Features of the amplification of the electromagnetic field and the density of states of photonic crystal structures in plants
Shabanov A.V., Korshunov M.A., Bukhanov E.R.
Kirensky Institute of Physics, FRC KSC SB RAS, 660036, Krasnoyarsk, Russia, Akademgorodok 50/12,
Federal Research Center KSC SB RAS, 660036, Krasnoyarsk, Russia, Akademgorodok 50
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Abstract:
Calculations were performed using the transfer matrix of one-dimensional photonic crystals with low contrast and asymmetric structures of different periods. Such structures have been found in many plants. When joining two successively connected sublattices with different periods, an increase is observed in the amplitude of the electromagnetic field and the density of photon states inside the structure, and their change depends on the asymmetry of the thickness of the sublattices.
Keywords:
photonic crystal, defect mode, photonic band gap, layered periodic structures, density of states.
Citation:
Shabanov AV, Korshunov MA, Bukhanov ER. Features of the amplification of the electromagnetic field and the density of states of photonic crystal structures in plants. Computer Optics 2019; 43(2): 231-237. DOI: 10.18287/2412-6179-2019-43-2-231-237.
References:
- Mirkovic T, Ostroumov EE, Anna JM, van Grondelle R, Govindjee, Scholes GD. Light absorption and energy transfer in the antenna complexes of photosynthetic organisms. Chem Rev 2017; 117(2): 249-293.
- Bukhanov ER, Korshunov MA, Shabanov AV. Optical processes in photosynthesis [In Russian]. Sibirskij Lesnoj Zurnal 2018; 5: 19-32. DOI: 10.15372/SJFS20180502.
- Jacobs M, Lopez-Garcia M, Phrathep O-P, Lawson T, Oulton R, Whitney H.M. Photonic multilayer structure of Begonia chloroplasts enhances photosynthetic efficiency. Nature Plants 2016; 24(16162): 1-6.
- Hébant C, Lee DW. Ultrastructural basis and developmental control of blue iridescence in Selaginella leaves. Am J Bot 1984; 71(2): 216-219.
- Ghaffar R, Weidinger M, Mahnert B, Schagerl M, Lichtscheidl I. Adaptive responses of mature giant chloroplasts in the deep-shade lycopod Selaginella erythropus to prolonged light and dark periods. Plant Cell Environ 2018; 41: 1791-1805. DOI: 10.1111/pce.13181.
- Glover BJ, Whitney HM. Structural colour and iridescence in plants: the poorly studied relations of pigment colour. Ann Bot 2010; 105: 505-511. DOI: 10.1093/aob/mcq007.
- Whitney HM, Kolle M, Alvarez-Fernandez R, Steiner U, Glover BJ. Contributions of iridescence to floral patterning. Commun Integr Biol 2009; 2: 230-232. DOI: 10.4161/cib.2.3.8084.
- Pao S-H, Tsai P-Y, Peng C-I, Chen P-J, Tsai C-C, Yang E-C, Shih M-C, Chen J, Yang J-Y, Chesson P, Sheue C-R. Lamelloplasts and minichloroplasts in Begoniaceae: iridescence and photosynthetic functioning. J Plant Res 2018; 131(4): 655-670. DOI: 10.1007/s10265-018-1020-2.
- Thomas KR, Kolle M, Whitney HM, Glover BJ, Steiner U. Function of blue iridescence in tropical understorey plants. J R Soc Interface 2010; 7: 1699-1707. DOI: 10.1098/rsif.2010.0201.
- Vignolini S, Rudall PJ, Rowland AV, Reed A, Moyroud E, Faden RB, Baumberg JJ, Glover BJ, Steiner U. Pointillist structural colour in Pollia fruit. PNAS 2012; 109(39): 15712-15715. DOI: 10.1073/pnas.1210105109.
- Lopez-Garcia M, Masters N, O’Brien HE, Lennon J, Atkinson G, Cryan MJ, Oulton R, Whitney HM. Light-induced dynamic structural color by intracellular 3D photonic crystals in brown algae. Science Advances 2018; 4(4): eaan8917. DOI: 10.1126/sciadv.aan8917,
- Allen WA, Gausman HW, Richardson AJ, Thomas JR. Interaction of isotropic light with a compact plant leaf. J Opt Soc Am 1969; 59(10): 1376-1379. DOI: 10.1364/JOSA.59.001376.
