ebook img

Novel Materials Processing by Advanced Electromagnetic Energy Sources. Proceedings of the International Symposium on Novel Materials Processing by Advanced Electromagnetic Energy Sources March 19–22, 2004, Osaka, Japan PDF

427 Pages·16.432 MB·English
Save to my drive
Quick download
Download
Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.

Preview Novel Materials Processing by Advanced Electromagnetic Energy Sources. Proceedings of the International Symposium on Novel Materials Processing by Advanced Electromagnetic Energy Sources March 19–22, 2004, Osaka, Japan

PREFACE The International Symposium on Novel Materials Processing by Advanced Electromagnetic Energy Sources (MAPEES04) was organized by the Joining and Welding Research Institute, Osaka University and held on March 19-22, 2004. It was supported by the Ministry of Education, Culture, Sports, Science and Technology (MEXT) and National Institute of Advanced Industrial Science and Technology (MST). It was cooperated with Atomic Energy Society of Japan, The Ceramic Society of Japan, The Chemical Society of Japan, High Temperature Society of Japan, The Institute of Electrical Engineers of Japan, The Japan Institute of Metals, The Japan Society of Applied Physics, The Japan Society of Plasma Science and Nuclear Fusion Research, Japan Society of Powder and Powder Metallurgy, Japan Welding Engineering Society and Japan Welding Society. About 250 attendants made a big event of the symposium in which 2 plenary lectures, 03 keynote lectures, 90 oral and 05 poster presentations were dedicated to the latest development and progress of materials processing by electromagnetic energy sources. Represented countries include: Australia, China, Czech Republic, Germany, Japan, Korea, Russia, Sweden, UK and USA. This volume contains the selected papers presented at the symposium and provides na excellent reference to the progress in the development of advanced electromagnetic energy sources and application to materials processing. The manuscripts have been peer reviewed in the customary way for a standard journal publication. The editorial board consisted of members of Osaka University, Japan with N. Abe, .S Kirihara, .Y Makino, .S Miyake, .H Serizawa, .T Shibayanagi, .Y Takahashi, .M Tsukamoto and .T Tsumura. Thanks are due to the more than 05 colleagues who acted as careful referees for the papers. Number of works reported in this volume are ,29 and they are divided into 8 chapters including 2 Plenary Lectures in Chapter ;1 Plasma Processing, Microwave/mm-wave Processing, Laser Processing, Ion Cluster and Ultrafine Particle Processing, Pulsed High Current Processing, as well as Functional Materials Synthesis, Coating and Modification of Materials. They show significant progress in novel and interdisciplinary materials processing with close correlation of development and control of advanced electromagnetic energy sources. The chairman of the symposium would like to thank lla of the session chairmen, invited and oral speakers, poster presenters and lla of participants for their contribution in making the meeting successful. Thanks are also due to lla members of the organizing committee, international advisory committee and local organizing committee. Editor-in-Chief .S Miyake XV muisopmyS noitazinagrO nosrepriahC ekayiM.S akasO( ,ytisrevinU )NPJ lanoitanretnI Advisory eettimmoC ,abukuT(odekA.J )NPJ ,nisnocsiW(eksooB.J )ASU ,arrebmaC(llewsoB.R )SUA ,ainrofilaC(nworB.I )ASU ynhziN(vokyB.Y ,dorogvoN )SUR luoeS((naH.J )ROK ,akasO(awazI.Y )NPJ ,naslU(nowK.Y )ROK ,naiX(iL.C )NHC ,egdirbmaC(saxateM.R )RBG ,nezlP(lisuM.J )EZC ,mlohkcotS(nergyN.M )EWS .V ynhziN(vonemeS ,dorogvoN )SUR .H ,ayogaN(iaguS )NPJ ,otoyK(anabihcaT.K )NPJ ,ehurslraK(mmuhT.M )UED ,akasO(ihsokamU.Y )NPJ ,akasO(oihsU.M )NPJ ,htueryaB(adaroP-trelliW.M )UED ,gnijieB(uX.B )NHC ,ijemiH(adamaY.I )NPJ ,oykoT(adihsoY.T )NPJ gnizinagrO Committee ,U-akasO(araH.S )akasO ,U-ukohoT(amayekataH.R )iadneS ,U-iukuF(arahedI.T )iukuF ,U-ayogaN(amayemaK.T )ayogaN ,U-uhsuyK(iawaK.Y )akoukuF ,U-akasO(ihsayaboK.