TWI423516B - The use of dielectric resonators to design negative refractive index media - Google Patents
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本發明為有關負折射率介質,尤其是關於利用介電質共振器來設計負折射率介質。The present invention relates to negative refractive index media, and more particularly to the design of negative refractive index media using dielectric resonators.
隨著通訊科技的進步,舉凡工業、科學、醫學各方面都有所應用,所使用的無線通訊產品也都逐漸多樣化,尤以汽車電話、行動電話等移動通信領域之成長極為顯著,其最大的特點為可攜帶性及低功率,所以,不僅移動通信機器所使用之共振器、過濾器、電容器等電子裝置中高頻中高頻特性亦被視為極為重要,進一步如何使產品尺寸更小,損耗更低是重要設計考量之一。With the advancement of communication technology, all aspects of industry, science, and medicine have been applied, and the wireless communication products used have gradually diversified, especially in the field of mobile communication such as car phones and mobile phones. It is characterized by portability and low power. Therefore, not only the high-frequency and high-frequency characteristics of electronic devices such as resonators, filters, capacitors and the like used in mobile communication devices are considered to be extremely important, and further how to make the product size smaller and loss. Lower is one of the important design considerations.
例如目前所開放無線區域網路5.25GHz頻帶,由於操作頻率較高,採用一習知技術的微帶天線就會有導體歐姆損耗過大的缺點,而若另一習知技術,介質共振器天線由於基本上沒有導體歐姆損耗且輻射效率高,具有損耗低、增益高的優點,因此極適合應用於此類高頻帶操作。不過,習知的介質共振器天線其介電常數大約在20~30之間,其高度比起微帶天線要來的高,因此一般介質共振器天線為了縮小體積,特別是降低天線高度,在設計上常採用提高介質介電常數(一般大於70)的方法,但提高介質介電常數會造成天線操作頻寬的下降,經常無法滿足頻帶內的頻寬需求。For example, in the current 5.25 GHz band of the open wireless local area network, due to the high operating frequency, a microstrip antenna using a conventional technique has the disadvantage that the ohmic loss of the conductor is excessively large, and if another conventional technique, the dielectric resonator antenna is There is basically no conductor ohmic loss and high radiation efficiency, and it has the advantages of low loss and high gain, so it is very suitable for such high-band operation. However, the conventional dielectric resonator antenna has a dielectric constant of about 20 to 30, and its height is higher than that of the microstrip antenna. Therefore, in general, the dielectric resonator antenna is required to reduce the volume, especially the antenna height. The method of increasing the dielectric constant of the dielectric (generally greater than 70) is often used in the design. However, increasing the dielectric constant of the dielectric causes a decrease in the operating bandwidth of the antenna, and often cannot meet the bandwidth requirement in the frequency band.
然,在欲滿足此種需求之材質方面,習知之BaO-稀土類氧化物-TiO2 系的陶瓷組成物是考慮的方向之一,除了希望能實現小性化外,更希冀達到介電常數(dielectric constant)高,介電損失(dielectric loss)小的目的,但是,適合於小型高頻裝置之BaO-稀土類氧化物-TiO2 系之電介質陶瓷組成物,都具有極高介電常數,即使改由添加其他成分的方式,對於所要求之介電常數低的BaO-稀土類氧化物-TiO2 系陶瓷組成物仍有所困難,而不易達成且成本仍高。However, in order to meet the demand for such materials, the conventional BaO-rare earth oxide-TiO 2 ceramic composition is one of the considerations. In addition to the desire to achieve miniaturization, it is desirable to achieve a dielectric constant. (dielectric constant) is high, and the dielectric loss is small. However, the BaO-rare earth oxide-TiO 2 dielectric ceramic composition suitable for a small-sized high-frequency device has an extremely high dielectric constant. Even if a method of adding other components is changed, it is difficult to achieve a BaO-rare earth oxide-TiO 2 -based ceramic composition having a low dielectric constant, which is difficult to achieve and costly.
所以,本發明人提出一創新且富進步性的介電質共振器技術來達到改進前述所未能解決的問題。Therefore, the inventors have proposed an innovative and progressive dielectric resonator technology to achieve the aforementioned problems that have not been solved.
爰是,本發明的目的在於設計出介電損失小與具有等向性的一種利用介電質共振器來設計負折射率介質。Accordingly, it is an object of the present invention to design a negative refractive index medium using a dielectric resonator with a small dielectric loss and isotropic.
