C. Y. H. Larry, C. Andrews, and L. Ronald Phillips, Laser Beam Scintillation with Applications (SPIE Press, 2001).

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

V. P. Lukin and M. I. Charnotskiĭ, “Reciprocity principle and adaptive control of optical radiation parameters,” Sov. J. Quantum Electron. 12, 602–605 (1982).

[Crossref]

C. Chen and H. Yang, “Shared secret key generation from signal fading in a turbulent optical wireless channel using common-transverse-spatial-mode coupling,” Opt. Express 26, 16422–16441 (2018).

[Crossref]
[PubMed]

C. Chen and H. Yang, “Correlation between light-flux fluctuations of two counter-propagating waves in weak atmospheric turbulence,” Opt. Express 25, 12779–12795 (2017).

[Crossref]
[PubMed]

C. Chen, H. Yang, S. Tong, and Y. Lou, “Mean-square angle-of-arrival difference between two counter-propagating spherical waves in the presence of atmospheric turbulence,” Opt. Express 23, 24657–24668 (2015).

[Crossref]
[PubMed]

W.-F. Lin, C.-W. Chow, and C.-H. Yeh, “Using specific and adaptive arrangement of grid-type pilot in channel estimation for white-lightled-based OFDM visible light communication system,” Opt. Commun. 338, 7 – 10 (2015).

[Crossref]

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

J. Minet, M. A. Vorontsov, E. Polnau, and D. Dolfi, “Enhanced correlation of received power-signal fluctuations in bidirectional optical links,” J. Opt. 15, 022401 (2013).

[Crossref]

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

D. Fried, “Greenwood frequency measurements,” J. Opt. Soc. Am. 7, 946–947 (1990).

[Crossref]

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

N. Perlot and D. Giggenbach, “Scintillation correlation between forward and return spherical waves,” Appl. Opt. 51, 2888–2893 (2012).

[Crossref]
[PubMed]

D. Giggenbach, W. Cowley, K. Grant, and N. Perlot, “Experimental verification of the limits of optical channel intensity reciprocity,” Appl. Opt. 51, 3145–3152 (2012).

[Crossref]
[PubMed]

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

T. Morio, T. Hideki, S. Yozo, and T. Yoshihisa, “Frequency characteristics of atmospheric turbulence in space-toground laser links,” Proc. SPIE 7685, 76850G (2010).

[Crossref]

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

E. P. Peter and E. Kloeden, Numerical Solution of Stochastic Differential Equations (Springer, 1992).

S. Primak, V. Lyandres, and V. Kontorovich, “Markov models of non-Gaussian exponentially correlated processes and their applications,” Phys. Rev. E 63, 061103 (2001).

[Crossref]

V. L. Serguei Primak and Valeri Kontorovitch, Stochastic methods and their applications to communications: stochastic differential equations approach (Wiley, 2004).

[Crossref]

C. Y. H. Larry, C. Andrews, and L. Ronald Phillips, Laser Beam Scintillation with Applications (SPIE Press, 2001).

W.-F. Lin, C.-W. Chow, and C.-H. Yeh, “Using specific and adaptive arrangement of grid-type pilot in channel estimation for white-lightled-based OFDM visible light communication system,” Opt. Commun. 338, 7 – 10 (2015).

[Crossref]

V. P. Lukin and M. I. Charnotskiĭ, “Reciprocity principle and adaptive control of optical radiation parameters,” Sov. J. Quantum Electron. 12, 602–605 (1982).

[Crossref]

S. Primak, V. Lyandres, and V. Kontorovich, “Markov models of non-Gaussian exponentially correlated processes and their applications,” Phys. Rev. E 63, 061103 (2001).

[Crossref]

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

J. Minet, M. A. Vorontsov, E. Polnau, and D. Dolfi, “Enhanced correlation of received power-signal fluctuations in bidirectional optical links,” J. Opt. 15, 022401 (2013).

[Crossref]

T. Morio, T. Hideki, S. Yozo, and T. Yoshihisa, “Frequency characteristics of atmospheric turbulence in space-toground laser links,” Proc. SPIE 7685, 76850G (2010).

[Crossref]

A. Neuenkirch and L. Szpruch, “First order strong approximations of scalar SDEs defined in a domain,” Numer. Math. 128, 103–136 (2014).

[Crossref]

A. L. Puryear, J. H. Shapiro, and R. R. Parenti, “Reciprocity-enhanced optical communication through atmospheric turbulence- part II: Communication architectures and performance,” J. Opt. Commun. Netw. 5, 888–900 (2013).

[Crossref]

R. R. Parenti, J. M. Roth, J. H. Shapiro, F. G. Walther, and J. A. Greco, “Experimental observations of channel reciprocity in single-mode free-space optical links,” Opt. Express 20, 21635–21644 (2012).

