Self-collimating photonic crystal antireflection structure for both TE and TM polarizations

Park, Jong; Lee, Sun-Goo; Park, Hae-Ryeong; Lee, Myung‐Hyun

doi:10.1364/oe.18.013083

Cited by 26 publications

(17 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Implementing such methods requires a substantial investment of time and expertise, which presents a significant barrier to adoption of PC impedances. Indeed, since publication of Papers 2.1 and 2.3, a number of scalar impedance definitions and coating design techniques have been proposed or applied that are less powerful than ours, but that are easier to calculate with generic tools [62,150].…”

Section: Impedance Extraction From Field Scattering Datamentioning

confidence: 99%

Photonic-crystal surface modes found from impedances

et al. 2010

View full text Add to dashboard Cite

We present a rigorous definition of a wave impedance for 2D rectangular and triangular lattice photonic crystals (PCs), in the form of a matrix. Reflection and transmission at an interface between PCs can be represented by matrices that relate the Bloch mode (eigenmode) amplitudes in the two PCs; we show that these matrices, which are multi-mode generalisations of reflection and transmission coefficients, may be calculated from the PCs' impedances that we define.Given the impedances and Bloch factors (propagation constants) of a collection of PCs, the reflection and transmission properties of arbitrary stacks of these PCs may be calculated efficiently using a few matrix operations. Therefore our definition enables PC-based antireflection coatings to be designed efficiently: some computationally expensive simulations are required in an initial step to find a range of PCs' impedances, but then the reflectances of every coating that consists of a stack of these PCs can be calculated without any further simulations.We first define the PC impedance from the transfer matrix of a single PC layer (i.e., a grating). Since transfer matrix methods are not especially widespread, we also present a method and associated source code to extract a PC's propagating and evanescent Bloch modes from a scattering calculation that can be performed by any off-the-shelf field solver, and to calculate impedances from the extracted modal fields.Finally, we put our method to use. We apply it to design antireflection coatings, nearly eliminating reflection at a single frequency for one or both polarisations, or lowering it across a larger bandwidth. We use it to find surface modes at interfaces between PCs and air, and their projected band structures. We use the impedance to define effective parameters for PC homogenisation, and we briefly describe how our definition has been used to dispersion engineer a PC waveguide. Statement of contribution for joint author publicationsLawrence, F. J. et al. "Antireflection coatings for two-dimensional photonic crystals using a rigorous impedance definition". Appl. Phys. Lett. 93, 1114Lett. 93, (2008 This Letter is partially based on work done in FL's Honours year, and partially on work done during his PhD. Most of the software used was provided by KD and LB, and FL extended it in collaboration with them. In FL's PhD he extended the software implementation of the method (with help from KD and LB) to support non-normal incidence and frequencies above the first Wood anomaly. FL wrote the letter, which was heavily edited and proofread by MdS, KD, and LB.Lawrence, F. J. et al. "Impedance of square and triangular lattice photonic crystals". Phys. Rev. A 80, 23826 (2009) The suggestion of generalising the method to triangular lattices was made by FL's supervisors. LB supplied the orthogonality relations, which as noted in the paper are from previous work, and FL worked out how to use these to define the impedance for these structures. LB suggested the final notation used in the paper. Taking the Ma...

show abstract

Section: Impedance Extraction From Field Scattering Datamentioning

confidence: 99%

Photonic-crystal surface modes found from impedances

et al. 2010

View full text Add to dashboard Cite

show abstract

“…Reflections from interfaces can be reduced by some methods, such as surface modification, impedance matching, [28][29][30] or using other methods already thoroughly studied before. Reflections from interfaces can be reduced by some methods, such as surface modification, impedance matching, [28][29][30] or using other methods already thoroughly studied before.…”

Section: Dispersion and Propagation Propertiesmentioning

confidence: 99%

All-angle self-collimation in two-dimensional square array photonic crystals based on index contrast tailoring

2015

View full text Add to dashboard Cite

A comprehensive study has been performed to achieve all-angle self-collimation in basic two-dimensional square array photonic crystals with cylindrical scatterers. Based on plane wave expansion and finite difference time domain analysis for both rod-and hole-type structures, we report on all-angle self-collimation (SC) in the first band of the structure, which results in loss suppression due to out-of-plane scatterings. A lower threshold for index contrast has been obtained to achieve all-angle SC, which offers more design flexibility regarding structural parameters. Furthermore, it has been shown that a minimum and maximum coupling efficiency enhancement of ∼40% and 80% can be achieved for the proposed structure, respectively, by introducing a row of scatterers with proper radius at the input and the output air/photonic crystal interfaces. Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 05/16/2015 Terms of Use: http://spiedl.org/terms Optical Engineering 037111-2 March 2015 • Vol. 54(3) Noori, Soroosh, and Baghban: All-angle self-collimation in two-dimensional square array photonic crystals. . . Downloaded From: http://opticalengineering.spiedigitallibrary.org/ on 05/16/2015 Terms of Use: http://spiedl.org/terms Mina Noori received her BS and MS degrees in electronics engineering (optical integrated circuits) from University of Tabriz, Iran, in 2010 and 2012, respectively. She is currently working toward her PhD degree at Shahid Chamran University, Ahvaz, Iran, and her current research interest includes photonic crystal devices and structures. Mohammad Soroosh received his MS and PhD degrees in electronics engineering from Tarbiat Modares University, Tehran,

show abstract

“…SC is a research hot spot in PCs, a dispersion phenomenon which results in diffraction‐free, beam‐like propagation of light without the need for any physical guiding boundaries . SC, also called self‐guiding or super‐collimation, as an alternative method to guide photons in PCs, stems from the dispersion relation of PCs and is an in‐band phenomenon in which incident light propagates with almost no diffraction . Figure generally represents different possible diffractions in materials …”

Section: Introductionmentioning

confidence: 99%

“…However, other properties are required to be merged with the SC phenomenon to achieve highly efficient and more practical backbone for future OICs . It is still of great importance to discover methods to couple the beam more efficiently from an optical fiber to SC‐based optical circuits . Additionally, providing all‐angle, and polarization‐insensitive properties in a broad bandwidth makes SC‐based substrates more appropriate for OICs …”

Section: Introductionmentioning

confidence: 99%

Self‐Collimation in Photonic Crystals: Applications and Opportunities

2017

View full text Add to dashboard Cite

A comprehensive review considering recent advances in self-collimation and its applications in optical integration is covered in the current article. Self-collimation is compared to the conventional technique of photonic bandgap engineering to control the light propagation in photonic crystal-based structures. It is fully discussed how the self-collimation phenomenon can be tailored to be independent of the incident angle and polarization. This adds substantial flexibility to the structure to overcome light coupling challenges and simultaneously aids in the omission of bulk and challenging elements, including polarizers and lenses from optical integrated circuits. Additionally, designed structures have the potential to be rescaled to operate in any desired frequency range thanks to the scalability rule in the field of electromagnetics. Moreover, it is shown that one can boost the coupling efficiency by applying an anti-reflection property to the structure, which provides not only efficient index matching but also the matching between external waves with uniform amplitude and Bloch waves with periodic amplitude.

show abstract

Self-collimating photonic crystal antireflection structure for both TE and TM polarizations

Cited by 26 publications

References 26 publications

Photonic-crystal surface modes found from impedances

Photonic-crystal surface modes found from impedances

All-angle self-collimation in two-dimensional square array photonic crystals based on index contrast tailoring

Self‐Collimation in Photonic Crystals: Applications and Opportunities

Contact Info

Product

Resources

About