N. Kohli, S. Srivastava, and E. K. Sharma, “Scalar coupled mode theory and variational analysis for planar SOI waveguide arrays: a detailed comparison,” Opt. Quantum Electron. 48, 265 (2016).

[Crossref]

J. Zhou and P. Gallion, “Comprehensive analytical model to characterize randomness in optical waveguides,” Opt. Express 24, 6825–6842 (2016).

[Crossref]

A. Macho, M. Morant, and R. Llorente, “Unified model of linear and nonlinear crosstalk in multi-core fiber,” J. Lightwave Technol. 34, 3035–3046 (2016).

[Crossref]

L. Szostkiewicz, M. Napierala, A. Ziolowicz, A. Pytel, T. Tenderenda, and T. Nasilowski, “Cross talk analysis in multicore optical fibers by supermode theory,” Opt. Lett. 41, 3759–3762 (2016).

[Crossref]

B. Zhu, G. Ren, Y. Gao, B. Wu, Q. Wang, C. Wan, and S. Jian, “Graphene plasmons isolator based on non-reciprocal coupling,” Opt. Express 23, 16071–16083 (2015).

[Crossref]

J. Xu and Y. Chen, “General coupled mode theory in non-Hermitian waveguides,” Opt. Express 23, 22619–22627 (2015).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Orthogonal solutions for asymmetric strongly coupled waveguide arrays: an elegant, analytical approach,” J. Opt. Soc. Am. B 31, 2871–2878 (2014).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

B. E. Little and W. P. Huang, “Coupled-mode theory for optical waveguides,” Prog. Electromagn. Res. 10, 217–270 (1995).

R. G. Peall and R. R. A. Syms, “Comparison between strong coupling theory and experiment for three-arm directional couplers in Ti:LiNbO3,” J. Lightwave Technol. 7, 540–554 (1989).

[Crossref]

H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, “Coupled-mode theory of optical waveguides,” J. Lightwave Technol. 5, 16–23 (1987).

S.-L. Chuang, “A coupled mode formulation by reciprocity and a variational principle,” J. Lightwave Technol. 5, 5–15 (1987).

[Crossref]

S.-L. Chuang, “Application of the strongly coupled-mode theory to integrated optical devices,” IEEE J. Quantum Electron. 23, 499–509 (1987).

[Crossref]

W. Streifer, M. Osisnsky, and A. Hardy, “Reformulation of the coupled-mode theory of multiwaveguide systems,” J. Lightwave Technol. 5, 1–4 (1987).

[Crossref]

E. A. J. Marcatili, “Improved coupled-mode equations for dielectric guides,” IEEE J. Quantum Electron. 22, 988–993 (1986).

[Crossref]

A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. 3, 1135–1146 (1985).

[Crossref]

A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9, 919–933 (1973).

S. A. Schelkunoff, “Conversion of Maxwell’s equations into generalized telegraphist’s equations,” Bell Syst. Tech. J. 34, 995–1043 (1955).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

S.-L. Chuang, “A coupled mode formulation by reciprocity and a variational principle,” J. Lightwave Technol. 5, 5–15 (1987).

[Crossref]

S.-L. Chuang, “Application of the strongly coupled-mode theory to integrated optical devices,” IEEE J. Quantum Electron. 23, 499–509 (1987).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

W. Streifer, M. Osisnsky, and A. Hardy, “Reformulation of the coupled-mode theory of multiwaveguide systems,” J. Lightwave Technol. 5, 1–4 (1987).

[Crossref]

A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. 3, 1135–1146 (1985).

[Crossref]

H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, “Coupled-mode theory of optical waveguides,” J. Lightwave Technol. 5, 16–23 (1987).

B. E. Little and W. P. Huang, “Coupled-mode theory for optical waveguides,” Prog. Electromagn. Res. 10, 217–270 (1995).

H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, “Coupled-mode theory of optical waveguides,” J. Lightwave Technol. 5, 16–23 (1987).

