Garnet

R
_{
g
}: radius (μm)

a: midrange of radius of curvature (μm)

b: midrange of dominant wavelength (μm)

c: average of the dominant wavelengths by 2 × a and b (μm)

Δζ^{a} lower bound calculated with value of b

Δζ*^{a} midrange value calculated with value of c

Δζ*^{a} upper bound calculated with value of 2 × a


g1

780

40

500

270

0.06 × 10^{−1}

0.02

0.23

g2

904

45

550

298

0.06 × 10^{−1}

0.02

0.21

g3

536

40

425

233

0.06 × 10^{−1}

0.02

0.16

g4

541

40

550

295

0.03 × 10^{−1}

0.01

0.16

g5

479

50

300

175

0.01

0.03

0.09

g6

702

40

550

295

0.04 × 10^{−1}

0.02

0.20

g7

568

45

550

298

0.04 × 10^{−1}

0.01

0.13

Average

644

43

489

288^{b}

0.05 × 10^{–1c}

0.15 × 10^{–1c}

0.16^{c}


^{a}Calculated using Eq. 8, with Γ
_{
D
} = 1.58 × 10^{−5} mm

^{b}Calculated with average values of 2 × a and b

^{c}Calculated with average values of radius R
_{g}, 2 × a, b, and c