~aK )akasO ,TSM(agoK.Y )abukusT ,U-otoyK(amayhoK.A )otoyK ,U-akasO(otoamayiM.Y )akasO ,U-akasO(iroM.H )akasO ,U-ikniK(otomiroM.J )akasO ,U-akasO(akaN.M )akasO ,U-akasO(atakaN.K )akasO ,U-nakihsukoK(awakiN.Y )oykoT ,U-akasO(igoN.K )akasO ,U-akasO(iromhO.A )akasO ,U-oyoT(otomakO.Y )amatiaS ,LCG(ijaS.T )agihS .M ,SFIN(otaS )ikoT ,U-ayogaN(iakaT.O )ayogaN ,TIN(akanaT.S )ayogaN akasO(akanaT.T ,U-oygnaS )akasO ,MCS(atikoT.M )akasO W.Y ,U-uhsuyK(ebanata )akoukuF ,U-akasO(adiganaY.S )akasO ,TUN(iustaY.K )akoagaN ,U-ahsihsoD(arumikuY.K )otoyK ivx Local Organizing Committee yraterceS(onikaM.Y ,lareneG ,U-akasO )akasO ,U-akasO(ebA.N )akasO ,U-akasO(arahiriK.S )akasO ,TSIA(ihsayaboK.K )ayogaN ,IRTIK(iagamuK.M )awaganaK ,SAIR(arahawuK.H )otoyK ,U-akasO(iroM.M )akasO ,IRMN(imakaruM.K )oykoT ,TUT(ayimihsiN.N )ayogaN .H ,FTK(otiaS )awaganaK ,TSM(onaS.S )ayogaN .H ,U-akasO(awazireS )akasO .Y ,U-otoyK(arahusteS )otoyK . T,U-akasO(iganayabihS )akasO .T ,TUN(ikuzuS )akoagaN ,U-akasO(ihsahakaT.Y )akasO ,ICG(amayakaT.S )ufiG ,TSM(ihcuekaT.H )akasO ,U-ukohoT(awazikaT.H )iadneS ,U-akasO(otomakusT.M )akasO ,U-akasO(arumusT.T )akasO ,U-akasO(adaW.Y )akasO iivx Novel Materials Processing (MAPEES'04) S. Miyake (Ed.) (cid:14)9 2005 Elsevier Ltd. All rights reserved SMART PROCESSING DEVELOPMENT OF NOVEL MATERIALS FOR ELECTROMAGNETIC WAVE CONTROL Yoshinari Miyamoto*, Soshu Kirihara*, Keitarou Hino*, Mitsuo Wada Takeda**, Katsuya Honda***, Kazuaki Sakoda**** * Smart Processing Research Center, Joining and Welding Research Institute, Osaka University, lbaraki, Osaka 567-0047, Japan ** Department of Physics, Faculty of Science, Shinshu University 3-1-1 Asahi Matsumoto, Nagano 390-8621, Japan ***Department of Mathematical Sciences, Faculty of Science, Shinshu University 3-1-1 Asahi Matsumoto, Nagano 390-8621, Japan **** Nanomaterials Laboratory, National Institute for Matrerials Science 3-13 Sakura, Tsukuba, Ibaraki 305-0003, Japan Abstract: A new concept of the smart processing is proposed that can create highly functional materials and components by finely controlling the process energy and engineering structures. Novel materials of 3D photonic crystals and fractals for electromagnetic wave control are demonstrated which are constructed of dielectric ceramics and polymer by a CAD/CAM system of stereolithography. Freeform fabrication and modification of photonic crystals with diamond structure can open various applications to communication and sensing technology in GHz and THz range. Photonic fractal is the entirely new material which can strongly localize electromagnetic waves in the fractal structure without reflection and transmission. A wide variety of applications to communication, energy, and sensing are also expected. Keywords: Photonic Fractal, Photonic Crystal, CAD~CAM, Microwave, Millimeter Wave, Terahertz Wave, Stereolithography. 1. CONCEPT OF SMART PROCESSING joining methods with three-dimensional freeform fabrication on the nano and micro scale. The Smart Processing Research Center has been Smart Green Process is investigating toxic free established in Joining and Welding Research and eco-joining and interconnecting processes for Institute, Osaka University in 2003, based on the advanced micro- electronic chips and devices. new concept of the smart processing in which the The Nano-particles Bonding is developing ways process energy is minimized and supplied to a to precise control the bonding of nanosized limited area or point by fine and precise control of particles and materials for information technology, materials processing that can lead to originate environmental engineering, and life science. The new functions or higher performances resulting in Reliability Assessment and Prediction will saving energy and resources. There are six develop evaluation and modeling tools for joining research departments in SPRC. The department of of nano- or microstructured materials and devices. The Smart Beam Processing is developing ways In the department of The Nano/Micro Structure to precise control and optimize the energy and Control, the 3D architecture for nano/micro