R. G. Hunsperger, Integrated Optics, 5th ed. (Springer, 2013), Chap. 8.

H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, “Coupled-mode theory of optical waveguides,” J. Lightwave Technol. 5, 16–23 (1987).

H. Kogelnik, “Theory of dielectric waveguides,” in Integrated Optics, T. Tamir, ed., 2nd ed. (Springer, 1979), Chap. 2.

N. Kohli, S. Srivastava, and E. K. Sharma, “Scalar coupled mode theory and variational analysis for planar SOI waveguide arrays: a detailed comparison,” Opt. Quantum Electron. 48, 265 (2016).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Orthogonal solutions for asymmetric strongly coupled waveguide arrays: an elegant, analytical approach,” J. Opt. Soc. Am. B 31, 2871–2878 (2014).

[Crossref]

B. E. Little and W. P. Huang, “Coupled-mode theory for optical waveguides,” Prog. Electromagn. Res. 10, 217–270 (1995).

E. A. J. Marcatili, “Improved coupled-mode equations for dielectric guides,” IEEE J. Quantum Electron. 22, 988–993 (1986).

[Crossref]

D. Marcuse, Light Transmission Optics, 2nd ed. (Van Nostrand Reinhold, 1982).

D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic, 1991).

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

W. Streifer, M. Osisnsky, and A. Hardy, “Reformulation of the coupled-mode theory of multiwaveguide systems,” J. Lightwave Technol. 5, 1–4 (1987).

[Crossref]

R. G. Peall and R. R. A. Syms, “Comparison between strong coupling theory and experiment for three-arm directional couplers in Ti:LiNbO3,” J. Lightwave Technol. 7, 540–554 (1989).

[Crossref]

S. A. Schelkunoff, “Conversion of Maxwell’s equations into generalized telegraphist’s equations,” Bell Syst. Tech. J. 34, 995–1043 (1955).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Scalar coupled mode theory and variational analysis for planar SOI waveguide arrays: a detailed comparison,” Opt. Quantum Electron. 48, 265 (2016).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Orthogonal solutions for asymmetric strongly coupled waveguide arrays: an elegant, analytical approach,” J. Opt. Soc. Am. B 31, 2871–2878 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Scalar coupled mode theory and variational analysis for planar SOI waveguide arrays: a detailed comparison,” Opt. Quantum Electron. 48, 265 (2016).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Orthogonal solutions for asymmetric strongly coupled waveguide arrays: an elegant, analytical approach,” J. Opt. Soc. Am. B 31, 2871–2878 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

W. Streifer, M. Osisnsky, and A. Hardy, “Reformulation of the coupled-mode theory of multiwaveguide systems,” J. Lightwave Technol. 5, 1–4 (1987).

[Crossref]

A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. 3, 1135–1146 (1985).

[Crossref]

R. G. Peall and R. R. A. Syms, “Comparison between strong coupling theory and experiment for three-arm directional couplers in Ti:LiNbO3,” J. Lightwave Technol. 7, 540–554 (1989).

[Crossref]

H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, “Coupled-mode theory of optical waveguides,” J. Lightwave Technol. 5, 16–23 (1987).

A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9, 919–933 (1973).

S. A. Schelkunoff, “Conversion of Maxwell’s equations into generalized telegraphist’s equations,” Bell Syst. Tech. J. 34, 995–1043 (1955).

[Crossref]

E. A. J. Marcatili, “Improved coupled-mode equations for dielectric guides,” IEEE J. Quantum Electron. 22, 988–993 (1986).

[Crossref]

A. Yariv, “Coupled-mode theory for guided-wave optics,” IEEE J. Quantum Electron. 9, 919–933 (1973).

S.-L. Chuang, “Application of the strongly coupled-mode theory to integrated optical devices,” IEEE J. Quantum Electron. 23, 499–509 (1987).