[Crossref]
[PubMed]

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

E. P. Peter and E. Kloeden, Numerical Solution of Stochastic Differential Equations (Springer, 1992).

R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE Press, 2005).

J. Minet, M. A. Vorontsov, E. Polnau, and D. Dolfi, “Enhanced correlation of received power-signal fluctuations in bidirectional optical links,” J. Opt. 15, 022401 (2013).

[Crossref]

S. Primak, V. Lyandres, and V. Kontorovich, “Markov models of non-Gaussian exponentially correlated processes and their applications,” Phys. Rev. E 63, 061103 (2001).

[Crossref]

B. W. F. Robert and K. Tyson, Field Guide to Adaptive Optics, 2nd ed. (SPIE Press, 2012).

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

C. Y. H. Larry, C. Andrews, and L. Ronald Phillips, Laser Beam Scintillation with Applications (SPIE Press, 2001).

V. L. Serguei Primak and Valeri Kontorovitch, Stochastic methods and their applications to communications: stochastic differential equations approach (Wiley, 2004).

[Crossref]

A. L. Puryear, J. H. Shapiro, and R. R. Parenti, “Reciprocity-enhanced optical communication through atmospheric turbulence- part II: Communication architectures and performance,” J. Opt. Commun. Netw. 5, 888–900 (2013).

[Crossref]

R. R. Parenti, J. M. Roth, J. H. Shapiro, F. G. Walther, and J. A. Greco, “Experimental observations of channel reciprocity in single-mode free-space optical links,” Opt. Express 20, 21635–21644 (2012).

[Crossref]
[PubMed]

J. H. Shapiro and A. L. Puryear, “Reciprocity-enhanced optical communication through atmospheric turbulence- part I: Reciprocity proofs and far-field power transfer optimization,” J. Opt. Commun. Netw. 4, 947–954 (2012).

[Crossref]

J. H. Shapiro, “Reciprocity of the turbulent atmosphere,” J. Opt. Soc. Am. 61, 492–495 (1971).

[Crossref]

A. Neuenkirch and L. Szpruch, “First order strong approximations of scalar SDEs defined in a domain,” Numer. Math. 128, 103–136 (2014).

[Crossref]

B. W. F. Robert and K. Tyson, Field Guide to Adaptive Optics, 2nd ed. (SPIE Press, 2012).

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

J. Minet, M. A. Vorontsov, E. Polnau, and D. Dolfi, “Enhanced correlation of received power-signal fluctuations in bidirectional optical links,” J. Opt. 15, 022401 (2013).

[Crossref]

M. A. Vorontsov, G. W. Carhart, M. Cohen, and G. Cauwenberghs, “Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration,” J. Opt. Soc. Am. A 17, 1440–1453 (2000).

[Crossref]

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

C. Chen and H. Yang, “Shared secret key generation from signal fading in a turbulent optical wireless channel using common-transverse-spatial-mode coupling,” Opt. Express 26, 16422–16441 (2018).

[Crossref]
[PubMed]

C. Chen and H. Yang, “Correlation between light-flux fluctuations of two counter-propagating waves in weak atmospheric turbulence,” Opt. Express 25, 12779–12795 (2017).

[Crossref]
[PubMed]

C. Chen, H. Yang, S. Tong, and Y. Lou, “Mean-square angle-of-arrival difference between two counter-propagating spherical waves in the presence of atmospheric turbulence,” Opt. Express 23, 24657–24668 (2015).

[Crossref]
[PubMed]

W.-F. Lin, C.-W. Chow, and C.-H. Yeh, “Using specific and adaptive arrangement of grid-type pilot in channel estimation for white-lightled-based OFDM visible light communication system,” Opt. Commun. 338, 7 – 10 (2015).

[Crossref]

T. Morio, T. Hideki, S. Yozo, and T. Yoshihisa, “Frequency characteristics of atmospheric turbulence in space-toground laser links,” Proc. SPIE 7685, 76850G (2010).

[Crossref]

T. Morio, T. Hideki, S. Yozo, and T. Yoshihisa, “Frequency characteristics of atmospheric turbulence in space-toground laser links,” Proc. SPIE 7685, 76850G (2010).

[Crossref]

N. Perlot and D. Giggenbach, “Scintillation correlation between forward and return spherical waves,” Appl. Opt. 51, 2888–2893 (2012).

[Crossref]
[PubMed]

D. Giggenbach, W. Cowley, K. Grant, and N. Perlot, “Experimental verification of the limits of optical channel intensity reciprocity,” Appl. Opt. 51, 3145–3152 (2012).

[Crossref]
[PubMed]

D. Bykhovsky, “Free-space optical channel simulator for weak-turbulence conditions,” Appl. Opt. 54, 9055–9059 (2015).

[Crossref]
[PubMed]

J. Minet, M. A. Vorontsov, E. Polnau, and D. Dolfi, “Enhanced correlation of received power-signal fluctuations in bidirectional optical links,” J. Opt. 15, 022401 (2013).

