本研究將波導與表面增強拉曼散射結合，利用於離子交換波導表面之週期性金屬結構使拉曼散射具有空間指向性。藉由透鏡後孔徑成像之實驗分別以綠光與紅光雷射為操作波長得到之出射角度分別為19度及7.3度，利用相位匹配之理論估計以直徑500奈米之聚苯乙烯小球製作之週期性銀結構與鈉-鉀離子交換波導之模態耦合之出射角度，與實驗之結果比較發現有一定程度的吻合。然而，因週期性結構之製程不夠完善的緣故，例如：晶格之排列、錯位與點缺陷，使得實驗與理論的結果不匹配。然而，目前得到的結果證明利用此結構能量測具空間解析之指向性拉曼散射，若能改善週期性結構之組裝結果，便能不使用光譜儀就得到空間解析拉曼散射。

In this study, self-assembled periodic particle array(PPA) was investigated on ion-exchanged waveguide which enables surface enhance Raman scattering with directivity. Through back pupil plane imaging experiments, the output angles for red(=632.8nm) and green(=532nm) light are measured to be 7.3o and 19o, corresponding to 0.135o/nm. This result is in close agreement with that obtained by the grating phase matching theory for the PPA atop ion-exchange waveguide. However, weak controlling ability in the fabrication of the PPA led to imperfections such as different lattice orientations, dislocations and point defects which all contribute to the discrepancy between the experimental and theoretical result. Nevertheless, the current results have promised the capability to spatially resolve the Raman scattered light without using a bulky spectrometer with improved quality of the PPA.

[1] C.V. Raman and K.S. Krishnan, ”A new type of radiation”. Nature121 p.501-502,1928.
[2] M. Fleischman, P.J. Hendra and A.J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode“. Chem.Phys. Lett. 26, p.163-166, 1974.
[3] D. L. Jeanmaire and R. P. Van Duyne, “Surface raman spectroelectrochemistry: Part I. Heterocyclic, aromatic, and aliphatic amines adsorbed on the anodized silver electrode “. J. Electroanal. Chem. 84, p.1, 1977.
[4] M.G. Albrecht and J.A. Creghton , “Anomalously intense Raman spectra of pyridine at a silver electrode” . J. Am. Chem. Soc. 99(15),p. 5215-5217, 1977.
[5] P. Hildebrandt and M. Stockburger, “Surface-Enhanced Resonance Raman Spectroscopy of Rhodamine 6G Adsorbed on Colloidal Silver“. J. Phys. Chem.88, p.5935, 1984.
[6] J.T. Golab and R.P. Van Duyne “A surface enhanced hyper‐Raman scattering study of pyridine adsorbed onto silver: Experiment and theory“. J. Chem. Phys 88, 7942-7951, 1988.
[7] K. Kneipp, Y. Wang, H. Kneipp, L.T. Perelman, I. Itzkan, R.R. Dasari, and M.S. Feld, “Single Molecule Detection Using Surface-Enhanced Raman Scattering (SERS) “. Phys. Rev. Lett. 78, p.1667, 1997.
[8] S. Nie and S. R. Emory, “Probing single molecules and single nanoparticles by surface-enhanced Raman scattering“. Sci. 275, p.1102, 1997.
[9] Y. Zhao, I. Avrutsky, and B. Li, “Optical coupling between monocrystalline colloidal crystals and a planar waveguide”. Appl. Phys. Lett. 75, p3596-3598 ,1999
[10] Ivan Avrutsky, Vladimir Kochergin, and Yang Zhao, Member,” Optical Demultiplexing in a Planar Waveguide with Colloidal Crystal”. IEEE photonics technology letters, vol.12,no.12, p1647-1649,2000
[11] Y. Zhao and I. Avrutsky, “Two-dimensional colloidal crystal corrugated waveguide”. Opt. Lett., vol. 24, p 817–819, 1999.
[12] Yizhuo Chu, Wenqi Zhu, Dongxing Wang and Kenneth B. Crozier,” Beamed Raman: directional excitation and emission enhancement in a plasmonic crystal double resonance SERS substrate”. optics express, Vol. 19, No. 21,p20054-20068,2011
[13] Timur Shegai, Bjorn Brian, Vladimir D. Miljkovic, and Mikael Kall,” Angular Distribution of SurfaceEnhanced Raman Scattering from Individual Au Nanoparticle Aggregates”. ACS nano, vol.5, no. 3 ,p2036–2041 ,2011
[14] William Streifer, Donald R. Scifres and Robert D. Burnham, “Coupled Wave Analysis of DFB and DBR Lasers”. IEEE J. Quantum elec. Vol.QE13, NO.4,1977.
[15] Drude and Paul, “Zur Elektronentheorie der metalle“. Annalen der Physik. 306, p.566, 1900.
[16] P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals” . Phys. Rev. B 6, p.4370, 1972.
[17] R.W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum“. Phil. Mag. 4, p.396, 1902.
[18] U.Fano,”The theory of anomalous diraction gratings and of quasistationary waves on metallic surfaces”. J. Opt. Soc. Am. 31, p.213, 1941.
[19] Hessel, and A. A. Oliner, “ A New Theory of Wood’s Anomalies on Optical Gratings” .Appl. Opt., 4, 1275, 1965.
[20] R. H. Ritchie, '' Plasma losses by fast electrons in thin films''. Phys. Rev. 106, p.874, 1957.
[21] Otto, ''Excitation of nonradiative surface plasma waves in silver by method of frustrated total reection ''. Z. Phys. 216, p.398, 1968.
[22] E. Kretschm and H. Raether, “Radiative decay of non radiative surface plasmons excited by light“. Z. Naturf. 23A, p.2135, 1968.
[23] C. Nylander, B. Liedberg, and T. Lind, “Gas Detection by Means of SurfacePlasmon Resonance”. Sens. and Actuators, 3,79,1982.
[24] Clifford R. Pollock and Michal Lipson,Integrated photonic. Boston/Dordrecht/London, Springer, 2003,Chapter6.
[25] G. L. Yip and J. Albert, “Characterization of planar optical waveguides by K+-ion exchange in glass”. , Optics Letters, Vol. 10, No. 3 ,p151-153,1985.
[26] Stefano palomba, Hayk harutyunyan and Lukas novotny, “Nonlinear plasmonics at planar metal surfaces”. Phil. Trans. R. Soc. A 369, 3497 ,2011.
[27] N. Denkov, et al., “Mechanism of formation of two-dimensional crystals from latex particles on substrates”, Langmuir. 8(12), p. 3183-3190, 1992
[28] Peter A. Kralchevskyand Nikolai D. Denkov, “Capillary forces and structuring in layers of colloid particles”. Current Opinionin Colloid & Interface Science 6,p383-401,2001.
[29] R. Micheletto, H. Fukuda and M. Ohtsut, “A simple method for the production of a two-dimensional, ordered array of small latex particles”. Langmuir, Vol. 11, No. 9,p3333-3336, 1995
[30] Traci R. Jensen, Michelle Duval Malinsky, Christy L. Haynes, and Richard P. Van Duyne, “Nanosphere lithography: Tunable localized surface plasmon resonance spectra of silver nanoparticles”. J. Phys. Chem. B, 104, 10549-10556,2000
[31] Martin N.Weiss and Ramakant Srivastava, “Determination of ion exchanged channel waveguide profile parameters by mode-index measurements”. Applied optics Vol. 34, No. 3,1995