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2g(Z) q X T 9 sMI ? GAG ' GO ' 3^WX#^^g#X%9X# ^^x^x "fim##gg^^^x^q ^>/^xo% °9<$a_cm;/x ? ^ m ^ ? % 9xm#j-^>-^ rg##a^-x^^##xmj z:^9^ ^#0) #}###'fj q /; ^X The main aim of this research project is to propose and develop a concrete novel storage system with huge capacity and high data rate. The storage system based on the fundamental patents holding by the individual organizations of the project realizes 1 tera-byte data storage in a CD-size optical disk with high data rate reaching 1 Gbits per second. In addition, the storage system has upper compatibility with existing optical storage systems such as CD and DVD. No similar system has never been developed through the world and hence the proposed system is regarded as an innovative one which meets the recent explosive demands in information technology (IT.) Although the fundamental experiments of the proposed system have been achieved, no demonstrative platform of the tera-byte storage has become a reality. To demonstrate the technology, the project team is requested to (1) show experimental demonstration of the CD and DVD upper compatibility with the optical disk storage system, (2) fabricate the proto-type optical disks to be used in the present system, and (3) develop a novel spatial light modulator enabling the high speed data rate of the storage system. Then, in the joint project, research and development have been carried out by focusing on the three particular sub-topics as the following: [1 Optical disk evaluation system] The proposed system is based on the novel technique, called as collinear-polarization digital volume holography, which was originally developed by Optware Corp. in Japan. In this project, demonstration of the write/read process for a rotating optical disk was first attempted with the above technique. Based on the results, an optical disk evaluation system based on the collinear-polarization digital volume holography was developed. In addition, the CD/ DVD compatibility was also demonstrated with the system. [2 Hologram optical disk] Wright-once optical disks for the above system were developed. Optical disks with pre-formatted patterns were actually formed with the so-called CROP material, photopolymer material developed by Aprilis Inc. in USA, and were tested in the above storage system. Based on the results, developments in a re-wrightable material were also attempted by calculating the optical nature of nano-scale magnetic structures and by actually forming the composite materials.

[3 Spatial light modulator] Data rate of the proposed storage system is predominated by the performance of the spatial light modulator which is used to produce information-carrying optical beam for recording. As a conventional spatial light modulator, liquid crystal type is now available, but the operation speed of the device is too low to maintain the data rate of 1 Gbits/s. To overcome this problem, an attempt was made for materializing a -type spatial light modulator based on the magnetophotonic crystal technology.

— 2 — The joint team for the project was composed of three domestic companies (Optware Corp., Memory-Tech Corp., and Ryowa Electronic Corp.), one domestic national university (Toyohashi Univ. Tech.), one overseas company (TuiOptics GmbH, Germany), two overseas universities (Massachusetts Inst. Tech., USA, and Gyeongsang National Univ., Korea.) in§ inf w Hi vji

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[1] ttrtllV : frO'/y-yj- (Sa*a, 1997) [2] x«e@ta : *D^77-f xpi-satUK- ($g»#)sa, 1995 )

[3] B. Kress, P. Meyrueis, Digital Diffractive Optics An Introduction to Planar Diffractive Optics and Related Technology , John Wiley & Sons. [4] Lambertus Hesselink, Ultra-High-Density Data Storage, Communication of the ACM, Vol.43 No.11, 33-36, November 2000.

[5] Sergei S. Orlov, Volume Holographic Data Storage, Communication of the ACM,

Vol.43 No.11, 46-54, November 2000.

[6] H.J.Coufal, D.Psaltis, G.T.Sincerbox, Holographic Data Storage, Optical Sciences,

Springer.

