Research Note

Geometric field tracing through GRIN media and fibers (II)

Huiying Zhong

The damping of the media, which is represented by the imaginary part of complex refractive index, affects the electromagnetic field when it travels along the ray path. In previous research, the effect is not explicitly discussed...[more]

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The damping of the media, which is represented by the imaginary part of complex refractive index, affects the electromagnetic field when it travels along the ray path. In previous research, the effect is not explicitly discussed or even neglected. In this report, we propose the mathematical solusion of equation of ray path and normlized field in GRIN media with damping.

Citation: ZHONG, H., ZHANG, S. and WYROWSKI, F., "Geometric field tracing through GRIN media and fibers (II)", www.applied-computational-optics.org, 21.10.2015

 

 


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Simulation Example

Geometric field tracing through GRIN media and fibers (I)

Huiying Zhong

Ray path and optical path length can be calculated with the ray equation for graded-index media using Runge-Kutta method till the 4th order(RK4). [1, 2] The polarization state can be calculated from equation of polarization,...[more]

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Ray path and optical path length can be calculated with the ray equation for graded-index media using Runge-Kutta method till the 4th order(RK4). [1, 2] The polarization state can be calculated from equation of polarization, which is derived from Maxwell equations combining the approximation of geometrical optics. [3] The amplitude can be calculated by intensity law of geometrical optics [4]. After both polarization and amplitude are known, the vectorial field along rays can be calculated. Combining with the proper interpolation method, vectorial field within GRIN or fibers (3D) is known everywhere. In this report, we focus on the calculation of polarization state along rays by using RK4.

Citation: ZHONG, H., ZHANG, S. and WYROWSKI, F., "Geometric field tracing

through GRIN media and fibers (I)", www.applied-computational-optics.org, 21.10.2015

 

 


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Research Note

Use of perfectly matched layers in free space propagation to eliminate aliasing

Rui Shi

We propose a method to add Perfectly Matched Layers(PMLs) at the lateral sides of the computation window by complex coordinate transformation. It modifies the Helmholtz equation from which the rigorous numerical solution of...[more]

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We propose a method to add Perfectly Matched Layers(PMLs) at the lateral sides of the computation window by complex coordinate transformation. It modifies the Helmholtz equation from which the rigorous numerical solution of Spectrum Plane Wave with PMLs(SPW_PMLs) method is derived. The numerical experiment results are compared with the traditional SPW, which achieve good agreement. It shows that SPW_PMLs method performs well when simulating the highly divergent beams.

Citation: Rui.Shi and F. WYROWSKI, "Use of perfectly matched layers in free space propagation to eliminate aliasing", www.applied-computational-optics.org, 24.09.2015

 

 

 


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Research Note

Application example of the smooth field decomposition: modelling the interaction of a plane wave with a diffracting obstacle

Olga Baladron-Zorita

In this work, the authors present a particular example of how the smooth field decomposition may be used in certain systems to improve the numerical efficiency of the simulation. Citation: O. BALADRON-ZORITA, H. ZHONG, M. KUHN...[more]

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In this work, the authors present a particular example of how the smooth field decomposition may be used in certain systems to improve the numerical efficiency of the simulation.

Citation: O. BALADRON-ZORITA, H. ZHONG, M. KUHN and F. WYROWSKI, "Application example of the smooth field decomposition: modelling the interaction of a plane wave with a diffracting obstacle", www.applied-computational-optics.org, 22.09.2015

 


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Research Note

Light propagation through etalons and other components with internal multiple reflections

Zongzhao Wang

Components, e.g. Fabry-Perot interferometer, with internal multiple reflections play an important role in laser technology. Its optical functionality is based on multiple reflections inside the component and the interference...[more]

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Components, e.g. Fabry-Perot interferometer, with internal multiple reflections play an important role in laser technology. Its optical functionality is based on multiple reflections inside the component and the interference effect. In this paper, two electromagnetic concepts that allow the modeling of such components for general incident light are proposed.

Citation: Zongzhao Wang, Site Zhang and Frank Wyrowski, "Light propagation through etalons and other components with internal multiple reflections", www.applied-computational-optics.org, 21.09.2015

 


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