functions of laser and fine particle beams used for structured materials of ceramics, polymers, metals, joining and material processing. The Smart and their composites has been developed using Coating Process is investigating how to finely solid freeform fabrication (SFF) techniques of control and optimize plasma spray processing on CAD/CAM system (Miyamoto, et al., 2000; the nano and micro scale for modifying surfaces ,arahiriK et al., 2002a, b; Kanehira, et al., 2003; of medical and environment-purification materials. Oh, et al., 2003). Many SFF processes have been The Nano/Micro Structure Control aims to create developed and practically used since 1990s new material functions by integrating advanced (Pique., et al., 2003). These processes have been applied mainly in the field of prototyping of medium and confirmed the formation of the complicated models and components. If both complete photonic band gap (Yablonovitch and external and internal structures or textures are Gmitter, 1991). freely designed and fabricated using various We have succeeded in fabricating a perfect materials with dielectric, magnetic, catalytic, heat diamond structure with a millimeter size and/or wear resistant properties, the excellent periodicity by stereolithography of an SFF integration of the material structure and function process. The periodic structure is composed of an would be realized. As such examples, 3D epoxy lattice incorporating TiO2-SiO2 composite photonic crystals and fractals are demonstrated particles. These artificial crystals showed which we are developing as novel materials for photonic band gap in a GHz range. Complex 3D electromagnetic wave control. structures, such as diamond lattice and its various modifications including lattice defect, graded 2. 3D Photonic Crystals for Electromagnetic Control in GHz to THz Range Photonic crystal is known as a periodic dielectric array with different dielectric constants which can totally reflect light or electromagnetic waves with the wavelength similar to the periodicity due to Bragg deflection and form the photonic band gap like the formation of electronic band gap in semiconductors (Joannoppoulos, et al., 1995). Research and development on photonic crystals are rapidly increasing since 1990s became many applications to optical and communication devices are expected. The diamond structure is considered as an ideal structure for photonic crystals because it can provide a complete photonic band gap in which electromagnetic waves are totally reflected for all directions (Ho, et al., 1990). It is difficult, however, to fabricate such a complex structure because the lattice is bonded three dimensionally with a non-orthogonal angle of . ~ 109.5 Yablonovitch and Gmitter fabricated a diamond- like structure called "Yablonovite" by drilling holes at different angles in a slab of dielectric gninnacS ~ Mirror Laser Diode LBO AOM Fig.2. Photos of lattice planes of the normal 0 f Lens Length: 350nm Wave diamond structure made from epoxy with 200mW Rating Power: TiO2-SiO2 dispersed particles, and the corresponding attenuations of transmission eegeeuqS amplitude of microwave with TEl0 mode in position Control Z each direction as a function of frequency. Layer Thickness 100pro " lattice spacing, and inverse structure as well as simple device formations, can be easily designed Object 3-D and formed by the CAD/CAM system of stereolithography. Elevator Table The structure of diamond photonic crystals and its modifications or simple device models are Photo Polymer designed on a computer using a CAD program (Toyota Caelum Co. Ltd, thinkdesign ver.5.0). Fig.1 A schematic illustration of a stereo- The designed structure is converted into a rapid lithographic machine. prototyping format (STL file), sliced into a set of thin sections, and transferred to a stereographic 0.7 i i i i 40 machine (D-MEC Co.Ltd, Japan, SCS-300P). 