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+{"segments": [{"id": 1, "seek": 2080, "start": 1.48, "end": 20.8, "text": "بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ Geometric Optics، ووصلنا لموضوع الـ Paraxial Ray Tracing Through Convex Spherical Lenses، هذه المحاضرة حقيقة تعتمد على المحاضرة السابقة، و اللي بنذكر في بعض المعلومات اللي وردت فيها، بنقول أي أشعة موازية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 12399, 44945, 2407, 33546, 1211, 20449, 3714, 5016, 46958, 2288, 9307, 2423, 39184, 2876, 29470, 21455, 1167, 12399, 4032, 2407, 36520, 8315, 32767, 2407, 11242, 45367, 2423, 39184, 3457, 2797, 831, 10883, 1765, 5615, 8927, 2656, 303, 87, 1738, 34340, 441, 9085, 12399, 29538, 9673, 5016, 46958, 25720, 11331, 38436, 28671, 6055, 34268, 2304, 3215, 15844, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 12399, 4032, 13672, 1829, 44945, 8848, 37983, 8978, 45030, 11242, 9673, 30241, 20498, 9307, 13672, 1829, 4032, 2288, 3215, 2655, 8978, 11296, 12399, 44945, 39648, 36632, 5551, 8592, 27884, 3714, 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So, is it okay to use retracing or drawing if I have a thick lens?", "tokens": [6455, 613, 2283, 300, 321, 366, 516, 281, 751, 466, 11, 321, 366, 516, 281, 751, 466, 5862, 18059, 11, 558, 42432, 6765, 11, 37300, 6765, 11, 457, 436, 366, 5862, 18059, 13, 407, 11, 307, 309, 1392, 281, 764, 23106, 5615, 420, 6316, 498, 286, 362, 257, 5060, 6765, 30], "avg_logprob": -0.574218756877459, "compression_ratio": 1.5579710144927537, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 181.4, "end": 181.66, "word": "So", "probability": 0.338134765625}, {"start": 181.66, "end": 181.9, "word": " these", "probability": 0.1419677734375}, {"start": 181.9, "end": 182.2, "word": " words", "probability": 0.72265625}, {"start": 182.2, "end": 182.34, "word": " that", "probability": 0.417724609375}, {"start": 182.34, "end": 182.54, "word": " we", "probability": 0.6640625}, {"start": 182.54, "end": 182.54, "word": " are", "probability": 0.281494140625}, {"start": 182.54, "end": 182.56, "word": " 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I have a thick lens, yes I can use it", "tokens": [8031, 286, 362, 257, 5060, 6765, 11, 2086, 286, 393, 764, 309], "avg_logprob": -0.8948317491091214, "compression_ratio": 0.851063829787234, "no_speech_prob": 0.9912109375, "words": [{"start": 197.6, "end": 197.84, "word": "If", "probability": 0.042633056640625}, {"start": 197.84, "end": 197.86, "word": " I", "probability": 0.59765625}, {"start": 197.86, "end": 198.22, "word": " have", "probability": 0.6708984375}, {"start": 198.22, "end": 198.32, "word": " a", "probability": 0.62353515625}, {"start": 198.32, "end": 198.56, "word": " thick", "probability": 0.5615234375}, {"start": 198.56, "end": 198.9, "word": " lens,", "probability": 0.88525390625}, {"start": 199.0, "end": 199.14, "word": " yes", "probability": 0.220947265625}, {"start": 199.14, "end": 199.28, "word": " I", "probability": 0.284912109375}, {"start": 199.28, "end": 199.36, "word": " can", "probability": 0.6650390625}, {"start": 199.36, "end": 200.42, "word": " use", 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overlap at the optical center of the lens. The central ray, or the chief ray, هو الشعع اللي بيعدي في ال nodal point. 