Skip to main content

2016 | OriginalPaper | Buchkapitel

7. Diffraction Effects and Optical Beam Shaping in FSO Terminals

verfasst von : Juraj Poliak, Peter Barcik, Otakar Wilfert

Erschienen in: Optical Wireless Communications

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The first part of the chapter is focused on the wave effects, which occur when the Gaussian beam is being restricted by a circular aperture, e.g., by a lens socket. An elliptically symmetrical Gaussian beam is considered in the analysis to improve the generality and to analyze beams produced by edge-emitting semiconductor lasers. From the Huygens-Fresnel principle, two models of the Fresnel diffraction were derived. These models provided means for defining contrast of the diffraction pattern that can be used to quantitatively assess the influence of the diffraction effects on the optical link performance. The second section is devoted to the study that shows the misalignment analysis for two cases—lateral displacement and angular misalignment of the transmitter and the receiver, respectively. The expression for the misalignment attenuation of the elliptical Gaussian beam in FSO links is derived. It will be also shown, how the elliptical Gaussian beam can be used to improve the system’s resistance to some deteriorating effects, e.g., building sway. The third part of the chapter is focused on the analysis of the optimal optical intensity distribution within a radiated laser beam at a transmitter plane which is propagated through free space. The aim of the chapter is to determine the optimal parameters for a Flattened Gaussian beam at the transmitter plane.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Langer, K.D., Grubor, J.: Recent developments in optical wireless communications using infrared and visible light. In: 9th International Conference on Transparent Optical Networks ICTON’07 (2007) Langer, K.D., Grubor, J.: Recent developments in optical wireless communications using infrared and visible light. In: 9th International Conference on Transparent Optical Networks ICTON’07 (2007)
2.
Zurück zum Zitat Leitgeb, E., Plank, T., Pezzei, P., Kraus, D., Poliak, J.: Integration of fso in local area networks—combination of optical wireless with wlan and dvb-t for last mile internet connections. In: Proceedings of 2014 19th European Conference on Networks and Optical Communications, pp. 120–125 (2014) Leitgeb, E., Plank, T., Pezzei, P., Kraus, D., Poliak, J.: Integration of fso in local area networks—combination of optical wireless with wlan and dvb-t for last mile internet connections. In: Proceedings of 2014 19th European Conference on Networks and Optical Communications, pp. 120–125 (2014)
3.
Zurück zum Zitat Henniger, H., Wilfert, O.: An introduction to free-space optical communications. Radio Eng. 19(2), 203–212 (2010) Henniger, H., Wilfert, O.: An introduction to free-space optical communications. Radio Eng. 19(2), 203–212 (2010)
4.
Zurück zum Zitat Born, M., Wolf, E.: Principles of Optics. Cambridge University Press, Cambridge (2003) Born, M., Wolf, E.: Principles of Optics. Cambridge University Press, Cambridge (2003)
5.
Zurück zum Zitat Fresnel, A.: Memoire sur la diffraction de la lumiere. Mem de l’Academie des Sciences, pp. 247–382 (1818) Fresnel, A.: Memoire sur la diffraction de la lumiere. Mem de l’Academie des Sciences, pp. 247–382 (1818)
6.
7.
Zurück zum Zitat Gillen, G.D., Guha, S.: Modeling and propagation of near-field diffraction patterns: a more complete approach. Am. J. Phys. 72(9), 1195 (2004)CrossRef Gillen, G.D., Guha, S.: Modeling and propagation of near-field diffraction patterns: a more complete approach. Am. J. Phys. 72(9), 1195 (2004)CrossRef
8.
Zurück zum Zitat Hovenac, E.A.: Fresnel diffraction by spherical obstacles. Am. J. Phys. 57(1), 79–84 (1989)CrossRef Hovenac, E.A.: Fresnel diffraction by spherical obstacles. Am. J. Phys. 57(1), 79–84 (1989)CrossRef
9.
Zurück zum Zitat Lucke, R.L.: Rayleigh-Sommerfeld diffraction vs Fresnel-Kirchhoff, Fourier Propagation, and Poisson’s Spot. Technical report, Naval Research Laboratory (2004) Lucke, R.L.: Rayleigh-Sommerfeld diffraction vs Fresnel-Kirchhoff, Fourier Propagation, and Poisson’s Spot. Technical report, Naval Research Laboratory (2004)
10.
Zurück zum Zitat Watson, G.N.: A Treatise On The Theory Of Bessel Functions, 2nd edn. Cambridge University Press, London (1966)MATH Watson, G.N.: A Treatise On The Theory Of Bessel Functions, 2nd edn. Cambridge University Press, London (1966)MATH
11.
