Design and Analysis of High-Index-Contrast Gratings Using Coupled Mode Theory

We analyze high-refractive-index-contrast subwavelength grating structures using truncated coupled mode theory (CMT). CMT not only provides physical insight into the role of each mode in the overall response but also allows for improved design. An analytic expression is derived for the design of broadband reflectors, providing a near-optimal design that is within 0.08% of the maximum broadband reflectivity calculated by the finite-difference time-domain method. Furthermore, the CMT is used to design a high-quality narrow-band reflector with 28% improved quality factor over previously reported results, as quantified by rigorous coupled wave analysis.

[1]  J. Joannopoulos,et al.  Temporal coupled-mode theory for the Fano resonance in optical resonators. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  A. Yariv.  Coupled-mode theory for guided-wave optics , 1973 .

[3]  E. Loewen,et al.  Diffraction Gratings and Applications , 2018 .

[4]  Bragg grating based biochemical sensor using submicron Si/SiO2 waveguides for lab-on-a-chip applications: a novel design. , 2009, Applied optics.

[5]  Cagri A. Savran,et al.  In situ assembled diffraction grating for biomolecular detection , 2007 .

[6]  W. Marsden.  I and J , 2012 .

[7]  F. Kneubühl,et al.  Diffraction grating spectroscopy. , 1969, Applied optics.

[8]  B. T. Meggitt,et al.  Optical Fiber Sensor Technology , 1999 .

[9]  Y. Suzuki,et al.  Broad-band mirror (1.12-1.62 /spl mu/m) using a subwavelength grating , 2004, IEEE Photonics Technology Letters.

[10]  M. Moewe,et al.  High-Index-Contrast Grating (HCG) and Its Applications in Optoelectronic Devices , 2009, IEEE Journal of Selected Topics in Quantum Electronics.

[11]  K. Hane,et al.  High efficient light-emitting diodes with antireflection subwavelength gratings , 2002, IEEE Photonics Technology Letters.

[12]  S. Davis,et al.  Diffraction grating spectrographs , 1970 .

[13]  Lukas Chrostowski,et al.  DBR, Sub-wavelength grating, and Photonic crystal slab Fabry-Perot cavity design using phase analysis by FDTD. , 2007, Optics express.

[14]  C. Chang-Hasnain,et al.  Ultrabroadband mirror using low-index cladded subwavelength grating , 2004, IEEE Photonics Technology Letters.

[15]  Wei-Ping Huang,et al.  Complex coupled-mode theory for optical waveguides. , 2009, Optics express.

[16]  J. Bengtsson,et al.  Design and evaluation of fundamental-mode and polarization-stabilized VCSELs with a subwavelength surface grating , 2006, IEEE Journal of Quantum Electronics.

[17]  R. A. Waldron.  THE THEORY OF COUPLED MODES , 1965 .

[18]  M. Amann,et al.  Polarization Control in Buried Tunnel Junction VCSELs Using a Birefringent Semiconductor/Dielectric Subwavelength Grating , 2010, IEEE Photonics Technology Letters.

[19]  D. Whittaker,et al.  Scattering-matrix treatment of patterned multilayer photonic structures , 1999 .

[20]  R. Baets,et al.  First demonstration of highly reflective and highly polarization selective diffraction gratings (GIRO-gratings) for long-wavelength VCSELs , 1998, IEEE Photonics Technology Letters.

[21]  Thomas K. Gaylord,et al.  Rigorous coupled-wave analysis of metallic surface-relief gratings , 1986 .

[22]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[23]  J. R. Pierce,et al.  Coupling of Modes of Propagation , 1954 .

[24]  B. T. Meggitt,et al.  Optical fiber sensor technology : advanced applications-bragg gratings and distributed sensors , 2000 .