Experimental Visualizations and Wave Vector Characterizations of Bloch Functions in Microwave Metamaterial Structures

Tsuchiya, Masahiro; Shiozawa, Takahiro

doi:10.7567/apex.6.072602

Cited by 12 publications

(11 citation statements)

References 14 publications

(26 reference statements)

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“…Whereas its coming applications are expected in various areas, demonstrated so far have been the following basics: wave vector mappings [11] and their applica- tions for high-definition wave imaging and waveguide mode analyses [12], visualizations of rotating electric field vectors and their ellipticity [13], visualizations and decompositions of Bloch states in metamaterial structures [14], visualizations of propagating waves in and around electromagnetic absorbers [15], and packet imaging [16]. Recently, the scheme of detached EO imaging [17] has been added to the list.…”

Section: Introductionmentioning

confidence: 99%

Resolution of live electrooptic imaging with a very thin (10-µm) sensor plate

Tsuchiya

Fukui

Yorinaga

2016

IEICE Electron. Express

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Resolution of live electrooptic imaging (LEI) having an ultimately-thinned (10-µm) electrooptic sensor plate has been evaluated experimentally and discussed theoretically. The evaluated resolution value is 30-40 µm, which is the best ever demonstrated for the LEI technique. Through its theoretical analyses, the following three resolution-limiting factors have been quantified and a guideline for resolution improvement has been discussed; (a) the image sensor pixel density, (b) the magnification and resolution of the laser optics, and (c) the electrooptic sensitive volume.

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Section: Introductionmentioning

confidence: 99%

Resolution of live electrooptic imaging with a very thin (10-µm) sensor plate

Tsuchiya

Fukui

Yorinaga

2016

IEICE Electron. Express

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“…Taking advantage of experimental phase data, a CP image , is generated by Euler's formula: , where , , , and are its pixel address, real part, and imaginary part, respectively. Outcomes of its complex Fourier (CF) analyses in the phase space have been demonstrated for a two-dimensional electromagnetic metamaterial structure [4]; its Bloch functions have been dissected into plane wave envelope functions and periodic functions in the wavenumber domain as well as wave features of individual functions have been visually characterized in the space domain.…”

Section: Wave Analyses In Phase Spacementioning

confidence: 99%

“…In order to extract an essential feature from the image and evaluate its accuracy, a method based on the complex phasor (CP) image concept [4][5] was applied as shown in Fig. 1d.…”

Section: Wave Analyses In Phase Spacementioning

confidence: 99%

High accuracy electorooptic imaging of aerially propagating 100-GHz wave

Tsuchiya¹,

Shiozawa

2014

2014 IEEE Antennas and Propagation Society International Symposium (APSURSI)

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Aerially propagating 100-GHz wave has been experimentally visualized with high accuracy. In addition to electric field image acquisition by the live electrooptic imaging technique, wave analyses both in the wavenumber domain and in the space domain have been performed on the basis of the complex phasor image concept, leading to significant improvement of the imaging accuracy. This new technique would cultivate future electromagnetic wave characterizations.

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“…Although further applications are expected in various areas in the future, the following basics have been demonstrated so far: wave vector mapping 13 and its applications for high-definition wave imaging and waveguide mode analysis 14 , visualization of rotating electric field vectors and their elliptical nature 15 , visualization and decomposition of Bloch states in metamaterial structures 16 , visualization of propagating waves in and around electromagnetic absorbers 17 , and packet imaging 18 . The scheme of detached EO imaging (DEI) 19 has been added to this list recently.…”

Section: Introductionmentioning

confidence: 99%

Microscopic Live Electrooptic Imaging

Tsuchiya

Fukui

Yorinaga

2017

Sci Rep

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Live electrooptic imaging (LEI) in the microscopic range has been successfully demonstrated for the first time. The finest resolution achieved in the present study is 2.7 μm, which is finer than the previous record by more than an order of magnitude. This drastic improvement in the resolution record has been achieved through comprehensive improvement of the limiting factors of the conventional LEI system. Residual limiting factors in the improved system have been systematically analyzed and ideas for even finer resolution have also been presented.It should be highly attractive if the space-domain behaviors of radio wave, electrical signals and/or noises in and around circuits, as well as conditions of electromagnetic interferences, could be grasped agilely. Prompt visualization of invisible electric fields in terms of both their spatial distributions and dynamics would be the most effective. For this purpose, in addition to various numerical approaches, there is a technique named live electrooptic imaging (LEI) 1-3 schematically shown in Fig. 1(a), which is unique due to its experimental agility; high frequency electric fields are visualized in real time in the phase-evolving video formats. The LEI technique, whose operation principle is briefly described in the Methods section, is based on two excellent benefits of photonics 4 , ultra-parallel 5, 6 and ultra-fast 7,8 properties, which are merged in an electrooptic (EO) sensor 9, 10 shaped in the form of a thin plate 11,12 . Although further applications are expected in various areas in the future, the following basics have been demonstrated so far: wave vector mapping 13 , respectively. In addition to these figures, the highest spatial resolution has been reported as 30 to 40 μm in our recent paper 21 , which was an improvement from the conventional in the sub-millimeter range achieved primarily by reducing the thickness of the ZnTe EO layer on the same glass platform as shown in Fig. 2 to 10 μm and having its proximity contact to circuit patterns. This improvement is reasonable since it is generally supposed that a thinner EO sensor plate leads to a higher spatial resolution at expense of sensitivity, if a fringe-shaped electric field distribution from a circuit pattern is dealt with. The resolution is almost fine enough for patterns on printed circuit boards (PCBs), but is insufficient for microscopic circuit patterns on semiconductor substrates. For this reason, the remaining factors limiting the resolution have been discussed and concluded to be the following: three optics originating factors (restricted diffraction limit, deviated focus, and inadequately large pixel size on EO images) and one EO interaction property (room to thin the ZnTe layer) 21 . For a finer spatial resolution in a new LEI system, each of these factors has been improved as follows. A microscope objective lens ( Fig. 1(a)) was introduced together with an infinity correction optical system ( Fig. 1(b)) with fine focus adjusting mechanisms. The magnification power of the optics was tun...

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Experimental Visualizations and Wave Vector Characterizations of Bloch Functions in Microwave Metamaterial Structures

Cited by 12 publications

References 14 publications

Resolution of live electrooptic imaging with a very thin (10-µm) sensor plate

Resolution of live electrooptic imaging with a very thin (10-µm) sensor plate

High accuracy electorooptic imaging of aerially propagating 100-GHz wave

Microscopic Live Electrooptic Imaging

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