0.6 Figure 1 illustrates a schematic of a stereo- lithographic machine. This machine forms a 4.11 ~" three-dimensional object layer- by-layer by scanning a UV laser of 355 nm in wavelength over a liquid photopolymer epoxy resin. The o i /I 1o~ ~ thickness of each layer is about 100 ~tm. The dimension accuracy of the structure is within 0 ~ L F X " W F K 0 0.15 %. The TiO2-SiO2 powders with a particle <111> <100> <110> size of about 100m are dispersed into the liquid Calculated Electromagnetic Band of InvDeirasmeo nd Structure resin in order to increase the dielectric constant of O--O Frequency Raage ofPhotonic Bandgap Obtained by Experiment the lattice. Perfect Photonic Bandgap Opening for All Crystal Directions Fig.4. Calculated band diagram for the inverse diamond structure. times higher than that of epoxy. All attenuations are very sharp which can be used for filters. However, frequency levels are different depending on the periodic distance of each direction and no common band gap is opened due to the low dielectric constant of the lattice. It is possible to widen the band gap by increasing the filling factor of the dielectric medium. An easy way to increase the filling factor is to design the inverse diamond structure which consists of the diamond lattice of air holes in the dielectric medium. Figure 3 shows each plane of the inverse diamond structure and the attenuation curves. The filling factor is increased to 67 vol.% from 33 vol.% of the normal diamond structure. The band gap is broad and the common band gap is formed between 17-18 GHz. Figure 4 shows the band diagram calculated for the inverse diamond structure by the plain wave expansion method (Ho, et al., 1990). We can use the position data in a CAD model for calculation of the structure factor in band calculation. The closed circles are the measured band edges which are well agreed to the Fig.3. Photos of lattice planes of the inverse diamond structure made from epoxy with TiO2-SiO2 dispersed particles, and the corresponding attenuations of transmission amplitude of microwave with 0~ET mode in each direction as a function of frequency. Figure 2 shows lattice planes of the diamond structure on (100), (110), (111), and the attenuation of microwaves normal to each plane Fig.5. Photo of a directional antenna head made which was measured using a network analyzer of the graded diamond structure and its (HP-85070B) and a microwave metal cavity. The emission profile. The microwave at 51 GHz unit cell dimension is 51 mm. The content of was emitted from a mono-pole antenna at the TiO2-SiO2 in the epoxy lattice is 7 vol.%. The middle of the interface between the normal dielectric constant of the lattice is 4 which is two and extended lattices. band diagram. It is very important for device periodicity of several ten to hundreds pan are applications to develop various modification formed, such a beam device emitting THz wave techniques of photonic crystal structures. Figure 5 with several tens to hundreds pan wavelength can is a directional antenna made of a graded photonic be used as a micro-radar sensor which is expected crystal consisting of the normal and extended to detect surface cracks or defects of materials, diamond lattices. When the electromagnetic wave bacterium in foods, skin cancer, and other defects with the similar wavelength to the normal lattice or foreign objects. When the lattice rods become thin in micro- or nano-meter size, nanometer sized ceramic particles must be dispersed into the epoxy lattice. Figure 6 shows such a nano-sized TiO2-SiO2 particles (7 vol.%) dispersed photonic crystal. It consists of 1000 unit cells with the lattice constant of lmm. The transmission amplitude was measured by terahertz time- domain spectrometry (Kitahara, 2001). The band gap is formed in 200 GHz range as shown in Fig. 7. 