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A new approach to designing planar, high numerical aperture, low loss, focusing reflectors using circular subwavelength high contrast gratings is presented. Through analyzing particular physical scene, a mathematical transformation from existing “focus line” convergent beam, which can be achieved by bar grating reflector, to the convergent beam with a “focus point”, is obtained. By changing the shape of the bar grating reflector with the mathematical transformation obtained, a circular grating reflector, which can achieve “focus point” convergent beam, is obtained. The focusing properties and reflection characteristic of the circular grating reflector are numerically studied with the finite element method. After the radially polarized light reflected from circular grating reflector with a diameter of 29.788 μm, the beam will focus at 10 μm away from the reflector, resulting in a numerical aperture of 0.8302 and a reflectivity of 0.9163. In the focal plane, the numerical simulation results present a field distribution with a full width half maximum value of 1.5548μm, which is extremely close to diffraction limit.
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Keywords:
- high contrast gratings /
- circular gratings /
- focus reflector
[1] Karagodsky V, Sedgwick F G, Chang-Hasnain C J 2010 Opt. Express 18 16973
[2] Chase C, Rao Y, Hofmann W, Chang-Hasnain C J 2010 Opt. Express 18 15461
[3] Karagodsky V, Chang-Hasnain C J 2012 Opt. Express 20 10888
[4] Li S, Guan B L, Shi G Z, Guo X 2012 Acta Phys. Sin. 61 184208 (in Chinese) [李硕, 关宝璐, 史国柱, 郭霞 2012 61 184208]
[5] Luo Q, Huang L H, Gu N T, Rao C H 2012 Chin. Phys. B 21 094201
[6] Wang Z L, Gao K, Chen J, Ge X, Zhu P P, Tian Y C, Wu Z Y 2012 Chin. Phys. B 21 118703
[7] Zhao H J, Peng Y J, Tan J, Liao C R, Li P, Ren X X 2009 Chin. Phys. B 18 5326
[8] Zheng G G, Wu Y G, Xu L H 2013 Chin. Phys. B 22 104212
[9] Rastani K, Marrakchi A, Habiby S F, Hubbard W M, Gilchrist H, Nahory R E 1991 Appl. Opt. 30 1347
[10] Fujita T, Nishihara H, Koyama J 1982 Opt. Lett. 7 578
[11] Shiono T, Kitagawa M, Setsune K, Mitsuyu T 1989 Appl. Opt. 28 3434
[12] Chang-Hasnain C J, Yang W J 2012 Adv. Opt. Photon. 4 379
[13] Lu F, Sedgwick F G, Karagodsky V, Chase C, Chang-Hasnain C J 2010 Opt. Express 18 12606
[14] Zhou Y, Huang M C Y, Chang-Hasnain C J 2008 IEEE Photon. Technol. Lett. 20 434
[15] Fattal D, Peng Z, Tran T, Vo S, Fiorentino M, Brug J, Beausoleil R G 2013 Nature 495 348
[16] Katsidis C C, Siapkas D I 2002 Appl. Opt. 41 3978
[17] Zhan Q W, Leger J R 2002 Opt. Express 10 324
[18] Carletti L, Malureanu R, Mrk J, Chung I S 2011 Opt. Express 19 23567
[19] Fattal D, Li J J, Peng Z 2010 Nat. Photon. 4 466
[20] Moharam M G, Gaylord T K 1981 J. Opt. Soc. Am. 71 811
[21] Wen Z X 2010 Analytic Geometry and Linear Algebra (Beijing: Science Press) pp22-55 (in Chinese) [文志雄 2010 解析几何与线性代数 (北京: 科学出版社) 第22–55页]
[22] Vanbrabant P J M, Beeckman J, Neyts K, James R, Fernandez F A 2009 Opt. Express 17 10895
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[1] Karagodsky V, Sedgwick F G, Chang-Hasnain C J 2010 Opt. Express 18 16973
[2] Chase C, Rao Y, Hofmann W, Chang-Hasnain C J 2010 Opt. Express 18 15461
[3] Karagodsky V, Chang-Hasnain C J 2012 Opt. Express 20 10888
[4] Li S, Guan B L, Shi G Z, Guo X 2012 Acta Phys. Sin. 61 184208 (in Chinese) [李硕, 关宝璐, 史国柱, 郭霞 2012 61 184208]
[5] Luo Q, Huang L H, Gu N T, Rao C H 2012 Chin. Phys. B 21 094201
[6] Wang Z L, Gao K, Chen J, Ge X, Zhu P P, Tian Y C, Wu Z Y 2012 Chin. Phys. B 21 118703
[7] Zhao H J, Peng Y J, Tan J, Liao C R, Li P, Ren X X 2009 Chin. Phys. B 18 5326
[8] Zheng G G, Wu Y G, Xu L H 2013 Chin. Phys. B 22 104212
[9] Rastani K, Marrakchi A, Habiby S F, Hubbard W M, Gilchrist H, Nahory R E 1991 Appl. Opt. 30 1347
[10] Fujita T, Nishihara H, Koyama J 1982 Opt. Lett. 7 578
[11] Shiono T, Kitagawa M, Setsune K, Mitsuyu T 1989 Appl. Opt. 28 3434
[12] Chang-Hasnain C J, Yang W J 2012 Adv. Opt. Photon. 4 379
[13] Lu F, Sedgwick F G, Karagodsky V, Chase C, Chang-Hasnain C J 2010 Opt. Express 18 12606
[14] Zhou Y, Huang M C Y, Chang-Hasnain C J 2008 IEEE Photon. Technol. Lett. 20 434
[15] Fattal D, Peng Z, Tran T, Vo S, Fiorentino M, Brug J, Beausoleil R G 2013 Nature 495 348
[16] Katsidis C C, Siapkas D I 2002 Appl. Opt. 41 3978
[17] Zhan Q W, Leger J R 2002 Opt. Express 10 324
[18] Carletti L, Malureanu R, Mrk J, Chung I S 2011 Opt. Express 19 23567
[19] Fattal D, Li J J, Peng Z 2010 Nat. Photon. 4 466
[20] Moharam M G, Gaylord T K 1981 J. Opt. Soc. Am. 71 811
[21] Wen Z X 2010 Analytic Geometry and Linear Algebra (Beijing: Science Press) pp22-55 (in Chinese) [文志雄 2010 解析几何与线性代数 (北京: 科学出版社) 第22–55页]
[22] Vanbrabant P J M, Beeckman J, Neyts K, James R, Fernandez F A 2009 Opt. Express 17 10895
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