Accurate determination of the quality factor and tunneling distance of axisymmetric resonators for biosensing applications

Cheema, M. Imran; Kirk, Andrew G.

doi:10.1364/oe.21.008724

Cited by 37 publications

(36 citation statements)

References 33 publications

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“…The three-dimensional (3D) problem is reduced to a 2D problem because of azimuthal symmetry of the cavity modes. Perfectly matched layers (PMLs) [29] are used to simulate power loss of the modes originating from the mounting substrate. The layers block unwanted reflections from the edges of the substrate taken into consideration in the code.…”

Section: B Numerical Modeling Of a Single-mode Wgm Cavitymentioning

confidence: 99%

Microcavity morphology optimization

et al. 2014

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High spectral mode density of conventional optical cavities is detrimental to the generation of broad optical frequency combs and to other linear and nonlinear applications. In this work we optimize the morphology of high-Q whispering gallery (WG) and Fabry-Perot (FP) cavities and find a set of parameters that allows treating them, essentially, as single-mode structures, thus removing limitations associated with a high density of cavity mode spectra. We show that both single-mode WGs and single-mode FP cavities have similar physical properties, in spite of their different loss mechanisms. The morphology optimization does not lead to a reduction of quality factors of modes belonging to the basic family. We study the parameter space numerically and find the region where the highest possible Q factor of the cavity modes can be realized while just having a single bound state in the cavity. The value of the Q factor is comparable with that achieved in conventional cavities. The proposed cavity structures will be beneficial for generation of octave spanning coherent frequency combs and will prevent undesirable effects of parametric instability in laser gravitational wave detectors.

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Section: B Numerical Modeling Of a Single-mode Wgm Cavitymentioning

confidence: 99%

Microcavity morphology optimization

et al. 2014

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“…5]). We verify the results of our numerical calculation by comparing them with the results obtained using an analytical equation based on spherical resonators, as performed in [24]. The analytical equation for the Q factor including the radiation losses for a spherical resonator is proposed in [26].…”

Section: Analysis Methodsmentioning

confidence: 69%

“…This model is referred to as the "closed model" in this paper. Then, we solve for the original model surrounded by perfectly matched layer (PML) domains [24] to calculate the Q factor using the specific target eigenfrequency obtained from the closed model. This second step model is referred to as the "open model".…”

Section: Analysis Methodsmentioning

confidence: 99%

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Cross-Sectional Optimization of Whispering-Gallery Mode Sensor With High Electric Field Intensity in the Detection Domain

Takezawa

Haraguchi

Okamoto

et al. 2014

IEEE J. Select. Topics Quantum Electron.

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Optimal cross-sectional shapes for whisperinggallery mode sensors with prescribed emission wavelengths and resonance modes are generated through topology optimization based on the finite element method. The sensor is assumed to detect the state of the domain surrounded by the sensor. We identified the integral of the square of the electric field intensity over the detection domain and the quality factor (Q factor), which should be maximized, as key values for the sensor sensitivity, representing the detection limit for the relative permittivity change of the test object. Based on this, the integral of the square of the electric field intensity over the detection domain and the Q factor are studied as the optimization targets. In our numerical study, their optimal configuration characteristics are identified and analyzed. The resulting device has a small radius, a small detection domain and a concave shape with a center located next to the detection domain. We also succeeded in performing simultaneous optimization of the integral of the square of the electric field intensity over the detection domain and the Q factor.

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“…In [30], the 2.5-D eigensolver was merged into a commercial FEM software, which greatly simplified the meshing, solving, and postprocessing procedure. Later, the PML implantation [31] and NFFFT [32] for this eigensolver were developed. These promoted a wide application of the 2.5-D eigensolver in correlated researches [31]- [36].…”

Section: Introductionmentioning

confidence: 99%

Extension and Optimization of the Axisymmetric 2.5-D Eigensolver: Toward Far-Field Calculations in Stratified Backgrounds

Zhang

Wang

2016

IEEE Trans. Antennas Propagat.

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We extend and optimize the axisymmetric 2.5-D eigensolver to calculate the far-field results of axisymmetric structures in stratified backgrounds (SBs), which is useful and practical for optical design and engineering. Two kinds of near-field-to-farfield transformations (NFFFTs) are proposed. One is called closedsurface transformation which is based on the dipole radiations in SBs. The other is called open-surface transformation which is based on the analytic continuation. This transformation can provide the far-field results of any axisymmetric structure (including backgrounds). The far-field results achieved by these two transformations are in good agreement with each other and with analytical ones. Moreover, in order to obtain accurate near-field results, we optimize the perfectly matched layer (PML) setting of the 2.5-D eigensolver. Corresponding optimization rules are proposed and discussed.

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Accurate determination of the quality factor and tunneling distance of axisymmetric resonators for biosensing applications

Cited by 37 publications

References 33 publications

Microcavity morphology optimization

Microcavity morphology optimization

Cross-Sectional Optimization of Whispering-Gallery Mode Sensor With High Electric Field Intensity in the Detection Domain

Extension and Optimization of the Axisymmetric 2.5-D Eigensolver: Toward Far-Field Calculations in Stratified Backgrounds

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