Table 1 Reported results for superoscillatory lenses

Focusing linearly and circularly polarized waves

Wang et al.⁶¹

0.6

Air

4.51

5.26

0.79

532 nm

–

0.63

0.48

Rogers et al.⁶²

0.289

Oil

–

16.1

1.35

640 nm

–

0.37

0.28

Li et al.⁶³

0.271^c

Oil

–

1.88^c

1.507

532 nm

LP

0.33

0.25

Chen et al.⁶⁵

0.454

Air

–

399.5

0.78

632.8 nm

CP

0.64

0.487

Liu et al.⁶⁶

0.46 (x-axis) 0.45 (y-axis)

Air

1.1

60.74

0.95

532.4 nm

CP

0.53

0.40

Wan et al.⁶⁷

0.49^c

Air

–

100^c

0.82

400 nm

CP

0.61

0.46

Chen et al.⁶⁸

0.379

Air

–

41.9

0.976

632.8 nm

LP

0.513

0.39

Chen et al.⁶⁹

0.406

Air

–

148

0.936

632.8 nm

LP

0.534

0.406

He et al.⁷⁰

0.319^c

Air

–

20^c

0.996

365 nm

LP

0.50

0.38

Huang et al.⁷¹

0.316

Air

–

21

0.83

632.8 nm

LP

0.60

0.458

Focusing cylinderically polarized vector waves

Venugopalan et al.⁸³

0.41

Air

–

0.948 1.6

0.71

632.8 nm 750 nm

RP

0.704

0.535

Liu et al.⁸⁵

0.42 (x-axis) 0.52 (y-axis)

Water

0.92

1.49

0.91

808 nm

RP

0.55

0.418

Liu et al.⁸⁶

0.25^c

Oil

–

347.5^c

1.42

532 nm

RP

0.35

0.27

Ye et al.⁸⁷

0.39^c

Air

–

16.3^c

0.94

632.8 nm

RP

0.53

0.40

Yu et al.⁸⁸

0.456

Air

5

200

0.93

632.8 nm

RP

0.537

0.409

Chen et al.⁹⁵

0.61

Air

–

599.8

0.64

632.8 nm

AP

0.781

0.594

Wu et al.⁹⁶

0.368

Air

2

200.89

0.955

632.8 nm

AP

0.523

0.398

Luo et al.¹⁰⁴

0.47^c

Air

–

5.8^c

0.86

857 nm

RP

0.58

0.44

0.43^c

Air

–

5.8^c

0.86

857 nm

AP

0.58

0.44

Li et al.¹⁰⁶

0.41^c

Air

–

2^c

0.96

1550 nm

RP

0.52

0.395

0.34^c

Air

–

2^c

0.96

1550 nm

AP

0.52

0.395

Zuo et al.¹⁰⁷

0.419^c

Air

5.6^c

6.56^c

0.956

915 nm

RP

0.52

0.397

Sub-diffraction optical needles and diffractionless beams

Rogers et al.¹¹³

0.42

Air

11

9.2

0.96

640 nm

LP

0.521

0.396

Yuan et al.¹¹⁴

0.45

Air

15

24.7

0.89

405 nm

CP

0.529

0.425

Liu et al.¹¹⁵

0.67^c (x-axis) 0.31^c (y-axis)

Water

12.4^c

75^c

1.25

193 nm

LP

0.40

0.31

Qin et al.¹¹⁶

0.42–0.49

Air

12

240

~0.95

633 nm

AP

~0.52

~0.40

Ruan et al.¹¹⁷

1.212

Air

19.7

420

~0.36

118.8μm

LP

~1.41

~1.07

Wang et al.¹¹⁸

0.43^c

Air

4^c

–

0.95

–

RP

0.526

0.40

Kitamura et al.¹¹⁹

0.4^c

Air

4^c

–

0.9

980 nm

RP

0.556

0.422

Peng et al.¹²⁰

0.44^c

Air

2.65^c

2.12^c

0.81

632.8

RP

0.62

0.47

Qin et al.¹²¹

0.407

Air

12

135

0.98

405 nm

CP

0.51

0.39

Chen et al.¹²⁴

0.34–0.52

Air

10

300

0.91

632.8 nm

AP

0.55

0.418

Zhang et al.¹²⁹

0.34–0.53

Air

94

~230

~0.93

632.8 nm

AP

0.538

0.408

Wu et al.¹³⁰

0.40–0.54

Air

90

~230

~0.93

632.8 nm

CP

0.538

0.408

0.43–0.54

Air

73

~230

~0.93

632.8 nm

RP

0.538

0.408

0.34–0.41

Air

80

~230

~0.93

632.8 nm

AP

0.538

0.408

Wu et al.¹³²

94–98

Air

68,426

1585000

0.005

632.8 nm

LP

100

76

Generation of sub-diffraction 3D hollow spots

Wu et al.¹³⁹

0.546 (Lateral) 1.585 (Axial)

Air

–

300

0.91

632.8 nm

RP&AP

0.55

0.42

Broadband and achromatic

Tang et al.¹⁴⁰

2.17

1.65

1.39

1.18

Air

–

229.6

133.5

94.8

61.1

0.16

0.21

0.24

0.30

405 nm

532 nm

632.8 nm

785 nm

CP

3.14

2.42

2.06

1.68

2.39

1.84

1.57

1.27

Yuan et al.¹⁴¹

0.457

0.445

0.54

Air

–

24.69 18.80 15.80

0.89

405 nm

532 nm

633 nm

LP

0.56

0.43

Optical quantum superoscillation

Yuan et al.¹⁴⁵

0.49

Air

–

12.3

0.95

810 nm

CP

0.53

0.40