Zurück zum Zitat Sheppard, C.J.R., Hrynevych, M.: Diffraction by a circular aperture: a generalization of fresnel diffraction theory. J. Opt. Soc. Am. A 9(2), 274–281 (1992)CrossRef Sheppard, C.J.R., Hrynevych, M.: Diffraction by a circular aperture: a generalization of fresnel diffraction theory. J. Opt. Soc. Am. A 9(2), 274–281 (1992)CrossRef
12.
Zurück zum Zitat Poliak, J., Komrska, J., Wilfert, O.: Restricted beam analysis for fso links. In: 2012 6th European Conference on Antennas and Propagation (EUCAP), pp. 335–339 (2012) Poliak, J., Komrska, J., Wilfert, O.: Restricted beam analysis for fso links. In: 2012 6th European Conference on Antennas and Propagation (EUCAP), pp. 335–339 (2012)
13.
Zurück zum Zitat Barcik, P., Hudcova, L.: Measurement of spatial coherence of light propagating in a turbulent atmosphere. Radioengineering 22(1), 341–345 (2013) Barcik, P., Hudcova, L.: Measurement of spatial coherence of light propagating in a turbulent atmosphere. Radioengineering 22(1), 341–345 (2013)
14.
Zurück zum Zitat Farid, A.A., Hranilovic, S.: Outage capacity optimization for free/space optical links with pointing errors. J. Lightwave Technol. 25(7), 1702–1710 (2007)CrossRef Farid, A.A., Hranilovic, S.: Outage capacity optimization for free/space optical links with pointing errors. J. Lightwave Technol. 25(7), 1702–1710 (2007)CrossRef
15.
Zurück zum Zitat Poliak, J., Pezzei, P., Barcik, P., Leitgeb, E., Hudcova, L., Wilfert, O.: On the derivation of exact analytical FSO link attenuation model. Trans. Emerg. Telecommun. Technol. 25(6), 609–617 (2014)CrossRef Poliak, J., Pezzei, P., Barcik, P., Leitgeb, E., Hudcova, L., Wilfert, O.: On the derivation of exact analytical FSO link attenuation model. Trans. Emerg. Telecommun. Technol. 25(6), 609–617 (2014)CrossRef
16.
Zurück zum Zitat Mandel, L., Wolf, E.: Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge (1995) Mandel, L., Wolf, E.: Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge (1995)
17.
Zurück zum Zitat Poliak, J., Wilfert, O.: Extended model of restricted beam for FSO links. In: Proceedings SPIE 8517, Laser Communication and Propagation through the Atmosphere and Oceans, vol. 8517, pp. 851711-1–851711-8 (2012) Poliak, J., Wilfert, O.: Extended model of restricted beam for FSO links. In: Proceedings SPIE 8517, Laser Communication and Propagation through the Atmosphere and Oceans, vol. 8517, pp. 851711-1–851711-8 (2012)
18.
Zurück zum Zitat Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series, and products, 7th edn. Elsevier/Academic Press, Amsterdam, translated from the Russian, Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger, With one CD-ROM (Windows, Macintosh and UNIX) Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series, and products, 7th edn. Elsevier/Academic Press, Amsterdam, translated from the Russian, Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger, With one CD-ROM (Windows, Macintosh and UNIX)
19.
Zurück zum Zitat Lee, I.E., Ghassemlooy, Z., Member, S., Ng, W.P.: Effects of aperture averaging and beam width on gaussian free space optical links in the presence of atmospheric turbulence and pointing error. In: 14th International Conference on Transparent Optical Networks (ICTON), pp. 2–5 (2012) Lee, I.E., Ghassemlooy, Z., Member, S., Ng, W.P.: Effects of aperture averaging and beam width on gaussian free space optical links in the presence of atmospheric turbulence and pointing error. In: 14th International Conference on Transparent Optical Networks (ICTON), pp. 2–5 (2012)
20.
Zurück zum Zitat Kaur, P., Jain, V.K., Kar, S.: Capacity of free space optical links with spatial diversity and aperture averaging. In: 2014 27th Biennial Symposium on Communications (QBSC) vol. 6, issue 3, pp. 14–18 (2014) Kaur, P., Jain, V.K., Kar, S.: Capacity of free space optical links with spatial diversity and aperture averaging. In: 2014 27th Biennial Symposium on Communications (QBSC) vol. 6, issue 3, pp. 14–18 (2014)
21.
Zurück zum Zitat Yang, L., Gao, X., Alouini, M.S.: Performance analysis of free-space optical communication systems with multiuser diversity over atmospheric turbulence channels. IEEE Photonics J. 6(2), 1–17 (2014) Yang, L., Gao, X., Alouini, M.S.: Performance analysis of free-space optical communication systems with multiuser diversity over atmospheric turbulence channels. IEEE Photonics J. 6(2), 1–17 (2014)
22.