[7] Demetri Psaltis, Fai Mok, Holographic Memories, Scientific American, 70-76,

November 1995. [8] “7^ , Xlz M3-

n, 100-103, 1996 ¥ 5

[9] Myeongkyu Lee, Shunji Takekawa, Yasunori Furukawa, Kenji Kitamura, and Hideki

Hatano, Quasinondestructive Holographic Recording in Photochromic LiNb03 ,

Physical Review Letters, Vol.84 No.5,17-20, January 2000. [10] #±99, “#

#,Vol.8 No.2, 109-112, 1984.

[11] HfflEA : m

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[12] H. Horimai, K. Seo, K. Toyota, and K. Saito, Optical Data Storage 95 , Intern. Soc.

Opt. Engn., vol.2514, 118-128, 1995.

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Sputtering power 30W

Thickness 110 nm

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J. Ill ] l 11 .11

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[1] J. -P. Krumme, H. Heitmann, D. Mateika and K. Witter, J. Appl. Phys., vol.48 (1977)

366. [2] M. V. Lognnov, V. V. Randoshkin, Yu. N. Sazhin, V. P. Klin, B. P. Nam, and A. G.

Solov ’ev, Sov. Phys. Tech. Phys., vol.36 (1991) 493.

[3] W. E. Ross, D. Psaltis, and R. H. Anderson, Opt. Eng., vol.22 (1983) 485.

[4] J. K. Cho, S. Santhanam, T. Le, K. Mountfield, D. N. Lambeth, and D. Stancil, J. Appl.

Phys., vol.76 (1994) 1910. [5] Holographic Data Storage, Eds. H. J. Coufal, D. Psaltis, and G. T. Sincerbox, Springer

(2000) 251.

[6] W. E. Ross, J. P. Karins, T. Maki, J. Lucas, L. G. Kelly, J. Cho, D. N. Lambeth, T. Le, K.

Mountfield, S. Santhanam, D. Stancil, M. Randles, J. Whitlock, and D. Garrity, Proc.

SPIE vol.1959-21 (1993).

[7] S. A. Serati, T. K. Ewing, R. A. Serati, K. M. Johnson, and D. M. Simon, Proc. SPIE

vol.1959 (1993).

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2. J. H. Park, J. K. Cho, M. Inoue and H. Horimai, Numerical Analysis of Faraday rotation and transmittance of one-dimensional magnetophotonic crystals with an active layer of a highly Bi-substituted iron garnet, INTERMAG 2000, Canada, April (2000).

3. J. H. Park, J. K. Cho, and M. Inoue, Magneto-optic spatial light modulator based on magnetophotonic crystal, The 24th Annual Conf. on Magnetics in Japana, September

(2000).

— 165 4. J. H. Park, J. K. Cho, and M. Inoue, Numerical analysis of performance of one-dimensional magnetophotonic crystals as a function of refractive index of dielectric layer, The 8 th Intern. Conf. on Ferrite, Kyoto, September (2000).

5. J. H. Park, D. H. Lee, J. K. Cho, and M. Inoue, Design and fabrication of magneto-optic spatial light modulator , 2001 Korea-Japan Joint Workshop, Korea, June (2001).

6. J. H. Park, D. H. Lee, J. K. Cho, and M. Inoue, LPE-garnet base spatial light modulator, 2001 Intern. Conf. on Solid State Devices and Materials, Japan, September (2001).

7. J. H. Park, D. H. Lee, J. K. Cho, and M. Inoue, Magneto-optical spatial light modulator for volumetric digital recording system, Intern. Symp. on Optical Memory 2001 (ISOM 2001), Taiwan, October (2001).

8. H. Horimai, M. Kinoshita, P. B. Lim and M. Inoue, Volumetric optical disk storage system with the polarization-collinear holography technique, Intern Symp. on Optical Memory 2001 (ISOM 2001), Taiwan, Octorber (2001).

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5. 2. 2 tmfC ]) V' b 1. J. H. Park and J. K. Cho, Design of drive line shape for reflective magneto-optic spatial light modulator with high sensitivity by computer simulation, J. Magn. Soc. Korea, vol.10, No.3 (2000) pp.

