Abstract
Absorption of light by single by crystalline silicon spherical particle and 2D and 3D layers from such particles is theoretically investigated in the wavelength range from 0.28 to 1.12 μm. The range of particle diameters from 0.05 to 1000 μm is covered. Absorption coefficient of monolayer of small- and wavelength-sized particles is calculated in the quasicrystalline approximation of the theory of multiple scattering of waves. For monolayer of large particles, the single scattering approximation is used. Absorption by multilayer is examined under the transfer matrix method. The spectral and integral over the sun spectrum absorption coefficients are studied. The results are compared with the data for homogeneous plane-parallel silicon plates of the equivalent volume of material (equivalent plates). The monolayer and multilayer consisting of silicon particles with sizes significantly smaller than the wavelength absorb lesser than the equivalent silicon plates. The absorption coefficient of the monolayer of large particles is smaller than the one of equivalent plate. Absorption by three- and more monolayer systems of such particles is larger than the one of the equivalent plates. Absorption by monolayer of wavelength-sized particles can be significantly larger than the one of the equivalent plate. It is caused by strong resonance scattering by individual silicon particles and strong multiple scattering in particle arrays. The narrow wavelength intervals (up to 10 nm) of the resonance peak spectral absorption coefficient of monolayer can be more than 100 times larger than the one of the equivalent plate. In the wavelength range from 0.8 μm to 1.12 μm, integral absorption coefficient of monolayer can be more than 20 times higher than the one of the plate. Enhancement of light absorption due to tuning of the multilayer parameters is considered. The sketch of the solar cell based on gradient particulate structure of active layer is presented.
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References
A. Luque, S. Hegedus (eds.), Handbook of Photovoltaic Science and Engineering, 2nd edn. (Wiley, Chichester, 2011)
S.M. Sze, K.K. Ng, Physics of Semiconductor Devices, 3rd edn. (Wiley Interscience, Hoboken, 2007)
S. Domínguez, O. García, M. Ezquer, M.J. Rodríguez, A.R. Lagunas, J. Pérez-Conde, J. Bravo, Photonics Nanostruct. Fundam. Appl. 10, 46–53 (2012). https://doi.org/10.1016/j.photonics.2011.07.001
M.A. Tsai, P.C. Tseng, H.C. Chen, H.-C. Kuo, P. Yu, Opt. Express 19, A28–A34 (2011). https://doi.org/10.1364/OE.19.000A28
X. Sheng, S.G. Johnson, J. Michel, L.C. Kimerling, Opt. Express 19, A841–A850 (2011). https://doi.org/10.1364/OE.19.00A841
G. Kocher-Oberlehner, M. Bardosova, M. Pemble, B.S. Richards, Sol. Energy Mater. Sol. Cells 104, 53–57 (2012). https://doi.org/10.1016/j.solmat.2012.04.018
C.S. Schuster, S. Moraviec, M.J. Mendes, M. Patrini, E.R. Martins, L. Lewis, I. Crupi, T.F. Krauss, Optica 2, 194–200 (2015). https://doi.org/10.1364/OPTICA.2.000194
Z.R. Abrams, A. Niv, X. Zhang, J. Appl. Phys. 109, 114905-1–114905-9 (2011). https://doi.org/10.1063/1.3592297
