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1995
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U. Seljak, Astrophys. J. 463
1996
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W. Hu, Astrophys. J. 522
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W. Hu, Phys. Rev. D 62
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M. Zaldarriaga, Phys. Rev. D 62
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Similar

M. Bartelmann and P. Schneider, Phys. Reps. 340
2001
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2005
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A. Lewis and A. Challinor, Phys. Reps. 429
2006
Cited alongside, same era.
K. M. Smith, O. Zahn, and O. Doré, Phys. Rev. D 76
Original
2007
Cited alongside, same era.
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2008
Cited alongside, same era.
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Original
2009
Cited alongside, same era.

Then

A. Lewis and A. Challinor, “CAMB: Code for Anisotropies in the Microwave Background,” Astrophysics Source Code Library (2011), ascl:1102.026
2011
Later among the works it cites.
D. Blas, J. Lesgourgues, and T. Tram, JCAP 7
Original
2011
Later among the works it cites.
L. E. Bleem, A. van Engelen, G. P. Holder, K. A. Aird, R. Armstrong, M. L. N. Ashby, M. R. Becker, B. A. Benson, T. Biesiadzinski, M. Brodwin, M. T. Busha, J. E. Carlstrom, C. L. Chang, H. M. Cho, T. M. Crawford, A. T. Crites, T. de Haan, S. Desai, M. A. Dobbs, O. Doré, J. Dudley, J. E. Geach, E. M. George, M. D. Gladders, A. H. Gonzalez, N. W. Halverson, N. Harrington, F. W. High, B. P. Holden, W. L. Holzapfel, S. Hoover, J. D. Hrubes, M. Joy, R. Keisler, L. Knox, A. T. Lee, E. M. Leitch, M. Lueker, D. Luong-Van, D. P. Marrone, J. Martinez-Manso, J. J. McMahon, J. Mehl, S. S. Meyer, J. J. Mohr, T. E. Montroy, T. Natoli, S. Padin, T. Plagge, C. Pryke, C. L. Reichardt, A. Rest, J. E. Ruhl, B. R. Saliwanchik, J. T. Sayre, K. K. Schaffer, L. Shaw, E. Shirokoff, H. G. Spieler, B. Stalder, S. A. Stanford, Z. Staniszewski, A. A. Stark, D. Stern, K. Story, A. Vallinotto, K. Vanderlinde, J. D. Vieira, R. H. Wechsler, R. Williamson, and O. Zahn, ApJL 753
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2012
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C. Feng, G. Aslanyan, A. V. Manohar, B. Keating, H. P. Paar, and O. Zahn, Phys. Rev. D 86

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2017

A Small-Scale Modification to the Lensing Kernel

Hadzhiyska, Boryana, Spergel, David, Dunkley, Joanna

Understand

Calculations of the Cosmic Microwave Background lensing power implemented into the standard cosmological codes such as CAMB and CLASS usually treat the surface of last scatter as an infinitely thin screen.

However, since the CMB anisotropies are smoothed out on scales smaller than the diffusion length due to the effect of Silk damping, the photons which carry information about the small-scale density distribution come from slightly earlier times than the standard recombination time.
The dominant effect is the scale dependence of the mean redshift associated with the fluctuations during recombination.
We find that fluctuations at $k = 0.01 {\rm \ Mpc^{-1}}$ come from a characteristic redshift of $z \approx 1090$, while fluctuations at $k = 0.3 {\rm \ Mpc^{-1}}$ come from a characteristic redshift of $z \approx 1130$.

Built on

D. N. Limber, Astrophys. J. 119
1954
Earlier work this paper cites.
J. Silk, Astrophys. J. 151
1968
Earlier work this paper cites.
P. J. E. Peebles and J. T. Yu, Astrophys. J. 162
1970
Earlier work this paper cites.
N. Kaiser, Astrophys. J. 388
1992
Earlier work this paper cites.
W. T. Hu, Wandering in the Background: A CMB Explorer , Ph.D. thesis , UC, Berkeley (1995), arXiv:astro-ph/9508126 [astro-ph]
1995
Earlier work this paper cites.
U. Seljak, Astrophys. J. 463
1996
Earlier work this paper cites.
W. Hu, Astrophys. J. 522
1999
Earlier work this paper cites.
W. Hu, Phys. Rev. D 62
2000
Earlier work this paper cites.
M. Zaldarriaga, Phys. Rev. D 62
2000
Earlier work this paper cites.

Similar

M. Bartelmann and P. Schneider, Phys. Reps. 340
2001
Cited alongside, same era.
A. Challinor and A. Lewis, Phys. Rev. D71
2005
Cited alongside, same era.
A. Lewis and A. Challinor, Phys. Reps. 429
2006
Cited alongside, same era.
K. M. Smith, O. Zahn, and O. Doré, Phys. Rev. D 76
Original
2007
Cited alongside, same era.
D. Munshi, P. Valageas, L. van Waerbeke, and A. Heavens, Phys. Reps. 462
2008
Cited alongside, same era.
R. de Putter, O. Zahn, and E. V. Linder, Phys. Rev. D 79
Original
2009
Cited alongside, same era.