[Crossref]

G. A. Tyler, “Bandwidth considerations for tracking through turbulence,” J. Opt. Soc. Am. A 11, 358–367 (1994).

[Crossref]

M. A. Vorontsov, G. W. Carhart, M. Cohen, and G. Cauwenberghs, “Adaptive optics based on analog parallel stochastic optimization: analysis and experimental demonstration,” J. Opt. Soc. Am. A 17, 1440–1453 (2000).

[Crossref]

H. T. Yura and S. G. Hanson, “Optical beam wave propagation through complex optical systems,” J. Opt. Soc. Am. A 4, 1931–1948 (1987).

[Crossref]

H.T. Yura and S.G. Hanson, “Digital simulation of an arbitrary stationary stochastic process by spectral representation,” J. Opt. Soc. Am. A 28, 675–685 (2011).

[Crossref]

A. Neuenkirch and L. Szpruch, “First order strong approximations of scalar SDEs defined in a domain,” Numer. Math. 128, 103–136 (2014).

[Crossref]

W.-F. Lin, C.-W. Chow, and C.-H. Yeh, “Using specific and adaptive arrangement of grid-type pilot in channel estimation for white-lightled-based OFDM visible light communication system,” Opt. Commun. 338, 7 – 10 (2015).

[Crossref]

J. Palastro, J. P. nano, W. Nelson, G. DiComo, M. Helle, A. Johnson, and L. B. Hafizi, “Reciprocity breaking during nonlinear propagation of adapted beams through random media,” Opt. Express 24, 18817–18827 (2016).

[Crossref]
[PubMed]

C. Chen and H. Yang, “Shared secret key generation from signal fading in a turbulent optical wireless channel using common-transverse-spatial-mode coupling,” Opt. Express 26, 16422–16441 (2018).

[Crossref]
[PubMed]

C. Chen, H. Yang, S. Tong, and Y. Lou, “Mean-square angle-of-arrival difference between two counter-propagating spherical waves in the presence of atmospheric turbulence,” Opt. Express 23, 24657–24668 (2015).

[Crossref]
[PubMed]

C. Chen and H. Yang, “Correlation between light-flux fluctuations of two counter-propagating waves in weak atmospheric turbulence,” Opt. Express 25, 12779–12795 (2017).

[Crossref]
[PubMed]

R. R. Parenti, J. M. Roth, J. H. Shapiro, F. G. Walther, and J. A. Greco, “Experimental observations of channel reciprocity in single-mode free-space optical links,” Opt. Express 20, 21635–21644 (2012).

[Crossref]
[PubMed]

W. Liu, K. Yao, D. Huang, X. Lin, L. Wang, and Y. Lv, “Performance evaluation of coherent free space optical communications with a double-stage fast-steering-mirror adaptive optics system depending on the Greenwood frequency,” Opt. Express 24, 13288–13302 (2016).

[Crossref]
[PubMed]

S. Primak, V. Lyandres, and V. Kontorovich, “Markov models of non-Gaussian exponentially correlated processes and their applications,” Phys. Rev. E 63, 061103 (2001).

[Crossref]

T. Morio, T. Hideki, S. Yozo, and T. Yoshihisa, “Frequency characteristics of atmospheric turbulence in space-toground laser links,” Proc. SPIE 7685, 76850G (2010).

[Crossref]

V. P. Lukin and M. I. Charnotskiĭ, “Reciprocity principle and adaptive control of optical radiation parameters,” Sov. J. Quantum Electron. 12, 602–605 (1982).

[Crossref]

J.-M. Conan, C. Robert, N. V édrenne, M.-T. Velluet, P. Wolf, and V. Michau, “Reciprocity principle for the modelling of ground-space adaptive optics assisted optical links: Application to frequency and data transfer,” in Imaging and Applied Optics2016, (2016), p. AOTh1C.4.

[Crossref]

S. Parthasarathy, D. Giggenbach, C. Fuchs, R. Mata-Calvo, R. Barrios, and A. Kirstaedter, “Verification of channel reciprocity in long-range turbulent FSO links,” in Photonic Networks; 19th ITG-Symposium, (2018), pp. 1–6.

C. Y. H. Larry, C. Andrews, and L. Ronald Phillips, Laser Beam Scintillation with Applications (SPIE Press, 2001).

R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE Press, 2005).

B. W. F. Robert and K. Tyson, Field Guide to Adaptive Optics, 2nd ed. (SPIE Press, 2012).

V. L. Serguei Primak and Valeri Kontorovitch, Stochastic methods and their applications to communications: stochastic differential equations approach (Wiley, 2004).

[Crossref]

E. P. Peter and E. Kloeden, Numerical Solution of Stochastic Differential Equations (Springer, 1992).