A. Deinega, I. Valuev, B. Potapkin, Y. Lozovik, J. Opt. Soc. Am. A 28, 770–777 (2011). https://doi.org/10.1364/JOSAA.28.000770
R.B. Wehrspohn, J. Üpping, 3D photonic crystals for photon management in solar cells. Paper presented at conference frontiers in optics 2012: Laser Science XXVIII, Rochester, New York, United States, 14–18 October 2012. OSA Technical Digest (online) (Optical Society of America, 2012), paper LTh3G.5. (2012). https://doi.org/10.1364/LS.2012.LTh3G.5
L. Ji, V.V. Varadan, J. Appl. Phys. 110, 043114-1–043114-8 (2011). https://doi.org/10.1063/1.3626827
V.F. Gremenok, M.S. Tivanov, V.B. Zalesski, Solnechnye elementy na osnove poluprovodnikovykh materialov (Solar Cells Based on Semiconductor Materials). (BSU, Minsk, 2007) (in Russian)
L. Tsakalakos, Mater. Sci. Eng. R. Rep. 62, 175–189 (2008). https://doi.org/10.1016/j.mser.2008.06.002
B.M. Kayes, H.A. Atwater, N.S. Lewis, J. Appl. Phys. Ther. 97, 114302–114312 (2005). https://doi.org/10.1063/1.1901835
K. Vynck, M. Burresi, F. Riboli, D.S. Wiersma, Nat. Mater. 11, 1017–1022 (2012). https://doi.org/10.1038/nmat3442
M. Saritas, H.D. McKell, Solid State Electron. 31, 835–842 (1988). https://doi.org/10.1016/0038-1101(88)90036-6
J. Toušek, S. Dolhov, J. Toušková, Sol. Energy Mater. Sol. Cells 76, 205–210 (2003). https://doi.org/10.1016/S0927-0248(02)00371-9
A.K. Sharma, S.N. Singh, N.S. Bisht, Z.H. Khan, Sol. Energy Mater. Sol. Cells 100, 48–52 (2012). https://doi.org/10.1016/j.solmat.2011.04.027
A.A. Miskevich, V.A. Loiko, J. Quant. Spectr. Rad. Transf. 146, 355–364 (2014). https://doi.org/10.1016/j.jqsrt.2013.12.008i
A.A. Miskevich, V.A. Loiko, J. Quant. Spectr. Rad. Transf. 167, 23–39 (2015). https://doi.org/10.1016/j.jqsrt.2015.08.003
L. Shi, T.U. Tuzer, R. Fenollosa, F. Meseguer, Adv. Mater. 24, 5934–5938 (2012). https://doi.org/10.1002/adma.201201987
L. Shi, J.T. Harris, R. Fenollosa, I. Rodriguez, X. Lu, B.A. Korgel, F. Meseguer, Nat. Commun. 4, 1904 (2013). https://doi.org/10.1038/ncomms2934
I. Staude, A.E. Miroshnichenko, M. Decker, N.T. Fofang, S. Liu, E. Gonzales, J. Dominguez, T.S. Luk, D.N. Neshev, I. Brener, Y. Kivshar, ACS Nano 7, 7824–7832 (2013). https://doi.org/10.1021/nn402736f
A. Bapat, C. Anderson, C.R. Perrey, C.B. Carter, S.A. Campbell, U. Kortshagen, Plasma Phys. Controlled Fusion 46, B97–B109 (2004). https://doi.org/10.1088/0741-3335/46/12B/009
S. Barcikowski, A. Hahn, A. Kabashin, B.N. Chichkov, Appl. Phys. A Mater. Sci. Process. 87, 47–55 (2007). https://doi.org/10.1007/s00339-006-3852-1
C.Q. Li, C.-Y. Zhang, Z.-S. Huang, X.-F. Li, Q.-F. Dai, S. Lan, S.-L. Tie, J. Phys. Chem. C 117, 24625–24631 (2013). https://doi.org/10.1021/jp408865p
A. Vladimirov, S. Korovin, A. Surkov, E. Kelm, V. Pustovoy, Laser Phys. 21, 830–835 (2011). https://doi.org/10.1134/S1054660X11080032
U. Zywietz, C. Reinhardt, A.B. Evlyukhin, T. Birr, B.N. Chichkov, Appl. Phys. A Mater. Sci. Process. 114, 45–50 (2014). https://doi.org/10.1007/s00339-013-8007-6
U. Zywietz, A.B. Evlyukhin, C. Reinhardt, B.N. Chichkov, Nat. Commun. 5., Article no. 3402, 1–7 (2014). https://doi.org/10.1038/ncomms4402
