Abstract
In the past, a two-dimensional aperture diffraction of light in the non-paraxial region could only be studied using the Huygens integral without functional forms. This work presents a special case—a one dimension slit where the functional form can be obtained. The monochromatic light intensity distributions are investigated in detail. Using the correspondence relationship, the diffracted spectra of polychromatic light in that region can be readily found. Three interesting spectral effects are described: spectral switches, multi-level data transmission, and optical wavelength ruler. Since the functional form is derived without approximation, it is applicable to a region very near to the slit, including the wavelength region or even sub-wavelength scale. Thus, for light with micron-order wavelength (visible to near infrared (NIR) band), these results are valuable to micro- or nano-optics, especially for studies of the spatial intensities or spectral characteristics in the non-paraxial region.
Highlights
Studies of spectra changes in free space propagation have been performed extensively over recent decades [1,2]
Many interesting and valuable results were obtained through such studies, such as spectral switches [7], lattice spectroscopy [8], spectral anomalies [9], Fresnel zone spectra [10], Talbot spectra [11], spectra restoration [12], and manipulation [13]
In Zone 1, we can find three spectral effects: spectral switches, multi-level data transmission scheme, and optical wavelength ruler. These results are of value for spectrum control studies or applications in non-paraxial region
Summary
Studies of spectra changes in free space propagation have been performed extensively over recent decades [1,2]. An important relation called the spatial-spectral correspondence relationship for mono-polychromatic light diffraction was proposed by one of the authors [10], which has been used widely to derive those results It states that, for aperture diffraction of fully coherent and uniform incident light, the space intensity distribution (in spatial domain) of monochromatic light corresponds to the spectrum distribution (in spectral domain) of polychromatic light. For aperture diffraction of fully coherent and uniform incident light, the space intensity distribution (in spatial domain) of monochromatic light corresponds to the spectrum distribution (in spectral domain) of polychromatic light This relation is used mainly in the paraxial regime, i.e., the near-field zone (with Fresnel approximation) and far-field zone (with Fraunhoffer approximation). In Zone 1, we can find three spectral effects: spectral switches, multi-level data transmission scheme, and optical wavelength ruler These results are of value for spectrum control studies or applications in non-paraxial region
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