Plane wave diffraction by a perfectly transparent half-plane

Anokhov, S. P.

doi:10.1364/josaa.24.002493

Cited by 13 publications

(14 citation statements)

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“…Although the phase jump in Fig. 10C seems more complex than suggested by [16], it is interesting to note that this phase jump, together with a refractive index difference between water and disk of 0.05, would imply a disk thickness of 4.14 μm which is not too far from the actual 5 μm thickness of the disks. A preliminary study of phase changes near edges of phase reconstructed transparent plates suggests that, for plates that are less than a few micrometers thick, the phase jump signature of Fig.…”

Section: Simulationmentioning

confidence: 70%

“…This phase signature does not have the characteristic signature of a phase wrap but shows, after an initial decrease, a large phase jump of 3.19 rad as we go from disk edge to center. Standard Fresnel diffraction theory for the edge of a transparent half-plane predicts a phase jump that depends on the refractive index change at the edge [16]. Although the phase jump in Fig.…”

Section: Simulationmentioning

confidence: 93%

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Quantitative phase and refractive index measurements with point-source digital in-line holographic microscopy

et al. 2012

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Point-source digital in-line holographic microscopy with numerical reconstruction is ideally suited for quantitative phase measurements to determine optical path lengths and to extract changes in refractive index within accuracy close to 0.001 on the submicrometer length scale. This is demonstrated with simulated holograms and with detailed measurements on a number of different micrometer-sized samples such as suspended drops, optical fibers, as well as organisms of biological interest such as E. coli bacteria, HeLa cells, and fibroblast cells.

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Section: Simulationmentioning

confidence: 70%

Section: Simulationmentioning

confidence: 93%

Quantitative phase and refractive index measurements with point-source digital in-line holographic microscopy

et al. 2012

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“…From that time, this solution has been generalized more than once to the cases of impedance boundary conditions on a half-plane [6], a perfectly transparent half-plane [7], a moving half-plane [8], on the case of half-plane embedded into bi-isotropic medium [9], and also on the case of different media disposed bilaterally along that [10]. The solution for a plane incident wave has stood duty as the bases for the solutions obtained for a vector spherical wave [11] and for electromagnetic beams [6,12].…”

Section: Introductionmentioning

confidence: 99%

Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium

Serdyuk

2013

AJEA

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Abstract:The Sommerfeld's problem of plane wave diffraction by a perfectly conducting half-plane is considered for the general case of an absorbing medium and an inhomogeneous incident wave, whose the constant phase planes are not parallel to the constant amplitude ones. The exact solution is represented in terms of parameters of incident wave propagation in the coordinate axes, but not in terms of angular variables, as usually. We adduce the original derivation of this solution, which use generalized functions and admits complex values for propagation parameters. Our approach is based on calculation of diffraction integrals by the method of transformations on the real axis without using a complex argument of integration. The results of diffraction field computation for the cases of an absorbing medium and of a decaying incident wave in a transparent medium are presented.

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“…Millimeter wave imaging experiments were performed for a discharge current of 1.5 A and a tube temperature of 95 o C. Under these conditions, the PC of the Cs-Xe discharge had the shape of a spatially uniform slab which filled the entire tube aperture 10 cm x 8 cm. The spatial distribution of VC intensity was recorded by a black and white CCD camera (5). The CCD camera exposure time was 1 ms. An optical filter (6) rejecting atomic emission lines was mounted on the camera lens.…”

mentioning

confidence: 99%

“…The minimum occurred between bright maxima of the intensity. The edge contrast enhancement phenomenon arose from MMW edgediffraction by transparent object which produced the additional phase shift for the wave passing through it [5].…”

mentioning

confidence: 99%

Real-time shadow projection millimeter-wave imaging using visible continuum from a slab of the Cs-Xe DC discharge

Gitlin

Golovanov

Цветков

et al. 2008

2008 33rd International Conference on Infrared, Millimeter and Terahertz Waves

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A slab of the positive column of the Cs-Xe DC discharge has been employed as a 2-D sensor for real-time shadow projection millimeter-wave (MMW) imaging. MMW images are converted into visible images using the visible continuum from the plasma slab. Real-time shadow projection MMW images of test objects have been successfully obtained using 35.4 GHz millimeter waves for object illumination.Active imaging and sensing with millimeter waves attracts attention due to important industrial, security, biomedical, and scientific applications [1]. A 2-D array of millimeter-wave receivers is typically used for real-time record the MMW image. This allows achieving high frame rates, but 2-D imaging arrays are complex systems and their cost is too high for many applications. Besides, the use of 2-D arrays of millimeter-wave receivers does not provide sufficiently high spatial resolution. The shortcomings of the 2-D imaging array technique make the development of the method for time-resolved measurements of the spatial distribution of millimeter waves, which would be inexpensive and convenient for real-time active 2-D MMW imaging, a challenging task. Recently a new technique using the visible continuum (VC) from a slab of the positive column (PC) of a Cs-Xe DC discharge was developed for time-resolved imaging of the spatial distribution of the MMW intensity [2]. The concept of this technique is based on the effect of the increase in the intensity of the e-Xe bremsstrahlung continuum in the visible region, when the electrons in the positive column of a Cs-Xe DC discharge are heated by millimeter waves [3]. By means of this technique, MMW images are converted into visible images, thus allowing conventional CCD cameras to acquire images at a rapid rate. This imaging technique has high energy flux sensitivity (about ten µJ/cm 2 ), microsecond temporal resolution, and spatial resolution 2 -3 mm. In this paper, we applied the technique for active MMW imaging using the shadow projection method. The experimental setup (top view) is shown schematically in Fig. 1. A sealed discharge tube (DT)

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Plane wave diffraction by a perfectly transparent half-plane

Cited by 13 publications

References 0 publications

Quantitative phase and refractive index measurements with point-source digital in-line holographic microscopy

Quantitative phase and refractive index measurements with point-source digital in-line holographic microscopy

Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium

Real-time shadow projection millimeter-wave imaging using visible continuum from a slab of the Cs-Xe DC discharge

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