G. Mie, Ann. Phys. 25, 377–445 (1908). https://doi.org/10.1002/andp.19083300302
H.C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981)
G.J. Rosasco, H.S. Bennett, J. Opt. Soc. Am. 68, 1242–1250 (1978). https://doi.org/10.1364/JOSA.68.001242
P.R. Conwell, P.W. Barber, C.K. Rushforth, J. Opt. Soc. Am. A 1, 62–67 (1984). https://doi.org/10.1364/JOSAA.1.000062
C.S. Zender, J. Talamantes, J. Quant. Spectrosc. Radiat. Transfer 98, 122–129 (2006). https://doi.org/10.1016/j.jqsrt.2005.05.084
A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk’yanchuk, B.N. Chichkov, Phys. Rev. B 82, 045404-1–04540412 (2010). https://doi.org/10.1103/PhysRevB.82.045404
R. Bachelard, P.W. Courteille, R. Kaiser, N. Piovella, Eplasty 97, 14004-p1–14004-p6 (2012). https://doi.org/10.1209/0295-5075/97/14004
Z.Y. Wang, R.J. Zhang, S.Y. Wang, M. Lu, X. Chen, Y.X. Zheng, L.Y. Chen, Z. Ye, C.Z. Wang, K.M. Ho, Sci. Rep. 5, 7810-1–7810-6 (2015). https://doi.org/10.1038/srep07810
V.A. Loiko, V.P. Dick, V.I. Molochko, J. Opt. Soc. Am. A 15, 2351–2354 (1998). https://doi.org/10.1364/JOSAA.15.002351
V.A. Babenko, L.G. Astafyeva, V.N. Kuzmin, Electromagnetic Scattering in Disperse Media (Praxis Publishing, Chichester, 2003)
V.A. Loiko, A.A. Miskevich, Appl. Opt. 44, 3759–3768 (2005). https://doi.org/10.1364/AO.44.003759
M. Lax, Rev. Mod. Phys. 23, 287–310 (1951). https://doi.org/10.1103/RevModPhys.23.287
M. Lax, Phys. Rev. 85, 621–629 (1952). https://doi.org/10.1103/PhysRev.85.621
K.M. Hong, J. Opt. Soc. Am. 70, 821–826 (1980). https://doi.org/10.1364/JOSA.70.000821
C.C. Katsidis, D.I. Siapkas, Appl. Opt. 41, 3978–3987 (2002). https://doi.org/10.1364/AO.41.003978
E. Centurioni, Appl. Opt. 44, 7532–7539 (2005). https://doi.org/10.1364/AO.44.007532
M.C. Troparevsky, A.S. Sabau, A.R. Lupini, Z. Zhang, Opt. Express 18, 24715–24721 (2010). https://doi.org/10.1364/OE.18.024715
Reference Solar Spectral Irradiance: Air Mass 1.5 (American Society for Testing and Materials (ASTM) Terrestrial Reference Spectra for Photovoltaic Performance Evaluation), http://rredc.nrel.gov/solar/spectra/am1.5/ASTMG173/ASTMG173.html. Accessed 10 Oct 2016
E. D. Palik (ed.), Handbook of Optical Constants of Solids (Academic, San Diego, 1985)
C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983)
M. I. Mishchenko, J. W. Hovenir, L. D. Travis (eds.), Light Scattering by Nonspherical Particles (Academic Press, San Diego, 2000)
M.I. Mishchenko, L.D. Travis, A.A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (University Press, Cambridge, 2002)
Y.H. Fu, A.I. Kuznetsov, A.E. Miroshnichenko, Y.F. Yu, B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013). https://doi.org/10.1038/ncomms2538
S. Person, M. Jain, Z. Lapin, J.J. Sáenz, G. Wicks, L. Novotny, Nano Lett. 13, 1806–1809 (2013). https://doi.org/10.1021/nl4005018
J.M. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L.S. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J.J. Sáenz, F. Moreno, Nat. Commun. 3, 1–8 (2012). https://doi.org/10.1038/ncomms2167