3. CONFINEMENT OF ELECTROMAGNETIC WAVES IN 3D PHOTONIC FRACTALS Fractal is known as a geometric structure with self-similarity that is repeated at ever scales to produce complex shapes and surfaces Fog.6. Photo of a diamond photonic crystal (Mandelbrot, 1982). The fractal structure has no composed of 1000 unit cells. periodicity and no translational symmetry like crystal structures. Recently, we have succeeded in period is emitted at the center of the interface fabrication of 3D fractal structures called Menger between the normal and extended lattices, the sponge, which are made of dielectric media such wave is reflected by the normal lattice and as epoxy and ceramics, and found a significant reflected toward the opposite direction. The event that the electromagnetic wave is strongly microwave emitted is collected in one direction localized in the fractal without reflectance and and amplified to 1 0O times against the emission to transmittance (Takeda, et al., 2004; Miyamoto, et all directions. Such a graded photonic crystal can al., 2004). 3D photonic crystal totally reflects be used as a high performance and light electromagnetic waves in the band gap without directional antenna. transmission. On the other hand, 3D photonic If much smaller photonic crystals with the fractal does not form the band gap, but the electromagnetic wave with the wavelength associated with the fractal pattern, dimension, and size is strongly localized. Such a material which can confine electromagnetic wave without reflectance and transmittance is not known until now. Moreover, a variety of potential applications to communication, energy, sensing, medical care, and many other fields can be considered. Interaction of optical, electromagnetic, and acoustical waves with fractal structures has been of theoretical and practical interest in recent years (Alexander and Orbach, 1982; Shalaev, 2000; Bertolotti, et al., 1996; Sibilia, et al., 1998; Wen, et al, 2002; Hohlfeld and Cohen, 1999). However, studies concerning the propagation properties of electromagnetic waves in dielectric fractal structures were restricted to one-dimensional planar fractals. A 3D fractal structure is necessary Fig.7. Transmission of electromagnetic wave for to completely localize the light or electromagnetic the diamond photonic crystal as a function of waves in a 3D space. Nevertheless, dielectric 3D frequency. fractal structures were not fabricated probably due to the difficult construction. reflection was placed 10mm away and normal to We have fabricated 3D fractals called Menger the surface of the cubic sample. Another antenna sponge of size comparable with microwave range was placed at the opposite side of the sample to by stereolithography and investigated the receive the microwave. A thick layer of propagation characteristics of electromagnetic low-density absorber was placed around the four waves in this structure. It is very difficult to sides of the sample to prevent disturbance from fabricate such a complex fractal structure by other superfluous reflection and diffraction components. methods except CAD/CAM systems. The result is shown in Fig. 9. Both sharp The Menger sponge is the 3D version of a Cantor attenuations for reflection and transmission to -40 bar fractal (Sun and Jaggard, 1991). The Cantor dB were observed at about 8 GHz. bar fractal is formed by extracting the center It is confirmed in our previous study that this segment of equivalent three segments divided localization of electromagnetic wave exists in the from an initial bar and repeating this process to large central air-cube of the Menger sponge the remaining two side segments. The fractal structure and the wavelength of the localized dimension D of the Menger sponge is calculated mode can be calculated using the following by the following relationship: N = S ,D where N is empirical equation (Takeda, et al., 2004). the number of the self-similar units newly created when the size of the initial unit decreases to 1/S. ~col,~ = 2/3 a ffeS/~ (1) In the present Menger sponge, N = 20, and S = 3, so that D = log 20 / log 3 ~- 2.73. where ~,loeal is the wavelength of the localized mode in air (optical length), a is the cube side length, r~eS is the mean dielectric constant of the fractal structure. In the case of the stage 3 Menger sponge, a = 27 mm, and raeG is 4.17. The calculated wavelength of l~ol.