S-eet 012 333333333333333333333333333333 333333333333333 333333333333333333333333333333 33333333333333333333333333333333 33333333333333333333333333 333333333 O"tca# F%er Co!!ecto!4 O"tca# Sources a!' O"tca# F%er Sste$s 333333333333333333333333333333333333333 1] An optical fiber has a core refractive index of 1.5. Two lengths of the fiber with smooth and perpendicular (to the core axes) end faces are butted together. Assuming the fiber axes are perfectly aligned calculate the optical loss in decibels at the !oint (due to "resnel reflection) when there is a small air gap between the fiber end faces. (#.$% d&) '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' ] A silica multimode step index fiber has a core refractive index of 1.%. *etermine *etermine the optical loss in decibels due to "resnel reflection at a fiber !oint with+ a. a small air gap. b. an index matching epoxy which has a refractive index of 1.#. ,t may be assumed that the fiber axes and end faces are perfectly aligned at the !oint. (#.$1 d& $.-x1#'$ d&) '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' $] The "resnel reflection at a butt !oint with an air gap in a multimode step index fiber is #.% d&. *etermine the refractive index of the fiber core. (1.5) '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' ] A ruby laser contains a crystal length cm with a refractive index of 1./-. The pea0 emission wavelength from the device is #.55 µm. *etermine the number of longitudinal modes and their freuency separation. (.%x1#5 .1 234) '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' 5] The longitudinal modes of a gallium arsenide in!ection i n!ection laser emitting at a wavelength of #.-/ µm are separated in freuency by /- 234. *etermine the length of the optical cavity and the number of longitudinal modes emitted. The refractive index of gallium arsenide is $.%. (15#µm 11) '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' %] An An optical fiber lin0 of length 0m comprises a fiber cable with an attenuation of 5 d&.0m'1. The splice losses for for the lin0 are estimated estimated at d&.0m d&.0m'1 and the connector losses at the source and detector are $.5 and .5 d& respectively. ,gnoring the effects of dispersion on the lin0 determine the total channel loss. ($ d&) ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
/] The following parameters are established for a long'haul single'mode optical fiber system operating at a wavelength of 1.$ µm. Mean power launched from the laser transmitter Cabled fiber loss Splice loss Connector llo osses at th the tr transmitter an and receiver Mean power reuired at the !"# recei receiver$ ver$ -+ when operatin% at 3& Mbit's (B)* 10 , when operatin% at 400 Mbit's (B)* 10 -+, *euired safet mar%in
- 3 dBm 0.4 dB.km-1 0.1 dB.km-1 1 dB each - && dBm - 44 dBm dB
stimate+ a. the maximum possible lin0 length without repeaters when operating at $5 6bit7s (&8 1#'). ,t may be assumed that there is no dispersion'euali4ation dispersion'euali4ation penalty at this bit rate. b. the maximum possible lin0 length without repeaters when operating at ## 6bit7s (&8 1#') and assuming no dispersion'euali4ation penalty at this bit rate. c. the reduction in the maximum maximum possible lin0 length without repeaters of (b) when there is a dispersion'euali4ation dispersion'eua li4ation penalty of 1.5 d&. ,t may be assumed for the purposes of this estimate that the reduced lin0 length has the 1.5 d& penalty. (-% 0m % 0m $ 0m) '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' -] 9omponents 9omponents are chosen for a digital optical fiber lin0 of overall length / 0m and operat operating ing at '1 a # 6bit.s using an 8: code. ,t is decided that an ;* emitting at #.-5 µm with graded index fiber to a p'i'n photodiode is suitable choice for the system compo components nents giving no dispersion'euali4ation penalty. An ;* which is capable of launching an average of 1## µ< of optical power (including connector loss) into a 5# µm core diameter graded index fiber is chosen. The proposed fiber cable has an attenuation of .% d&.0m'1 and reuires splicing every 1 0m with a loss of #.5 d& per splice. There is also connector loss at the receiver receiver of 1.5 d&. d&. The The receiver receiver reuires mean mean incident power of ' 1 d&m d&m in in order to '1# give the necessary &8 of 1# and it is predicted that a safety margin margin of % d& will be reuired. 0ew rays are accepted into a large core diameter (compared to the wavelength of the transmitted transmitte d light) step index fiber in air at a maximum maximum axial axial angle of o. nellGs ;aw 9ritical Angel
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