📄 tri-holes.ctl
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; 2d system: triangular lattice of air holes in dielectric; This structure has a complete band gap (i.e. a gap in both TE and TM; simultaneously) for a hole radius of 0.45a and a dielectric constant of; 12. (See, e.g., the book "Photonic Crystals" by Joannopoulos et al.); first, define the lattice vectors and k-points for a triangular lattice:(set! geometry-lattice (make lattice (size 1 1 no-size) (basis1 (/ (sqrt 3) 2) 0.5) (basis2 (/ (sqrt 3) 2) -0.5)))(define-param kz 0) ; use non-zero kz to consider vertical propagation(set! k-points (list (vector3 0 0 kz) ; Gamma (vector3 0 0.5 kz) ; M (vector3 (/ -3) (/ 3) kz) ; K (vector3 0 0 kz))) ; Gamma(define-param k-interp 4)(set! k-points (interpolate k-interp k-points)); Now, define the geometry, etcetera:(define-param eps 12) ; the dielectric constant of the background(define-param r 0.45) ; the hole radius(set! default-material (make dielectric (epsilon eps)))(set! geometry (list (make cylinder (center 0) (material air) (radius r) (height infinity))))(set-param! resolution 32)(set-param! num-bands 8)(if (= kz 0) (begin (run-te) (run-tm)) (run)) ; if kz != 0 there are no purely te and tm bands
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