基於上述目的本發明為一種利用介電質共振器來設計負折射率介質,其與複數基板連結設置,其包含有:至少一單位晶格、至少一第一立方體與至少一第二立方體,而不同個該單位晶格之間具有相互垂直的一第一間距與一第二間距的陣列設置於單一個該基板上,每一個該第一立方體相對設於每一個該單位晶格中,且,每一個該第二立方體相對設於每一個該單位晶格中,且該第二立方體與該第一立方體之間為具有一第三間距的間隔設置方式,該第一立方體與該第二立方體的介電常數為大於20。Based on the above object, the present invention is a dielectric refractive resonator for designing a negative refractive index medium, which is coupled to a plurality of substrates, and includes at least one unit cell, at least one first cube, and at least one second cube. Arrays having a first pitch and a second pitch perpendicular to each other between the different unit lattices are disposed on a single substrate, and each of the first cubes is oppositely disposed in each of the unit lattices, and Each of the second cubes is disposed opposite to each of the unit cells, and the second cube and the first cube are spaced apart by a third pitch, the first cube and the second cube The dielectric constant is greater than 20.
藉由上述技術方案,本發明為一種利用介電質共振器來設計負折射率介質,其具有下列優點:With the above technical solution, the present invention is a dielectric refractive resonator for designing a negative refractive index medium, which has the following advantages:
一、本發明為利用介電常數值大於20以上的材質,經本發明的設計設置,其可改良習知技術所產生的介電損失大的缺點,且本發明除具介電損失小的優勢外,更具有等向性,甚為具有相當大的產業利用性。1. The present invention utilizes a material having a dielectric constant value of more than 20 or more. The design of the present invention can improve the disadvantage of large dielectric loss caused by the prior art, and the present invention has the advantage of having a small dielectric loss. It is more isotropic and has considerable industrial applicability.
二、而本發明的製作成本與方式,均為相當簡易,以兩個材質相同的立方體,透過本發明的陣列設置方式,即可改善習知技術中,無法結合具有體積小且介電常數低的物質的缺失,故,本發明的方式可降低製造成本,而讓相關產業的利用性提高。Second, the manufacturing cost and the method of the present invention are relatively simple, and two cubes of the same material can be improved in the prior art by the array arrangement method of the present invention, and cannot be combined with a small volume and a low dielectric constant. The absence of the substance, the method of the present invention can reduce the manufacturing cost and increase the usability of the related industries.
茲有關本發明的詳細內容及技術說明,現以實施例來作進一步說明,但應瞭解的是,該等實施例僅為例示說明的用途,而不應被解釋為本發明實施的限制。The detailed description of the present invention and the technical description of the present invention are further illustrated by the embodiments, but it should be understood that the embodiments are merely illustrative and not to be construed as limiting.
請參閱「圖1、2」所示,為本發明的立體結構示意圖與單一單位晶格立體示意圖,本發明為一種利用介電質共振器來設計負折射率介質,其與複數基板10連結設置,其包含有:至少一單位晶格20,而不同個該單位晶格20之間具有相互垂直的一第一間距201與一第二間距202的陣列設置於單一個該基板10上,而每一個該第一立方體21相對設於每一個該單位晶格20中,且,每一個該第二立方體22相對設於每一個該單位晶格20中,且該第二立方體22與該第一立方體21之間為具有一第三間距203的間隔設置方式,該第一立方體21與該第二立方體22的介電常數為大於20,且該第三間距203則平行於該基板10。Please refer to FIG. 1 and FIG. 2 for a schematic perspective view of a three-dimensional structure and a single unit lattice of the present invention. The present invention provides a negative refractive index medium by using a dielectric resonator, which is connected to a plurality of substrates 10 . The method includes: at least one unit cell 20, and an array of a first pitch 201 and a second pitch 202 perpendicular to each other between the unit cells 20 is disposed on a single substrate 10, and each One of the first cubes 21 is oppositely disposed in each of the unit cells 20, and each of the second cubes 22 is oppositely disposed in each of the unit cells 20, and the second cube 22 and the first cube There is a spacing between 21s having a third spacing 203. The first cube 21 and the second cube 22 have a dielectric constant greater than 20, and the third spacing 203 is parallel to the substrate 10.
