Table 3 Design parameters of the simulated Si\(_x\)N\(_y\)–Si\(_3\)N\(_4\) GCs for a 400 nm thick Si\(_3\)N\(_4\) photonic platform with Si\(_x\)N\(_y\) and Si\(_3\)N\(_4\) as top layer materials.

From: Highly efficient dual-level grating couplers for silicon nitride photonics

Initial parameters

Particle swarm optimization results

\(h_{1}\) (nm)

\(n_2\)

B (\(\upmu\)m)

e (nm)

\(h_2\) (nm)

\(R_1\) (\(\upmu\)m\(^{-1}\))

\(R_2\) (\(\upmu\)m\(^{-1}\))

\(\Lambda\) (nm)

s (nm)

T [\(\upmu\)m]

\(\theta\)

\(z_f\) (\(\upmu\)m)

400

3.3

3

245

74

0.0395

0.0405

942

67

0.48

1.8

7.2

400

3.1

3

245

88

0.0395

0.0415

941

57

0.48

1.8

7.2

400

2.9

3

245

109

0.0390

0.0410

941

48

0.47

1.7

7.3

400

2.7

3

240

139

0.0440

0.0400

941

32

0.47

1.7

7.1

400

2.5

3

240

165

0.0410

0.0420

940

20

0.47

1.7

7.1

400

2.3

3

230

188

0.0345

0.0375

937

20

0.45

1.3

8

400

2.1

3

230

242

0.0295

0.0380

938

20

0.37

1.3

8.3

400

2

3

230

287

0.0295

0.0375

939

20

0.31

1.3

8.3