M. Kerker, D.-S. Wang, C.L. Giles, J. Opt. Soc. Am 73, 765–767 (1983). https://doi.org/10.1364/JOSA.73.000765
A.A. Kokhanovsky, Light Scattering Media Optics. Problems and Solutions, 3rd edn. (Springer, Berlin, 2004)
A. Doicu, T. Wried, Y.A. Eremin, Light Scattering by Systems of Particles (Springer, Berlin, 2006)
S. Ishii, S. Inoue, A. Otomo, J. Opt. Soc. Am. B 31, 218–222 (2014). https://doi.org/10.1364/JOSAB.31.000218
S. Ishii, R.P. Sugavaneshwar, K. Chen, T.D. Dao, T. Nagao, Opt. Mater. Exp. 6, 640–648 (2016). https://doi.org/10.1364/OME.6.000640
V. Savinov, V.A. Fedotov, N.I. Zheludev, Phys. Rev. B 89, 205112-1–20511212 (2014). https://doi.org/10.1103/PhysRevB.89.205112
A.E. Miroshnichenko, A.B. Evlyukhin, Y.F. Yu, R.M. Bakker, A. Chipouline, A.I. Kuznetsov, B. Luk’yanchuk, B.N. Chichkov, Y.S. Kivshar, Nat. Commun. 6, 8069 (2015). https://doi.org/10.1038/ncomms9069
A.B. Evlyukhin, C. Reinhardt, B.N. Chichkov, Phys. Rev. B 84, 235429 (2011). https://doi.org/10.1103/PhysRevB.84.235429
A.B. Evlyukhin, C. Reinhardt, E. Evlyukhin, B.N. Chichkov, J. Opt. Soc. Am. B 30, 2589–2598 (2013). https://doi.org/10.1364/JOSAB.30.002589
M. Polyanskiy, Refractive index database. http://www.refractiveindex.info. Accessed 10 Oct 2016
A. Ishimaru, Wave Propagation and Scattering in Random Media. Single Scattering and Transport Theory, vol 1 (Academic, New York, 1978)
M. Born, E. Wolf, Principles of Optics, 7th edn. (University Press, Cambridge, 2002)
S. Kachan, O. Stenzel, A. Ponyavina, Appl. Phys. B Lasers Opt. 84, 281–287 (2006). https://doi.org/10.1007/s00340-006-2252-8
V.A. Loiko, A.A. Miskevich, Opt. Spectrosc. 115, 274–282 (2013). https://doi.org/10.1134/S0030400X13070096
A.A. Miskevich, V.A. Loiko, J. Quant. Spectrosc. Radiat. Transfer 136, 58–70 (2014). https://doi.org/10.1016/j.jqsrt.2013.05.013
A.A. Miskevich, V.A. Loiko, Photocell. Republic of Belarus Patent BY 18325, 27 Feb 2012
A.A. Miskevich, V.A. Loiko, Photocell. Russian Federation Patent RU 2491681, 11 Mar 2012
A.A. Miskevich, V.A. Loiko, J. Quant. Spectrosc. Radiat. Transfer 112, 1082–1089 (2011). https://doi.org/10.1016/j.jqsrt.2010.11.019
A.A. Miskevich, V.A. Loiko, J. Experiment. Theor. Phys. 113, 1–13 (2011). https://doi.org/10.1134/S1063776111050153
K. Ohtaka, J. Phys. C: Solid St. Phys. 13, 667–680 (1980). https://doi.org/10.1088/0022-3719/13/4/022
K. Ohtaka, M. Inoue, Phys. Rev. B 25, 677–688 (1982). https://doi.org/10.1103/PhysRevB.25.677
M. Inoue, K. Ohtaka, S. Yanagawa, Phys. Rev. B 25, 689–699 (1982). https://doi.org/10.1103/PhysRevB.25.689
K. Ohtaka, Y. Suda, S. Nagano, T. Ueta, A. Imada, T. Koda, J.S. Bae, K. Mizuno, S. Yano, Y. Segawa, Phys. Rev. B 61, 5267–5279 (2000). https://doi.org/10.1103/PhysRevB.61.5267
A. Modinos, Phys. A 141, 575–588 (1987). https://doi.org/10.1016/0378-4371(87)90184-1
N. Stefanou, A. Modinos, J. Phys. Condens. Matter 3, 8135–8148 (1991). https://doi.org/10.1088/0953-8984/3/41/012
G. Gantzounis, N. Stefanou, Phys. Rev. B 73, 035115-1–03511510 (2006). https://doi.org/10.1103/PhysRevB.73.035115
V. Yannopapas, J. Opt. Soc. Am. B 31, 631–636 (2014). https://doi.org/10.1364/JOSAB.31.000631
