Two-wave interferences space-time duality: Young slits, Fresnel biprism and Billet bilens

Chaussard, Frédéric; Rigneault, Hervé; Finot, Christophe

doi:10.1016/j.optcom.2017.03.072

Cited by 16 publications

(12 citation statements)

References 44 publications

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“…Indeed, taking advantage of the concept of space-time duality [33][34][35] and extending it to the frequency domain [7], the spectral interference pattern associated with the triangular pulse dynamics can be viewed as the spectral analogue of the spatial interference pattern that is observed after a bi-prism: similarly to the timedomain counterpart of the bi-prism experiment described in Ref. [36], the spectral interference pattern is localized with a bright fringe at the central frequency (see Fig. 2(c)).…”

Section: Triangular Shapementioning

confidence: 99%

Impact of initial pulse shape on the nonlinear spectral compression in optical fibre

Boscolo

Chaussard

Andresen

et al. 2018

Optics & Laser Technology

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. Impact of initial pulse shape on the nonlinear spectral compression in optical fibre. Optics and Laser Technology, Elsevier, 2018, 99, pp.301-309 Abstract: We theoretically study the effects of the temporal intensity profile of the initial pulse on the nonlinear spectral compression process arising from nonlinear propagation in an optical fibre. Various linearly chirped input pulse profiles are considered, and their dynamics is explained with the aid of time-frequency representations. While initially parabolic-shaped pulses show enhanced spectral compression compared to Gaussian pulses, no significant spectral narrowing occurs when initially super-Gaussian pulses are used. Triangular pulses lead to a spectral interference phenomenon similar to the Fresnel bi-prism experiment.

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Section: Triangular Shapementioning

confidence: 99%

Impact of initial pulse shape on the nonlinear spectral compression in optical fibre

Boscolo

Chaussard

Andresen

et al. 2018

Optics & Laser Technology

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“…Previously, wavefront-division based interferometers such as the classic Young's double slit 8,16,17 or Fresnel bi-prism have been used to obtain static white light fringes without much tunability 8,17 . Although, tunable interferometers exploiting wavefront division by plane, spherical or toroidal split-mirrors, or ultra-thin glass plates have been designed, these have been mostly used with coherent ultrafast pulses as optical delay lines for pump-probe spectroscopy 18 .…”

Section: Introductionmentioning

confidence: 99%

Ultrathin Picoscale White Light Interferometer

Dahiya

Tyagi

Mandal

et al. 2021

Preprint

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White light interferometry is a well established technique with diverse precision applications, however, the conventional interferometers such as Michelson, Mach-Zehnder or Linnik are large in size, demand tedious alignment for obtaining white light fringes, require noise-isolation to achieve sub-nanometric stability and importantly, exhibit unbalanced dispersion causing uncertainty in absolute zero delay reference. Here, we demonstrate an ultrathin white light interferometer enabling picometer resolution by exploiting the wavefront division of a broadband incoherent light beam after transmission through a pair of micrometer thin identical glass plates. Spatial overlap between the two diffracted split wavefronts readily produce high-contrast and stable white light fringes, with unambiguous reference to absolute zero path-delay position. The colored fringes evolve when one of the ultrathin plates is rotated to tune the interferometer with picometric precision over tens of µm range. Our theoretical analysis validates formation of fringes and highlights self-calibration of the interferometer for picoscale measurements. We demonstrate measurement of coherence lengths of several broadband incoherent sources as small as a few micrometer with picoscale precision. Furthermore, we propose a versatile double-pass configuration using the ultrathin interferometer enabling a sample cavity for additional applications in probing dynamical properties of matter.

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“…Indeed, a very strong mathematical connection known as space/time duality exists between optical diffraction and the temporal evolution of light in presence of group velocity dispersion [6][7][8]. This concept has simulated both fundamental research regarding, for example, the Arago spot [9], two waves interferometers [10], and temporal Fresnel diffraction in fiber optics [11]. But also successful applications such as theory of temporal imaging [12], dispersive Fourier transform [13,14], highrepetition rate sources, and related applications of the Talbot effect [15], and so many others.…”

Section: Introductionmentioning

confidence: 99%