Level Set Photonic Quasicrystals with Phase Parameters

• Published in: Advanced functional materials Vol. 22; no. 6; pp. 1150 - 1157
• Main Authors: Jia, Lin, Bita, Ion, Thomas, Edwin L.
• Format: Journal Article
• Language: English
• Published: Weinheim WILEY-VCH Verlag 21.03.2012; WILEY‐VCH Verlag
• Subjects: metamaterials; microstructures; photonic crystals; photonics; structure-property relationships
• ISSN: 1616-301X; 1616-3028
• DOI: 10.1002/adfm.201101804

A systematic study of the photonic band gap (PBG) properties of 8‐, 10‐ and 12‐fold rotational symmetric quasicrystals (QCs) defined by level set equations with various phase parameters is reported. The optimized filling ratios corresponding to the largest PBGs for 19 types of QCs are found, which are useful for photonic QC fabrication design. The impact of filling ratio, rotational symmetry, and experimental fabrication parameters on the resultant PBGs are studied via PBG maps calculated by finite‐difference time‐domain (FDTD). Large area, high quality 8‐, 10‐, and 12‐fold quasicrystalline pattern fabrication using multiple exposure interference lithography (MEIL) is also demonstrated. A 10‐fold rotational symmetric quasicrystal pattern can be fabricated by multiple exposure interference lithography. The photonic band gap of the structure is calculated via finite difference time domain. The impacts of the rotational symmetry, filling ratio, and phase parameter on the photonic band gap are discussed.