The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Space-time duality and the theory of temporal imaging
Abstract
There exists a beautiful duality between the equations that describe the paraxial diffraction of beams confined in space and the dispersion of narrow-band pulses in dielectrics. We will see that this duality leads naturally to the conclusion that a quadratic phase modulation in time is the analog of a thin lens in space. Therefore, by a suitable combination of dispersion and quadratic phase modulation (now a "time lens"), we can synthesize the time-domain analog of an imaging system. Such a temporal-imaging system can magnify time waveforms in the same manner as conventional spatial-imaging systems magnify scenes. We analyze this space-time duality and derive expressions for the focal length and f-number of a time lens. In addition, the principles of temporal imaging are developed and we derive time-domain analogs for the imaging condition, magnification ratio, and impulse response of a temporal-imaging system.>
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Cites
Introduction to Fourier optics
Goodman, J. W. (1968) · Cited by 10,608
Whitham, G. B., & Fowler, R. G. (1975) · Physics Today · doi:10.1063/1.3069011 · Cited by 8,179
Whiteman, K. J. (1975) · Physics Bulletin · doi:10.1088/0031-9112/26/11/028 · Cited by 7,064
Waves and Fields in Optoelectronics
Bertolotti, M. (1985) · Optica Acta: International Journal of Optics · doi:10.1080/716099690 · Cited by 1,469
Optical pulse compression with diffraction gratings
Treacy, E. (1969) · IEEE Journal of Quantum Electronics · doi:10.1109/jqe.1969.1076303 · Cited by 1,363
Waves and fields in optoelectronics
Haus, H. A. (1983) · Medical Entomology and Zoology · Cited by 1,009
The Theory and Design of Chirp Radars
Klauder, J. R., Price, A. C., Darlington, S., & Albersheim, W. J. (1960) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1960.tb03942.x · Cited by 960
Compression of optical pulses to six femtoseconds by using cubic phase compensation
Fork, R. L., Brito Cruz, C. H., Becker, P. C., & Shank, C. V. (1987) · Optics Letters · doi:10.1364/ol.12.000483 · Cited by 936
- Introduction to Communication Systems
(2018) · Signals, Systems, Transforms, and Digital Signal Processing with MATLAB · doi:10.1201/9781315218533-17 · Cited by 350
Ray-pulse matrices: a rational treatment for dispersive optical systems
Kostenbauder, A. G. (1990) · IEEE Journal of Quantum Electronics · doi:10.1109/3.108113 · Cited by 152
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Jones, R. R., Hooper, D. C., Zhang, L., Wolverson, D., & Valev, V. K. (2019) · Nanoscale Research Letters · doi:10.1186/s11671-019-3039-2 · Cited by 804
Bandwidth manipulation of quantum light by an electro-optic time lens
Karpiński, M., Jachura, M., Wright, L. J., & Smith, B. J. (2017) · Nature Photonics · doi:10.1038/nphoton.2016.228 · Cited by 172
An Integrated Low-Voltage Broadband Lithium Niobate Phase Modulator
Ren, T., Zhang, M., Wang, C., Shao, L., Reimer, C., Zhang, Y., King, O., Esman, R., Cullen, T., & Loncar, M. (2019) · IEEE Photonics Technology Letters · doi:10.1109/lpt.2019.2911876 · Cited by 151
Metadata
- Authors
- Kolner, B. H.
- Venue
- IEEE Journal of Quantum Electronics
- Published
- 1994
- Volume
- 30
- Issue
- 8
- Pages
- 1951-1963
- ISSN
- 0018-9197 (ISSN-L)
- OpenAlex
- W2163786038
- Cited by
- 688
- References
- 13
- FWCI
- 4.40
- Type
- journal article
- Language
- en
- Open access
- closed
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