其中,該基板10的材質係為聚苯乙烯,由於聚苯乙烯的介電常數相近於空氣,所以,該單位晶格20更具有垂直於單一個該基板10,且使該複數基板10間隔設置的的一第四間距220,且在空間定義上,該第一間距201定義為X軸,該第二間距202定義為Y軸,且該第四間距220定義為Z軸。The material of the substrate 10 is polystyrene. Since the dielectric constant of polystyrene is close to air, the unit cell 20 has a vertical perpendicular to the single substrate 10, and the plurality of substrates 10 are spaced apart. A fourth pitch 220, and in terms of space, the first pitch 201 is defined as the X axis, the second pitch 202 is defined as the Y axis, and the fourth pitch 220 is defined as the Z axis.
而,在間距數值的設定上,該第一間距201的設定範圍值,為選自於40毫米~50毫米之間,且47.549毫米為其最佳使用範圍值。該第二間距202的設定範圍值,為選自於20毫米~30毫米之間,且22.149毫米為其最佳使用範圍值。該第三間距203的設定範圍值,為選自於7毫米~8毫米之間,且7.5毫米為其最佳使用範圍值。該第四間距220的設定範圍值,為選自於20毫米~30毫米之間,且22毫米為其最佳使用範圍值。However, in the setting of the pitch value, the set range value of the first pitch 201 is selected from 40 mm to 50 mm, and 47.549 mm is the optimum use range value. The set range value of the second spacing 202 is selected from the range of 20 mm to 30 mm, and 22.149 mm is the optimum use range value. The set range value of the third pitch 203 is selected from 7 mm to 8 mm, and 7.5 mm is the optimum use range value. The set range value of the fourth pitch 220 is selected from the range of 20 mm to 30 mm, and 22 mm is the optimum use range value.
而,該第一立方體21的尺寸大小,為選自於10×10×10立方毫米~7×7×10立方毫米之間,最佳使用範圍值係為10×10×10立方毫米,該第二立方體22的尺寸大小,為選自於2×2×10立方毫米~7×7×10立方毫米之間,最佳使用範圍值係為6.5×6.5×10立方毫米,該第一立方體21與該第二立方體22的材料,為選自於氧化鋯(ZrO2 )、鈦酸鍶鋇((Ba,Sr)TiO3 )、二氧化鈦(TiO2 )與鈦酸鑭(LaTiO3 )的任一種。The size of the first cube 21 is selected from the group consisting of 10×10×10 cubic millimeters to 7×7×10 cubic millimeters, and the optimal use range is 10×10×10 cubic millimeters. The size of the two cubes 22 is selected from the range of 2×2×10 cubic millimeters to 7×7×10 cubic millimeters, and the optimal use range is 6.5×6.5×10 cubic millimeters. The first cube 21 is The material of the second cube 22 is selected from the group consisting of zirconium oxide (ZrO 2 ), barium titanate ((Ba, Sr)TiO 3 ), titanium dioxide (TiO 2 ) and barium titanate (LaTiO 3 ).
請再一併參閱「圖3、4、5、6、7、8、9」所示,為本發明的第一立方體穿透比與頻率的電腦模擬反應曲線圖、第一立方體穿透比與頻率的實際反應曲線圖、穿透比、頻率與相位的實部曲線圖、有效參數與頻率的實部第一曲線圖、有效參數與頻率的實部第二曲線圖、穿透比與頻率透射率曲線圖與穿透比與頻率相位傳導曲線圖;而,如「圖3」中,是將該第一立方體21經電腦模擬後可以見到一第一立方體透射率曲線210以及一第一立方體相位傳導曲線211,而且可以見到一第一立方體磁場反應212與一第一立方體電場反應213,且可由「圖4」中,見到近似的該第一立方體透射率曲線210、該第一立方體相位傳導曲線211、該第一立方體磁場反應212與該第一立方體電場反應213,「圖3、4」中所見到該第一立方體磁場反應212與該第一立方體電場反應213,其峰值分別為4.51GHz與5.78GHz,由於兩圖中該第一立方體磁場反應212與該第一立方體電場反應213的峰值,兩者相差不到0.1GHz,可說是相當近似相符。Please refer to "Figures 3, 4, 5, 6, 7, 8, and 9" as shown in the figure, which is a computer simulation reaction curve and a first cube penetration ratio of the first cube penetration ratio and frequency of the present invention. The actual response curve of the frequency, the penetration ratio, the real part curve of the frequency and phase, the first curve of the real part of the effective parameters and frequency, the second curve of the real part of the effective parameters and frequency, the penetration ratio and the frequency transmission The rate graph and the penetration ratio and the frequency phase conduction curve; and, as in "FIG. 3", the first cube 21 is subjected to computer simulation to see a first cube transmittance curve 210 and a first cube. The phase conduction curve 211, and a first cubic magnetic field reaction 212 and a first cubic electric field reaction 213 can be seen, and the first cubic transmittance curve 210, the first cube can be seen from "FIG. 4". The phase conduction curve 211, the first cubic magnetic field reaction 212 and the first cubic electric field reaction 213, the first cubic magnetic field reaction 212 and the first cubic electric field reaction 213 are seen in "Fig. 3, 4", and the peak values thereof are respectively 4.51GHz 5.78GHz, since the first two figures of the reaction field 212 cubic peak reaction cube 213 with the first field, a difference of less than 0.1GHz, can be said to be quite consistent approximation.