2. J. H. Park, J. K. Cho, and M. Inoue, Numerical analysis of magneto-optic performance of one-dimensional magnetophotonic crystal, J. Magn. Soc. Korea, vol.10, No. 3 (2000) pp.

3. J. H. Park, J. K. Cho, M. Inoue and H. Horimai, One-dimensional magnetophotonic crystal spatial light modulator, Technical Report of IEE Jpn., MAG- (2000) pp.

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Final Report Covering the Period May 1,2000 — February 28, 2001

submitted to

Science Create Corp., Japan

by

John D. Joannopoulos F.W. Davis Professor of Physics Massachusetts Institute of Technology Cambridge, MA 02139

A-30 In this report I describe the results of our systematic and comprehensive computational investigation of mangeto-optical materials in photonic crystal configurations. Our effort involved two basic components. The first entailed the development of new computer code to allow theoretical investigation of time-dependent phenomena in 3D photonic crystal systems with materials described by an anisotropic dielectric tensor that is also complex. This is of course crucial in order to model accurately the behavior of magneto-optical materials where both anisotropy and dielectric losses are critical in determining performance characteristics. Along this direction, we concentrated on two separate issues. The first involved enabling bandstructure calculations of a magneto-optical photonic crystal system. Although the losses associated with the dielectric response forbid precise eigenvalue determination, the concept of a bandstructure can still be exploited if one assigns a lifetime to each state. By studying the time evolution of a state created with a particular wavevector-k, one can fourier-transform this data to obtain a spectral decomposition of the important frequencies in the problem.

In Figs. 1 and 2 we illustrate the results of such an analysis. The material chosen consists of YIG spheres arranged in an FCC lattice inside a Si02 host. For simplicity throughout this investigation the spheres are chosen to be touching. (Further work involving spheres of smaller radius / lattice-constant would be of importance for future work.) The dielectric tensor chosen for these results corresponds to a working wavelength of 532 nm. Figure 1 corresponds to spectra associated with different wavevectors going from X: (100) to F: (000). Figure 2 corresponds to F: (000) to L: (111). The peaks and widths of the spectra give the frequencies and lifetimes of the photon modes, respectively. In Figs. 3 and 4 we illustrate the corresponding results for an operational wavelength of 650 nm. The results, although quite similar, have subtle differences. The combined spectral results from 532 nm and 650 nm leading to their respective bandstructures are shown in Figs. 5 and 6. The main differences are in the vicinity of F with the 532 run system containing more modes/unit frequency. Because of this, we decided to focus only on 532 nm in what follows.

The second computational issue involved enabling transmission, reflection, absorption and Faraday angle calculations of light incident through a finite slab of magneto-optical photonic crystal material. In this regard, our approach was to send in a pulse at normal incidence centered about a frequency of interest and measure the transmitted and reflected electromagnetic fields. In Figs. 7 and 8 we illustrate the nature of these fields as a function of time. Our simulations were run over 10,000 time steps and as seen in Fig. 7, this is more than adequate. The light is chosen polarized along the y direction and maintains this polarization for the most part (see enlargement in Fig. 8). The presence of an x-component to the field is a direct consequence of the anisotropic dielectric tensor nature of the material. The fourier transformed fields can then be used to generate transmission, reflection, absorption and Faraday angle spectra.