[Crossref]

W. Streifer, M. Osisnsky, and A. Hardy, “Reformulation of the coupled-mode theory of multiwaveguide systems,” J. Lightwave Technol. 5, 1–4 (1987).

[Crossref]

R. G. Peall and R. R. A. Syms, “Comparison between strong coupling theory and experiment for three-arm directional couplers in Ti:LiNbO3,” J. Lightwave Technol. 7, 540–554 (1989).

[Crossref]

A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. 3, 1135–1146 (1985).

[Crossref]

H. A. Haus, W. P. Huang, S. Kawakami, and N. A. Whitaker, “Coupled-mode theory of optical waveguides,” J. Lightwave Technol. 5, 16–23 (1987).

S.-L. Chuang, “A coupled mode formulation by reciprocity and a variational principle,” J. Lightwave Technol. 5, 5–15 (1987).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, P. Bassi, and A. Melloni, “Photonic integrated filter with widely tunable bandwidth,” J. Lightwave Technol. 32, 897–907 (2014).

[Crossref]

A. Macho, M. Morant, and R. Llorente, “Unified model of linear and nonlinear crosstalk in multi-core fiber,” J. Lightwave Technol. 34, 3035–3046 (2016).

[Crossref]

B. Zhu, G. Ren, Y. Gao, B. Wu, Q. Wang, C. Wan, and S. Jian, “Graphene plasmons isolator based on non-reciprocal coupling,” Opt. Express 23, 16071–16083 (2015).

[Crossref]

J. Xu and Y. Chen, “General coupled mode theory in non-Hermitian waveguides,” Opt. Express 23, 22619–22627 (2015).

[Crossref]

J. Zhou and P. Gallion, “Comprehensive analytical model to characterize randomness in optical waveguides,” Opt. Express 24, 6825–6842 (2016).

[Crossref]

S. Yang, M. L. Cooper, P. R. Bandaru, and S. Mookherjea, “Giant birefringence in multi-slotted silicon nanophotonic waveguides,” Opt. Express 16, 8306–8316 (2008).

[Crossref]

M. L. Cooper and S. Mookherjea, “Numerically-assisted coupled-mode theory for silicon waveguide couplers and arrayed waveguides,” Opt. Express 17, 1583–1599 (2009).

[Crossref]

P. Orlandi, F. Morichetti, M. Strain, M. Sorel, A. Melloni, and P. Bassi, “Tunable silicon photonics directional coupler driven by a transverse temperature gradient,” Opt. Lett. 38, 863–865 (2013).

[Crossref]

L. Szostkiewicz, M. Napierala, A. Ziolowicz, A. Pytel, T. Tenderenda, and T. Nasilowski, “Cross talk analysis in multicore optical fibers by supermode theory,” Opt. Lett. 41, 3759–3762 (2016).

[Crossref]

N. Kohli, S. Srivastava, and E. K. Sharma, “Scalar coupled mode theory and variational analysis for planar SOI waveguide arrays: a detailed comparison,” Opt. Quantum Electron. 48, 265 (2016).

[Crossref]

F. Fogli, N. Greco, P. Bassi, G. Bellanca, P. Aschieri, and P. Baldi, “Spatial harmonics modelling of planar periodic segmented waveguides,” Opt. Quantum Electron. 33, 485–498 (2001).

[Crossref]

B. E. Little and W. P. Huang, “Coupled-mode theory for optical waveguides,” Prog. Electromagn. Res. 10, 217–270 (1995).

“COMSOL Multiphysics software,” http://www.comsol.com .

R. G. Hunsperger, Integrated Optics, 5th ed. (Springer, 2013), Chap. 8.

H. Kogelnik, “Theory of dielectric waveguides,” in Integrated Optics, T. Tamir, ed., 2nd ed. (Springer, 1979), Chap. 2.

D. Marcuse, Light Transmission Optics, 2nd ed. (Van Nostrand Reinhold, 1982).

D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic, 1991).