而,如「圖5、6、7」中,可見到同時將本發明的該第一立方體21與該第二立方體22進行整合量測,且兩者間的該第三間距203為7.1毫米,故,如「圖3、4」中的該第一立方體透射率曲線210所形成的兩個尖端,即指該第一立方體磁場反應212與該第一立方體電場反應213就會消失,而產生於「圖5」中的一第一立方體實部透射率曲線214與一第二立方體實部透射率曲線221所形成的一作用區3030,以及「圖6」中,同樣由一第一立方體實部磁場曲線215與一第二立方體實部電場曲線222也形成該作用區3030,更如「圖7」中所示的該作用區30,其頻率為5.8~5.95GHz。However, as shown in FIG. 5, 6, and 7, it can be seen that the first cube 21 and the second cube 22 of the present invention are simultaneously integrated, and the third spacing 203 between the two is 7.1 mm. Therefore, the two tips formed by the first cubic transmittance curve 210 in "Fig. 3, 4" mean that the first cubic magnetic field reaction 212 and the first cubic electric field reaction 213 disappear, resulting from A first cube real transmittance curve 214 in FIG. 5 and an active region 3030 formed by a second cube real transmittance curve 221, and in FIG. 6 also by a first cube real part The magnetic field curve 215 and a second cube real electric field curve 222 also form the active region 3030, more like the active region 30 shown in FIG. 7 with a frequency of 5.8 to 5.95 GHz.
而,如「圖8」中,一第二立方體透射率曲線224的峰值為5.84GHz與7.19GHz(圖未示),而該第一立方體透射率曲線210則為4.4GH與5.84zGHz,當兩者同時作用時,即如「圖8」中的一共同作用透射率曲線40與該作用區30,以及如「圖9」中的第一立方體相位傳導曲線211、第二立方體相位傳導曲線225與共同作用相位傳導曲線50所示,形成負折射率,且可經由該第三間距203調整為7.5毫米,使以上的該共同作用透射率曲線40與共同作用相位傳導曲線50於5.84GHz中顯示出負折射率的功效。However, as shown in FIG. 8, the peak value of a second cube transmittance curve 224 is 5.84 GHz and 7.19 GHz (not shown), and the first cube transmittance curve 210 is 4.4 GHz and 5.84 zGHz. When acting simultaneously, that is, a common transmittance curve 40 and the active region 30 in "Fig. 8", and the first cubic phase conduction curve 211 and the second cubic phase conduction curve 225 in "Fig. 9" As shown by the interaction phase conduction curve 50, a negative refractive index is formed, and can be adjusted to 7.5 mm via the third spacing 203, so that the above-described co-action transmittance curve 40 and the coaction phase conduction curve 50 are displayed in 5.84 GHz. The effect of negative refractive index.
綜上所述,本發明為利用介電常數值大於20以上的該第一立方體21與該第二立方體22,並經本發明的該單位晶格20的設置,即可改良習知技術所產生的介電損失大的缺點,且本發明除了具介電損失小的優勢外,於作用時更具有等向性,甚為具有相當大的產業利用性。In summary, the present invention utilizes the arrangement of the first cube 21 and the second cube 22 having a dielectric constant value greater than 20, and the unit cell 20 of the present invention can be modified to improve the prior art. The invention has the disadvantages of large dielectric loss, and the invention has more isotropic properties when it is used, and has considerable industrial applicability.
且,本發明的製作成本與方式,均為相當簡易,以兩個材質相同的該第一立方體21與該第二立方體22,而設置於該基板10上,即可改善習知技術中,無法結合具有體積小且介電常數低的物質的缺失,所以,本發明是可以明顯降低製造成本,並讓相關產業的利用性提高。Moreover, the manufacturing cost and the method of the present invention are relatively simple, and the first cube 21 and the second cube 22 having the same material are disposed on the substrate 10, so that the conventional technology can be improved. In combination with the absence of a substance having a small volume and a low dielectric constant, the present invention can significantly reduce the manufacturing cost and improve the usability of the related industries.