Then

A. Lewis and A. Challinor, “CAMB: Code for Anisotropies in the Microwave Background,” Astrophysics Source Code Library (2011), ascl:1102.026
2011
Later among the works it cites.
D. Blas, J. Lesgourgues, and T. Tram, JCAP 7
Original
2011
Later among the works it cites.
L. E. Bleem, A. van Engelen, G. P. Holder, K. A. Aird, R. Armstrong, M. L. N. Ashby, M. R. Becker, B. A. Benson, T. Biesiadzinski, M. Brodwin, M. T. Busha, J. E. Carlstrom, C. L. Chang, H. M. Cho, T. M. Crawford, A. T. Crites, T. de Haan, S. Desai, M. A. Dobbs, O. Doré, J. Dudley, J. E. Geach, E. M. George, M. D. Gladders, A. H. Gonzalez, N. W. Halverson, N. Harrington, F. W. High, B. P. Holden, W. L. Holzapfel, S. Hoover, J. D. Hrubes, M. Joy, R. Keisler, L. Knox, A. T. Lee, E. M. Leitch, M. Lueker, D. Luong-Van, D. P. Marrone, J. Martinez-Manso, J. J. McMahon, J. Mehl, S. S. Meyer, J. J. Mohr, T. E. Montroy, T. Natoli, S. Padin, T. Plagge, C. Pryke, C. L. Reichardt, A. Rest, J. E. Ruhl, B. R. Saliwanchik, J. T. Sayre, K. K. Schaffer, L. Shaw, E. Shirokoff, H. G. Spieler, B. Stalder, S. A. Stanford, Z. Staniszewski, A. A. Stark, D. Stern, K. Story, A. Vallinotto, K. Vanderlinde, J. D. Vieira, R. H. Wechsler, R. Williamson, and O. Zahn, ApJL 753
Original
2012
Later among the works it cites.
C. Feng, G. Aslanyan, A. V. Manohar, B. Keating, H. P. Paar, and O. Zahn, Phys. Rev. D 86

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M. D. Niemack, P. A. R. Ade, J. Aguirre, F. Barrientos, J. A. Beall, J. R. Bond, J. Britton, H. M. Cho, S. Das, M. J. Devlin, S. Dicker, J. Dunkley, R. Dünner, J. W. Fowler, A. Hajian, M. Halpern, M. Hasselfield, G. C. Hilton, M. Hilton, J. Hubmayr, J. P. Hughes, L. Infante, K. D. Irwin, N. Jarosik, J. Klein, A. Kosowsky, T. A. Marriage, J. McMahon, F. Menanteau, K. Moodley, J. P. Nibarger, M. R. Nolta, L. A. Page, B. Partridge, E. D. Reese, J. Sievers, D. N. Spergel, S. T. Staggs, R. Thornton, C. Tucker, E. Wollack, and K. W. Yoon, Proc. SPIE 7741

2010

Cited alongside, same era.

K. Arnold, P. A. R. Ade, A. E. Anthony, F. Aubin, D. Boettger, J. Borrill, C. Cantalupo, M. A. Dobbs, J. Errard, D. Flanigan, A. Ghribi, N. Halverson, M. Hazumi, W. L. Holzapfel, J. Howard, P. Hyland, A. Jaffe, B. Keating, T. Kisner, Z. Kermish, A. T. Lee, E. Linder, M. Lungu, T. Matsumura, N. Miller, X. Meng, M. Myers, H. Nishino, R. O’Brient, D. O’Dea, H. Paar, C. Reichardt, I. Schanning, A. Shimizu, C. Shimmin, M. Shimon, H. Spieler, B. Steinbach, R. Stompor, A. Suzuki, T. Tomaru, H. T. Tran, C. Tucker, E. Quealy, P. L. Richards, and O. Zahn, Proc. SPIE 7741

2010

Cited alongside, same era.

Original

2012

Later among the works it cites.

B. D. Sherwin, S. Das, A. Hajian, G. Addison, J. R. Bond, D. Crichton, M. J. Devlin, J. Dunkley, M. B. Gralla, M. Halpern, J. C. Hill, A. D. Hincks, J. P. Hughes, K. Huffenberger, R. Hlozek, A. Kosowsky, T. Louis, T. A. Marriage, D. Marsden, F. Menanteau, K. Moodley, M. D. Niemack, L. A. Page, E. D. Reese, N. Sehgal, J. Sievers, C. Sifón, D. N. Spergel, S. T. Staggs, E. R. Switzer, and E. Wollack, Phys. Rev. D 86

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2012

Later among the works it cites.

S. Das, R. de Putter, E. V. Linder, and R. Nakajima, JCAP 11

Original

2012