US 2018/0007342 A1Published application

Method for determining the complex amplitude of the electromagnetic field associated with a scene

AssigneeUniversidad De La Laguna

InventorsJosé Manuel Rodríguez Ramos, Jonas Phillip Lüke, Juan Manuel Trujillo Sevilla, Juan José Fernández Valdivia

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Abstract

A method for determining the complex amplitude of the electromagnetic field associated with a scene, comprising a) capturing a plurality of images of the scene by means of a photographic camera, the images being focused in planes of focus arranged at different distances, wherein the camera comprises a lens of focal length F and a sensor arranged at a certain distance from the lens in its image space, taking at least one image pair from the plurality of images and determining the accumulated wavefront to the conjugate plane in the object space corresponding to the intermediate plane with respect to the planes of focus of the two images of the pair.

A method for determining the complex amplitude of the electromagnetic field associated with a scene, comprising:

a) capturing a plurality of images of the scene by a photographic camera, the images being focused in planes of focus arranged at different distances, wherein the camera comprises a lens or system of lenses of focal length F and a sensor arranged at a certain distance from the lens in the image space,
b) taking at least one image pair from the plurality of images and determining the accumulated wavefront to a conjugate plane in an object space corresponding to an intermediate plane with respect to the planes of focus of the two images of the pair, determining the wavefront W(x,y) as:
W

(
x
,
y
)
=
∑
p
=
0
N
-
1

d
p

Z
p

(
x
,
y
)
where {Zp(x,y)} is a predetermined set of polynomials and N is the number of polynomials used in the expansion,
wherein the coefficients dj are determined by means of solving the system of equations:
u
2

X

(
j
)
-
u
1

X

(
j
)
2

z
=
(
∑
p
=
0
N
-
1

d
p

∂
∂
x

Z
p

(
x
,
y
)
)


x
=
u
1

X

(
j
)
+
u
2

X

(
j
)
2
,
y
=
y
1

Y

(
k
)
+
u
2

Y

(
k
)
2


u
2

Y

(
k
)
-
u
1

Y

(
k
)
2

z
=
(
∑
p
=
0
N
-
1

d
p

∂
∂
x

Z
p

(
x
,
y
)
)


x
=
u
1

X

(
j
)
+
u
2

X

(
j
)
2
,
y
=
y
1

Y

(
k
)
+
u
2

Y

(
k
)
2
where 2z is the distance between the planes of focus of the two images of the pair, where {(u1X(j), u1Y(k)),j,k=1 . . . T} are points belonging to the first image of the pair, and {(u2X(j), u2Y(k)),j, k=1 . . . T} are points belonging to the second image of the pair, such that for each 1≦j, k≦T, the following is verified
∫−∞u1Y(k)∫−∞u1X(j)ƒ1XY(x,y)dxdy=s(j)s(k)
and
∫−∞u2Y(k)∫−∞u2X(j)ƒ2XY(x,y)dxdy=s(j)s(k)
where s(j) is a sequence of real numbers of values between 0 and 1, monotonically increasing for each 1≦j≦T,
where ƒXY is the two-dimensional density function which takes into account the probability of occurrence of a photon and is determined in each case by the normalized intensity I(x,y) of the corresponding image of the pair, i.e.:
∫−∞u1Y(k)∫−∞u1X(j)I1(x,y)dxdy=s(j)s(k)
∫−∞u2Y(k)∫−∞u2X(j)I2(x,y)dxdy=s(j)s(k).

216 more elements

Facts

Application

15/538,849Filed 21 Dec 2015

Priority

ES P20143190022 Dec 2014

Published

4 Jan 2018

Term ends

Not estimatedThe source records don’t support an estimate.

Classification10 codes

G01J 9/00
Measuring optical phase difference
H04N 13/207
Using stereoscopic image cameras: using a single two-dimensional [2D] image sensor
G01J 1/0411
Optical elements not provided otherwise, e.g. manifolds, windows, holograms, gratings: using focussing or collimating elements, i.e. lenses or…
G01J 11/00
Measuring the characteristics of individual optical pulses or of optical pulse trains

Abstract

Claims18