Efficient computation of resonant frequencies and quality factors of cavities via a combination of the finite-difference time-domain technique and the Pade approximation

1998 ◽  
Vol 8 (12) ◽  
pp. 415-417 ◽  
Author(s):  
S. Dey ◽  
R. Mittra
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Padé Approximation ◽  
Efficient Computation ◽  
Quality Factors ◽  
Pade Approximation ◽  
Resonant Frequencies ◽  
Difference Time

scholarly journals Enhanced Sensitivity of Microring Resonator-Based Sensors Using the Finite Difference Time Domain Method to Detect Glucose Levels for Diabetes Monitoring

2020 ◽  
Vol 10 (12) ◽  
pp. 4191
Author(s):  
Lilik Hasanah ◽  
Harbi Setyo Nugroho ◽  
Chandra Wulandari ◽  
Budi Mulyanti ◽  
Dilla Duryha Berhanuddin ◽  
...  
Keyword(s):  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Microring Resonator ◽  
Silicon On Insulator ◽  
Laser Source ◽  
Quality Factors ◽  
Simulation Design ◽  
Glucose Levels ◽  
Difference Time

The properties of light and its interaction with biological analytes have made it possible to design sophisticated and reliable optical-based biomedical sensors. In this paper, we report the simulation, design, and fabrication of microring resonator (MRR)-based sensors for the detection of diabetic glucose levels. Electron Beam Lithography (EBL) with 1:1 hydrogen silsesquioxane (HSQ) negative tone resist were used to fabricate MRR on a Silicon-on-Insulator (SOI) platform. Scanning Electron Microscopy (SEM) was then used to characterize the morphology of the MRR device. The full-width at half-maximum (FWHM) and quality factors of MRR were obtained by using a tunable laser source (TLS) and optical spectrum analyzer (OSA). In this paper, the three-dimensional Finite Difference Time Domain (3D FDTD) approach has been used to simulate the proposed design. The simulation results show an accurate approximation with the experimental results. Next, the sensitivity of MRR-based sensors to detect glucose levels is obtained. The sensitivity value for glucose level detection in the range 0% to 18% is 69.44 nm/RIU. This proved that our MRR design has a great potential as a sensor to detect diabetic glucose levels.

Padé Approximation Method for FDTD Modeling of Wave Propagation in Dispersive Media

2012 ◽  
Vol 268-270 ◽  
pp. 1585-1588
Author(s):  
Wei Chen
Keyword(s):  
Wave Propagation ◽  
Approximation Method ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Padé Approximation ◽  
Fdtd Method ◽  
Dispersive Media ◽  
Pade Approximation ◽  
Air Muscle ◽  
Difference Time

A finite-difference time-domain (FDTD) method for simulating wave propagation in Cole-Cole dispersive media was presented. The main difficulty of the proposed way was the appearance of fractional time derivatives in the FDTD equation. The Padé approximation method was employed to solve this problem. The expansion of the fractional time derivatives could deal with this model. The comparison of analytical and calculated the reflection of a plasma proves the validity of the method. Then apply this method to calculate the reflection of the air-muscle interface.

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