Thus the second basic component of our research effort involved the systematic study of transmission, reflection, absorption and Faraday angle rotation for slabs of different thicknesses arranged along the (111) or (100) directions. Let us begin our analysis with slabs oriented along the (111) direction. Figures 9 and 10 show, respectively, the incident intensity and transmitted intensity for four layers of YIG spheres in a Si02 host. We note that the transmission is high and contains quite a bit of structure. In Figs. 11 and 12 we include the corresponding reflectivity and absorption

A-31 spectra. Of particular interest is the absorption that is very weak for frequencies below 0.7 but rises dramatically after that. The corresponding Faraday angle of rotation is shown in Fig. 13. It clearly tracks the absorption, but the presence of 3D photonic crystal periodicity provides an extra and important degree of variability. In Figs. 14 and 15 we show similar results for the frequency range 0.6 to 1.2. It should be noted that results for frequencies above 1.0 need to be treated differently because of the Bragg diffraction component. Nevertheless, these results again show how the photonic crystal can add interesting variability in the comparison of transmission and Faraday angle. In Figs. 16 and 17 we show transmission and Faraday angle results for an eight-layer slab. Of particular importance is that the transmission still remains high. The Faraday angle, on the other hand, has nearly doubled in size. This trend continues as is clear from Figs. 18 through 22, which correspond to a 16-layer slab. A compilation and comparison of the different results is presented in Figs. 23 and 24. The important conclusion from these results is that the fractional reduction in transmission is much smaller than the fractional increase in Faraday angle rotation as the slabs increase in size. Moreover, the photonic crystal periodicity adds considerable variability that could be exploited in tuning the system for optimal performance.

Our results for slabs consisting of photonic crystal material oriented along the (100) direction are shown in Figs. 25 to 42. In these analyses we also consider two variations, YIG spheres in Si02, and YIG spheres in air (or equivalently low dielectric material, such as polymers, etc.). This is important in order to determine the effects of index contrast and photonic crystal gap properties on transmission and Faraday angle rotation. We begin by considering YIG spheres embedded in Si02. In Figs. 25 and 26 we illustrate the results associated with a three-layer slab. The Faraday angle spectrum of Fig. 26 is comparable to that of Fig. 13. In Figs. 27 through 29 we present results for an eight-layer slab. A close comparison between these results and those of Figs. 16 and 17 reveal that the (100) direction leads to better performance. This is also confirmed by comparing the results of Figs. 30 to 32, corresponding to a 16-layer slab, with those of Figs. 18 through 22.

Finally, we consider the effects of increasing the dielectric contrast by embedding the YIG spheres in air (effectively a low dielectric material with epsilon ~ 1.3 or so). As we shall see, this leads to the formation of a photonic bandgap along the (100) direction and to overall enhanced performance. In Figs. 33 and 34 we show the results for transmission and Faraday angle rotation for three layers of spheres. The improvement in Faraday angle rotation is considerable as compared with Fig. 26. Moreover, we note an indication of the appearance of a photonic bandgap around a frequency of 0.6. The results for five layers are shown in Figs. 35 and 36. The results for eight layers are shown in Figs. 37 through 39. Again the Faraday angle is considerably enhanced compared to Fig. 29 and the gap is clearly more pronounced. When we go to 16 layers, as shown in Figs. 40 to 42, the gap is now absolutely clear and again the Faraday angle rotation is generally much higher than in Fig. 32, especially near the bangap edges.

In conclusion, then, we can make the following very important observations. We find that in all the analyses, the rate of fractional increase in Faraday angle rotation far exceeds the rate of fractional reduction in transmission. This of course is a very favorable result for performance characteristics. We also find that the presence of a photonic crystal is indeed crucial in providing optimal performance. It is very important to emphasize that the amount of YIG spheres in the Si02- and air-slab

A-32 configurations were identical! Yet the Faraday angle rotation differed typically by a factor of two without a corresponding loss in transmission! This is an extremely critical and promising new discovery, because it clearly demonstrates the critical importance of exploiting photonic crystal systems in future designs of optimal magneto-optical devices. The performance of a magneto-optic material is not simply determined by the amount of magneto-optic material used or by the amount of losses incurred.

A-33 5" 3 T- 'V ■

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1 2 3

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A-34 Field Amplitude Spectra verej)frequency for the *k k-pointsfrom X to Gamma. The re*ult* are obtained by studying the time-evolution of the field In FDTD calculation* The peak* give the value* of the band*

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