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"probability": 0.9462890625}, {"start": 356.14, "end": 356.6, "word": " size", "probability": 0.7353515625}, {"start": 356.6, "end": 356.88, "word": " and", "probability": 0.94287109375}, {"start": 356.88, "end": 357.5, "word": " orientation", "probability": 0.939453125}], "temperature": 1.0}, {"id": 16, "seek": 37304, "start": 368.76, "end": 373.04, "text": "The tip of an arrow represents a single object point", "tokens": [2278, 4125, 295, 364, 11610, 8855, 257, 2167, 2657, 935], "avg_logprob": -0.2475141937082464, "compression_ratio": 0.9285714285714286, "no_speech_prob": 4.851818084716797e-05, "words": [{"start": 368.76000000000005, "end": 369.46000000000004, "word": "The", "probability": 0.427001953125}, {"start": 369.46000000000004, "end": 370.16, "word": " tip", "probability": 0.81884765625}, {"start": 370.16, "end": 370.46, "word": " of", "probability": 0.94775390625}, {"start": 370.46, "end": 370.78, "word": " an", "probability": 0.80322265625}, {"start": 370.78, "end": 371.1, "word": " arrow", "probability": 0.8681640625}, {"start": 371.1, "end": 371.62, "word": " represents", "probability": 0.802734375}, {"start": 371.62, "end": 371.96, "word": " a", "probability": 0.916015625}, {"start": 371.96, "end": 372.3, "word": " single", "probability": 0.92919921875}, {"start": 372.3, "end": 372.66, "word": " object", "probability": 0.861328125}, {"start": 372.66, "end": 373.04, "word": " point", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 17, "seek": 39173, "start": 383.71, "end": 391.73, "text": "assume an object is placed 20 cm in front of plus 10 diopter lens immersed in air", "tokens": [640, 2540, 364, 2657, 307, 7074, 945, 14668, 294, 1868, 295, 1804, 1266, 1026, 404, 391, 6765, 35416, 294, 1988], "avg_logprob": -0.4787946315038772, "compression_ratio": 1.125, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 383.71000000000004, "end": 384.59000000000003, "word": "assume", "probability": 0.228424072265625}, {"start": 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Well, let's see what happens to A condition in space. Without using any calculations, without using any calculations, I need to draw three rays. The first ray is equal to the optical axis.", "tokens": [41070, 11, 321, 10379, 309, 365, 364, 11610, 11, 264, 4125, 295, 264, 11610, 307, 264, 935, 316, 11, 321, 1890, 309, 382, 364, 1365, 322, 264, 2793, 295, 264, 2657, 11, 300, 307, 11, 309, 486, 2906, 264, 2793, 295, 264, 2657, 11, 321, 848, 300, 316, 307, 257, 935, 294, 264, 2657, 11, 316, 4188, 307, 264, 3256, 295, 316, 13, 1042, 11, 718, 311, 536, 437, 2314, 281, 316, 4188, 294, 1901, 13, 9129, 1228, 604, 20448, 11, 1553, 1228, 604, 20448, 11, 286, 643, 281, 2642, 1045, 24417, 13, 440, 700, 18592, 307, 2681, 281, 264, 20674, 10298, 13], "avg_logprob": -0.3957331639069777, "compression_ratio": 1.9264069264069263, "no_speech_prob": 7.933378219604492e-05, "words": [{"start": 395.59, "end": 396.07, "word": "object,", "probability": 0.58056640625}, {"start": 396.23, "end": 396.67, "word": " we", "probability": 0.394287109375}, {"start": 396.67, "end": 396.67, "word": " represented", "probability": 0.358642578125}, {"start": 396.67, 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the optical axis until it enters the lens, it emerges from the lens and passes through FB on its way to plus infinity", "tokens": [2278, 1150, 18592, 307, 257, 13852, 300, 44223, 264, 20674, 10298, 1826, 309, 18780, 264, 6765, 11, 309, 38965, 490, 264, 6765, 293, 11335, 807, 479, 33, 322, 1080, 636, 281, 1804, 13202], "avg_logprob": -0.32927390845382914, "compression_ratio": 1.3277310924369747, "no_speech_prob": 0.0, "words": [{"start": 984.84, "end": 985.58, "word": "The", "probability": 0.047271728515625}, {"start": 985.58, "end": 986.32, "word": " second", "probability": 0.38671875}, {"start": 986.32, "end": 988.76, "word": " ray", "probability": 0.443359375}, {"start": 988.76, "end": 988.98, "word": " is", "probability": 0.75}, {"start": 