A.B. Evlyukhin, C. Reinhardt, U. Zywietz, B.N. Chichkov, Phys. Rev. B 85, 245411-1–24541112 (2012). https://doi.org/10.1103/PhysRevB.85.245411
J.M. Ziman, Models of Disorder (University Press, Cambridge, 1979)
Z. Fisher, Statistical Theory of Liquids (University Press, Chicago, 1964)
D.A. Varshalovich, A.N. Moskalev, V.K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988)
G.V. Arfken, H.J. Weber, F.E. Harris, Mathematical Methods for Physicists, 7th edn. (Academic Press, Oxford, 2012)
Y. Rosenfeld, Phys. Rev. A 42, 5978 (1990.) https://doi.org/10.1103/PhysRevA.42.5978
V.P. Dick, V.A. Loiko, Opt. Spectrosc. 117, 111–117 (2014). https://doi.org/10.1134/S0030400X14070066
V.A. Loiko, A.V. Konkolovich, Opt. Spectrosc. 85, 563–567 (1998)
V.A. Loiko, A.V. Konkolovich, Opt. Spectrosc. 85, 568–573 (1998)
V.K. Varadan, V.N. Bringi, V.V. Varadan, A. Ishimaru, Radio Sci. 18, 321–327 (1983). https://doi.org/10.1029/RS018i003p00321
J.A. Lock, C.L. Chiu, Appl. Opt. 33, 4663–4671 (1994). https://doi.org/10.1364/AO.33.004663
L. Tsang, J.A. Kong, K.-H. Ding, C.O. Ao, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley, New York, 2001)
L.S. Ornstein, F. Zernike, Proc. Acad. Sci. 17, 793–806 (1914)
J.K. Percus, G.J. Yevick, Phys. Rev. 110, 1–13 (1958). https://doi.org/10.1103/PhysRev.110.1
A.P. Ivanov, V.A. Loiko, V.P. Dick, Rasprostranenie sveta v plotnoupakovannykh dispersnykh sredakh (Propagation of Light in Close-packed Disperse Media). (Nauka i Tekhnika, Minsk, 1988) (in Russian)
R. Rengarajan, D. Mittleman, C. Rich, V. Colvin, Phys. Rev. E 71, 016615-1–01661511 (2005). https://doi.org/10.1103/PhysRevE.71.016615
T. Prasad, V.L. Colvin, D.M. Mittleman, Opt. Express 15, 16954–16965 (2007). https://doi.org/10.1364/OE.15.016954
A. Ishimaru, Y. Kuga, J. Opt. Soc. Am. 72, 1317–1320 (1982). https://doi.org/10.1364/JOSA.72.001317
Y. Okada, A.A. Kokhanovsky, J. Quant. Spectrosc. Radiat. Transf. 110, 902–917 (2009). https://doi.org/10.1016/j.jqsrt.2008.12.007
V.A. Loiko, G.I. Ruban, Opt. Spectrosc. 88, 756–761 (2000). https://doi.org/10.1134/1.626872
V.A. Loiko, G.I. Ruban, J. Quant. Spectrosc. Radiat. Transf. 89, 271–278 (2004). https://doi.org/10.1016/j.jqsrt.2004.05.040
V.A. Loiko, V.V. Berdnik, The Journal of Photographic Science 48, 12–25 (2003)
V.V. Berdnik, V.A. Loiko, J. Quant. Spectrosc. Radiat. Transf. 63, 369–382 (1999). https://doi.org/10.1016/S0022-4073(99)00025-4
V.A. Loiko, V.V. Berdnik, Part. Part. Syst. Charact. 15, 115–121 (1998.) 10.1002/(SICI)1521-4117(199817)15:3<115::AID-PPSC115>3.0.CO;2-N
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This work was supported in part by the Belarusian Republican Foundation for Fundamental Research (project F15IC-005).
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Miskevich, A.A., Loiko, V.A. (2018). Absorption by Particulate Silicon Layer: Theoretical Treatment to Enhance Efficiency of Solar Cells. In: Ikhmayies, S. (eds) Advances in Silicon Solar Cells. Springer, Cham. https://doi.org/10.1007/978-3-319-69703-1_3
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