сонда оның шекті бұрышы iшекті = 490, ауаға қатысты кәдімгі шынының n = 1,5, оның шекті бұрышы iшекті = 420. Сонымен, ақ жарық кәдімгі шынының бетіне түскендегі түсу бұрышы 420-тан үлкен болса, онда жарық шыны бетінен толық шағылады, ауаға өтпейді. Толық ішкі шағылу құбылысы толық шағылу призмалары мен жарық тасымалдағыштарда қолданылады.
Екі жағынан қисық бетпен шектелген мөлдір дене линза деп а
талады. Дербес жағдайда бір беті жазық болуы мүмкін. Сыртқы пішініне қарай линзалар мынадай түрлерге бөлінеді: қос дөңес, жазық дөңес, қос ойыс, жазық ойыс, дөңес-ойыс. Егер линзаның қалыңдығы линзаны шектеуші беттердің қисықтық радиустарынан әлдеқайда кем болса (d < r1), (d < r2) ондай линзалар жұқа линзалар деп аталады. Әдетте оптикалық жүйелерде линзаларды екі бағытты тілшелермен белгілейді. Дөңес бет үшін қисықтық радиусы R > 0, ал ойыс линзалар үшін R < 0. беттердің қисықтық центрі арқылы өтетін түзуді бас оптикалық өсь деп атайды.
Линзаның оптикалық центрі деп – әдетте оны (0 деп белгілейді) негізгі (ұлы) оптикалық өсьте жататын және одан өткен сәулелер сынбайтын қасиеті бар нүктені айтады.
Жанама оптикалық өсь деп – линзаның оптикалық центрі арқылы өтетін, бірақ негізгі оптикалық өсьпен сәйкес болмайтын түзуді айтады.
Линзаның F фокусы деп – ұлы оптикалық өсьте жататын, осы ұлы оптикалық өське параллель таралатын параксиалді сәулелер қиылысатын нүктені айтады.
Фокальдық жазықтық деп - линзаның фокусы арқылы өтетін, негізгі оптикалық өське перпендикуляр жатқан жазықтықты айтады.
Фокустық ара қашықтық f деп – линзаның оптикалық центрі О мен линзаның F фокусы арасындағы қашықтықты айтады.
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