~ is 36.75 mm. Thus Fig.8. Photo of a stage 3 Menger sponge Fractal made of TiO2-SiO2 particles dispersed in epoxy, and the reflection and transmission spectra. We constructed it from a dielectric cube with a side length a, which is composed of TiO2-SiO2 dispersed epoxy composite as shown in Fig. 8. Fig.9. Reflection and transmission spectra of The cube is divided into 27 identical cube pieces, electromagnetic wave for the stage 3 Menger and the seven pieces at the body- and face-centers sponge fractal. are extracted. By repeating the same extraction process for the remaining twenty pieces we create the frequency of the localized mode is obtained to the Menger sponge. The side length a of the be 8.16 GHz, which agreed well with the initiator is 27 mm. The lengths of the longest, measured frequency. The Q factor obtained from middle, and shortest sides of the square air rods the attenuation peak of the transmission spectrum are 9 mm, 3 mm, and 1 mm, respectively. is 8000 suggesting the relaxation time of the Normally incident reflection and transmission localized mode to be 167 ns (Kirihara, et al., spectra of the Menger sponge were measured by 2004). This relaxation time allows more than 100 using a network analyzer and two mono-pole times computation of elemental step in a current antennae (Takeda, et al., 2004). A mono-pole personal computer. antenna for microwave emission and detection of Figure 01 shows a stage 3 Menger sponge fractal made of 100 % TiO2-SiO2 ceramic which was mode, if the structure is composed of an sintered at 1450~ in air after burning the 10 efficiently low dielectric-loss material and the vol% TiO2-SiO2 dispersed epoxy fractal as shown number of stage m is sufficient which can reduce in Fig. 8. The linear shrinkage ratio is 57 % and the medium of fractal. Such energy accumulation the porosity is 55 %. The cube edge length; a is in the 3D fractal structure may provide new 11.6 mm. The mean dielectric constant of the various heat treatment devices for industrial, ceramic fractal; ffe~ is 3.6. The sintered fractal is home and medical uses depending on the power. porous, but the complex structure is well If high efficiency in energy accumulation is conserved without any cracks. Both reflection and realized, photonic capacitors and collectors would transmission spectra showed deep dips at 19.1 be realized. GHz as shown in Fig. .11 The calculated frequency of the localized mode using equation (1) is 20.5 GHz, which is nearly close to the measured frequency. Dense ceramic photonic fractals would lead to development of new information and communication micro devices. The strong localization of electromagnetic wave can not be explained by Bragg deflection and band gap formation. Probably such localization may occur due to the interference of multiple reflections in the fractal structure. However, it is not solved yet at present. The theoretical study to account for the localization of electromagnetic wave in 3D fractal structures is very interesting and challenging. Fig.ll. Reflection and transmission spectra of electromagnetic wave for the ceramic Menger sponge fractal. 4. SUMMARY There would be many routes to realize the concept of smart processing that can produce high performance products by finely controlling energy and resources resulting in saving energy and resources. We are applying the SFF process as a smart processing to create new functional components such as photonic crystals and fractals. These smart processes are based on CAD/CAM Fig.10. Photo of a ceramic Menger sponge fractal system so that the process can be linked by of TiO2-SiO2. internet. Such smart process network will realize worldwide collaborations and accelerate Dielectric fractal structure such as Menger sponge development of new materials science and can provide an ideal absorber without reflectance engineering, that would lead to establishing and transmission for electromagnetic waves remote manufacturing systems in industry. because the corresponding frequency can be varied widely by the use of scaling law between the frequency and size and effective dielectric ACKOWLEDGEMENT constant of the fractal at the initial stage. Of course, when the fractal structure