Y. C. Lu, W. P. Huang, and S. S. Jian, “Full vector complex coupled mode theory for tilted fiber gratings,” Opt. Express 18(2), 713–726 (2010).

[CrossRef]
[PubMed]

N. Song, J. W. Mu, and W. P. Huang, “Application of the Complex Coupled-Mode Theory to Optical Fiber Grating Structures,” J. Lightwave Technol. 28(5), 761–767 (2010).

[CrossRef]

D. Vande Ginste, H. Rogier, and D. De Zutter, “Efficient computation of TM- and TE-polarized leaky modes in multilayered circular waveguides,” J. Lightwave Technol. 28(11), 1661–1669 (2010).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antenn. Propag. 49(2), 185–195 (2001).

[CrossRef]

Y. Koyamada, “Numerical analysis of core-mode to radiation-mode coupling in long-period fiber gratings,” IEEE Photon. Technol. Lett. 13(4), 308–310 (2001).

[CrossRef]

D. B. Stegall and T. Erdogan, “Leaky cladding mode propagation in long-period fiber grating devices,” IEEE Photon. Technol. Lett. 11(3), 343–345 (1999).

[CrossRef]

T. Erdogan, “Fiber gratings spectra,” J. Lightwave Technol. 15(8), 1277–1294 (1997).

[CrossRef]

T. Erdogan, “Cladding-mode resonances in short- and long-period fiber grating filters,” J. Opt. Soc. Am. A 14(8), 1760–1773 (1997) Errata: T. Erdogan, J. Opt. Soc. Am. A, 17(11), 2113–2113, (2000). Errata: Yinquan Yuan, J. Opt. Soc. Am. A, 26(10), 2199–2201, (2009).

[CrossRef]

F. Teixeira and W. Chew, “Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates,” IEEE Microw. Guid. Wave Lett. 7(11), 371–373 (1997).

[CrossRef]

S. L. Lee, Y. Chung, L. A. Coldren, and N. Dagli, “On Leaky Mode Approximations for modal expansion in multilayer open waveguides,” IEEE J. Quantum Electron. 31(10), 1790–1802 (1995).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114(2), 185–200 (1994).

[CrossRef]

W. Streifer, D. R. Scifres, and R. D. Burnham, “Coupled wave analysis of DFB and DBR lasers,” IEEE J. Quantum Electron. 13(4), 134–141 (1977).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114(2), 185–200 (1994).

[CrossRef]

W. Streifer, D. R. Scifres, and R. D. Burnham, “Coupled wave analysis of DFB and DBR lasers,” IEEE J. Quantum Electron. 13(4), 134–141 (1977).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

F. Teixeira and W. Chew, “Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates,” IEEE Microw. Guid. Wave Lett. 7(11), 371–373 (1997).

[CrossRef]

S. L. Lee, Y. Chung, L. A. Coldren, and N. Dagli, “On Leaky Mode Approximations for modal expansion in multilayer open waveguides,” IEEE J. Quantum Electron. 31(10), 1790–1802 (1995).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

S. L. Lee, Y. Chung, L. A. Coldren, and N. Dagli, “On Leaky Mode Approximations for modal expansion in multilayer open waveguides,” IEEE J. Quantum Electron. 31(10), 1790–1802 (1995).

[CrossRef]

S. L. Lee, Y. Chung, L. A. Coldren, and N. Dagli, “On Leaky Mode Approximations for modal expansion in multilayer open waveguides,” IEEE J. Quantum Electron. 31(10), 1790–1802 (1995).

[CrossRef]

D. Vande Ginste, H. Rogier, and D. De Zutter, “Efficient computation of TM- and TE-polarized leaky modes in multilayered circular waveguides,” J. Lightwave Technol. 28(11), 1661–1669 (2010).

[CrossRef]

H. Rogier and D. De Zutter, “Berenger and leaky modes in optical fibers terminated with a perfectly matched layer,” J. Lightwave Technol. 20(7), 1141–1148 (2002).

[CrossRef]

H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antenn. Propag. 49(2), 185–195 (2001).

[CrossRef]

H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antenn. Propag. 49(2), 185–195 (2001).

[CrossRef]

D. B. Stegall and T. Erdogan, “Leaky cladding mode propagation in long-period fiber grating devices,” IEEE Photon. Technol. Lett. 11(3), 343–345 (1999).

