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In the framework of the generalized Lorenz-Mie theory (GLMT), the scattering of arbitrarily incident shaped beam by dielectric bi-sphere is investigated. By expressing the incident beam with arbitrary incidence angle in terms of the spherical vector wave function, we derive the scattering equations of bi-sphere arbitrarily illuminated by a single beam, and then extend to the case of scattering of dual-beam. As an example, numerical computations for the scattered intensities of bi-sphere randomly irradiated by a single Gaussian beam and by two Gaussian beams are presented respectively after numerical verifications. In particular, the scattering properties for the two cases are compared and discussed theoretically in detail with respect to different parameters such as incident angle, center-center separation, etc.
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Keywords:
- generalized beam-shape coefficient /
- bi-sphere /
- Gaussian beam
[1] ［1］Gouesbet G, Maheu B, Gréhan G 1988 J. Opt. Soc. Am. A 5 1427
[2] ［2］Onofri F, Gréhan G, Gouesbet G 1995 Appl. Opt. 34 7113
[3] ［3］Barton J P, Alexander D R, Schaub S A 1988 J. Appl. Phys. 66 1632
[4] ［4］Wu Z S, Guo L X, Wu C M 1998 Acta Opt. Sin. 18 682 (in Chinese) ［吴振森、 郭立新、 吴成明 1998 光学学报 18 682］
[5] ［5］Barton J P, Alexander D R, Schaub S A 1988 J. Appl. Phys. 64 15
[6] ［6］Elsayed E M K, Steven C H, Peter W B 1994 Appl. Opt. 33 3308
[7] ［7］Li H Y, Wu Z S 2008 Acta Phys. Sin. 57 833 (in Chinese) ［李海英、 吴振森 2008 物理学报 57 833］
[8] ［8］Liang C, Lo Y T 1967 Radio Sci. 2 1481
[9] ［9］Bruning J H, Lo Y T 1971 IEEE Trans. Anten. Propag. 19 378
[10] ］Fuller K A, Kattawar G W, Wang R T 1986 Appl. Opt. 25 2521
[11] ］Fuller K A 1991 Appl. Opt. 30 4716
[12] ］Mishchenko M I, Mackowski D W 1994 Opt. Lett.19 1604
[13] ］Mishchenko M I, Mackowski D W, Travis L D 1995 Appl. Opt. 34 4589
[14] ］Mishchenko M I 1996 Opt. Lett. 21 623
[15] ］Flatau P J, Fuller K A, Mackowski D W 1993 Appl. Opt. 32 3302
[16] ］Videen G, Ngo D, Hart M B 1996 Opt. Commun. 125 275
[17] ］Bai L, Wu Z S, Chen H, Guo L X 2005 Acta Phys. Sin. 54 2025 (in Chinese) ［白璐、 吴振森、 陈辉、 郭立新 2005 物理学报 54 2025］
[18] ］Liu L S, Ke H Y, Wu Z S, Bai L 2008 Front. Electr. Electron. Engng. Chin. 3 70
[19] ］Han Y P, Zhang H Y, Han G X 2007 Opt. Express 15 735
[20] ］Zhang H Y, Han Y P, Han G X 2007 J. Opt. Soc. Am. B 24 1383
[21] ］Han G X, Han Y P 2008 J. Opt. Soc. Am. B 25 93374
[22] ］Han G X, Han Y P 2009 Acta Phys. Sin. 58 6167 (in Chinese) ［韩国霞、 韩一平 2009 物理学报 58 6167］
[23] ］Edmonds A R 1957 Angular Momentum in Quantum Mechanics (Chap 4) (Princeton: Princeton University Press)
[24] ］Doicu A, Wriedt T 1997 Appl. Opt. 36 2971
[25] ］Tsang L, Kong J A, Shin R T 1985 Theory of Microwave Remote Sensing (New York: John Wiley & Sons)
[26] ］Han Y P, Du Y G, Zhang H Y 2006 Acta Phys. Sin. 55 4557 (in Chinese) ［韩一平、 杜云刚、 张华永 2006 物理学报 55 4557］
[27] ］Stein S Q 1961 Appl. Math. 19 15
[28] ］Cruzan O R Q 1962 Appl. Math. 20 33
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[1] ［1］Gouesbet G, Maheu B, Gréhan G 1988 J. Opt. Soc. Am. A 5 1427
[2] ［2］Onofri F, Gréhan G, Gouesbet G 1995 Appl. Opt. 34 7113
[3] ［3］Barton J P, Alexander D R, Schaub S A 1988 J. Appl. Phys. 66 1632
[4] ［4］Wu Z S, Guo L X, Wu C M 1998 Acta Opt. Sin. 18 682 (in Chinese) ［吴振森、 郭立新、 吴成明 1998 光学学报 18 682］
[5] ［5］Barton J P, Alexander D R, Schaub S A 1988 J. Appl. Phys. 64 15
[6] ［6］Elsayed E M K, Steven C H, Peter W B 1994 Appl. Opt. 33 3308
[7] ［7］Li H Y, Wu Z S 2008 Acta Phys. Sin. 57 833 (in Chinese) ［李海英、 吴振森 2008 物理学报 57 833］
[8] ［8］Liang C, Lo Y T 1967 Radio Sci. 2 1481
[9] ［9］Bruning J H, Lo Y T 1971 IEEE Trans. Anten. Propag. 19 378
[10] ］Fuller K A, Kattawar G W, Wang R T 1986 Appl. Opt. 25 2521
[11] ］Fuller K A 1991 Appl. Opt. 30 4716
[12] ］Mishchenko M I, Mackowski D W 1994 Opt. Lett.19 1604
[13] ］Mishchenko M I, Mackowski D W, Travis L D 1995 Appl. Opt. 34 4589
[14] ］Mishchenko M I 1996 Opt. Lett. 21 623
[15] ］Flatau P J, Fuller K A, Mackowski D W 1993 Appl. Opt. 32 3302
[16] ］Videen G, Ngo D, Hart M B 1996 Opt. Commun. 125 275
[17] ］Bai L, Wu Z S, Chen H, Guo L X 2005 Acta Phys. Sin. 54 2025 (in Chinese) ［白璐、 吴振森、 陈辉、 郭立新 2005 物理学报 54 2025］
[18] ］Liu L S, Ke H Y, Wu Z S, Bai L 2008 Front. Electr. Electron. Engng. Chin. 3 70
[19] ］Han Y P, Zhang H Y, Han G X 2007 Opt. Express 15 735
[20] ］Zhang H Y, Han Y P, Han G X 2007 J. Opt. Soc. Am. B 24 1383
[21] ］Han G X, Han Y P 2008 J. Opt. Soc. Am. B 25 93374
[22] ］Han G X, Han Y P 2009 Acta Phys. Sin. 58 6167 (in Chinese) ［韩国霞、 韩一平 2009 物理学报 58 6167］
[23] ］Edmonds A R 1957 Angular Momentum in Quantum Mechanics (Chap 4) (Princeton: Princeton University Press)
[24] ］Doicu A, Wriedt T 1997 Appl. Opt. 36 2971
[25] ］Tsang L, Kong J A, Shin R T 1985 Theory of Microwave Remote Sensing (New York: John Wiley & Sons)
[26] ］Han Y P, Du Y G, Zhang H Y 2006 Acta Phys. Sin. 55 4557 (in Chinese) ［韩一平、 杜云刚、 张华永 2006 物理学报 55 4557］
[27] ］Stein S Q 1961 Appl. Math. 19 15
[28] ］Cruzan O R Q 1962 Appl. Math. 20 33
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