R(λ) = r_{0} n_{0} sin z_{0} | ⌠ ^{n0} ⌡_{1} |
dn ———————————— n(r^{2} n^{2} - r_{0}^{2} sin^{2} z_{0})^{1/2} |
n = 1 + (n_{0} - 1) | ρ —— ρ_{0} |
R(λ) = B_{1} tan z_{0} + B_{2} tan^{3} z_{0} + B_{3} tan^{5} z_{0} + ... |
R(λ) = κ γ (1 - β) tan z_{0} - κ γ ( β - γ/2) tan^{3} z_{0} |
γ = n_{0} - 1 , β = | H_{0} —— r_{0} |
H_{0} = | 1 —— ρ_{0} |
⌠ ^{∞} ⌡_{0} |
ρ dh, | ρ = ρ_{0} e ^{ -h/h0} |
β = 0.001254 ( | 273.15 + t —————— 273.15 |
) |
κ = g_{0}/g = 1 + 0.005302 sin^{2} φ - 0.00000583 sin^{2} (2φ) - 0.000000315 h |
P_{s} = − 10474 + 116.43 T − 0.43284 T^{2} + 0.00053840 T^{3} ; | P_{w} = | RH ——— 100 |
P_{s} ; | P_{a} = P - P_{w} |
(n_{0}(λ) − 1) × 10^{8} = ( 2371.34 + | 683939.7 —————— (130 - σ ^{2}) |
+ | 4547.3 —————— (38.9 - σ ^{2}) |
) D_{a} | + (6487.31 + 58.058 σ^{2} − 0.71150 σ^{4} + 0.08851 σ^{6}) D_{w} |
D_{a} = ( 1 + P_{a} ( 57.90 × 10^{-8} − | 0.0009325 ———————— T ^{ } |
+ | 0.25844 —————— T ^{2} |
) ) | P_{a} ——— T ^{ } |
D_{w} = ( 1 + P_{w} (1 + 3.7 × 10^{-4} P_{w}) ( − 2.37321 × 10^{-3} + | 2.23366 ———————— T ^{ } |
− | 710.792 ———————— T ^{2 } |
+ | 77514.1 ———————— T ^{3 } |
) ) | P_{w} ——— T ^{ } |
µ(r) = | 1 ———— 2 π σ ^{2} |
e ^{ -r2/2 σ 2} |
I(λ) = | ⌠ ^{b} ⌡_{-b} |
⌠ ^{a} ⌡_{-a} |
µ(r) dx dy | = | 1 ———— 2 π σ ^{2} |
⌠ ^{b} ⌡_{-b} |
⌠ ^{a} ⌡_{-a} |
e ^{ -(x2+y2)/2 σ2} dx dy |
I(λ) = | ( | 1 ———— (2 π)^{1/2} σ |
⌠ ^{a} ⌡_{-a} |
e ^{ -x2/2 σ2} dx | ) × ( | 1 ———— (2 π)^{1/2} σ |
⌠ ^{b} ⌡_{-b} |
e ^{ -y2/2 σ2} dy | ) |
I(λ) = | 1 —— 2 |
( | 1 ———— (2 π)^{1/2} σ |
⌠ ^{(a-xo)} ⌡_{-(a-xo)} |
e ^{ -x2/2 σ2} dx | + | 1 ———— (2 π)^{1/2} σ |
⌠ ^{(a+xo)} ⌡_{-(a+xo)} |
e ^{ -x2/2 σ2} dx | ) × ( | 1 ———— (2 π)^{1/2} σ |
⌠ ^{b} ⌡_{-b} |
e ^{ -y2/2 σ2} dy | ) |
I(λ) = | 1 —— 2 |
( | 1 ———— (2 π)^{1/2} σ |
⌠ ^{(a-xo)} ⌡_{-(a-xo)} |
e ^{ -x2/2 σ2} dx | + | 1 ———— (2 π)^{1/2} σ |
⌠ ^{(a+xo)} ⌡_{-(a+xo)} |
e ^{ -x2/2 σ2} dx | ) × |
1 —— 2 |
( | 1 ———— (2 π)^{1/2} σ |
⌠ ^{(b-yo)} ⌡_{-(b-yo)} |
e ^{ -x2/2 σ2} dx | + | 1 ———— (2 π)^{1/2} σ |
⌠ ^{(b+yo)} ⌡_{-(b+yo)} |
e ^{ -x2/2 σ2} dx | ) | |