[CrossRef]

T. Erdogan, “Fiber gratings spectra,” J. Lightwave Technol. 15(8), 1277–1294 (1997).

[CrossRef]

T. Erdogan, “Cladding-mode resonances in short- and long-period fiber grating filters,” J. Opt. Soc. Am. A 14(8), 1760–1773 (1997) Errata: T. Erdogan, J. Opt. Soc. Am. A, 17(11), 2113–2113, (2000). Errata: Yinquan Yuan, J. Opt. Soc. Am. A, 26(10), 2199–2201, (2009).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

Y. C. Lu, W. P. Huang, and S. S. Jian, “Full vector complex coupled mode theory for tilted fiber gratings,” Opt. Express 18(2), 713–726 (2010).

[CrossRef]
[PubMed]

N. Song, J. W. Mu, and W. P. Huang, “Application of the Complex Coupled-Mode Theory to Optical Fiber Grating Structures,” J. Lightwave Technol. 28(5), 761–767 (2010).

[CrossRef]

W. P. Huang and J. W. Mu, “Complex coupled-mode theory for optical waveguides,” Opt. Express 17(21), 19134–19152 (2009).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Unified approach for coupling to cladding and radiation modes in fiber Bragg and long-period gratings,” J. Lightwave Technol. 27(11), 1461–1468 (2009).

[CrossRef]

J. Mu and W. P. Huang, “Simulation of three-dimensional waveguide discontinuities by a full-vector mode-matching method based on finite-difference schemes,” Opt. Express 16(22), 18152–18163 (2008).

[CrossRef]
[PubMed]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Improved full-vector finite-difference complex mode solver for optical waveguides of circular symmetry,” J. Lightwave Technol. 26(13), 1868–1876 (2008).

[CrossRef]

K. Jiang and W. P. Huang, “Finite-differene-based mode-matching method for 3-D waveguide structures under semivectorial approximation,” J. Lightwave Technol. 23(12), 4239–4248 (2005).

[CrossRef]

Y. C. Lu, W. P. Huang, and S. S. Jian, “Full vector complex coupled mode theory for tilted fiber gratings,” Opt. Express 18(2), 713–726 (2010).

[CrossRef]
[PubMed]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Unified approach for coupling to cladding and radiation modes in fiber Bragg and long-period gratings,” J. Lightwave Technol. 27(11), 1461–1468 (2009).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Improved full-vector finite-difference complex mode solver for optical waveguides of circular symmetry,” J. Lightwave Technol. 26(13), 1868–1876 (2008).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

S. L. Lee, Y. Chung, L. A. Coldren, and N. Dagli, “On Leaky Mode Approximations for modal expansion in multilayer open waveguides,” IEEE J. Quantum Electron. 31(10), 1790–1802 (1995).

[CrossRef]

Y. C. Lu, W. P. Huang, and S. S. Jian, “Full vector complex coupled mode theory for tilted fiber gratings,” Opt. Express 18(2), 713–726 (2010).

[CrossRef]
[PubMed]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Unified approach for coupling to cladding and radiation modes in fiber Bragg and long-period gratings,” J. Lightwave Technol. 27(11), 1461–1468 (2009).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Improved full-vector finite-difference complex mode solver for optical waveguides of circular symmetry,” J. Lightwave Technol. 26(13), 1868–1876 (2008).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antenn. Propag. 49(2), 185–195 (2001).

[CrossRef]

W. Streifer, D. R. Scifres, and R. D. Burnham, “Coupled wave analysis of DFB and DBR lasers,” IEEE J. Quantum Electron. 13(4), 134–141 (1977).

[CrossRef]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

D. B. Stegall and T. Erdogan, “Leaky cladding mode propagation in long-period fiber grating devices,” IEEE Photon. Technol. Lett. 11(3), 343–345 (1999).

[CrossRef]

W. Streifer, D. R. Scifres, and R. D. Burnham, “Coupled wave analysis of DFB and DBR lasers,” IEEE J. Quantum Electron. 13(4), 134–141 (1977).

[CrossRef]

F. Teixeira and W. Chew, “Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates,” IEEE Microw. Guid. Wave Lett. 7(11), 371–373 (1997).

[CrossRef]

H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antenn. Propag. 49(2), 185–195 (2001).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Unified approach for coupling to cladding and radiation modes in fiber Bragg and long-period gratings,” J. Lightwave Technol. 27(11), 1461–1468 (2009).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Improved full-vector finite-difference complex mode solver for optical waveguides of circular symmetry,” J. Lightwave Technol. 26(13), 1868–1876 (2008).

[CrossRef]

S. L. Lee, Y. Chung, L. A. Coldren, and N. Dagli, “On Leaky Mode Approximations for modal expansion in multilayer open waveguides,” IEEE J. Quantum Electron. 31(10), 1790–1802 (1995).