- Witt HT. Primary acts of energy conservation in the functional membrane of photosynthesis In Book: Govindjee, ed. Bioenergetics of Photosynthesis. New York: Academic Press; 1975: 493-554.
- Witt HT. Energy conversion in the functional membrane of photosynthesis. Analysis by light pulse and electric pulse methods. The central role of the electric field. Biochim Biophys Acta 1979; 505(3-4): 355-427.
- Eliseeva SV, Ostatochnicov VA, Sementsov DI. Field and spectra of one-dimensional photonic crystal with inversion type defect [In Russian]. Computer Optics 2012; 36(1): 14-20.
- Doskolovich LL, Bykov DA, Bezus EA, Soifer VA. Spatial differentiation of optical beams using phase-shifted Bragg grating. Opt Lett 2014; 39(5): 1278-1281. DOI: 10.1364/OL.39.001278.
- Bykov DA, Doskolovich LL, Bezus EA, Soifer VA. Optical computation of the Laplace operator using phase-shifted Bragg grating. Opt Express 2014; 22(21): 25084-25092. DOI: 10.1364/OE.22.025084.
- Golovastikov NV, Bykov DA, Doskolovich LL, Bezus EA. Spatial optical integrator based on phase-shifted Bragg gratings. Opt Commun 2015; 338: 457-460. DOI: 10.1016/j.optcom.2014.11.007.
- Nasedkina YF, Eliseeva SV, Sementsov DI. Transformation of a Gaussian pulse when interacting with a one-dimensional photonic crystal with an inversion defect. Photonics and Nanostructures – Fundamentals and Applications 2016; 19: 31-38.
- Dadoenkova YuS, Dadoenkova NN, Lyubchanskii IL, Sementsov DI. Reshaping of Gaussian light pulses transmitted through one-dimensional photonic crystals with two defect layers. Appl Opt 2016; 55: 3764-3770.
- Abram RA, Greshnov AA, Brand S, Kaliteevski MA. A study of a phase formalism for calculating the cumulative density of states of one-dimensional photonic crystals. J Mod Opt 2017; 64(15): 1501-1509.
- Shabanov AV, Korshunov MA, Bukhanov ER. Investigation of the electromagnetic field in single-dimensional photonic crystals with defects. Computer Optics 2017; 41(5): 680-686. DOI: 10.18287/2412-6179-2017-41-5-680-686.
- Bendickson JM, Dowling JP, Scalora M. Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures. Phys Rev E 1996; 53: 4107-4121.
- Shabanov VF, Vetrov SYa, Shabanov AV. Optics of real photonic crystals [In Russian]. Novosibirsk: "Izdatelstvo SB RAS: Publisher; 2005.
- Vats N, John S, Busch K. Theory of fluorescence in photonic crystals. Phys Rev A 2002; 65: 043808.
- Schmidtkea J, Stille W. Fluorescence of a dye-doped cholesteric liquid crystal film in the region of the stop band: theory and experiment. Eur Phys J B 2003; 31: 179-194. DOI: 10.1140/epjb/e2003-00022-x.
- D’Aguanno G, Mattiucci N, Scalora M, Bloemer MJ, Zheltikov AM. Density of modes and tunneling times in finite one-dimensional photonic crystals: A comprehensive analysis. Phys Rev E 2004; 70: 016612.
- D’Aguanno G, Centini M, Scalora M, Sibilia C, Dumeige Y, Vidakovic P, Levenson JA, Bloemer MJ, Bowden CM, Haus JW, Bertolotti M. Photonic band edge effects in finite structures and applications to x2 interactions. Phys Rev E 2001; 64: 016609.
- Kirchhoff H, Hall C, Wood M, Herbstová M, Tsabari O, Nevo R, Charuvi D, Shimoni E, Reich Z. Dynamic control of protein diffusion within the granal thylakoid lumen. PNAS 2011; 108(50): 20249-20253.
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