A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

L.
L.
Doskolovich
and
M.
A.
Moiseev
, “Calculating radially symmetric refracting
surfaces allowing for Fresnel losses,”
Komp'yut. Opt. 32, 201 (2008).

A.
A.
Belousov
and
L.
L.
Doskolovich
, “Gradient method of solving the problem of
focusing in a two-dimensional region with an extended
source,” Komp'yut. Opt. 31, No. 3, 20
(2007).

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
Bernard
, “Designing a mirror to form a line-shaped
directivity diagram,” J. Mod. Opt. 54, 589
(2007).

[CrossRef]

L.
L.
Doskolovich
,
N.
L.
Kazanskiĭ
, and
M.
A.
Trenina
, “Calculating a mirror for shaping a
directional pattern in the form of a line segment,” Avtometriya 42, No. 4, 67
(2006).

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
I.
Kharitonov
, “Designing reflectors to generate a
line-shaped directivity diagram,” J. Mod. Opt. 52, 1529
(2005).

[CrossRef]

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

R.
A.
Hicks
, “Designing a mirror to realize a given
projection,” J. Opt. Soc. Am.
A 22, 323
(2005).

[CrossRef]

L.
L.
Doskolovich
and
N.
L.
Kazanskiĭ
, “Calculating a mirror for the formation of a
single-parameter directional pattern,” Avtometriya 40, No. 5, 104
(2004).

J.
Muschaweck
and
H.
Ries
, “Tailored freeform optical
surface,” J. Opt. Soc. Am.
A 19, 590
(2002).

[CrossRef]

J.
Muschaweck
and
H.
Ries
, “Tailoring freeform lenses for
illuminations,” Proc. SPIE 4442, 43
(2001).

[CrossRef]

S.
Doyle
,
D.
Corcoran
, and
J.
Connell
, “Automated mirror design using an evolution
strategy,” Opt. Eng. 38, 323
(2001).

[CrossRef]

P.
Guan
and
X.-J.
Wang
, “On a Monge-Ampere equation arising
in geometric optics,” J. Diff. Geom. 48, 205 (1998).

V.
Oliker
and
A.
Treibergs
, “Geometry and nonlinear partial differential
equations,” Contemp. Math. 127, 1 (1992).

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

A.
A.
Belousov
and
L.
L.
Doskolovich
, “Gradient method of solving the problem of
focusing in a two-dimensional region with an extended
source,” Komp'yut. Opt. 31, No. 3, 20
(2007).

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
Bernard
, “Designing a mirror to form a line-shaped
directivity diagram,” J. Mod. Opt. 54, 589
(2007).

[CrossRef]

S.
Doyle
,
D.
Corcoran
, and
J.
Connell
, “Automated mirror design using an evolution
strategy,” Opt. Eng. 38, 323
(2001).

[CrossRef]

S.
Doyle
,
D.
Corcoran
, and
J.
Connell
, “Automated mirror design using an evolution
strategy,” Opt. Eng. 38, 323
(2001).

[CrossRef]

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

L.
L.
Doskolovich
and
M.
A.
Moiseev
, “Calculating radially symmetric refracting
surfaces allowing for Fresnel losses,”
Komp'yut. Opt. 32, 201 (2008).

A.
A.
Belousov
and
L.
L.
Doskolovich
, “Gradient method of solving the problem of
focusing in a two-dimensional region with an extended
source,” Komp'yut. Opt. 31, No. 3, 20
(2007).

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
Bernard
, “Designing a mirror to form a line-shaped
directivity diagram,” J. Mod. Opt. 54, 589
(2007).

[CrossRef]

L.
L.
Doskolovich
,
N.
L.
Kazanskiĭ
, and
M.
A.
Trenina
, “Calculating a mirror for shaping a
directional pattern in the form of a line segment,” Avtometriya 42, No. 4, 67
(2006).

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
I.
Kharitonov
, “Designing reflectors to generate a
line-shaped directivity diagram,” J. Mod. Opt. 52, 1529
(2005).

[CrossRef]

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

L.
L.
Doskolovich
and
N.
L.
Kazanskiĭ
, “Calculating a mirror for the formation of a
single-parameter directional pattern,” Avtometriya 40, No. 5, 104
(2004).

S.
Doyle
,
D.
Corcoran
, and
J.
Connell
, “Automated mirror design using an evolution
strategy,” Opt. Eng. 38, 323
(2001).

[CrossRef]

P.
Guan
and
X.-J.
Wang
, “On a Monge-Ampere equation arising
in geometric optics,” J. Diff. Geom. 48, 205 (1998).

R.
A.
Hicks
, “Designing a mirror to realize a given
projection,” J. Opt. Soc. Am.
A 22, 323
(2005).

[CrossRef]

L.
L.
Doskolovich
,
N.
L.
Kazanskiĭ
, and
M.
A.
Trenina
, “Calculating a mirror for shaping a
directional pattern in the form of a line segment,” Avtometriya 42, No. 4, 67
(2006).

L.
L.
Doskolovich
and
N.
L.
Kazanskiĭ
, “Calculating a mirror for the formation of a
single-parameter directional pattern,” Avtometriya 40, No. 5, 104
(2004).

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
Bernard
, “Designing a mirror to form a line-shaped
directivity diagram,” J. Mod. Opt. 54, 589
(2007).

[CrossRef]

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
I.
Kharitonov
, “Designing reflectors to generate a
line-shaped directivity diagram,” J. Mod. Opt. 52, 1529
(2005).

[CrossRef]

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
I.
Kharitonov
, “Designing reflectors to generate a
line-shaped directivity diagram,” J. Mod. Opt. 52, 1529
(2005).

