Table I
Bandwidths, SNR, Diffraction Efficiency, NPS, and the Interpolation Formulas for Various Encoding Methods
Encoding Method | q | min Mx |
|
| Quantization SNR | Representation SNR(Minimum) | Distortion SNR | Actual efficiency η, % | NPS |
---|
tc | δγ′ |
---|
Lohmann | Mx | 1 | npdrMx | (na−1)dfMy |
|
| np dr | (na−1)df | X(0,Mx) X(0,My) (10.1) |
|
Lee(1) | Mx | 1 | 4drMx | (na−1)dfMy |
|
| 4df | (na−1)df | X(0,Mx) X(0,My)(5.l) |
|
Burch |
| 2 |
|
|
|
|
|
| X(q,Mx) X(0,My) (6.3) |
|
Revised Lohmann | 1 | np | drMx | (na−1)dfMy |
|
| np dr | (na−1)df | X(q,Mx) X(0,My)(10.1) |
|
Lee(2) |
| 4 | dfMx | (na−1)dfMy |
|
| 4df | (na−1)df | X(q,Mx) X(0,My) (6.3) |
|
Arnold | 1 | np | drMx | dfMy |
|
| np dr | dr | X(q.Mx) X(0,My)(10.1) |
|
Table II
Comparison of Encoding Methods for Amplitude and Phase Varying Wavefronts with Minimum Interpolation, Constant NPS = 223 ≈ 8.4 × 106, na = 5, np = 12, df = 0.5μm, dr = 0.125 μm, and δdr = 1/32 μm
Encoding method | η % | SNR |
1/mm |
1/mm |
| Mx, My |
---|
o | R (min) | D (min) | total (min) |
---|
Lohmann | 6.1 | 30 | 0.6 | 610 | 0.6 | 670 | 500 | 8.4 | 1, 1 |
Lee(1) | 3.1 | 100 | 1.7 | 1000 | 1.7 | 500 | 500 | 4.2 | 1,1 |
Burch | 3.7 | 300 | 7.9 | 250 | 7.4 | 500 | 1000 | 4.2 | 2, 1 |
Revised Lohmann | 7.4 | 30 | 13.8 | 610 | 9.3 | 670 | 500 | 8.4 | 12, 1 |
Lee(2) | 3.9 | 100 | 13.8 | 1000 | 12.0 | 500 | 500 | 4.2 | 4,1 |
Table III
Comparison of Encoding Methods for Amplitude and Phase Varying Wavefronts with Constant MxMy = 24, Constant NPS = 223 ≈ 8.4 × 106, na = 5, np = 12, df = 0.5μm, dr = 0.125 μm, and δdr = 1/32 μm
Encoding method | η% | SNR |
1/mm |
1/mm |
| Mx, My |
---|
Q | R (min) | D (min) | total (min) |
---|
Lohmann | 9.4 | 30 | 37 | 680 | 16 | 56 | 250 | 3.5 | 12,2 |
Lee(l) | 4.8 | 100 | 100 | 1200 | 48 | 42 | 250 | 1.8 | 12,2 |
Burch | 6.0 | 300 | 1200 | 7200 | 170 | 170 | 250 | 3.5 | 6,4 |
Revised Lohmann | 9.3 | 30 | 220 | 680 | 25 | 670 | 250 | 42.0 | 12,2 |
Lee(2) | 5.0 | 100 | 220 | 1200 | 65 | 170 | 250 | 7.0 | 12,2 |
Table IV
Comparison of Encoding Methods for Amplitude and Phase Varying Wavefronts with Constant MxMy = 24, Constant
, na = 5, np = 12, df = 0.5 μm, dr = 0.125 μm, and δdr = 1/32 μm
Encoding method | η% | SNR total (min) |
1/mm |
1/mm | NPS ×106 | Mx, My |
---|
Lohmann | 9.8 | 8 | 110 | 125 | 24 | 6,4 |
Lee(1) | 4.9 | 31 | 83 | 125 | 48 | 6,4 |
Burch | 5.8 | 170 | 170 | 250 | 24 | 6,4 |
Revised Lohmann | 9.3 | 25 | 670 | 250 | 2 | 12,2 |
Lee(2) | 5.0 | 90 | 330 | 125 | 12 | 6,4 |
Table V
Comparison of Encoding Methods for Phase Only Varying Wavefronts with Constant
, Variable Number of Quantization Levels, df = 0.5 μm, dr = 0.125 μm, and δdr = 1/32 μm
Encoding method | η% | SNR total (min) |
1/mm |
1/mm | NPS ×106 |
| Mx, My |
---|
Lohmann np=8 | 10 | 9.7 | 125 | 125 | 24 | 1.8 | 8,16 |
Lee(1) na=5 | 4.9 | 14.7 | 125 | 125 | 48 | 7.5 | 4,4 |
Arnold np= 16 | 10 | 15.6 | 500 | 500 | 12 | 60 | 16,4 |
Revised Lohmann np=8 | 8.9 | 17.9 | 1000 | 1000 | 3 | 15 | 8,2 |
Lee(2) na=5 | 3.9 | 10.8 | 500 | 500 | 12 | 60 | 4,1 |
Table VI
Comparison of Information Capacity of Encoding Methods for Amplitude and Phase Varying Wavefronts. The NPS is held Fixed and the Interpolation Factors are kept at their Minimum: na = 5, np = 12, df = 0.5 μm, dr = 0.125 μm, and δdr = 1/32 μm
Encoding method |
|
| SNR (Min) | Relative C (Min) |
---|
Lohmann | 670 | 500 | 0.6 | 1 |
Lee(1) | 500 | 500 | 1.7 | 1.6 |
Burch | 500 | 1000 | 7.4 | 6.8 |
Revised Lohmann | 670 | 500 | 9.3 | 5.0 |
Lee(2) | 500 | 500 | 12.0 | 4.1 |