Zurück zum Zitat Eyyuboglu, H.T., Baykal, Y., Sermutlu, E., Korotkova, O., Cai, Y.: Scintillation index of modied Bessel-Gaussian beams propagating in turbulent media. J. Opt. Soc. Am. A Opt. Image Sci. Vision 26(2), 387–94 (2009) Eyyuboglu, H.T., Baykal, Y., Sermutlu, E., Korotkova, O., Cai, Y.: Scintillation index of modied Bessel-Gaussian beams propagating in turbulent media. J. Opt. Soc. Am. A Opt. Image Sci. Vision 26(2), 387–94 (2009)
23.
Zurück zum Zitat Eyyuboglu, H.T., Baykal, Y., Sermutlu, E., Cai, Y.: Scintillation advantages of lowest order Bessel-Gaussian beams. Appl. Phys. B Laser. Opt. 92, 229–235 (2008)CrossRef Eyyuboglu, H.T., Baykal, Y., Sermutlu, E., Cai, Y.: Scintillation advantages of lowest order Bessel-Gaussian beams. Appl. Phys. B Laser. Opt. 92, 229–235 (2008)CrossRef
24.
Zurück zum Zitat Kollarova, V., Medrik, T., Celechovsky, R.: Application of nondiffracting beams to wireless optical communications. In: Proceedings of SPIE (2007) Kollarova, V., Medrik, T., Celechovsky, R.: Application of nondiffracting beams to wireless optical communications. In: Proceedings of SPIE (2007)
26.
Zurück zum Zitat Gu, Y., Gbur, G.: Scintillation of Airy beam arrays in atmospheric turbulence. Opt. Lett. 35(20), 3456–3458 (2010)CrossRef Gu, Y., Gbur, G.: Scintillation of Airy beam arrays in atmospheric turbulence. Opt. Lett. 35(20), 3456–3458 (2010)CrossRef
27.
Zurück zum Zitat Chen, C., Yang, H., Kavehrad, M., Zhou, Z.: Propagation of radial Airy array beams through atmospheric turbulence. Opt. Laser. Eng. 52, 106–114 (2014)CrossRef Chen, C., Yang, H., Kavehrad, M., Zhou, Z.: Propagation of radial Airy array beams through atmospheric turbulence. Opt. Laser. Eng. 52, 106–114 (2014)CrossRef
28.
Zurück zum Zitat Cai, Y.: Propagation of various flat-topped beams in a turbulent atmosphere. J. Opt. A Pure Appl. Opt. 8(6), 537–545 (2006)CrossRef Cai, Y.: Propagation of various flat-topped beams in a turbulent atmosphere. J. Opt. A Pure Appl. Opt. 8(6), 537–545 (2006)CrossRef
29.
Zurück zum Zitat Alavinejad, M., Ghafary, B., Kashani, F.: Analysis of the propagation of flat-topped beam with various beam orders through turbulent atmosphere. Opt. Laser. Eng. 46(1), 1–5 (2008)CrossRef Alavinejad, M., Ghafary, B., Kashani, F.: Analysis of the propagation of flat-topped beam with various beam orders through turbulent atmosphere. Opt. Laser. Eng. 46(1), 1–5 (2008)CrossRef
30.
Zurück zum Zitat Eyyuboglu, H.T., Arpali, C., Baykal, Y.K.: Flat topped beams and their characteristics in turbulent media. Opt. Express 14(10), 4196–4207 (2006)CrossRef Eyyuboglu, H.T., Arpali, C., Baykal, Y.K.: Flat topped beams and their characteristics in turbulent media. Opt. Express 14(10), 4196–4207 (2006)CrossRef
31.
Zurück zum Zitat Dickey, F.M., Holswade, S.C.: Laser Beam Shaping: Theory and Techniques. Optical Science and Engineering, Taylor & Francis, Boca Raton (2002) Dickey, F.M., Holswade, S.C.: Laser Beam Shaping: Theory and Techniques. Optical Science and Engineering, Taylor & Francis, Boca Raton (2002)
32.
Zurück zum Zitat Hoffnagle, J.A., Jefferson, C.M.: Design and performance of a refractive optical system that converts a Gaussian to a flattop beam. Appl. Opt. 39(30), 5488–5499 (2000)CrossRef Hoffnagle, J.A., Jefferson, C.M.: Design and performance of a refractive optical system that converts a Gaussian to a flattop beam. Appl. Opt. 39(30), 5488–5499 (2000)CrossRef
33.
