#### Table I

Reciprocity Check for a Square Capacitive Mesh with c/d = c′/d = 0.724, n = 2, and kd = 10

δ | δ′ | (i′) | LHS | RHS |
---|

0 | 0 | (a) | 0.02527 | (−92.52) | 0.02527 | (−92.49) |

0 | π/2 | (a) | 0.04000 | (79.13) | 0.03999 | (79.14) |

π/2 | 0 | (a) | 0.02745 | (−90.15) | 0.02746 | (−90.14) |

π/2 | π/2 | (a) | 0.02839 | (−100.87) | 0.02838 | (−100.85) |

0 | 0 | (d) | 0.07379 | (−92.52) | 0.07380 | (−92.49) |

0 | π/2 | (d) | 0.07998 | (79.13) | 0.07998 | (79.14) |

π/2 | 0 | (d) | 0.08017 | (−90.15) | 0.08020 | (−90.14) |

π/2 | π/2 | (d) | 0.05678 | (−100.87) | 0.05677 | (−100.85) |

Note: Problem I is characterized by

ϕ = 10°,

ψ = 180°. Problem II corresponds to returning the (−1,−1) order of problem I. Results are shown for all combinations of the principal polarizations

δ,

δ′ and for the cases where the diffracted order is returned from air and from the dielectric. The complex values representing both sides of

Eq. (21) are given in polar form with the phase in parentheses. These calculations were made using 1010 plane wave orders and 80 current modes.

#### Table II

Comparison of Results Produced by our Square Capacitive Mesh Program with Those Produced by an Earlier Square Inductive Mesh Program,2,10 for a Mesh with c/d = c′/d = 0.724 in Free Space and a Normally incident Plane Wave with λ/d = 0.9

(p,q) |
${T}_{pq}^{\left(\text{cap}\right)}$ |
${R}_{pq}^{\left(\text{ind}\right)}$ |
---|

(0,0) | 0.1521 | 0.1525 |

(0,1) | 0.0499 | 0.0500 |

(1,0) | 0.0631 | 0.0630 |

(0,−1) | 0.0499 | 0.0500 |

(−1,0) | 0.0631 | 0.0630 |

Note:
${T}_{pq}^{\left(\text{cap}\right)}$ is the fraction of the incident energy transmitted in the (

p,

q) order as calculated by our program.

${R}_{pq}^{\left(\text{ind}\right)}$ is the fraction of the incident energy reflected in the (

p,

q) order as calculated by the earlier inductive program.

#### Table III

Physical Dimensions of Capacitive Meshes

Mesh | d(μm) | c/d | τ(nm) |
---|

1 | 253 | 0.80 | 90 |

2 | 169 | 0.78 | 70 |

3 | 100 | 0.80 | ~100 |

Note: The uncertainties in the above measurements are ±1% for

d, ±2% for

c/

d, and ±5 nm for

τ (except for mesh 3 where

τ is only an estimate).

#### Table IV

Equivalent Circuit Parameters for Square Capacitive and Inductive Meshes with c/d = 0.724

n | C_{Cqs} | L_{C} |
$\frac{{C}_{Cqs}}{1+{n}^{2}}$ | C_{I} | L_{Iqs} |
$\frac{{C}_{I}}{1+{n}^{2}}$ |
---|

1.0 | 0.4266 | 0.055 | 0.2133 | 0.22 | 0.1067 | 0.11 |

1.5 | 0.6933 | 0.059 | 0.2133 | 0.35 | 0.1067 | 0.11 |

2.1 | 1.1540 | 0.067 | 0.2133 | 0.63 | 0.1067 | 0.12 |