كاهش ابيراهي زماني با استفاده از دوگاني مكان-زمان در سيستم تصويربرداري متشكل از عدسي گوسي دوبل زماني

Temporal aberration reduction using space-time dualiy in an imaging system consisting of a temporal double Gaussian lens

ﭼﮑﯿﺪه اﺑﯿﺮاﻫﯽ زﻣﺎﻧﯽ ﯾﮑﯽ از ﭼﺎﻟﺶﻫﺎي ﻣﻮﺟﻮد در ﻓﺮاﯾﻨﺪ ﺷﮑﻞدﻫﯽ ﭘﺎﻟﺲ ﺑﺮ اﺳﺎس ﺳﯿﺴﺘﻢﻫﺎي ﺗﺼﻮﯾﺮﺑﺮداري زﻣﺎﻧﯽ اﺳﺖ. ﺗﺼﻮﯾﺮﺑﺮداري زﻣﺎﻧﯽ ﻣﺒﺘﻨﯽ ﺑﺮ ﺗﻘﺎرن رﯾﺎﺿﯽ ﺑﯿﻦ دو ﺣﻮزه ﻧﻮر ﻣﮑﺎﻧﯽ و زﻣﺎﻧﯽ اﺳﺖ ﮐﻪ از ﺗﺸﺎﺑﻪ ﻣﻌﺎدﻟﻪ دﯾﻔﺮاﻧﺴﯿﻞ ﺣﺎﮐﻢ ﺑﺮ ﭘﺮاش ﯾﮏ ﭘﺮﺗﻮي ﭘﯿﺮاﻣﺤﻮر و ﭘﺎﺷﻨﺪﮔﯽ ﯾﮏ ﭘﺎﻟﺲ ﺑﺎ ﺑﺎﻧﺪ ﺑﺎرﯾﮏ ﻧﺸﺄت ﻣﯽﮔﯿﺮد. در اﯾﻦ ﭘﮋوﻫﺶ، ﺗﻼش ﮐﺮدهاﯾﻢ ﺗﺎ ﺑﺎ ﺑﻬﺮهﮔﯿﺮي از اﺻﻞ دوﮔﺎﻧﯽ ﻣﮑﺎن-زﻣﺎن و اﺳﺘﻔﺎده از دوﮔﺎن ﺣﻮزه زﻣﺎن ﻋﺪﺳﯽ ﻣﮑﺎﻧﯽ و ﺳﯿﺴﺘﻢ ﺗﺼﻮﯾﺮﺑﺮداري ﻣﮑﺎﻧﯽ ﺑﻪ اراﺋﻪ ﺳﯿﺴﺘﻢ ﻣﻌﺎدل ﻋﺪﺳﯽ ﮔﻮﺳﯽ دوﺑﻞ ﻣﮑﺎﻧﯽ در ﺣﻮزه زﻣﺎن ﺟﻬﺖ ﺟﺒﺮان اﺑﯿﺮاﻫﯽ زﻣﺎﻧﯽ ﺑﭙﺮدازﯾﻢ. در اﯾﻦ ﻣﻘﺎﻟﻪ ﺑﺎ اﻟﻬﺎم از ﺳﯿﺴﺘﻢﻫﺎي ﺣﻮزه ﻣﮑﺎن ﮐﻪ ﺗﺎﮐﻨﻮن در ﺣﻮزه زﻣﺎن ﻣﻌﺎدلﺳﺎزي ﺷﺪهاﻧﺪ، ﺳﺎﺧﺘﺎري ﺑﺮاي ﻋﺪﺳﯽ ﮔﻮﺳﯽ دوﺑﻞ زﻣﺎﻧﯽ ﺑﺎﻗﺎﺑﻠﯿﺖ اﺑﯿﺮاﻫﯽ ﮐﺎﻫﺶﯾﺎﻓﺘﻪ اراﺋﻪ ﻣﯽدﻫﯿﻢ. در اﯾﻦ ﺳﺎﺧﺘﺎر، ﺗﺼﻮﯾﺮ ﺧﺮوﺟﯽ ﻧﻬﺎﯾﯽ در ﻣﻘﺎﯾﺴﻪ ﺑﺎ ﺳﯿﺴﺘﻢ ﺗﺼﻮﯾﺮﺑﺮداري ﺑﺎ ﯾﮏ ﻋﺪﺳﯽ زﻣﺎﻧﯽ ﺳﺎده، ازﻧﻈﺮ ﮐﯿﻔﯿﺖ و اﺑﯿﺮاﻫﯽ ﺑﻪ ﻣﯿﺰان 40% ﺑﺮ اﺳﺎس ﻣﻌﯿﺎر ﻫﻤﺒﺴﺘﮕﯽ ﺑﻬﺒﻮدﯾﺎﻓﺘﻪاﺳﺖ.

Temporal aberration is an important challenge in pulse-shaping process based on temporal imaging system. Temporal imaging is based upon the duality between spatial and temporal Fourier optics which, in turn, emanates from the similarity of the differential equations governing the diffraction of paraxial beams and dispersion of narrow-band pulses. In this paper, the temporal implementation of spatial double-Gaussian lens is proposed based on space-time duality and the concept of time-lens. Inspired from other spatial optical systems which have been implemented in time, a temporal implementation of double-Gaussian lens with reduced aberation is proposed. The obtained image is improved in quality and aberration content with 40 percent, compared to a conventional temporal imaging system.