Table 1 Simulation parameters of dual-layer liquid crystal Pancharatnam-Berry lens

From: Intensity-tunable achromatic cascade liquid crystal Pancharatnam-Berry lens

Layer1(d’ = 2.48 μm) : θ‘ (x, y, 396.8 nm); Layer2(d = 3.018 μm) : θ (x, y, 1064 nm)

Layer1(d’ = 2.48 μm): −θ‘ (x, y, 396.8 nm); Layer2(d = 3.018 μm): θ (x, y, 1064 nm)

Incident wavelength

(nm)

1064

396.8

632.8

1064

632.8

396.8

1064

\({\Delta n}_{{eff}}^{{\prime} }\)

0

0.24

0.1275

0.107

0

0

0.107

\({\Delta n}_{{eff}}\)

0.1763

0

0.1047

0.088

0.1763

0.1763

0.088

\(\sin \frac{{\delta }^{{\prime} }}{2}\cos \frac{\delta }{2}\)

0

1

0

0.49

0

0

0.49

\(\sin \frac{{\delta }^{{\prime} }}{2}\sin \frac{\delta }{2}\)

0

0

1

0.49

0

0

0.49

\(\sin \frac{\delta }{2}\cos \frac{{\delta }^{{\prime} }}{2}\)

1

0

0

0.49

0.48

0.8773

0.49

Fig. 2 results

b

c

d

f

i

j

g