Designing whispering gallery modes via transformation optics

Kim, Yushin; Lee, Sang Yup; Ryu, Jung-Wan; Kim, Inbo; Han, Jae-Hyung; Tae, Heung‐Sik; Choi, Muhan; Min, Bumki

doi:10.1038/nphoton.2016.184

Cited by 58 publications

(50 citation statements)

References 32 publications

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“…In order to confirm the validity of our BEM, we compared the results of BEM with that of the corresponding simulation performed by COMSOL Multiphysics v.5.3, a commercial FEM-based electromagnetic solver. In Figure 3, we depict the normalized values of | ⊥ | 2 and | | 2 along the arc length normalized with total arc length for a resonant mode, (14,1) with the complex wave number = 9.785 − 0.00158 and one can see that the two results match almost exactly. The (14,1) cWGM has a high-Q factor ( ≈ 3097) because of the evanescent leakage by TIR.…”

Section: Numerical Calculation In Limaçon-shaped Transformation Cavimentioning

confidence: 84%

“…Thus, we replace the outside inhomogeneous index with 1, i.e., the refractive index of air, as shown in Figure 1(c) and then call the same cavity a transformation cavity (TC) in the physical space, which has gradually varying refractive index profile, ( , ) in the interior region of the cavity according to Eq. (2.10) [14]. In other words, conformal mapping is only applied to the interior region (Ω ) of the cavity in the OV space to obtain a TC in the physical space.…”

Section: Boundary Element Methods For Resonant Modes In Transformationmentioning

confidence: 99%

“…For this case of conformal TO, let us consider an infinitely-long cylindrical dielectric cavity with a circular cross section in the OV space ( Figure 1(a)) from which cylindrical cavity with a deformed cross section in a WT space (Figure 1(b)) can be obtained by a conformal mapping, taking -axis and -axis along the length of the cylinder [14,19]. For the transverse magnetic (TM) polarized mode of the cylindrical cavity, only the -component, ′ among the components of electric field is non-zero, i.e., ′ = ′ ẑ, ′ • ẑ = 0, so Eq.…”

Section: Grin Cavities Designed By Conformal Transformation Opticsmentioning

confidence: 99%

“…Using the BEM formulated in the previous section, we obtained TM resonances when = 0.15, 0 = 1.8, and = 0.769. The positive scaling factor is introduced to obtain anisotropic WGMs supported by TIR which is called conformal Whispering Gallery Mode (cWGM) [14]. The condition for TIR in generic TCs is given by | / | −1 ≥ 1; in this case, the condition becomes ≤ = 1/(1 + 2 ) and we use = which is the minimal condition for TIR.…”

Section: Numerical Calculation In Limaçon-shaped Transformation Cavimentioning

confidence: 99%

“…To date, many studies in TO have mainly been focused on devices enabling the control of light path, such as invisibility cloaks, flat Luneburg lenses [11,12], and waveguide bends [13], to name a few. In addition to these applications of TO, recently Kim et al have suggested that TO can be exploited to the design of two-dimensional (2D) optical dielectric cavities [14]. They have designed a new type of gradient index (GRIN) resonator called transformation cavity (TC) by using conformal TO and showed that high-Q anisotropic whispering gallery modes (WGMs) exhibiting desired directional emissions can be formed.…”

Section: Introductionmentioning

confidence: 99%

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Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics

Ryu

Cho

Lee

et al. 2019

Sci Rep

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In the case of two-dimensional gradient index cavities designed by the conformal transformation optics, we propose a boundary integral equation method for the calculation of resonant mode functions by employing a fictitious space which is reciprocally equivalent to the physical space. Using the Green’s function of the interior region of the uniform index cavity in the fictitious space, resonant mode functions and their far-field distributions in the physical space can be obtained. As a verification, resonant modes in limaçon-shaped transformation cavities were calculated and mode patterns and far-field intensity distributions were compared with those of the same modes obtained from the finite element method.

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Section: Numerical Calculation In Limaçon-shaped Transformation Cavimentioning

confidence: 84%

Section: Boundary Element Methods For Resonant Modes In Transformationmentioning

confidence: 99%

Section: Grin Cavities Designed By Conformal Transformation Opticsmentioning

confidence: 99%

Section: Numerical Calculation In Limaçon-shaped Transformation Cavimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics

Ryu

Cho

Lee

et al. 2019

Sci Rep

Self Cite

View full text Add to dashboard Cite

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Progress and Opportunities in Soft Photonics and Biologically Inspired Optics

2017

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Optical components made fully or partially from reconfigurable, stimuli-responsive, soft solids or fluids-collectively referred to as soft photonics-are poised to form the platform for tunable optical devices with unprecedented functionality and performance characteristics. Currently, however, soft solid and fluid material systems still represent an underutilized class of materials in the optical engineers' toolbox. This is in part due to challenges in fabrication, integration, and structural control on the nano- and microscale associated with the application of soft components in optics. These challenges might be addressed with the help of a resourceful ally: nature. Organisms from many different phyla have evolved an impressive arsenal of light manipulation strategies that rely on the ability to generate and dynamically reconfigure hierarchically structured, complex optical material designs, often involving soft or fluid components. A comprehensive understanding of design concepts, structure formation principles, material integration, and control mechanisms employed in biological photonic systems will allow this study to challenge current paradigms in optical technology. This review provides an overview of recent developments in the fields of soft photonics and biologically inspired optics, emphasizes the ties between the two fields, and outlines future opportunities that result from advancements in soft and bioinspired photonics.

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Controlling the Output of Organic Micro/Nanolasers

Dong

Zhang

Zhao

2019

Advanced Optical Materials

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Organic micro/nanolasers hold a promising potential in advancing the fields of photonics and optoelectronics. Recently, great progress has been made in designing and controlling the output characteristics of organic micro/nanolasers, which significantly expands the capabilities and improves the performance of micro/nanolasers. In this Progress Report, the design philosophy, research progress, and further research directions in manipulating the output behaviors of organic micro/nanolasers are presented. A brief introduction to the fundamentals of the organic micro/nanolasers is given with an emphasis on the basic principle for laser output control. Various organic micro/nanolasers with desired output are discussed in detail, including wavelength tunable lasers, multiwavelength lasers, mode controllable lasers, and directional lasers. Special emphasis is put on gaining insight into the structure–property relationship in the controllable organic micro/nanolasers. Finally, future research directions and challenges toward more advanced control strategies of organic micro/nanolasers are provided to give an outlook on this emerging field.

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Designing whispering gallery modes via transformation optics

Cited by 58 publications

References 32 publications

Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics

Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics

Progress and Opportunities in Soft Photonics and Biologically Inspired Optics

Controlling the Output of Organic Micro/Nanolasers

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