How to load a crystal from the Zoo

Namespaces

The Peacock.Zoo module contains functions to generate some of the photonic crystals that I have studied. To avoid polluting the global namespace, these functions are only accessible after calling using Peacock.Zoo, or by calling each function as Peacock.Zoo.name.

Unpacking parameters

Each make_* function returns a NamedTuple containing the geometry, solver, polarisation, and high symmetry $k$-points of the crystal. You can use the @unpack macro from the Parameters module to extract the variables held in the NamedTuple.

For example, the topological photonic crystal first introduced by Wu et al 2015 can be generated using make_wu_topo.

using Parameters  # for the `@unpack` macro

# Load photonic topological insulator from Wu et al 2015
@unpack geometry, solver, polarisation, G, K, M = make_wu_topo(fourier_space_cutoff)

# Preview the crystal
plot(geometry)

Available crystals

Peacock.Zoo.make_dePaz — Method

make_dePaz(d1::Real, d2::Real, cutoff::Int; R::Real=1/3)

Reproduces "Engineering fragile topology in photonic crystals: Topological quantum chemistry of light", Blanco de Paz et al, 2019

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_dePaz_OAL — Method

make_dePaz_OAL(cutoff::Int)

Reproduces the obstructed atomic limit (d1=0.4, d2=0.61) crystal from "Engineering fragile topology in photonic crystals: Topological quantum chemistry of light", Blanco de Paz et al, 2019

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_dePaz_frag — Method

make_dePaz_frag(cutoff::Int)

Reproduces the trivial (d1=0.4, d2=0.13) crystal from "Engineering fragile topology in photonic crystals: Topological quantum chemistry of light", Blanco de Paz et al, 2019

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_dePaz_triv — Method

make_dePaz_triv(cutoff::Int)

Reproduces the trivial (d1=0.52, d2=0.31) crystal from "Engineering fragile topology in photonic crystals: Topological quantum chemistry of light", Blanco de Paz et al, 2019

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_wu — Method

make_wu(a0_div_R, cutoff)

Reproduces "Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material", Wu et al, 2015.

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_wu_primitive — Method

make_wu_primitive(cutoff)

Reproduces the primitive unit cell of "Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material", Wu et al, 2015

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_wu_topo — Method

make_wu_topo(cutoff::Int)

Reproduces the topological crystal (a0_div_R=2.9) from "Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material", Wu et al, 2015.

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_wu_triv — Method

make_wu_topo(cutoff::Int)

Reproduces the trivial crystal (a0divR=3.125)from "Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material", Wu et al, 2015.

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_xu — Method

make_xu(r1, r2, cutoff; wedges=[(0,360)])

Reproduces "Accidental degeneracy in photonic bands and topological phase transitions in two-dimensional core-shell dielectric photonic crystals", Xu et al, 2016.

The rings can be split using wedges = [(start,stop), (start,stop)...].

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source

Peacock.Zoo.make_zhu — Method

make_zhu(r, l, cutoff; angles=[60n for n in 0:5])

Reproduces "Topological transitions in continuously deformed photonic crystals" Zhu et al, 2018.

r is the radius of the cylindrical air holes.
l is the radius of the hexagonal ring that the air holes form

Note that 'l' in Zhu et al is the same as 'R' in wu_ep.

Returns a NamedTuple of geometry, solver, polarisation, and the G, M, K high-symmetry points.

source