[CrossRef]

W. Streifer, D. R. Scifres, and R. D. Burnham, “Coupled wave analysis of DFB and DBR lasers,” IEEE J. Quantum Electron. 13(4), 134–141 (1977).

[CrossRef]

F. Teixeira and W. Chew, “Systematic derivation of anisotropic PML absorbing media in cylindrical and spherical coordinates,” IEEE Microw. Guid. Wave Lett. 7(11), 371–373 (1997).

[CrossRef]

D. B. Stegall and T. Erdogan, “Leaky cladding mode propagation in long-period fiber grating devices,” IEEE Photon. Technol. Lett. 11(3), 343–345 (1999).

[CrossRef]

Y. Koyamada, “Numerical analysis of core-mode to radiation-mode coupling in long-period fiber gratings,” IEEE Photon. Technol. Lett. 13(4), 308–310 (2001).

[CrossRef]

H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, “Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers,” IEEE Trans. Antenn. Propag. 49(2), 185–195 (2001).

[CrossRef]

J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114(2), 185–200 (1994).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Unified approach for coupling to cladding and radiation modes in fiber Bragg and long-period gratings,” J. Lightwave Technol. 27(11), 1461–1468 (2009).

[CrossRef]

H. Rogier and D. De Zutter, “Berenger and leaky modes in optical fibers terminated with a perfectly matched layer,” J. Lightwave Technol. 20(7), 1141–1148 (2002).

[CrossRef]

K. Jiang and W. P. Huang, “Finite-differene-based mode-matching method for 3-D waveguide structures under semivectorial approximation,” J. Lightwave Technol. 23(12), 4239–4248 (2005).

[CrossRef]

D. Vande Ginste, H. Rogier, and D. De Zutter, “Efficient computation of TM- and TE-polarized leaky modes in multilayered circular waveguides,” J. Lightwave Technol. 28(11), 1661–1669 (2010).

[CrossRef]

N. Song, J. W. Mu, and W. P. Huang, “Application of the Complex Coupled-Mode Theory to Optical Fiber Grating Structures,” J. Lightwave Technol. 28(5), 761–767 (2010).

[CrossRef]

T. Erdogan, “Fiber gratings spectra,” J. Lightwave Technol. 15(8), 1277–1294 (1997).

[CrossRef]

H. Patrick, A. Kersey, and F. Bucholtz, “Analysis of the response of long period fiber gratings to external index of refraction,” J. Lightwave Technol. 16(9), 1606–1612 (1998).

[CrossRef]

Y. Koyamada, “Analysis of core-mode to radiation-mode coupling in fiber Bragg gratings with finite cladding radius,” J. Lightwave Technol. 18(9), 1220–1225 (2000).

[CrossRef]

Y. C. Lu, L. Yang, W. P. Huang, and S. S. Jian, “Improved full-vector finite-difference complex mode solver for optical waveguides of circular symmetry,” J. Lightwave Technol. 26(13), 1868–1876 (2008).

[CrossRef]

T. Erdogan, “Cladding-mode resonances in short- and long-period fiber grating filters,” J. Opt. Soc. Am. A 14(8), 1760–1773 (1997) Errata: T. Erdogan, J. Opt. Soc. Am. A, 17(11), 2113–2113, (2000). Errata: Yinquan Yuan, J. Opt. Soc. Am. A, 26(10), 2199–2201, (2009).

[CrossRef]

W. P. Huang and J. W. Mu, “Complex coupled-mode theory for optical waveguides,” Opt. Express 17(21), 19134–19152 (2009).

[CrossRef]

Y. C. Lu, W. P. Huang, and S. S. Jian, “Full vector complex coupled mode theory for tilted fiber gratings,” Opt. Express 18(2), 713–726 (2010).

[CrossRef]
[PubMed]

J. Mu and W. P. Huang, “Simulation of three-dimensional waveguide discontinuities by a full-vector mode-matching method based on finite-difference schemes,” Opt. Express 16(22), 18152–18163 (2008).

[CrossRef]
[PubMed]

V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, “Chiral fiber gratings,” Science 305(5680), 74–75 (2004).

[CrossRef]
[PubMed]

R. E. Collin, Field Theory of Guided Waves, (A John Wiley & Sons. Inc., Publication, IEEE Press 1990), Chapter 1.

L. Yang and L. L. Xue, “Simplified Treatment for Radiation Mode in Coupled-mode Analysis”, ICMMT 2010, Chengdu, May, 2010.

J. R. Qian, “Coupled-mode theory,” Textbook for Graduation in University of Science and Technology of China.