is made in This study is partially supported by the grant for optical wave scales, the light can be localized and the 12 ts Century's COE program "Center of confmed that will be used to various photonic Excellence for Advanced Structural and applications. It may be possible to confine and Functional Materials Design" under the auspices accumulate the electromagnetic energy in the 3D of the Ministry of Education, Culture, sports, fractal structure as a confined electromagnetic Science and Technology. REFERENCES Ho, K. H., .C .T Chart and .C M. Soukoulis (1990). Existence of a Photonic Gap in Periodic Miyamoto, ,.Y J. Oh, .S Kirihara and K. Matsuura Dielectric Structures. Phys. Rev. Lett., 65, (2000). Cybermaterials Engineering:Concept, 3152-55. Processes and Applications. pp. B 11-14 in Kitahara, H., N. Tsumura, .H Kondo and M. .W Proc. of 7 ht Annual Int. Conf. on Composites Takeda (2001). Terahertz Wave Dispersion in Engineering, Denver, Edited by D. Hui. Two-dimensional Photonic Crystals. Phys. Miyamoto, ,.Y S.Kirihara, S.Kanehira, Rev. B64, 0456202-1-7. M.W.Takeda, K.Honda and K.Sakoda (2004). Alexander, S and R. Orbach (1982). Density of Smart Processing Development of Photonic States on Fractals:<<Fractons>>. J. Phys. Crystals and Fractals. Int. .J Appl. Ceram. Lett., 43, L625-631. Technol, ,1 40-48. Shalaev, V.M. (2000). (2000). Nonlinear Optics of Kirihara, ,.S .Y Miyamoto, K. Takenaga, M. .W Random media: Fractal Composites and Takeda and K. Kajiyama (2002a). Metal-Dielectric Films, Springer Tracts in Fabrication of Electromagnetic Crystals with Modem Physics 158, Springer, Berlin, A Complete Diamond Structure by Heidelberg. Stereolithography. Solid State Bertolotti, M., .P Masciulli, .C Sibilia, .F Communications, 121,435-39. Wijinands, and .H Hoekstra (1996). Kirihara, ,.S M. .W Takeda, K. Sakoda and .Y Transmission properties of a Cantor Miyamoto (2002b). Control of Microwave corrugated waveguide. .J Opt. Soc. Am. B, ,31 Emission from Electromagnetic Crystals by 628-634. Lattice Modifications. Solid State Sibilia, C., .I .S Nefedov, M. Scalora, and M. Communications, 124, 135-39. Bertolotti (1998). Electromagnetic mode Kirihara, ,.S M. .W Takeda, K. Honda, K. Sakoda density for f'mite quasi-periodic structure. J. and .Y Miyamoto (2004). Confinement of Opt. Soc. Am. B, ,51 1947-1952. Microwaves in a 3D Ceramic/Epoxy Fractal. Wen, ,.W .L Zhou, .J Li, .W Ge, .C .T Chen and .P Solid State Communications, to have been Sheng (2002). Subwavelength Photonic submitted. Band Gaps from Planar Fractals. Phys. Rev. Kanehira, ,.S .S Kirihara, .Y Miyamoto, K. Lett., 89, 223901(1-4). Sakoda and M. .W Takeda (2003). Bandgap Hohlfeld, R.Ct and N. Cohen (1999). Modification of Diamond Photonic Crystals Self-Similarity and the Geometric by Changing the Volume Fraction of the Requirements for Frequency Independence Dielectric Lattice. J. Am. Ceram. Soc., ,68 in Antennae. Fractal, 7, 79-84. .49-1961 Sun, .X and .D .L Jaggard (1991). Wave Oh, J.H., .S Kirihara, .Y Miyamoto, K. Matsuura Interactions with Generalized Cantor Bar and M. Kudoh (2003). Process Control of Fractal Multilayers. J. Appl. Phys., 70, Reactive Rapid Prototyping for Nickel 2500-07. Aluminides-II. Materials Science and Engineering, A339, 292-297. Pique, A., A. .S Holmes and .D .B Dimos. Ed. (2003). Rapid Prototyping Technologies, Materials Research Society Symposium Proceedings, 758, Materials Research Society, Warrendale. Joannopoulos, J.D., R. .D Meade and .J N. Winn (1995). Photonic Crystals, Princeton University Press, Princeton. Mandelbrot, B.B (1982). The Fractal Geometry of Nature, .W .H Freeman & Company, San Francisco. Takeda, .W M, .S Kirihara, .Y Miyamoto, K. Sakoda and K. Honda (2004). Strong Localization of Electromagnetic Waves in Three-dimensional Photonic Fractals. Phys. Rev. Lett., 92, 093902-1-4. Yablonovitch, E and .T J. Gmitter (1991). Photonic Band Structure: The Face-Centered-Cubic Case Employing Nonspherical Atoms. Phys. Rev. Lett., 67, 2295-98.

See more

The list of books you might like

Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.