988.98, "end": 989.1, "word": " a", "probability": 0.837890625}, {"start": 989.1, "end": 989.34, "word": " drone", "probability": 0.8828125}, {"start": 989.34, "end": 989.68, "word": " that", "probability": 0.892578125}, {"start": 989.68, "end": 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Let's look at this. We say that the secondary is drawn parallel to the optical axis after it leaves the lens and passes through FB and remains going towards the plus optical infinity. The plus optical infinity is not only the one towards the optical axis. Whatever is on the right of the lens extends to its final destination, this is the plus optical infinity. The intersection of the first ray with the second ray determines the image point.", "tokens": [2278, 15236, 295, 613, 732, 24417, 23122, 264, 11760, 3256, 935, 13, 961, 311, 574, 412, 341, 13, 492, 584, 300, 264, 11396, 307, 10117, 8952, 281, 264, 20674, 10298, 934, 309, 5510, 264, 6765, 293, 11335, 807, 479, 33, 293, 7023, 516, 3030, 264, 1804, 20674, 13202, 13, 440, 1804, 20674, 13202, 307, 406, 787, 264, 472, 3030, 264, 20674, 10298, 13, 8541, 307, 322, 264, 558, 295, 264, 6765, 26448, 281, 1080, 2572, 12236, 11, 341, 307, 264, 1804, 20674, 13202, 13, 440, 15236, 295, 264, 700, 18592, 365, 264, 1150, 18592, 24799, 264, 3256, 935, 13], "avg_logprob": -0.45812499582767485, "compression_ratio": 1.9884615384615385, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1001.46, "end": 1001.62, "word": "The", "probability": 0.64892578125}, {"start": 1001.62, "end": 1002.3, "word": " intersection", "probability": 0.8662109375}, {"start": 1002.3, "end": 1002.66, "word": " of", 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Now let's take another ray", "tokens": [7629, 11169, 1355, 945, 14668, 11, 597, 1355, 264, 2657, 935, 486, 312, 412, 341, 4560, 13, 823, 718, 311, 747, 1071, 18592], "avg_logprob": -0.785156269868215, "compression_ratio": 1.1348314606741574, "no_speech_prob": 0.0010919570922851562, "words": [{"start": 1190.62, "end": 1191.06, "word": "200", "probability": 0.1207275390625}, {"start": 1191.06, "end": 1191.4, "word": " mm", "probability": 0.35107421875}, {"start": 1191.4, "end": 1191.6, "word": " means", "probability": 0.1986083984375}, {"start": 1191.6, "end": 1191.96, "word": " 20", "probability": 0.66748046875}, {"start": 1191.96, "end": 1192.34, "word": " cm,", "probability": 0.63232421875}, {"start": 1192.4, "end": 1192.56, "word": " which", "probability": 0.1502685546875}, {"start": 1192.56, "end": 1192.58, "word": " means", "probability": 0.81298828125}, {"start": 1192.58, "end": 1192.76, "word": " the", "probability": 0.54541015625}, {"start": 1192.76, "end": 1193.1, "word": " 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It's in the posterior focal point. It's inside, in the anterior, sorry, focal point. It comes out parallel. The place where they meet determines the image. Do you see the image apart?", "tokens": [4540, 11, 309, 311, 406, 1854, 1939, 13, 467, 311, 294, 264, 33529, 26592, 935, 13, 467, 311, 1854, 11, 294, 264, 22272, 11, 2597, 11, 26592, 935, 13, 467, 1487, 484, 8952, 13, 440, 1081, 689, 436, 1677, 24799, 264, 3256, 13, 1144, 291, 536, 264, 3256, 4936, 30], "avg_logprob": -0.5006127497729134, "compression_ratio": 1.5182481751824817, "no_speech_prob": 2.0742416381835938e-05, "words": [{"start": 1237.09, "end": 1237.33, "word": "No,", "probability": 0.1201171875}, {"start": 1237.35, "end": 1237.61, "word": " it's", "probability": 0.4912109375}, {"start": 1237.61, "end": 1237.79, "word": " not", "probability": 0.7421875}, {"start": 1237.79, "end": 1238.43, "word": " inside", "probability": 