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Journal of Huaqiao University

The Spectral Shift and Spectral Switch in Young′s Double-Slit Experiment

QU Biao

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Adopting the technique of different position probes into the spectrum of partially coherent light,study the spectral shift and spectral switch of partially coherent polychromatic light in Young′s double-slit experiment.The experimental results show that,in the interference field,the normalized spectrum is redshifted at some observation points,is blueshifed at others,and the spectral shift changes rapidly from red shift to blueshifted at the critical points,i.e.,the spectral switch occurs.Furthermore,it is shown that the slit parameter and observation distance effect on the spectral shift and the spectral switch in Young's double-slit interference experiment.

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Within the accuracy of the Born approximation, it is shown that the light, which is generated by the scattering of an arbitrary coherent polychromatic wave from a quasi-homogeneous (QH) media can, display both spectral shifts and spectral switches. In our study, a pair of Young's pinholes is utilized to modulate spatial coherence of the incident plane wave before it interacts with the scatterer. The spectral shifts are found to be highly dependent of the scattering angle, the correlation length of scatterer and the Young's configuration parameter. Moreover, the spectral shifts can be converted from the red shift to blue one provided that the correlation length of scatterer is small enough. Derived results are confirmed by numerical simulations where influences of various factors on the spectrum are analyzed in detail.

Optics Express•Jun 15, 2015•25 citations
Adopting the technique of different position probes into the spectrum of partially coherent light,study the spectral shift and spectral switch of partially coherent polychromatic light in Young′s double-slit experiment.The experimental results show that,in the interference field,the normalized spectrum is redshifted at some observation points,is blueshifed at others,and the spectral shift changes rapidly from red shift to blueshifted at the critical points,i.e.,the spectral switch occurs.Furthermore,it is shown that the slit parameter and observation distance effect on the spectral shift and the spectral switch in Young's double-slit interference experiment.
The expression for the spectral density of polychromatic Gaussian and Gaussian-Schell model (GSM) beams propagating through double slits in Young's experiment are derived, which enables us to study the behavior of spectral switches in Young's experiment illuminated by fully and partially coherent polychromatic light beams and to judge if their spectral switches belong to the effect in singular optics. It is shown that the criterion for the effect in singular optics with polychromatic light field should be Smin=0 (Smin is the minimum of the spectral density at spectral switches) rather than Imin=0 (Imin is the minimum of the total intensity). In Young's experiment illuminated by polychromatic GSM beams the spectral switches in both near and far zones are not attributed to the effect in singular optics because Smin≠0. If the double slits in Young’s experiment are illuminated by polychromatic Gaussian beam, the spectral switches in the far zone belong to the effect in singular optics, whereas it is not the case in the near zone.
The observation of spectral shift in astronomy arises from the relative motion between the observed star and the earth. Both blueshift and redshift can be explained with the relative movement of the double-slit interference. In the rest frame of the star, the light passes through the slit to travel a straight path to reach the projection screen. The intersection of this path and the screen is shifted by the movement of the screen. If the screen moves away from the path, the spectrum will be shifted away from the center of the screen. This is known as redshift. If the screen moves toward the path, the spectrum will be shifted toward the center of the screen. This is known as blueshift. The spectrum not only shifts in position but also expands in size. The spectral shift is the result of the relative motion between the projection screen and the path of phase shift. It is not the result of any variation in the wavelength.
Within the accuracy of the Born approximation, it is shown that the light, which is generated by the scattering of an arbitrary coherent polychromatic wave from a quasi-homogeneous (QH) media can, display both spectral shifts and spectral switches. In our study, a pair of Young's pinholes is utilized to modulate spatial coherence of the incident plane wave before it interacts with the scatterer. The spectral shifts are found to be highly dependent of the scattering angle, the correlation length of scatterer and the Young's configuration parameter. Moreover, the spectral shifts can be converted from the red shift to blue one provided that the correlation length of scatterer is small enough. Derived results are confirmed by numerical simulations where influences of various factors on the spectrum are analyzed in detail.