Abstract

An in-plane liquid gradient index (L-GRIN) microlens is designed for dynamically adjusting the beam focusing. The ethylene glycol solution (core liquid) withde-ionized (DI) water (cladding liquid) is co-injected into the lens chamber to form a gradient refractive index profile. The influences of the diffusion coefficient, mass fraction of ethylene glycol and flow rate of liquids on the refractive index profile of L-GRIN microlens are analyzed, and the finite element method and ray tracing method are used to simulate the convection-diffusion process and beam focusing process, which is helpful for the prediction of focusing effects and manipulation of the device. It is found that not only the focal length but the focal spot of the output beam can be adjusted by the diffusion coefficient, mass fraction and flow rate of liquids. The focal length of the microlens varies from 942 to 11 μm when the mass fraction of the ethylene glycol solution varies from 0.05 to 0.4, and the focal length changes from 127.1 to 8 μm by varying the flow rate of the core liquid from 0.5 × 103 to 5 × 103 pL/s when there is no slip between the core and cladding inlet. The multiple adjustable microlens with a simple planar microfluidic structure can be used in integrated optics and lab-on-chip systems.

Highlights

  • Tunable microlenses are widely used in microfluidic or lab-on-chip systems [1] due to their fine tuning of the light

  • Tcohnecrenfotrea,titohne afoncdalthleengfltohwofrathteeoLf -tGheRIlNiqumidicsr.oHleenrseicnaanftbeer,tuthneedcobnyceandtjruasttiionng othfethceonectehnytlreanteiognlyacnodl solution is altered through changing the mass fraction of the ethylene glycol solution

  • In order to analyze the influence of the flow rate of the liquids on the focal length of the liquid gradient index (L-GRIN) microlens, the ethylene glycol solution is co-injected with DI water into the lens chamber at the same flow rate ranging from 0.5 ˆ 103 to 5 ˆ 103 pL/s

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Summary

Introduction

Tunable microlenses are widely used in microfluidic or lab-on-chip systems [1] due to their fine tuning of the light. In-plane-focusing tunable microlens are, proven to be preferable in integrative devices, which can be fabricated and seamlessly integrated with other on-chip fluidic and optical components such as a lab-on-a-chip lasers [18] and optical waveguides [19] It has inspired the creation of a variety of innovative devices controlled by flow rates and liquid compositions, and variable light focusing was measured and shown, but the quantitative relation between liquid parameters and focal length has not been demonstrated clearly. An in-plane tunable beam focusing is achieved using a simple planar microfluidic structure; in addition, with the simulation of the convection and diffusing process, the ray tracing method gives us approaches to predict the focusing effect of an L-GRIN microlens

Structure and Principle of L-GRIN Micrlens
TheRefractive Index Profile of the L-GRIN Microlens
The Adjustment of the Focal Spot of the L-GRIN Microlens
Conclusions
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