# Delensing LAT relative Nhits v0p0

This posting documents initial stabs at answering the question: how should the Nhits map of the Delensing LAT be optimized in order to minimize ?

## Contents

## Background

So far (e.g. in low-ell BB Data Challenge 06), the relative Nhits maps of the Delensing LAT is taken to be identical to those of the Pole Deep SATs. Given that the lensing template is generated from CMB x phi(CMB, CMB) as opposed to direct imaging of map fluctuations in other components, one would expect the S/N of the lensing modes vs those of the other components to scale differently for the same input noise.

In this post, I use a very simple case to build intuition. Specifically, I answer this question: given a single-frequency SAT Nhits map, what should the Delensing LAT distribution of noise levels be in order for the S/N = 1 for the residual lensing modes.

In the regime where delensing is the limiting factor of sigma(r), this would give a close approximation of what the actual distribution of noise levels (and hence Nhits) for the Delensing LAT. I list the next steps in order to make this more realistic and applicable to survey design of the Delensing LAT.