[CrossRef]

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

I.
Knowles
and
Y.
Satio
, “Radially symmetric solutions of a
Monge-Ampere equation arising in the reflector mapping
problem (with P. Waltman),” in Proceedings
of the UAB International Conference on Differential Equations and
Mathematical Physics, Lecture Notes in Math, Springer-Verlag,
1987, pp. 973-1000.

L.
L.
Doskolovich
and
M.
A.
Moiseev
, “Calculating radially symmetric refracting
surfaces allowing for Fresnel losses,”
Komp'yut. Opt. 32, 201 (2008).

J.
Muschaweck
and
H.
Ries
, “Tailored freeform optical
surface,” J. Opt. Soc. Am.
A 19, 590
(2002).

[CrossRef]

J.
Muschaweck
and
H.
Ries
, “Tailoring freeform lenses for
illuminations,” Proc. SPIE 4442, 43
(2001).

[CrossRef]

V.
Oliker
and
A.
Treibergs
, “Geometry and nonlinear partial differential
equations,” Contemp. Math. 127, 1 (1992).

J.
Muschaweck
and
H.
Ries
, “Tailored freeform optical
surface,” J. Opt. Soc. Am.
A 19, 590
(2002).

[CrossRef]

J.
Muschaweck
and
H.
Ries
, “Tailoring freeform lenses for
illuminations,” Proc. SPIE 4442, 43
(2001).

[CrossRef]

I.
Knowles
and
Y.
Satio
, “Radially symmetric solutions of a
Monge-Ampere equation arising in the reflector mapping
problem (with P. Waltman),” in Proceedings
of the UAB International Conference on Differential Equations and
Mathematical Physics, Lecture Notes in Math, Springer-Verlag,
1987, pp. 973-1000.

V.
Oliker
and
A.
Treibergs
, “Geometry and nonlinear partial differential
equations,” Contemp. Math. 127, 1 (1992).

L.
L.
Doskolovich
,
N.
L.
Kazanskiĭ
, and
M.
A.
Trenina
, “Calculating a mirror for shaping a
directional pattern in the form of a line segment,” Avtometriya 42, No. 4, 67
(2006).

P.
Guan
and
X.-J.
Wang
, “On a Monge-Ampere equation arising
in geometric optics,” J. Diff. Geom. 48, 205 (1998).

L.
L.
Doskolovich
and
N.
L.
Kazanskiĭ
, “Calculating a mirror for the formation of a
single-parameter directional pattern,” Avtometriya 40, No. 5, 104
(2004).

L.
L.
Doskolovich
,
N.
L.
Kazanskiĭ
, and
M.
A.
Trenina
, “Calculating a mirror for shaping a
directional pattern in the form of a line segment,” Avtometriya 42, No. 4, 67
(2006).

V.
Oliker
and
A.
Treibergs
, “Geometry and nonlinear partial differential
equations,” Contemp. Math. 127, 1 (1992).

P.
Guan
and
X.-J.
Wang
, “On a Monge-Ampere equation arising
in geometric optics,” J. Diff. Geom. 48, 205 (1998).

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
I.
Kharitonov
, “Designing reflectors to generate a
line-shaped directivity diagram,” J. Mod. Opt. 52, 1529
(2005).

[CrossRef]

L.
L.
Doskolovich
,
N.
L.
Kazanskiy
, and
S.
Bernard
, “Designing a mirror to form a line-shaped
directivity diagram,” J. Mod. Opt. 54, 589
(2007).

[CrossRef]

J.
Muschaweck
and
H.
Ries
, “Tailored freeform optical
surface,” J. Opt. Soc. Am.
A 19, 590
(2002).

[CrossRef]

R.
A.
Hicks
, “Designing a mirror to realize a given
projection,” J. Opt. Soc. Am.
A 22, 323
(2005).

[CrossRef]

A.
A.
Belousov
and
L.
L.
Doskolovich
, “Gradient method of solving the problem of
focusing in a two-dimensional region with an extended
source,” Komp'yut. Opt. 31, No. 3, 20
(2007).

L.
L.
Doskolovich
and
M.
A.
Moiseev
, “Calculating radially symmetric refracting
surfaces allowing for Fresnel losses,”
Komp'yut. Opt. 32, 201 (2008).

L.
L.
Doskolovich
and
S.
I.
Kharitonov
, “Calculating the surface shape of mirrors for
shaping an image in the form of a line,” Opt.
Zh. 72, No. 4, 34
(2005)
L.
L.
Doskolovich
and
S.
I.
Kharitonov
,[J. Opt.
Technol. 72, 318 (2005)].

S.
Doyle
,
D.
Corcoran
, and
J.
Connell
, “Automated mirror design using an evolution
strategy,” Opt. Eng. 38, 323
(2001).

[CrossRef]

A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
, “A gradient method of designing optical
elements for forming a specified irradiance on a curved
surface,” Opt. Zh. 75, No. 3, 30
(2008)
A.
A.
Belousov
,
L.
L.
Doskolovich
, and
S.
I.
Kharitonov
,[J. Opt.
Technol. 75, 161 (2008)].

J.
Muschaweck
and
H.
Ries
, “Tailoring freeform lenses for
illuminations,” Proc. SPIE 4442, 43
(2001).

[CrossRef]

I.
Knowles
and
Y.
Satio
, “Radially symmetric solutions of a
Monge-Ampere equation arising in the reflector mapping
problem (with P. Waltman),” in Proceedings
of the UAB International Conference on Differential Equations and
Mathematical Physics, Lecture Notes in Math, Springer-Verlag,
1987, pp. 973-1000.