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Patents (Details) - USD ($) | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Jun. 30, 2018 | Jun. 30, 2017 | Jun. 30, 2018 | Jun. 30, 2017 | Dec. 31, 2017
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Patents, accumulated amortization | $ 421,038,000 |  | $ 421,038,000 |  | $ 382,220,000
Weighted average useful life of patents and patent rights |  |  | 2 years |  |
Impairment of Intangible Assets (Excluding Goodwill) | $ 29,210,000 | $ 0 | $ 29,210,000 | $ 0 |
Minimum [Member] |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Useful life of patents and patent rights |  |  | 1 year |  |
Maximum [Member] |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Useful life of patents and patent rights |  |  | 6 years |  |

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