Zurück zum Zitat Hoffnagle, J.A.: Refractive Optical System that Converts a Laser Beam to a Collimated Flat-Top Beam (2001) Hoffnagle, J.A.: Refractive Optical System that Converts a Laser Beam to a Collimated Flat-Top Beam (2001)
34.
Zurück zum Zitat Feng, Z., Huang, L., Jin, G.: Beam shaping system design using double freeform optical surfaces. Opt. Express 21(12), 14,728–14,735 (2013) Feng, Z., Huang, L., Jin, G.: Beam shaping system design using double freeform optical surfaces. Opt. Express 21(12), 14,728–14,735 (2013)
35.
Zurück zum Zitat Shealy, D.L., Hoffnagle, J.A.: Laser beam shaping profiles and propagation. Appl. Opt. 45(21), 5118–5131 (2006)CrossRef Shealy, D.L., Hoffnagle, J.A.: Laser beam shaping profiles and propagation. Appl. Opt. 45(21), 5118–5131 (2006)CrossRef
36.
Zurück zum Zitat Duerr, F., Thienpont, H.: Refractive laser beam shaping by means of a functional differential equation based design approach. Opt. Express 22(7), 10,839–10,846 (2014) Duerr, F., Thienpont, H.: Refractive laser beam shaping by means of a functional differential equation based design approach. Opt. Express 22(7), 10,839–10,846 (2014)
37.
Zurück zum Zitat Barcik, P., Leitgeb, E., Hudcova, L.: Optical wireless communication transmitter with a refraction beam shaper. In: 2014 9th International Symposium on Communication Systems, Networks & Digital Sign (CSNDSP), pp. 1044–1048 (2014) Barcik, P., Leitgeb, E., Hudcova, L.: Optical wireless communication transmitter with a refraction beam shaper. In: 2014 9th International Symposium on Communication Systems, Networks & Digital Sign (CSNDSP), pp. 1044–1048 (2014)
38.
Zurück zum Zitat Bagini, V., Borghi, R., Gori, F., Pacileo, A.M., Santarsiero, M., Ambrosini, D., Spagnolo, G.S.: Propagation of axially symmetric fattened Gaussian beams. J. Opt. Soc. Am. A 13(7), 1385 (1996) Bagini, V., Borghi, R., Gori, F., Pacileo, A.M., Santarsiero, M., Ambrosini, D., Spagnolo, G.S.: Propagation of axially symmetric fattened Gaussian beams. J. Opt. Soc. Am. A 13(7), 1385 (1996)
39.
Zurück zum Zitat Cowan, D.C., Recolons, J., Andrews, L.C., Young, C.Y.: Propagation of flattened Gaussian beams in the atmosphere: a comparison of theory with a computer simulation model. In: Young, C.Y., Gilbreath, G.C. (eds.), Proceedings of SPIE, Atmospheric Propagation III, vol. 6215, pp. 62,150B–62,150B-10 (2006) Cowan, D.C., Recolons, J., Andrews, L.C., Young, C.Y.: Propagation of flattened Gaussian beams in the atmosphere: a comparison of theory with a computer simulation model. In: Young, C.Y., Gilbreath, G.C. (eds.), Proceedings of SPIE, Atmospheric Propagation III, vol. 6215, pp. 62,150B–62,150B-10 (2006)
40.
Zurück zum Zitat Schmidt, J.: Numerical Simulation of Optical Wave Propagation With Examples in MATLAB. SPIE Press, Washington (2010) Schmidt, J.: Numerical Simulation of Optical Wave Propagation With Examples in MATLAB. SPIE Press, Washington (2010)
41.
Zurück zum Zitat Andrews, L.C., Phillips, R.L., Hopen, C.Y.: Laser Beam Scintillation With Applications. Spie Press Monograph, SPIE Press, Bellingham (2001) Andrews, L.C., Phillips, R.L., Hopen, C.Y.: Laser Beam Scintillation With Applications. Spie Press Monograph, SPIE Press, Bellingham (2001)
42.
Zurück zum Zitat Yarnall, T.M., Michael, S.S., Moores, J.D., Parenti, R.R., Wilcox, Jr., W.E.: Analysis of rapid Cn2 fluctuations observed during a 5-km communication link experiment. In: Proceedings of SPIE, vol. 7324, 73,240B–73,240B-7 (2009) Yarnall, T.M., Michael, S.S., Moores, J.D., Parenti, R.R., Wilcox, Jr., W.E.: Analysis of rapid Cn2 fluctuations observed during a 5-km communication link experiment. In: Proceedings of SPIE, vol. 7324, 73,240B–73,240B-7 (2009)
Metadaten
Titel
Diffraction Effects and Optical Beam Shaping in FSO Terminals
verfasst von
Juraj Poliak
Peter Barcik
Otakar Wilfert
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-30201-0_7

Neuer Inhalt