0.205322265625}, {"start": 1238.43, "end": 1239.21, "word": " yet.", "probability": 0.8544921875}, {"start": 1239.93, "end": 1240.49, "word": " It's", "probability": 0.6180419921875}, {"start": 1240.49, "end": 1240.55, "word": " in", "probability": 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"text": "Finally, the central ray traverses the optical center of the lens undeviated. On the back side of the lens, these three rays are divergent, so where is the image?", "tokens": [44259, 11, 264, 5777, 18592, 23149, 279, 264, 20674, 3056, 295, 264, 6765, 40981, 4917, 770, 13, 1282, 264, 646, 1252, 295, 264, 6765, 11, 613, 1045, 24417, 366, 18558, 6930, 11, 370, 689, 307, 264, 3256, 30], "avg_logprob": -0.22215544336881393, "compression_ratio": 1.3728813559322033, "no_speech_prob": 0.0, "words": [{"start": 1965.8, "end": 1966.32, "word": "Finally,", "probability": 0.54345703125}, {"start": 1966.52, "end": 1966.64, "word": " the", "probability": 0.84228515625}, {"start": 1966.64, "end": 1967.04, "word": " central", "probability": 0.88818359375}, {"start": 1967.04, "end": 1967.42, "word": " ray", "probability": 0.9521484375}, {"start": 1967.42, "end": 1968.46, "word": " traverses", "probability": 0.9326171875}, {"start": 1968.46, "end": 1968.64, "word": " the", "probability": 0.9306640625}, {"start": 1968.64, "end": 1969.02, "word": " optical", "probability": 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image point you see the image point as the backward extension of all three rays يعني زي ما الفيجر هذا بيوضح يعني احنا خلينا نلون الشعة، بنقول كالقاتل هذا الشعاع امتداده، خلي امتداده باللون الأبيض، امتداده بخش في FA", "tokens": [351, 291, 366, 1237, 412, 264, 646, 1252, 295, 264, 6765, 291, 536, 264, 3256, 935, 291, 536, 264, 3256, 935, 382, 264, 23897, 10320, 295, 439, 1045, 24417, 37495, 22653, 30767, 1829, 19446, 27188, 1829, 7435, 2288, 23758, 4724, 1829, 2407, 11242, 5016, 37495, 22653, 1975, 5016, 8315, 16490, 20292, 8315, 8717, 1211, 11536, 25124, 27884, 12399, 44945, 39648, 9122, 6027, 4587, 9307, 1211, 23758, 25124, 3615, 45761, 1975, 2304, 2655, 3215, 18513, 3224, 12399, 16490, 20292, 1975, 2304, 2655, 3215, 18513, 3224, 20666, 1211, 11536, 16247, 21292, 11242, 12399, 1975, 2304, 2655, 3215, 18513, 3224, 4724, 9778, 8592, 8978, 19894], "avg_logprob": -0.2131371301354714, "compression_ratio": 1.6798245614035088, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 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This distance is 100 mm. 100 mm means 10 cm. The object is the object point here at a distance of 5 cm. 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the", "probability": 0.63037109375}, {"start": 2518.25, "end": 2518.51, "word": " plus", "probability": 0.9375}, {"start": 2518.51, "end": 2518.87, "word": " lens", "probability": 0.89990234375}, {"start": 2518.87, "end": 2518.95, "word": " and", "probability": 0.75439453125}, {"start": 2518.95, "end": 2519.27, "word": " looking", "probability": 0.5078125}, {"start": 2519.27, "end": 2519.71, "word": " at", "probability": 0.50341796875}, {"start": 2519.71, "end": 2520.01, "word": " the", "probability": 0.6494140625}, {"start": 2520.01, "end": 2520.23, "word": " bottom", "probability": 0.63232421875}, {"start": 2520.23, "end": 2520.79, "word": " of", "probability": 0.916015625}, {"start": 2520.79, "end": 2520.83, "word": " the", "probability": 0.8271484375}, {"start": 2520.83, "end": 2521.09, "word": " screen", "probability": 0.12115478515625}, {"start": 2521.09, "end": 2521.83, "word": " Okay,", "probability": 0.361083984375}, {"start": 2522.03, "end": 2522.57, "word": " now", 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