惟上述僅為本發明的較佳實施例而已,並非用來限定本發明實施的範圍。即凡依本發明申請專利範圍所做的均等變化與修飾,皆為本發明專利範圍所涵蓋。The above are only the preferred embodiments of the present invention and are not intended to limit the scope of the embodiments of the present invention. That is, the equivalent changes and modifications made by the scope of the patent application of the present invention are covered by the scope of the invention.
10...基板10. . . Substrate
20...單位晶格20. . . Unit lattice
201...第一間距201. . . First spacing
202...第二間距202. . . Second spacing
203...第三間距203. . . Third spacing
21...第一立方體twenty one. . . First cube
210...第一立方體透射率曲線210. . . First cube transmittance curve
211...第一立方體相位傳導曲線211. . . First cube phase conduction curve
212...第一立方體磁場反應212. . . First cubic magnetic field reaction
213...第一立方體電場反應213. . . First cubic electric field reaction
214...第一立方體實部透射率曲線214. . . First cube real transmittance curve
215...第一立方體實部磁場曲線215. . . First cube real magnetic field curve
22...第二立方體twenty two. . . Second cube
220...第四間距220. . . Fourth pitch
221...第二立方體實部透射率曲線221. . . Second cube real transmittance curve
222...第二立方體實部電場曲線222. . . Second cube real electric field curve
223...第二立方體實部折射率曲線223. . . Second cube real refractive index curve
224...第二立方體透射率曲線224. . . Second cube transmittance curve
225...第二立方體相位傳導曲線225. . . Second cube phase conduction curve
30...作用區30. . . Action area
40...共同作用透射率曲線40. . . Cooperative transmittance curve
50...共同作用相位傳導曲線50. . . Interaction phase conduction curve
圖1為本發明的立體結構示意圖。Figure 1 is a schematic perspective view of the present invention.
圖2為本發明的單一單位晶格立體示意圖。2 is a schematic perspective view of a single unit cell of the present invention.
圖3為本發明的第一立方體穿透比與頻率的電腦模擬反應曲線圖。Figure 3 is a graph showing the computer simulation response of the first cube penetration ratio and frequency of the present invention.
圖4為本發明的第一立方體穿透比與頻率的實際反應曲線圖。Figure 4 is a graph showing the actual reaction curve of the first cube penetration ratio and frequency of the present invention.
圖5為本發明的穿透比、頻率與相位的實部曲線圖。Figure 5 is a real part plot of the penetration ratio, frequency and phase of the present invention.
圖6為本發明的有效參數與頻率的實部第一曲線圖。Figure 6 is a first graph of the real part of the effective parameters and frequencies of the present invention.
圖7為本發明的有效參數與頻率的實部第二曲線圖。Figure 7 is a second graph of the real part of the effective parameters and frequencies of the present invention.
圖8為本發明的穿透比與頻率透射率曲線圖。Figure 8 is a graph showing the penetration ratio and frequency transmittance of the present invention.
圖9為本發明的穿透比與頻率相位傳導曲線圖。Figure 9 is a graph showing the penetration ratio and frequency phase conduction of the present invention.
10...基板10. . . Substrate
20...單位晶格20. . . Unit lattice
21...第一立方體twenty one. . . First cube
22...第二立方體twenty two. . . Second cube
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Citations (3)
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EP1771756A2 (en) * | 2004-07-23 | 2007-04-11 | The Regents of the University of California | Metamaterials |
TW200743123A (en) * | 2006-05-09 | 2007-11-16 | Univ Nat Tsing Hua | Artificial magnetic material for exhibiting magnetic response under different frequencies |
TW200743264A (en) * | 2006-05-05 | 2007-11-16 | Univ Nat Tsing Hua | Planar focusing antenna |
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EP1771756A2 (en) * | 2004-07-23 | 2007-04-11 | The Regents of the University of California | Metamaterials |
TW200743264A (en) * | 2006-05-05 | 2007-11-16 | Univ Nat Tsing Hua | Planar focusing antenna |
TW200743123A (en) * | 2006-05-09 | 2007-11-16 | Univ Nat Tsing Hua | Artificial magnetic material for exhibiting magnetic response under different frequencies |
Non-Patent Citations (1)
Title |
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「Application of cubic high dielectric resonator metamaterial to antennas」Antennas and Propagation Society International Symposium, 2007 IEEE APS. 2007. 4396003 Publication Year: 2007 , Page(s): 2349 - 2352 * |
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